Answer:
16 visitors per hour
Step-by-step explanation:
96/6 = 16
5/8 of the staff are male. 5/12 of the staff works part time at the aquarium what fraction of the staff is female?
Answer:
3/8
Step-by-step explanation:
If 5/8 of the staff are male, then the remaining staff must be female, which is 1 - 5/8 = 3/8 of the staff.
So, the fraction of the staff that is female is 3/8.
ALLEN
There are 150 employees in a factory.(2/3)of the employees are males. Then, 20 male employees and 10 female employees are resigned. A employee is chosen at random from the remaining employees. Find the probability of choosing a female employee.
===================================================
Explanation:
2/3 of 150 = (2/3)*150 = 100 employees are male and 150-100 = 50 employees are female. This is before the resignations.
After the resignations happen, we would have:
100-20 = 80 males remain50-10 = 40 females remain80+40 = 120 employees remain.The chances of picking a female employee at random would be 40/120 = 1/3 which is the final answer.
Notice how the chances haven't changed from earlier (male = 2/3 chance, so 1-2/3 = 1/3 are the chances of picking a woman). Why is this? Well notice the ratio of 20 men to 10 women resigning. This ratio is 2:1, meaning twice as many men resigned. Furthermore, notice how 2/3 is twice that of 1/3.
This keeps the same proportion of men to women. Therefore, the odds haven't changed.
What is the range of f(x) = 3* + 9?
{yly<9}
{yly > 9}
{yly > 3}
{yly <3}
Answer:
{y l y > 9}
Step-by-step explanation:
Given function:
[tex]f(x)=3^x+9[/tex]
The given function is an exponential function.
The parent function is the basic equation before the function has undergone any transformation(s). Therefore, the parent function of the given function is:
[tex]f(x) = 3^x[/tex]The range of the parent function is restricted to positive real numbers as it never takes a negative value. Furthermore, it never reaches zero (although it approaches y = 0 as x → -∞). Therefore, the range of the parent function is {y | y > 0}.
As the given function has been translated up 9 units (by the addition of "+ 9"), the range of the given function is translated 9 units up. So as x approaches negative infinity, y approaches (but never reaches) 9. Therefore, the range of the given function is:
{y | y > 9}Question 7(Multiple Choice Worth 1 points)
(06.02 MC)
Three friends, Martin, Tyreese, and Braydon, are collecting donations to help in their community's clean-up initiative. Their total contribution goal is represented by the expression
7x²-4xy+8. The friends have already collected the following amounts
Martin: 5xy + 16
Tyreese: x²
Braydon: 4x²-7
Which expression represents the amount of money the friends still need to collect to meet their goal?
A.2x²-9xy-1
B.2x² + xy +17
C.5x²+5xy+9
D.12x² + xy + 17
The algebraic expression that represents the amount that they still need to raise is given as follows:
A. 2x² - 9xy - 1.
How to obtain the algebraic expression?The total amount that the three friends want to raise is defined as follows:
7x² - 4xy + 8.
The total amount raised is obtained adding the amounts raised by each of the friends, as follows:
5xy + 16 + x² + 4x² - 7 = 5x² + 5xy + 9.
Then the remaining amount to be raised is obtained by the subtraction of the total amount by the amount raised, as follows:
7x² - 4xy + 8 - (5x² + 5xy + 9) = 7x² - 5x² - 4xy - 5xy + 8 - 9
7x² - 4xy + 8 - (5x² + 5xy + 9) = 2x² - 9xy - 1.
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the process standard deviation is 0.15 , and the process control is set at plus or minus 2.4 standard deviations. units with weights less than or greater than ounces will be classified as defects. what is the probability of a defect (to 4 decimals)?
The probability of a defect (weights less than -0.36 ounces or greater than 0.36 ounces) is approximately 0.0521 × 2 = 0.1042 or 10.42% to four decimal places.
To find the probability of a defect, we need to determine the range of weights that would be considered as defects. The process control limit is set at plus or minus 2.4 standard deviations, which means that any weight outside the range of mean ± 2.4× standard deviation would be considered a defect. Let's calculate the mean weight (μ): μ = 0
And the control limit (LCL and UCL):
LCL = μ - (2.4 × standard deviation)
= 0 - (2.4 × 0.15) = -0.36 UCL
= μ + (2.4 × standard deviation)
= 0 + (2.4 × 0.15) = 0.36.
Since the standard deviation is 0.15 ounces and the normal distribution is symmetrical, the probability of a weight being less than -0.36 ounces or greater than 0.36 ounces is equal. To calculate the probability, we can use the cumulative distribution function (CDF) of a standard normal distribution. Using a standard normal table or a calculator with statistical functions, we can find that the probability of a standard normal distribution being less than -0.36 or greater than 0.36 is about 0.0521 or 5.21%. So, the probability of a defect (weights less than -0.36 ounces or greater than 0.36 ounces) is approximately 0.0521 × 2 = 0.1042 or 10.42% to four decimal places.
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Solve the equation.
7x2 + 5 - x = 6x2 + 10
Factor the polynomial by factoring out the greatest common factor, 7x2 + 5 - x = 6x2 + 10
x = -5
Soultion:
→ 7 × 2 + 5 - x = 6 × 2 + 10
Multiply.
→ 14 + 5 - x = 12 + 10.
Combine like terms.
→ 19 - x = 24
Isolate x (I'm going to add x and subtract 24 from both sides to avoid changing signs)
Answer
→ = x = -5
The coefficient of x² in the expansion of (2-x)(3 + bx)³ is 45. Find possible values of the
constant b.
Answer:
The possible values of the constant b are:
[tex]b = -1, \quad b = \dfrac{5}{2}[/tex]
Step-by-step explanation:
The coefficient of x² in the expansion of (2 - x)(3 + bx)³ can be found by expanding the brackets.
Expand the cubed part by using the (a + b)³ formula:
(a + b)³ = a³ + 3a²b + 3ab² + b³
Therefore:
[tex]\begin{aligned}(3 + bx)^3 &= (3)^3 + 3(3)^2(bx) + 3(3)(bx)^2 + (bx)^3\\&= 27 + 27bx + 9b^2x^2 + b^3x^3\end{aligned}[/tex]
So:
[tex](2-x)(3 + bx)^3 = (2-x)(27 + 27bx + 9b^2x^2 + b^3x^3)[/tex]
To find the coefficient of the term in x², multiply the constant in the first parentheses by the coefficient of the term in x² in the second parentheses and add this to the product of the coefficient of the term in x in the first parentheses and the coefficient of the term in x in the second parentheses:
[tex](\bold{2}-x)(27 + 27bx + \bold{9b^2}x^2 + b^3x^3)\\\phantom{.}\underbrace{\uparrow \qquad \qquad\qquad\qquad\;\uparrow}\\ \phantom{wlwww}\text{multiply}[/tex]
[tex](2-x)(27 + \bold{27b}x + 9b^2x^2 + b^3x^3)\\\phantom{bbb..}\underbrace{\uparrow \qquad \quad\;\uparrow}\\ \phantom{ww.w}\text{multiply}[/tex]
Therefore, the expression for the coefficient of x² is:
[tex]2 \cdot 9b^2 + (-1) \cdot 27b[/tex]
Since the coefficient of x² in the expansion is 45, set the expression to 45 and solve for b:
[tex]\begin{aligned}2 \cdot 9b^2+(-1) \cdot 27b&=45\\18b^2-27b&=45\\18b^2-27b-45&=0\\9(2b^2-3b-5)&=0\\2b^2-3b-5&=0\\2b^2-5b+2b-5&=0\\b(2b-5)+1(2b-5)&=0\\(b+1)(2b-5)&=0\\\\ \implies b+1&=0 \implies b=-1\\ \implies 2b-5&=0 \implies b=\dfrac{5}{2}\end{aligned}[/tex]
Therefore the possible values of the constant b are:
[tex]b = -1, \quad b = \dfrac{5}{2}[/tex]
8. On the graph below, plot the points (-6,-6) and (6, 6). Find the distance
between the two points.
Answer:
You are correct it is 12.
Step-by-step explanation:
Answer: Square root of 288, or estimated 16.97
Step-by-step explanation:
Conveniently, the points form a diagonal line as you show, so we can use the Pythagorean Theorem to find the distance.
The x-component of this is the distance between -6 and 6, which is 12, and the y-component is again the distance between -6 and 6, which is also 12.
Therefore, the distance is the square root of 12^2 + 12^2, or the squareroot of 288.
if something costs 9.95 how much you give them and how much is your change?
Answer:
10.00 & 0.05
Step-by-step explanation:
[tex]10.00 - 0.05 = 9.95[/tex]
The amount of money as change is $ 0.05 and the amount of money given is $ 10.00
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Let the cost of the item = $ 9.95
The amount of money given = $ 10.00
So , the amount of money received as change = amount of money given - cost of the item
On simplifying the equation , we get
The amount of money received as change = 10.00 - 9.95
The amount of money received as change = $ 0.05
Hence , the amount of change is $ 0.05
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Please help thank you
The plane's true bearing is $27.9°N of W, and its estimated ground speed is 473.3 mph.
Why is math speed important?Math is made more fascinating and enjoyable using Speed Maths (Vedic Maths). by assisting the child in quickly performing some improbable computations. By combining the correct amount of enjoyment, memory, skills, memory recall, and formula application, your child will become a superstar performer.
Let's start with the airplane's speed.
A bearing of N25°W corresponds to a anticlockwise angle of 65° when measured from the westward direction (W).
As a result, the airplane's velocity vector can be divided into its north-south and east-west components as shown below:
V_A,north = 480 cos(65°) ≈ 200.5 mph (northward)
V_A,west = 480 sin(65°) ≈ 447.3 mph (westward)
V_W,north = 45 sin(75°) ≈ 43.5 mph (northward)
V_W,west = 45 cos(75°) ≈ 11.3 mph (westward)
To find the net velocity of the airplane, we can add the north-south and east-west components of the airplane velocity and wind velocity separately:
V_net,north = V_A,north + V_W,north ≈ 200.5 + 43.5 ≈ 244.0 mph (northward)
V_net,west = V_A,west + V_W,west ≈ 447.3 + 11.3 ≈ 458.6 mph (westward)
Now we can use the Pythagorean theorem to find the magnitude of the net velocity:
|V_net| = sqrt(V_net,north² + V_net,west²) ≈ 473.3 mph
To find the actual bearing of the airplane, we can use the inverse tangent function:
tan⁻¹(V_net,north / V_net,west) ≈ 27.9°
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a student committee has 6 membersâ4 undergraduate and 2 graduate students. a subcommittee of 3 members is to be chosen randomly so that each possible combination of 3 of the 6 students is equally likely to be selected. what is the probability that there will be no graduate students on the subcommittee?
The probability of choosing a subcommittee of 3 members with no graduate students is 0.2, or 20%.
The number of possible subcommittees that contain only undergraduate students can be calculated by choosing 3 members from the 4 undergraduate students. This can be done in (4 choose 3) = 4 ways.
The total number of possible subcommittees of three students that can be formed from the 6 members of the committee can be calculated by choosing 3 members from the 6 students. This can be done in (6 choose 3) = 20 ways.
Therefore, the probability that there will be no graduate students on the subcommittee is:
Number of subcommittees with only undergraduate students / Total number of possible subcommittees
= 4 / 20
= 1/5
= 0.2
So, the probability of choosing a subcommittee of 3 members with no graduate students is 0.2, or 20%.
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Kelly had 64 plums. She gave her friend 16 and her sister 32 . What percentage of the plums did she have remaining. Show working
the coordinates of the endpoints of rs are r(1,11) and s(6,1). point t is on rs and divides it such that rt:st is 4:1. what are the coordinates of t?
The coordinates of the endpoints of rs are r(1,11) and s(6,1). point t is on rs and divides it such that rt:st is 4:1.
the coordinates of the point t are (5, 3)
We may utilise the notion of section formula to get the coordinates of point T, which states that if we have two points A(x1, y1) and B(x2, y2) and a point P splitting the line segment AB in the ratio m:n, then the coordinates of point P can be calculated using the following formula:
P = ((mx2 + nx1)/(m+n), (my2 + ny1)/(m+n))
In this situation, we have the coordinates of points R and S, as well as the ratio of T divided by RS. So, let's enter the following values into the formula to determine T's coordinates:
Let the coordinates of point T be (x, y), and the ratio of T to RS be 4:1, implying that RT:ST = 4:1. This means that RT = 4/5 (RS length) and ST = 1/5. (length of RS).
RS length =[tex]sqrt((6-1)^2 + (1-11)^2)[/tex] = [tex]sqrt (146)[/tex]
RT=[tex](4/5) * sqrt(146)[/tex] = [tex](4/5) * 12.083[/tex] = 9.666
ST =[tex]1/5* sqrt(146)[/tex] = [tex]1/5* 12.083[/tex] = 2.4166
We get the following using the section formula:
x = (4×6 + 1×1)/(4+1) = 5
y = (4×1 + 1×11)/(4+1) = 3
T = (5, 3)
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250 cm
x cm
x cm
Not to scale
A solid metal bar is in the shape of a cuboid of length of 250 cm.
The cross-section is a square of side x cm.
The volume of the cuboid is 4840 cm³.
(a) Show that x = 4.4.
Answer: We know that the volume of a cuboid is given by the product of its length, width and height, or V = l * w * h. In this case, the length is 250 cm and the height and width are both x cm. So, the volume can be written as:
V = 250 * x * x
Substituting the given value of V = 4840 cm³, we get:
4840 = 250 * x * x
Dividing both sides by 250, we get:
19.36 = x * x
Taking the square root of both sides, we get:
x = ±√19.36
Since the side length of a square must be positive, we use the positive square root:
x = ±4.4 cm
Therefore, the side length of the square cross-section is 4.4 cm.
Step-by-step explanation:
Five times a number is the same as 30 more than 8 times the number. Find the number.
If n is "the number," which equation could be used to solve for the number?
Answer:
Number is -10
Step-by-step explanation:
Let Number be x
so, 5x= 30+8x
Take 30 other side and 5x other side
so, 8x-5x=-30
3x=-30
x=-10
HOPE THIS HELPS... THANK YOU
Need help on these questions. What are the values of x? Need step by step.
8x²=6x²+5x²
-7x²+6=x²-7x²
7x²+9x²=-6x²-7x
Answer: Check down below!!!
Step-by-step explanation:
8x² = 6x² + 5x²
This problem can be solved by combining like terms. To do this, we add up the coefficients of the x² terms:
8x² = 6x² + 5x²
8x² = 11x²
Now, we can isolate x² by subtracting 11x² from both sides of the equation:
8x² - 11x² = 11x² - 11x²
-3x² = 0
Finally, we can divide both sides of the equation by -3 to get:
(-3x²)/(-3) = 0/(-3)
x² = 0
So the solution is x = 0.
-7x² + 6 = x² - 7x²
This problem can be solved by combining like terms. To do this, we add up the coefficients of the x² terms:
-7x² + 6 = x² - 7x²
-7x² + x² = -7x² + 6
-6x² = 6
Now, we can isolate x² by dividing both sides of the equation by -6:
(-6x²)/(-6) = 6/(-6)
x² = -1
So the solution is x = ±√(-1), which is an imaginary number.
7x² + 9x² = -6x² - 7x
This problem can be solved by combining like terms. To do this, we add up the coefficients of the x² terms:
7x² + 9x² = -6x² - 7x
16x² = -6x² - 7x
Now, we can isolate x² by adding 6x² to both sides of the equation:
16x² + 6x² = -6x² + 6x² - 7x
22x² = -7x
Finally, we can divide both sides of the equation by 22 to get:
22x²/22 = -7x/22
x² = -7x/22
So the solution is x = ±√(-7/22), which is a complex number.
What is the circumference of a circle with a diameter of 4 feet? Use 3.14 for TT.
d=4ft
Why greater than less than negative 2X squared +16 X -36
Answer:
Step-by-step explanation:
To determine whether a value is greater than or less than a specific result from an equation, you would need to substitute the value into the equation and solve for the result. For example, if you want to determine if the value "a" is greater than or less than the result of the equation -2x^2 + 16x - 36, you would substitute "a" for the variable x and solve for the result:
-2x^2 + 16x - 36 = -2a^2 + 16a - 36
Then you can compare the value of the result to "a" to determine whether it is greater than or less than.
If the result is greater than "a", you would write:
-2a^2 + 16a - 36 > a
If the result is less than "a", you would write:
-2a^2 + 16a - 36 < a
And if the result is equal to "a", you would write:
-2a^2 + 16a - 36 = a
It's important to note that the comparison only holds for a specific value of "a". The equation -2x^2 + 16x - 36 could have many solutions where the result is greater than, less than, or equal to "a".
Round 9,909,937 whole number
The rounded number to the nearest thousands place is 9,910,000
What is rounding a number?To change a number into an approximation having fewer significant digits is called rounding a number.
Given that, a number 9,909,937 we are asked to round it,
9,909,937 in words =
nine million nine hundred nine thousand nine hundred thirty-seven
Therefore, to round to the nearest thousand;
You rounded to the nearest thousands place. The 9 in the thousands place rounds up to 10 because the digit to the right in the hundreds place is 9.
Because the thousands place was rounded up from 9 to 10, the thousands place becomes 0 and the ten thousands place is increased by 1. When a 9 is rounded up to 10, that place value becomes 0, and we add 1 to the previous place value.
9,910,000
When the digit to the right is 5 or greater we round away from 0. 9909937 was rounded up and away from zero to 9,910,000
Hence, the rounded number to the nearest thousands place is 9,910,000
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Let f be the function given by f(x)=x³−3x². What are all values of c that satisfy the conclusion of the Mean Value Theorem of differential calculus on the closed interval [0,3]?
The Mean Value Theorem is satisfied for c = 3 on the closed interval [0,3]. This can be expressed as:
The Mean Value Theorem (MVT) of differential calculus states that for any differentiable function f(x) on the closed interval [a,b], there exists a point c between a and b such that the slope of the tangent at c is equal to the average rate of change of f(x) over [a,b]. Mathematically, this can be expressed as:
f'(c) = [f(b) - f(a)] / (b - a)
In the given function f(x) = x^3 - 3x^2, we need to find all values of c that satisfy the conclusion of the MVT on the closed interval [0,3].
First, we need to find the derivative of f(x):
f'(x) = 3x^2 - 6x
Then, we need to evaluate the average rate of change of f(x) over [0,3]:
[f(3) - f(0)] / (3 - 0) = (27 - 0) / 3 = 9
Therefore, we need to find all values of c between 0 and 3 such that f'(c) = 9.
Setting f'(c) = 9, we get:
3c^2 - 6c = 9
c^2 - 2c - 3 = 0
(c - 3)(c + 1) = 0
Thus, the two possible values of c that satisfy the conclusion of the MVT are c = 3 and c = -1. However, we need to check if these values actually lie in the closed interval [0,3]. Since -1 is not in [0,3], the only value of c that satisfies the conclusion of the MVT on [0,3] is c = 3.
Therefore, the conclusion of the Mean Value Theorem is satisfied for c = 3 on the closed interval [0,3]. This means that there exists a point c between 0 and 3 where the slope of the tangent to the graph of f(x) is equal to the average rate of change of f(x) over [0,3].
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on a certain sight-seeing tour, the ratio of the number of women to the number of children was 5 to 2. what was the number of men on the sight-seeing tour?
As per the ratio, the number of men on the sight-seeing tour is 4.
In the given sight-seeing tour, we are told that there were 14 people in total. We are also given the ratio of women to children, which is 5 to 2. This means that for every 5 women on the tour, there were 2 children.
To find the number of men on the tour, we need to first find the number of women and children. We can do this by dividing the total number of people by the ratio of women to children.
Let's use a variable to represent the number of sets of 5 women and 2 children. We'll call this variable "x".
So, the number of women on the tour is 5x and the number of children is 2x.
Now, we can set up an equation to find the value of x:
5x + 2x = 14
This equation represents the total number of women and children on the tour, which is equal to 14.
Simplifying the equation, we get:
7x = 14
Dividing both sides by 7, we get:
x = 2
This means that there were 2 sets of 5 women and 2 children on the tour. So, the number of women is:
5x = 5(2) = 10
The number of children is:
2x = 2(2) = 4
Now, we can find the number of men by subtracting the number of women and children from the total number of people:
14 - 10 = 4
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An employee records the number of minutes it takes each team to complete the escape room this week the dot plot shows the data. how amny teams completed the escape room this week
Total 21 teams completed the escape room this week.
An employee records the number of minutes it takes each team to complete the escape room this week the dot plot shows the data.
To determine how many teams completed the escape room this week we use the dot plot.
From the dot plot we can see that at 41 min have one found one employee escape from room.
At 44 min have one found 3 employee escape from room.
At 45 min have one found 2 employee escape from room.
At 46 min have one found 4 employee escape from room.
At 47 min have one found 5 employee escape from room.
At 48 min have one found 3 employee escape from room.
At 49 min have one found 2 employee escape from room.
At 50 min have one found one employee escape from room.
Team completed the escape room this week = 1 + 3 + 2 + 4 + 5 + 3 + 2 + 1
Team completed the escape room this week = 21
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Answer:21 i got it correct
Step-by-step explanation:
A large tank hold 1. 9 time 10 to the 7th power gallons of oil. How much oil can be stored in 9 tanks. Scientific notation
A large tank hold 1. 9 time 10 to the 7th power gallons of oil. The amount of oil that can be stored in 9 tanks is 1.71 x 10^8 gallons in scientific notation.
To find the amount of oil that can be stored in 9 tanks that each hold 1.9 x 10^7 gallons of oil, we can use the following steps:
Write down the number of gallons that one tank can hold: 1.9 x 10^7 gallons. Multiply this value by the number of tanks: 1.9 x 10^7 gallons/tank x 9 tanks.
To multiply the two numbers, we can simply multiply the coefficients (1.9 and 9) and add the exponents (7 in this case): (1.9 x 9) x 10^(7+0) gallons.
Simplifying the coefficient gives us 17.1, so the amount of oil that can be stored in 9 tanks is 17.1 x 10^7 gallons.
Finally, we can express this result in scientific notation by writing it as 1.71 x 10^8 gallons, since 17.1 is equivalent to 1.71 x 10.
Therefore, the amount of oil that can be stored in 9 tanks is 1.71 x 10^8 gallons in scientific notation.
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which value of x is a solution to this equation 2x2+5x−63=0
Answer: x=92x=−7
Step-by-step explanation:x=−b±b2−4ac2a=−±2−4√2Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
Answer:it’s 3
Step-by-step explanation:
so what u do is multiply
A gardener has 10 pounds of soil. He used 5/8 of the soil for his garden. How many pounds of soil did he use in the garden? How many pounds did he have left?
Answer:
Step-by-step explanation:
The gardener used 5/8 of the soil, which is equal to 10 * 5/8 = 10 * 0.625 = 6.25 pounds.
So, he used 6.25 pounds of soil in the garden.
The gardener had 10 - 6.25 = 3.75 pounds of soil left.
lily is saving up to buy a cellphone. she needs to save at least $300 before she is able to buy the phone. her grandfather gives her $40, and she earns $65 tutoring after school each week. write an inequality for the number of weeks lily will need to save to have at least $300, and describe the solutions.(2 points)
Inequality for the number of weeks lily will need to save to have at least $300 is 40 + 65*x >= 300 and 4 week needed to buy the cellphone.
The phenomenon of an unfair and/or unequal distribution of opportunities and resources among the people who make up a society is referred to as inequality. To different people and in various contexts, the word "inequality" may mean different things. Additionally, inequality has distinct yet overlapping social, economic, and geographic dimensions. The conflict between the normative concept of "deservingness" and the moral ethics of equity and social justice, on the one hand, and on the other, further complicates discussions about inequality. Inequalities that can be seen both within and between social groups have come to the forefront of public consciousness in recent years. The growing realization that inequality is systemic and ingrained in various socioeconomic and political structures is the result of this awareness. The contributions of geographers to the subject.
she needs to save at least $300 before she is able to buy the phone and
her grandfather gives her $40 so she need 300 - 40
and she earns $65 tutoring after school each week so until she will not have 260 she not able to buy.
40 + 65*x >= 300
65x >= 260
x >= 260/65
x >= 4
4 week needed.
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From a position 3.5 m above ground level in a building, an an observer measures the angle of elevation of the top of a flagpole to be 48°, and the angle of depression of the foot of the flagpole to be 35°.
How far away from the building is the flagpole?
Answer:
2.73 meters away from the building.
Step-by-step explanation:
To find the distance from the building to the flagpole, we can use the tangent function. Let's call the distance from the building to the flagpole "d".
The tangent of the angle of elevation is equal to the height of the flagpole (h) divided by the distance from the building to the flagpole (d):
tan 48° = h / d
The tangent of the angle of depression is equal to the distance from the building to the flagpole (d) divided by the height of the observer (3.5 m):
tan 35° = d / 3.5
We can use these two equations to find the value of d. Solving the first equation for h:
h = tan 48° * d
And substituting that into the second equation:
tan 35° = d / (tan 48° * d / 3.5)
Solving for d:
d = 3.5 * tan 35° / tan 48°
Using a calculator, we can find that:
d = 3.5 * tan 35° / tan 48° = 3.5 * 1.3602668 / 1.7415198 = 2.73 m
So the flagpole is 2.73 meters away from the building.
PLS HELP FAST ONLY TEN MIN LIFT WILL GIVE BRIANLIEST IF RIGHT
LOTS OF POINTS
Answer:
lol
Step-by-step explanation:
that sucks
Which choice best describes EB
radius
diameter
Line F
Point
The best describes EB is diameter of circle because it is a chord of circle which passes through the center.
What is a circle?A circle is a two-dimensional object made up of points that are spaced out from a given point (centre) on the plane by a fixed or constant distance (radius). The fixed point is referred to as the circle's origin or centre, and the fixed distance between each point and the origin is referred to as the radius.
The following components make up a circle:
Circumference: Also known as a circle's perimeter, circumference is the distance a circle travels around its circumference.
Radius: The radius is the distance a circle's center is from any point on its edge.
A diameter is a straight line that links two places on the circle's edge and passes through the center.
So that EB is describes as diameter of circle because it is a chord of circle which passes through the center.
To learn more about circle visit:
brainly.com/question/29142813
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philips metal costs $14.50 at the local restaurant. the server did their job very well and philip would like to leave a 20% tip. what amount of money should he leave as a tip?
Answer: The tip is $2.90
Step-by-step explanation: 20% of 14.50 is 2.9