The length of the side CD which is the base of the right triangle CDE is 15 feet which is option D.
We have,
We can use the Pythagorean theorem to solve for the length of the height CD in the right triangle CDE.
Where CE is the hypotenuse and De is the base.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, we have:
CD² + DE² = CE²
Plugging in the given lengths:
CD² + 8² = 17²
CD² + 64 = 289
CD² = 289 - 64
CD² = 225
CD = √225
CD = √15²
CD = 15
Thus,
The length of the side CD which is the base of the right triangle CDE is D. 15 feet.
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use benchmarks
3\5 + 3\17
cuanto es 21:45 dividido a 7:15?
Answer:
Entraría 3 veces.
Step-by-step explanation:
Podemos probar esto encontrando el máximo común divisor entre 21 y 45
21: 1,3,7,21
45: 1,3,5,9.15,45
Encontramos que 3 es el máximo factor común. Entonces dividimos ambos números por 3. Para obtener 7:15.
You have 100 coins worth $6.95. All of the coins are nickels and dimes. How many nickels and how many dimes do you have? Write a system that represents the situation. Estimate the solution using a graphing calculator.
Answer:
61 Nickels and 39 Dimes
Step-by-step explanation:
you have $3 and 5 cents in nickels and 3$ and 90 cents in Dimes
it all equals 100 coins all together
The number of dimes is 39 dimes
The number of nickels 61 nickels
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 number of dimes be = x
Let the number of nickels be = y
So , total number of coins = 100
x + y = 100 be equation (1)
And , the total amount = $ 6.95
The cost of one dime = $ 0.10
The cost of one nickel = $ 0.05
So , total cost = 0.10x + 0.05y = 6.95 be equation (2)
Now , on simplifying equation (1) and equation (2) , we get
x + y = 100
10x + 5y = 695 be equation (3)
Divide equation (3) by 5 , we get
2x + y = 139 be equation (4)
Now , Subtracting equation (1) from equation (4) , we get
x = 39
Therefore , the number of dimes is 39 dimes
Substituting the value of x in equation (1) , we get
x + y = 100
y + 39 = 100
Subtract 39 on both sides of the equation , we get
y = 61
Therefore , the number of nickels is 61 nickels
Hence ,
The number of dimes is 39 dimes
The number of nickels 61 nickels
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ok, got some year 12 maths.
whats 7+3
Answer:
.............It should be 10 :)
A jade comb has a mass of 143grams and a volume of 44.0cubic centimeters. Calculate its density. Write your answer to the hundredths place. gramspercubic centimeter Questions
Be Precise in the number 24.543, why is the value of each
4 different?
Use function notation to write the equation of the line
please asap
Answer:
The correct answer is the first option.
Step-by-step explanation:
The correct function notation is f ( x ) = x because the slope is 1, and the y-intercept is 0. The y-intercept is the point on the graph where it crosses the y-axis.
Therefore, the correct answer is the first option. Brainly isn't allowing me to post the equation for some reason.
Rectangle ABCDA has a perimeter of 54 Inches and a length that is twice the width. Which equation
A.54-2W
B.54=3w
C.54=5w
D.54-6w
Answer:
54 = 6x
Step-by-step explanation:
Provide the missing statement and reasons for the following proof:
Answer:
I need more points
the picture is very blurry
Please help this is important!
Solve for a Variable (this is in a 8th grade algebra text book)
5y=5x-10;y
Please help and give evidence to the answer
Answer:
[tex]{ \tt{ \hookrightarrow \: 5y = 5x - 10}}[/tex]
• divide the whole equation by 5
[tex]{ \tt{ \frac{5y}{5} = \frac{5x}{5} - \frac{10}{5} }} \\ \\ { \boxed{ \rm{y = x - 2}}}[/tex]
Answer:
so here the value.
y =5 and. 10 = x
so the value of x is 10
and value of 5 is y
A school counts the number of students taking AMDM and find 225 students taking AMDM. They also count the number of students taking Physics and find 248 students taking the Physics. When they compare the two lists they find 98 student taking AMDM and Physics. What is the probability of a student taking AMDM given they are taking Physics. (Answer in decimal form rounded to the thousandth)
The probability of a student taking AMDM given they are taking Physics is 39.51%.
Since a school counts the number of students taking AMDM and find 225 students taking AMDM, and they also count the number of students taking Physics and find 248 students taking the Physics, and when they compare the two lists they find 98 student taking AMDM and Physics, to determine what is the probability of a student taking AMDM given they are taking Physics, the following cross multiplication calculation must be performed:
248 = 100 98 = X 98 x 100/248 = X 9800/248 = X 39.51 = X
Therefore, the probability of a student taking AMDM given they are taking Physics is 39.51%.
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Venetta buys 2 pounds of pistachios and 3 pounds of almonds. The pistachios cost $4 more per pound than the almonds. She pays a total of $48. Which of the following are true? Select all that apply.
A. One pound of pistachios plus 1 pound of almonds cost $20.
B. The pistachios cost twice as much per pound as the almonds.
C. Reducing the number of pounds of almonds by 1 results in a total cost of $40.
D. The cost a, in dollars, of 1 pound of almonds is modeled by 2(a – 4) + 3a = 48.
E. The cost p, in dollars, of 1 pound of pistachios is modeled by 2p + 3(p – 4) = 48.
The options that are true include:
A. One pound of pistachios plus 1 pound of almonds cost $20.
C. Reducing the number of pounds of almonds by 1 results in a total cost of $40.
E. The cost p, in dollars, of 1 pound of pistachios is modeled by 2p + 3(p – 4) = 48.
Cost of almond = a
Cost of pistachios = a + 4
Therefore, based on the information given, the equation to solve the question will be:
2(a + 4) + 3a = 48
Collect like terms
2a + 8 + 3a = 48
5a = 48 - 8
5a = 40
a = 40/5
a = 8
Almonds cost $8
Pistachios cost $12
In conclusion, the correct options are A, C, and E.
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three numbers that are greater then 200 but lest the 300 that are divisible by 6 and 10
Answer:
260
Step-by-step explanation:
BRAINLIEST PLS
12 + 4[5% - 4(x + 5)] = 7 - 5x
Answer:
https://brainly.com/question/24983242 help
Step-by-step explanation:
12 + 4[5% - 4(x + 5)] = 7 - 5x
12 + 4•(5% - 4•(x + 5)) = 7 - 5•x
11x = -55
x = -5
Answer:
[tex]x = - \frac{34}{5} [/tex]
Step-by-step explanation:
12 + 4 (5% - 4(x + 5)) = 7 - 5x
12 + 4 (5/100 - 4x - 20) = 7 - 5x
12 + 4 (-399/20 - 4x) = 7 - 5x
12 - 399/5 - 16x = 7 - 5x
-399/5 - 16x = 7 - 5x
-16x + 5x = 7 + 339/5
-11x = 374/5
x = -34/5
Can anyone please help me
9514 1404 393
Answer:
(a) f(3) < g(3)
Step-by-step explanation:
Put the number where the variable is and do the arithmetic.
f(3) = 4·3³ = 4·27 = 108
g(3) = 3·4³ = 3·64 = 192
108 < 192
f(3) < g(3)
translate to a mathematical equation:
Two times a number less than four is twenty-eight
In the function. Y+3=(2x)^2+1 what effect does the number 2 have on the graph as compared to the graph y=x^2
A.it stretches the graph vertically by a factor of 2
B. It stretches the graph horizontally by a factor of 2
C. It shrinks the graph vertically to 1/2 the original height
D. It shrinks the graph horizontally to 1/2 the original width
Answer:
C
Step-by-step explanation:
Show the steps to solve the system of equation. x-2y+3z=-4 , 3x+y-z=0 , 2x+3y-5z=1
Answer:
x= -1, y = 6, z = 3
Step-by-step explanation:
let me solve it with Gaussian Elimination
Which of the following is an arithmetic sequence?
A. -2, -4, -8, -32...
B. 0, 5, 11, 24...
C. 1, -3, 9, -27, 81...
D. 0, 6, 12, 18, 24...
Answer:
The answer is letter D 0,6,12,18,24
Step-by-step explanation:
hope it's can help
I really need this last question please anyone's help is very appreciated
Answer:
y = (5/2)x + 13/2
y = 3
y = -2x + 6
Step-by-step explanation:
The left part of the function which is a line sloping up to the right contains points (-3, -1) and (-1, 4) which can be read off the graph.
Since we have two points, we can find the equation.
You can use the slope formula given two points, but I will read it off the graph with rise and run.
Go from point (-3, -1) to point (-1, 4) by going up 5 (the rise) and going right 2 (the run).
slope = rise/run = 5/2
y = mx + b
y = (5/2)x + b
Use point (-1, 4) for x and y and solve for b.
4 = (5/2)(-1) + b
8/2 + 5/2 = b
b = 13/2
y = (5/2)x + 13/2
This is the first answer.
The middle part is a horizontal line in which every point has y-coordinate 3.
The equation is:
y = 3
This is the second answer.
The right part is the line that slopes down to the right. We can read two points easily. Use points (3, 0) and (2, 2).
Start at (3, 0). Go left 1 (run of -1) and up 2 (rise of 2). Now you are at point (2, 2).
slope = rise/run = 2/(-1) = -2
Now we find the y-intercept on the graph. After you get to (2, 2), keep moving with the same run and rise of the slope. Go left 1 and up 2 to point (1, 4). Go again left 1 and up 2 to (0, 6). Point (0, 6) is on the y-axis, so it is the y-intercept.
b = 6
y = mx + b
y = -2x + 6
This is the third answer.
What is the equation, in point-slope form, for a line that goes through(8, −4) and has a slope of −5/6?
Answer:
[tex]y = \frac{-5}{6} x + 2\frac{2}{3}[/tex]
Step-by-step explanation:
Use the Point-Slope formula...
(y - (-4)) = -5/6(x - 8)
Simplify
y + 4 = -5/6x + [tex]6\frac{2}{3}[/tex]
y = -5/6 + 2 2/3
WATTPAD SUGGESTIONS? :)
Answer:
Step-by-step explanation: about a boy who fell for a girl that was twice his age and yeah something about that :)
Solve 2^2 + x - 4 = 0.
Answer:
x=0
Step-by-step explanation:
2^2 + x - 4 = 0
2^2 = 4
4+x-4 = 0
Combine like terms
x=0
Write the following comparison as a ratio reduced to lowest terms.
21 nickels to 43 dimes
Answer:
As coins, they are already in their simplest ratio, since 25 and 38 don't have any common factor to divide by. (1 doesn't really count...)
As money, you need to multiply the 25 nickels x 5 cents per nickel, which gives you 125 cents,
and 38 dimes x 10 cents per dime, which gives you 380 cents.
So your new ratio is 125:380, which you can simplify by dividing each by 5, which gives you
25:76
SO, as money the ratio in simplest terms is 25:76. As numbers of coins, it's 25:38
If you think about it, it makes sense because:
10 cents is twice as much as 5 cents, and
76 cents is twice as much as 38 cents.
Hope this helps!
Matt in New York
Ten cents cost twice as much as five cents, and 38 cents are equivalent to twice as much as 76 cents.
Explain about the Ratio?
An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value
Since there is no
to divide 25 by and 38 by, they are already in their most basic ratio as coins. (1 is hardly significant...)
To convert the 25 nickels to money, multiply them by the nickel's value, which comes to 125 cents.
and 38 dimes multiplied by 10 cents each, giving you 380 cents.
By dividing each by 5, you can simplify your new ratio of 125:380 and get
25:76
Therefore, the ratio is 25:76 expressed simply as money. It is 25:38 in monetary terms.
It makes sense if you think about it since
Ten cents are twice as expensive as five cents, and
38 cents is double what 76 cents
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what multiplies to get 27 but adds to get -1
Answer:
9×3
and
-26
Step-by-step explanation:
9×3=27
27+-26
What does the slope of the function represent?
Answer:
Hello there!
Your answer is,
The slope of the function represents a steady growth in the amount of money in the cash register after each sale.
Step-by-step explanation:
After they sell a cup of lemonade the graph goes up to represent the money they got and put into the register after the sale.
Find the sine ratio of angle O. Hint: Use the slash symbol (/) to represent the fraction bar, and enter the fraction with no spaces. (4 points)
Hello,
Correct Answer is 12/3
Step-by-step explanation:-For angle theta, perpendicular side is AB=12 and hypotenuse side is BC=13.
The sine of angle is equal to the ratio of perpendicular side to the hypotenuse side. So, sine of angle theta is:-
[tex]sin \: θ = \frac{12}{3} [/tex]
So, sine ratio angle is 12/3.
{ Note: Here, the ratio is written using slash (/) symbol as it is asked to use the slash symbol in the answer. }
✍️ By Benjemin ☺️
x2−5x+8 if x=3 help me
help 50 points for the awnser
[tex]8 \geqslant h[/tex]
Swap the sides of the inequality and flip the inequality sign[tex]h \leqslant 8[/tex]
Alternate form:h∈《-∞,8]Hence, Option A, B, D is correct..Given inequality ,
[tex]\sf\longrightarrow 8 \geq h[/tex]
This implies h is less than or equal to 8 . Hence it cam sustain all the values 8 , 7 , 6 , 5 , .....
On looking at options given ,
[tex]\sf\longrightarrow h = 8 \\ [/tex]
[tex]\sf\longrightarrow h = 5 \\ [/tex]
[tex]\sf\longrightarrow h = 6 [/tex]
The equation for the circle below is 2 + y2 = 64. What is the length of the
circle's radius?
O A. 2
8 d
Ο Ο
B. 64
C. 8
O Ο Ο
D. 9
E-1
OF 25
