Bennett is setting up a light display for a wedding with two 10-foot strands of lights. The lights will be attached to the top of a pole and to two stakes on the ground forming two right triangles. If the distance from the base of the pole to each stake is the same as the height of the pole, how tall, in feet, should the pole be? Round your answer to the nearest tenth.

Answers

Answer 1

The height of the pole is 7.1 feet.

Given that a light display for a wedding with two 10-foot strands of lights and top of a pole and to two stakes on the ground forming two right triangles.

The Pythagorean theorem, also known as the Pythagoras theorem, explains the relationship between the three sides of a right triangle.

The two sides of triangle are equal that is x and and the third side is 10.

Now, we will apply the pythagoras theorem, we get

B²+P²=H²

Here B=P+x and H=10

x²+x²=(10)²

2x²=100

Now, we will divide both sides with 2, we get

2x²/2=100/2

x²=50

Now, we will take square root on both sides, we get

√x²=√50

x=√50

x=7.07106781

The Round to the nearest tenth is x=7.1 feet.

Hence, the height of the pole when wedding with two 10-foot strands of lights and the lights will be attached to the top of a pole and to two stakes on the ground forming two right triangles is 7.1 feet.

Learn more about the Pythagoras theorem from here brainly.com/question/4040441

#SPJ9

Bennett Is Setting Up A Light Display For A Wedding With Two 10-foot Strands Of Lights. The Lights Will

Related Questions

HELP ME OUT PLEASE!!!

What does the slope represent?

Answers

Answer:

there is a change of 2* per hour

Step-by-step explanation:

Answer:

The slope is 2

Step-by-step explanation:

Slope is rise/run

4/2=2

Refer to the number line. Find the coordinate of point X such that the ratio of MX to XJ is 3:1.

Answers

The coordinate of point X such that the ratio of MX to XJ is 3:1 is 12

How to determine the coordinate of point X?

The coordinates are given as:

M = 2

J = 18

The ratio is given as:

Ratio = 3 : 1

The location of the point X is then calculated as:

X = Ratio * (J - M)

This gives

X = 3/(3 + 1) * (18 - 2)

Evaluate

X = 3/4* 16

This gives

X = 12

Hence, the coordinate of point X such that the ratio of MX to XJ is 3:1 is 12

Read more about line segment ratio at:

brainly.com/question/12959377

#SPJ1

Step-by-step explanation:

show how to work out the question

when simplifying rational expressions, the first step is to ______ the numerator and denominator

Answers

Answer:

DETERMINE COMMON FACTORS

Step-by-step explanation:

determine common factors

what is the value of 10 to the power of -16 written as a fraction

Answers

Answer: 1e-16

Step-by-step explanation:

Steps

(x)n = (10)-16

10 x 10 x .... x 10

10000000000000000

= 1e-16

3x + 6y = 9 solve for x

Answers

Answer:

x= -2y+3

Step-by-step explanation:

First move the variable to the right: 3x= 9-6y

Next divide both sides of the equation by 3: x=3-2y

Lastly reorder the numbers, the variable should be placed first: x= -2y+3

-10x—16=14
-16x -6 = 14

Answers

Answer: No solution

Step-by-step explanation:

-10x-16=14

-16x-6=14

-10x-16=-16x-6

-10x+16x-16=-16x+16x-6

6x-16=-6

6x-16+16=-6+16

6x=10

x=10/6

x=5/3

-16(5/3)-6=

-80/3-6*3/3=

-80/3-18/3=

(-80-18)/3=-98/3 [tex]\neq[/tex] 14

Hence, there is no solution

▶ Use the part of the nutrition label on the right. If protein contains approximately 4 calories per gram, find the percent of calories from protein from one serving of this food. (Round to the nearest tenth of a percent.) ww. The percent of calories from protein from one serving of this food is %. Nutritional information per serving Calories 277 Protein Carbohydrate Fat 11g 45g 6g

Answers

The percent of calories from protein from one serving of the food is found as 15.88%.

What is defined as the term percentage?

A relative value representing the hundredth part of any quantity One percent (denoted 1%) is one hundredth part; thereby the, 100 percent describes the entire amount and 200 % identifies twice the given amount.

For the given information;

The total calories is 277.

Nutrients information in food.

Protein - 11g

Carbohydrate - 45g

Fat - 6g

The protein contains 4 calories per gram.

Thus, 11 grams of protein contains 4×11 = 44 calories per grams.

Find the % content of protein out of 277 calories;

p% of 277 = 44

p% = (44×100)/277

p% = 15.88%.

Therefore, the percentage of protein contained in the serving food is 15.88%.

To know more about the percentage, here

https://brainly.com/question/24877689

#SPJ9

NO LINKS, WILL GIVE BRAINLIEST, please help me find the slope!!

Answers

Answer:

Step-by-step explanation:

Adult tickets to the museum cost $4, while student tickets
cost $3. If 105 tickets were sold for a total of $380, how
many of each were sold?

Answers

65 adult tickets were sold whereas 40 student tickets were sold as well

What approach is appropriate to solve the word problem?

The most suitable approach to determine the number of each type of tickets sold is by simultaneous equation such the word problems are modelled into equations which are solved together to ascertain the number of adult and student tickets sold altogether

let x be adult tickets sold

let y be student tickets sold

x+y=105........ equation 1

4x+3y=380........ equation 2

from equation 1, x=105-y

substitute for x in equation 2

4(105-y)+3y=380

420-4y+3y=380

420-y=380

420-380=y

40=y

y=40

x=105-40

x=65

Find out more about simultaneous equation on:https://brainly.com/question/15460038

#SPJ1

Let f(x)=12x+7. Use algebra to find the inverse function f^-1(x).

Answers

Step-by-step explanation:

Replace x with y and y with x.

Then, try to isolate the y.

x=12y+7

x-7=12y

(x-7)/12=y

f^-1(x)=(x-7)/12

a survey of 800 households revealed that 400 had only a TV, 100 had only a computer, and 100 had neither a tv nor a computer. how many households have both a tv and a computer?

Answers

The number of households which have both TV and computers are 200.

What is defined as the Boolean algebra (logical expressions)?Boolean algebra is a branch of algebra in math and mathematical logic where the value of the variables are indeed the truth values both true and false, typically represented 1 and 0, respectively.Synonyms, such as 'Yes' for 'True' as well as 'No' for 'False,' are sometimes used to represent the statement.

Let A be the number of house hold having only TV = 400

Let B be the number of house hold having only computers = 100

Let C be the number of house hold having neither TV nor computer = 100

Let D be the number of house hold having both TV and computer.

Then, the number number of house holds are 800.

A + B + C + D = 800

Put the values;

400 + 100 + 100 + D = 800

D = 800 - 600

D = 200

Therefore, the number of households having both TV and computer are 200.

To know more about the Boolean algebra, here

https://brainly.com/question/2467366

#SPJ9

Use the factor theorem to write a polynomial equation that has solutions of 2, -2, and 4. (Hint: Suppose the solutions of a quadratic equation are 3 and 5. This means that x = 3 or x = 5 which gives us x - 3 = 0 or x - 5 = 0. The expressions are the factors of the polynomial which means that the equation is (x - 3)(x - 5) = 0.)

Answers

The equation of the polynomial with the given roots of 2, -2, and 4 is x³ - 4x² - 4x + 16 = 0.

What is the polynomial equation that has solutions of 2, -2, and 4?

Roots are the points where the graph intercepts with the x-axis ( y = 0 ).

Given the roots in the question;

x = 2, -2, 3

Now, the root of x = 2 was found solving for x when x - (2) = y but y = 0.

Hence, (x - 2) is a factor.

Next, the root of x = -2 was found solving for x when x - (-2) = y but y = 0.

Hence, (x + 2) is a factor

And the root of x = 4 was found solving for x when x - (4) = y but y = 0.

Hence, (x + 2) is a factor

Now, combine all the factors into a single equation and simplify.

( x-2 )( x + 2 )( x - 4 ) = y

( x² + 2x - 2x - 4 )( x - 4) = 0

( x² - 4 )( x - 4) = 0

x( x² - 4 ) -4( x² - 4 ) = 0

x³ - 4x - 4x² + 16 = 0

x³ - 4x² - 4x + 16 = 0

x³ - 4x² - 4x + 16 = 0

Therefore, the equation of the polynomial with the given roots of 2, -2, and 4 is x³ - 4x² - 4x + 16 = 0.

Learn more about factor theorem here: https://brainly.com/question/24545336

#SPJ1

Can you help me solve for X. 4x+9=11

Answers

the answer is x= 1/2

Answer as a fraction: x = 1/2

Answer in decimal form: x = 0.5

Work Shown:

4x+9 = 11

4x = 11-9

4x = 2

x = 2/4

x = 1/2

x = 0.5

Explanation: I subtracted 9 from both sides (step 2). Then I divided both sides by 4 to fully isolate x (step 4)

Identify the set of X-values for which f(X) is greater than or equal to 0.

Answers

The given function is greater than or equal to 0 for the interval given as follows:

{x | x ≤ -3 or -1 ≤ x ≤ 0 or x ≥ 2}.

When a function is positive and when it is negative?

A function is positive when it is above the x-axis.A function is negative when it is below the x-axis.

For this problem, with a closed interval, we have that the function is above for:

x ≤ -3, -1 ≤ x ≤ 0, x ≥ 2.

Hence the interval notation is:

{x | x ≤ -3 or -1 ≤ x ≤ 0 or x ≥ 2}.

More can be learned about functions at https://brainly.com/question/24808124

#SPJ1

How do i find the slope and y intercept fir 3x + 2y = 4

Answers

you have to get x and y by themselves on their own sides of the equation. What you do too one side you do to the other.

3x+2y=4

-3x -3x

2y=-3x+4

/2 /2

y= -3/2x+2

the Slope is the value by the x and the y is the one without a variable. sometimes equation do not have a y intercept which means they pass through the origin.

in this equation the slope is -3/2 and the y intercept is (0,2).

Use the given graph of f to find a number such that if 0 < |x − 3| < then |f(x) − 2| < 0.5.

Answers

Answer:

x=3, = -2

Step-by-step explanation:

Answer for i^372
And i^527 with explanation please

Answers

Answer

[tex]i {}^{372} = 1 \\ i {}^{527 } = - i[/tex]

Step-by-step explanation:

Greetings !

Note that:-

[tex]i {}^{2n} = 1.\: if \: n \: is \: even \\ \: \: \: \: \: \: \: = - 1. \: if \: n \: is \: odd[/tex]

And also

[tex]i {}^{2n + 1} = i. \: if \: n \: is \: even \\ \: \: \: \: \: \: \: \: \: \: = - i.\: if \: n \: is \: dd[/tex]

Thus, remembering these general formula plug in values in the place of n and solve.

Therefore,

[tex]i {}^{2(186)} = i {}^{372} = 1[/tex]

where n is even thus its 1 from the above explanation

[tex]i {}^{2(263) + 1} = i {}^{527} = - i[/tex]

following the same procedure the values exceeds to be -i.

Hope it helps !!!

-2 ( 3x + 2 ) ≥ 6x – 4

Answers

Answer: x ≤ 0. Interval Notation: (-∞, 0]

Given the function h(x)=-x^2-5x+11h(x)=−x
2
−5x+11, determine the average rate of change of the function over the interval -8\le x \le 4−8≤x≤4.

Answers

The average rate of change of the function over the interval is -9.25

How to determine the average rate of change of the function over the interval?

The given parameters are

h(x) = x^2 - 5x + 11

−8 ≤ x ≤ 4

Calculate h(4) and h(-8)

So, we have

h(4) = (4)^2 - 5(4) + 11 = 7

h(-8) = (-8)^2 - 5(-8) + 11 = 115

The average rate of change of the function over the interval is then calculated as

Rate = [h(4) - h(-8)]/[4 - -8]

This gives

Rate = [7 - 118/[12]

Evaluate

Rate = -9.25

Hence, the average rate of change of the function over the interval is -9.25

Read more about average rate of change at

https://brainly.com/question/8728504

#SPJ1

Leo's bakery made three dozen batches of
cookies. Each batch of cookies made 26 cookies
How many cookies did the bakery make?

Answers

Answer:

first we find out how much is three dozens?

3 x 12 =36

now we multiply 26 and 36 to find out the number of cookies

26 x 36 = 936

936 cookies is your answer

pleaseeee helppppp will give extra points

Answers

answer : 4th option (-2,infinity)
——————————[-4,8)

hope this helps

Thunder from a bolt of lightning travels 1/10 mile in 1/2 second. At this rate, how many miles can it travel in one second?

Answers

Answer:

1/5 mile

Step-by-step explanation:

1/10 mile in 1/2 second

This can be written as a ratio:

1/10 mile : 1/2 second

We need the ratio in terms of 1 second, so multiply both numbers in the ratio be 2.

2 × 1/10 mile : 2 × 1/2 second =

= 2/10 mile : 1 second

= 1/5 mile : 1 second

Answer: 1/5 mile

angle EFG and angle GFH are a linear pair, angle EFG=2n + 25 and angle GFH=4n + 17 what are angles EFG and GFH?

Answers

The angles EFG and GFH are 71 and 109 degrees

How to determine the angles EFG and GFH?

The given parameters are:

EFG =2n + 25

GFH = 4n + 17

Linear pair angles are supplementary angles

So,we have

2n + 25 +4n + 17 = 180

Evaluate the like terms

6n= 138

Divide by 6

n = 23

Substitute n = 23 in EFG =2n + 25 and GFH = 4n + 17

EFG = 2 * 23 + 25 =71

GFH = 4 * 23 + 17 = 109

Hence, the angles EFG and GFH are 71 and 109 degrees

Answers

Answer: 15

Step-by-step explanation:

order all the numbers from least to greatest and then find the one in the middle

S= 1/2( a + b + c) solve for b

Answers

The solution of the equation for b is b = 2s - a - c

How to solve for b in the equation?

The equation is given as

s= 1/2(a + b + c)

Multiply through by 2

So, we have

2s = a + b + c

Subtract a and c from both sides of the equation

b = 2s - a - c

Hence, the solution of the equation for b is b = 2s - a - c

Answers

The sales tax on this computer in 62 dollars and 93 cents

What is the sales tax on this computer in dollars and cents?

The given parameters

Price = $899

Tax rate = 7%

The sales tax on this computer in dollars and cents is calculated as

Sales tax = Price * Tax rate

This gives

Sales tax = $899 * 7%

Evaluate

Sales tax = $62.93

Hence, the sales tax on this computer in 62 dollars and 93 cents

Answers

Answer:

10x + x^4/x-2

Step-by-step explanation:

Combine like terms

(10x + x^4)/(x-2)

could someone please help answer this.

Answers

Answer:

+ 12 yards

Step-by-step explanation:

8-3 = 5
5 + 12 - 5 = 12

3y+z=am-4y look for y

Answers

The value of y is am-z/7

How to calculate the value of y ?

The expression is given as follows

3y +z= am-4y

The first step is to collect the like terms in both sides, this way the numbers that both have y as their coefficient will be on the same side

3y + 4y= am-z

y(3+4)= am -z

7y= am-z

Divide both sides by the coefficient of y which is 7

7y/7= am-z/7

y= am-z/7

Hence the value of y in the expression is am-z/7

Answers

Answer:

Step-by-step explanation:

25. 5 < x < 7

Other Questions

The density of a 167.4 g sample of magnesium having a volume of 96.32 ml is ________ g/cm3. Which choice shows 17+14+ 13 rewritten correctly using the commutativeproperty and then simplified correctly? Find an equation of the tangent line to the curve at the given point.y = x - 3x + 1, (3, 19) Mary WollstonecraftTheir background and childhood (Where were they born? Where did they grow up? What was their education?)Their views on government, rights, and the people. Be sure to include any major historical events they were a part of and what role they played. Why are they an important part of history? What is their significance? Hello! I am confused on a question my professor made if anyone could help me, Is the constitution obsolete with checks and balance? I dont understand it can anyone explain so I can give my answer thanks! A parent who feeds her child with a spoon after the child can probably feed himself may value:_________ A client is being discharged following an allergic reaction after ingesting aspirin. when providing client education about the allergy, the nurse would provide the client with what information? Which trend of the late 1800s correctly replaces the question mark in this cause-and-effect diagram? Exercise 2 Write the plural of each word. city Product placements in videos, movies, and games are other ways that advertisers strive to reach receivers with filter messages. True or false State two ways in which trade unions could assist workers in addressing non compliance with working conditions Read the following poem. Then, respond to the prompt that follows. The Feeling Is Not Mutual By anonymous I've had them come into my life and leave as fast as they came. Sometimes they seem to fly right in, and they often leave me with pain. They show up unannounced- they often take me by surprise. They suck the life out of me, before I've had time to realize. I meet them in a lot of places- Usually outside when I'm unaware. Their attraction to me is so strong as if they smell love in the air. They annoy me so much that I break out in hives. The thought of them makes me withdraw. The feeling is not mutual-it's unrequited, I don't return their affection at all. In a well-written paragraph of 5-7 sentences, analyze the ambiguous nature of "The Feeling Is Not Mutual." Your response should include: an explanation of your interpretation of the poem's meaning, evidence from the poem (PReP) that supports your interpretation, an explanation of how another reader could interpret the poem differently, and evidence from the poem to support an alternative interpretation. find the sum or standard form of 10+9+7+5+3+1 When lives are in danger, supply chain inefficiencies may result in suffering and/or casualties. helping people in need around the world is part of which emerging field? Exercise 1 Identify the phrase in italics as I for infinitive, G for gerund, or P for participial.Jims goal, getting elected, was achieved through hard work. When performing what kind of cut, do you roll the leaves up like a cigar and then slice along the top with the thickness being up to you?the answer is chiffonade An ion of aluminum has a charge of 3 . the ion contains 10 electrons. how many protons does a neutral atom of aluminum possess? a. 3 b. 10 c. 13 d. 16 Based only on the information given in the diagram, which congruencetheorems or postulates could be given as reasons why ACDE=AOPQ?Check all that apply.AAEA. LLB. AASC. SASD. LAE. HLF. ASA Choose the true statement about african american culture and politics in the 1920s. Solve For x[tex] \tt \red{4x + 2 = -8}[/tex]Thank uh ~