A streetlight that is 10 feet tall casts a 2.5-foot-long shadow. A nearby flagpole casts a 9-foot-long shadow. What is the height of the flagpole?

Answers

Answer 1

Answer:

The height of the flagpole is 36 feet

Step-by-step explanation:

The given parameters are;

The height of the street light = 10 feet

The shadow cast by the streetlight = 2.5 feet

The shadow cast by the flagpole = 9 foot

The height of the flagpole is given as follows;

The height of the street light/(The shadow cast by the streetlight) = (The height of the flagpole)/(The shadow cast by the flagpole)

∴ The height of the flagpole = (The shadow cast by the flagpole) × (The height of the street light)/(The shadow cast by the streetlight)

By substituting the values, we get;

The height of the flagpole = 9 ft. × 10 ft./2.5 ft. = 36 feet

The height of the flagpole = 36 feet.


Related Questions

help me its an algebra 2 question 2. John can mow his lawn in 3 hours and his sister, Julie, can mow it in 2 hours. How long will it take them to mow their lawn if they work together?
A. 1 hour 12 minutes
B. 1 hour 15 minutes
C. 1 hour 20 minutes
D. 1 hour 30 minutes
E. 1 hour 35 minutes

Answers

Answer:

A

Step-by-step explanation:

John can mow the same lawn in 3 hours.

In 1 hour he can mow 1/3rd of the lawn.

In 1 hour they can together mow (1/2+1/3)=5/6th of the lawn.

Together they can mow the lawn in 6/5 hours=1.2 hours.

I hope this helped, please mark Brainliest, thank you!!

Time taken to mow the lawn together is 6/5 hours i.e., 1.2 hours.

The correct option is (C).

What is a algebra ?

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.

Given:

John can mow his lawn in 3 hours.

Julie can mow same lawn in 2 hours.

In 1 hour = 1/3rd of the lawn.

In 1 hour, together they can mow

= (1/2+1/3)

=5/6th of the lawn.

Hence, time taken to mow the lawn together is 6/5 hours i.e., 1.2 hours.

Learn more about Algebra here:

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BRAINLIEST TO FIRST RIGHT NO WORK
there are 59 balls of 4 different colors in a box. If 51 balls are taken then at least one ball of each color appears among the taken balls What is the minimum number of balls that must be taken so that three different colors appear among the taken balls

Answers

Answer:

Im pretty sure its 77

Step-by-step explanation:

Answer: its 32

Step-by-step explanation:

100 points
whats 9 times 3 plus 3 divided by 2

Answers

Answer:

hi

Step-by-step explanation:

28.5

Answer:

15

Step-by-step explanation:

Which shows the following numbers ordered from greatest to least?
0.5, 5/8, 65%, 3/5

A. 3/5, 5/8, 0.5, 65%
B. 0.5, 3/5, 5/8, 65%
C. 65%, 3/5, 0.5, 5/8
D. 65%, 5/8, 3/5, 0.5

I assume it's D, but I'm not fully sure.​

Answers

Answer:

D You got it right. 65% 5/8 3/5 0.5

Can somebody help? Tysm

Answers

X is equal to 8. The work for that is on the attached picture.

The sunshine ski shop makes a profit of $40 on each pair of skis sold. Shop expenses for one week are 2,480. What is the minimum number of pairs of skis that must be sold in one week to make profit of at least $2,000

Answers

Answer:

Number of units to sell= 112 units

Step-by-step explanation:

Giving the following information:

Unitary contribution margin= $40

Fixed costs= $2,480

Desired profit= $2,000

To calculate the number of units to be sold, we need to use the following formula:

Break-even point in units= (fixed costs + desired profit) / contribution margin per unit

Break-even point in units= (2,480 + 2,000) / 40

Break-even point in units= 112 units

Answer:

32000

Step-by-step explanation:

___________ is a share of ownership in a business or company.​

Answers

Shareholder :) sksjdndjdjdjdkd

Answer:

Shares

Step-by-step explanation:

PLS GIVE BRAINLIEST

first correct answer will get brainliest
Write the equation in point-slope form for the line that passes through the given point and has the given slope. (1, 2), slope 3

Answers

Answer:

y-y1 = m(x-x1)

y - 2 = 3(x-1)

y=3x-3+2

y=3x-1

Step-by-step explanation:

first you type down point slope formula

then you plug in the information you have point (1,2) 1 is x1 and 2 is y1 m is 3 because m = slope

then you have to distribute the 3 to the x and the -1 and then isolate y

(how to isolate the y) you must do the opposite of -2 which is +2 whatever you do on one side you have to do to the other

then you combine like terms 3x is alone and -3 +2 equals -1

there is your answer hope that works.

show work / explain it​

Answers

Answer:inequality form  x  ≤  -1

for 3x + 9  ≤ 6

Step-by-step explanation:isolate the variable by dividing eash side by factors that dont contain the variable

Answer:

Answer Varies

Step-by-step explanation:

For the 1st equation, there are a lot of numbers that could fit x, such as any negative number, such as -1,-2,-3, etc. For the 2nd equation, 9 and below would work. Please correct me if I am wrong because everybody makes mistakes.

how many solutions does 6x - 18 = 4(2x - 3) - (2x +6)

Answers

Answer:

x=0

Step-by-step explanation:

6x-18=4(2x-3)-(2x+6)

We move all terms to the left:

6x-18-(4(2x-3)-(2x+6))=0

We calculate terms in parentheses: -(4(2x-3)-(2x+6)), so:

4(2x-3)-(2x+6)

We multiply parentheses

8x-(2x+6)-12

We get rid of parentheses

8x-2x-6-12

We add all the numbers together, and all the variables

6x-18

Back to the equation:

-(6x-18)

We get rid of parentheses

6x-6x+18-18=0

We add all the numbers together, and all the variables

=0

x=0/1

x=0

   

   

0.5 e + 20= 25


solving equations

Answers

Answer:

e = 10

Step-by-step explanation:

Simplifying

0.5e + 20 = 25

Reorder the terms:

20 + 0.5e = 25

Solving

20 + 0.5e = 25

Solving for variable 'e'.

Move all terms containing e to the left, all other terms to the right.

Add '-20' to each side of the equation.

20 + -20 + 0.5e = 25 + -20

Combine like terms: 20 + -20 = 0

0 + 0.5e = 25 + -20

0.5e = 25 + -20

Combine like terms: 25 + -20 = 5

0.5e = 5

Divide each side by '0.5'.

e = 10

Simplifying

e = 10

Answer:

e = 1

Step-by-step explanation:

0.5e + 20 = 25

0.5e = 5

e = 1

You subtract 20 from 25 to get 5. Then you divide 5 by 5 to get e = 1

pls give brainliest!!

CAN YOU HELP ME thank you 10pts

Answers

9514 1404 393

Answer:

  m∠CAB = 62°

  m∠CBG = 114°

Step-by-step explanation:

Given:

  the above figure

Find:

  What are the measures of angles CAB and CBG

Solution:

The total angle at C is 32°+52° = 84°. We know that "remote interior" angles ECB and EBE have a sum that matches angle CEF.

So, angle CBE = 150° -84° = 66°

Angle CBG is the supplement of this, so is ...

  m∠CBG = 180° -66° = 114°

That angle is the total of "remote interior" angles BCA and CAB. So angle CAB is ...

  m∠CAB = 114° -52° = 62°

Motocross The path that a motocross dirt bike rider follows during a jump is given
by y = -0.4x² + 4x + 10 where x is the horizontal distance (in feet) from the edge
of the ramp and y is the height (in feet). What is the maximum height of the rider
during the jump?
20
18
16
14
12
Height (feet)
10
6
4
2
0 2 4 6 8 10 12
Horizantal distance feet)
My

Answers

Answer:4.4x+10

Step-by-step explanation:

Can I try answering questions that are on your profiles
Please I need to earn points and brainliest

Answers

YES PLS HELP WITH MY MOST RECENT

Answer:

Ok

Step-by-step explanation:

Go for it

What is the APR on a loan with a monthly periodic rate of 1.75%

Answers

try using socratic that will help too

Help me solve this, plz!! WILL MARK BRAINLIEST!! Show how to solve, plz and thank you!!

Answers

Answer:

6<x<9

Step-by-step explanation:

from the graph above the non linear paths are the curves on the Cartesian plain

on the y-axis, you'll get to see the curve there for the the values for x and y intervals are at their maximum, which in range is 6<x<9

Find the inverse of the linear function.

anyone pls?

Answers

Answer:

A

Step-by-step explanation:

inverse means flipping the signs and the numbers of the function

Answer: x - 10/5 = y

Emir and his family ordered a meal that cost $50. Emir paid 8% sales tax and left an 18% tip on $50. What was the total cost?

Answers

Answer:

$63.00

Step-by-step explanation:

Your first step is to change the percents into fractions, you do this by moving the decimal point two times to the left.

Your equations look like this:

Tip equation: .18 * 50 = $9.00

Tax equation: .08 * 50 = $4.00

Then you just add them all up to get the total, and you get,

9+4+50 = 63

How does anyone know how to prove parallel lines, especially when there are two pairs of them?

Answers

Answer:

Step-by-step explanation:

If two lines are cut by a transversal so that any pair of alternate interior angles are congruent, then the lines are parallel. If two lines are cut by a transversal so that any pair of corresponding angles are congruent, then the lines are parallel. You can use these converses to decide whether two lines are parallel.

What is the value of x in the figure?
A. 10
B. 6
C. 15
D. 12

Answers

Answer:

Step-by-step explanation:

You need to set up a proportion.

(21 - 15) / 21  = 4/(x + 4)

6 / 21 = 4/(x + 4)

2/7 = 4/(x + 4)

2(x + 4) = 7*4

2x + 8 = 28

2x + 8-8= 28 - 8

2x = 20

x = 20/2

x = 10

shenika is inviting 7 friends to a party. if each friend will get 5 cookies and each box has 12 cookies. how many boxes does shenika need to get

Answers

Answer:

Shenika invites 7 friends and each one gets 5 cookies.

= 7*5

= 35

Based on above answer, Shenika will need a total of 35 cookies for all.

-----------------------------------------------------------------------------------------------------------

Each box has 12 cookies.

Total cookies = 35

Let the number of boxes be x.

12*x = 35

x = 35/12

x = 2.9

This means she would need 3 boxes.

5p - 13 < 32
Please and thank you

Answers

Answer:

p < 9

Step-by-step explanation:

5p-13<32

Subtract 13 from both sides.

5p<45

divide 5 from both sides

p < 9

in a school, the number of boys is 9 more than thrice a number of girls. if the total role of class is 60. what is the total role of girls ​.​

Answers

B = 3g + 9
G + b =60
G + 3g + g
5g = 60
G = 12

Solve

Which equation in point-slope form, is represented by this graph?




y

3
=
1
2
(
x

4
)
y−3=
2
1

(x−4)

y
=
2
x
+
4
y=2x+4

y

3
=
3
(
x

4
)
y−3=3(x−4)

y

3
=
1
2
(
x

7
)
y−3=
2
1

(x−7)

Answers

Answer:

y - 3 = (1/2)(x - 4)

Step-by-step explanation:

The graph is hard to read, but we can make assumptions about the x- and y-values shown.  The y-intercept appears to be (0, 1) and the blue dot appears to be (4, 3).  Let's try finding the equation of the line using this assumed data:

The point-slope equation is y - k = m(x - h), where (h, k) is a point on the line and m is the slope of the line.

We need the slope of the line.  Recall that m = rise/run.  Going from (0, 1) to (4, 3), x (the 'run') increases by 4 and y (the 'rise') increases by 2.  Thus, the slope is m = rise/run = 2/4, or 1/2.

Substituting the known values into the point-slope equation y - k = m(x - h), we get:

y - 3 = (1/2)(x - 4)

State the independent variable and the dependent variable in the linear relationship. Then find the rate of change for the situation. The cost of dinner is $42 for three people and $98 for seven people

Answers

Answer:

144

Step-by-step explanation:

The independent variable in the linear relationship is the number of people.

The dependent variable in the linear relationship is the cost of the dinner.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Cost of dinner for 3 people = $42

Cost of dinner for 7 people = $98

The cost of dinner for one person = $14

Now,

The linear function for this relationship.

f(x) = 14x

Where x is the number of people and f(x) is the cost of the dinner.

Now,

The number of people is the independent variable.

The cost of dinner is the dependent variable.

Thus,

Independent variable = Number of people/

Dependent variable = Cost of the dinner.

Learn more about expressions here:

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Square root -80 by using imaginary unit I

Answers

you already got the answer but if you ever need the answer instantly for any math question use mathaway its a really good app and will gove you the answer and step by step explanation

The Eiffel Tower in Paris France has 674 steps that go from the ground to second floor there are 328 steps from ground to first floor how many steps are there from the floor to the second floor

Answers

Answer:

346

Step-by-step explanation:

i think

A group of people planned to go to the amusement
park. Adult tickets are $45.00 and child tickets are $20.
There are two adults in the group. If the budget for the
trip is $600, what is the greatest number of children
that can attend.

Answers

Answer:the greatest amount of children that can go is 30

Step-by-step explanation:

$20 x 30= $600

I need help on this question

Answers

Answer:

5 square feet

Step-by-step explanation:

First, you need to convert the inches into feet

24: 2

30: 2.5

2*2.5= 5

So it is 5square feet

According to the U.S. Bureau of the Census in its Current Population Reports (Series P60) the average
poverty threshold was $8241 for a three-person household in 1993. For a group of 81 three-person households
the standard deviation was $972. Find a 99% confidence interval for the average poverty threshold for a three-
person household.

Answers

Answer:

lkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk

Step-by-step explanation:

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