Question is in image below
A lamppost is 6 feet high and casts and 8 foot shadow. At the same time of day, a flagpole near the lamppost cast a 20 foot shadow. Using the properties of similar triangles, find the height, H, of the flagpole

Answers

Answer 1

Answer:

15 ft.

Step-by-step explanation:

I will assume that either both objects are standing straight. We can use similar triangles.

We can see that the side 8 is similar to the side 20, since they are both shadows. Therefore, we can set up an equation:

[tex]\frac{6}{8} =\frac{x}{20}[/tex]

we can cross multiply and get:

8x=120

solve for x:

x=15

Therefore, the lamppost must be 15 feet tall (unless it fell down but we won't talk about that)


Related Questions

Use the Distributive Property to complete the equivalent expression. Enter your answers in the boxes.

4(y – 3) = __ - ___

SOMEONE HELP EXTREMELY QUICK PLSSS

Answers

4y, 12 your welcome

The width of a rectangle is 6x−6.5 feet and the length is 6.5x+7 feet. Find the perimeter of the rectangle.

Answers

Answer: 25x+1

Step-by-step explanation:

We cam make an equation to find the perimeter, [tex]2(6x-6.5)+2(6.5x+7)[/tex].

then we can simplify it to [tex]12x-13+13x+14[/tex], which we can then further simplify to 25x+1

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Answers

Answer: mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm

Step-by-step explanation:

Please Like!

find n. (n!)²- 4n! - 12 = 0​

Answers

Answer:

n=6 , n=-2

Step-by-step explanation:

[tex]n^{2}-4n-12=0[/tex]

Factorise to give:

[tex](n-6)(n+2)[/tex]

Set first one to equal 0:

[tex]n-6=0[/tex]

[tex]n=6[/tex]

Set second one to equal 0:

[tex]n+2=0[/tex]

[tex]n=-2[/tex]

Reason for 2 solutions:

All quadratics can have a maximum of 2 solutions like this one or a minimum of 0.

The solution(s) is the point where the graph crosses the x-axis

The image below shows the graph of the equation:

[tex]n^{2}-4n-12[/tex]

When y=0:

It intercepts the x-axis at 6 and -2 giving why n has 2 solutions

Write five other iterated integrals that are equal to the given iterated integral. 8 0 x2 0 y f(x, y, z) dz dy dx 0

Answers

An iterated integral is the outcome of taking integrals toward a function of more than one variable in such a way that part of the variables is treated as constants for each of the integrals.

From the given parameters, we are to write out five iterations for a triple integral;

[tex]\mathbf{\int ^8_0\ \int^{x^2}_{0} \ \int^y_0 \ \ f(x, y, z) \ dz dy dx }[/tex]

where;

the region is bounded by 0 ≤ z ≤ y, 0 ≤ y ≤ x², 0 ≤ x ≤ 8.

Thus, since x, y, z are functions of at least one variable, we can have the following iterations:

[tex]\mathbf{\int^{64}_{0} \ \int^{8}_{\sqrt{y}} \ \int^{y}_{0} \ \ f(x,y,z) dz dxdy}[/tex]

[tex]\mathbf{\int^{64}_{0} \ \int^{y}_{0} \ \int^{8}_{\sqrt{y}} \ \ f(x,y,z)\ dxdzdy}[/tex]  

[tex]\mathbf{\int^{64}_{0} \ \int^{64}_{z} \ \int^{8}_{\sqrt{y}} \ \ f(x,y,z)\ dxdydz}[/tex]

[tex]\mathbf{\int^{8}_{0} \ \int^{x^2}_{0} \ \int^{x^2}_{z} \ \ f(x,y,z)\ dydzdx}[/tex]  

[tex]\mathbf{\int^{64}_{0} \ \int^{8}_{\sqrt{z}} \ \int^{x^2}_{z} \ \ f(x,y,z)\ dydxdz}[/tex]  

Learn more about iterated integrals here:

https://brainly.com/question/7009095

HELPPPP I WILL GIVE POINTS AND BRAINLIEST

Answers

Answer:

11 mm, 21 mm, and 16 mm.

Step-by-step explanation:

since 11+21>16, 11+ 16>21>11, You can form a triangle with 11,21,16

i need help btw im 6th grader

Answers

23.27
- 5.3
———-
17.97

:)

Help help help help help help pelsss

Answers

Answer:

angle 4 is also 75 degrees

Step-by-step explanation:

I will give Brainliest, plz help!! ​

Answers

Answer:

with what?

Step-by-step explanation:

??

I just need help shouldn't be too hard if you understand it

Answers

Answer:

x =|y| x right = negative x left=+ y up = + y down = -

Which values from this set {−30, −20, −10, 0, 10, 20} satisfy this inequality?

−15x+3≤7


−20, −10, 0, 10, and 20 only

0, 10, and 20 only

−30, −20, and −10 only

−30 and −20 only

Answers

Answer:

0, 10, and 20 only

Step-by-step explanation:

    −15x + 3 ≤ 7

−15x + 3 - 3 ≤ 7 - 3

          −15x ≤ 4

  −15x / -15 ≥ 4 /- 15   multiplying by a negative number reverses the sign.

               x ≥ -4 / 15

probably quicker to just plug the numbers in. Any negative input will immediately create a false statement.

Two linear equations are represented by using the tables below.
The data points for equation A are plotted on the coordinate plane below and are connected by using a straight line.
What is the solution to the system of equations?
A. (–6, –4)
B. (–5, –4)
C. (–3, –2)
D. (0, 1)

Answers

Answer:(-3,-2)

Step-by-step explanation:i did the test

Answer: C -3,-2

Step-by-step explanation:

$22.66 is 2% of what number

Answers

Answer:

1,133

Step-by-step explanation:

2%=0.02

$22.66÷0.02=$1,133

What is 7*1893/2? Help please

Answers

Multiply first then divide:

7*1893 = 13251

13251/2 = 6625.5

Answer: 6625.5

find the number of outcomes when n = 6 and r = 3. n!
(n−r)!r!

Answers

Answer:

20

Step-by-step explanation:

This is the formula for a combination. Substitute the values and evaluate the expression.

[tex]\frac{n!}{r!(n-r)!}\\\\\frac{(6)!}{(3)!(6-3)!}\\\\\frac{(6)!}{(3!)(3!)}\\\\\frac{(6\cdot5\cdot4\cdot3\cdot2\cdot1)}{(3\cdot2\cdot1)(3\cdot2\cdot1)}\\\\\frac{720}{(6)(6)}\\\\\frac{720}{36}\\\\ 20[/tex]

whats .8421 rounded to the nearest tenth

Answers

0.8/0.80
Place value
U I T I H
0 . 8 0

Answer:

8420

weeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Number 8 Please!!!!!
Thank You!!!

Answers

Answer:

x = 2 + 5i√2 / 6 and x = 2 - 5i√2 / 6

Step-by-step explanation:

If this isn't right, I'm sorry. Also, you can put x = 2 ± 5i√2 /6 to make it shorter and not have two answers. Hope this helps :)

A French class has a total of 31 students. The number of males is 7 more than the number of females. How many males and how many females are in the class?

Answers

Answer:

12

Step-by-step explanation:

Help help help help help help

Answers

[tex]\huge\bold{\purple{\bold{⚡133°⚡}}} [/tex]

Step-by-step explanation:

Co interior angles' sum is 180°

So, 180-67=133133°

what is 345.543 multyply by 46.34 devide by 666.89 ???? help faster 3 minutes remaining

Answers

Answer:

24.010

Step-by-step explanation:

hope it helps

Martha has 2 apples if she buys 2 more how much does she have?

Answers

Answer 4
I Hope This Helps

Does the table show a proportional relationship between x and y? Explain.

x y
2 4
4 16
7 79
10 100

Answers

Answer:

no

Step-by-step explanation:

if the y 79 was changed to 49 then yes(in that case y=x^2) but the x 7 y 79 messes the relationship up.

Three times the sum of a number and 7 is equivalent to 57.

Answers

Answer:

3(x+7)=57

Step-by-step explanation:

3 is being multiplied by "the sum of a number(or x) and 7". So, we write it as 3(x+7). That is equal to 57, so that makes the expression 3(x+7)=57.

-hope it helps

Equivalent expressions are expressions that have the same values.

The expression is [tex]3(x + 7) = 57[/tex] and the number is 12

Represent the number with x.

So, the sum of a number (x) and 7 would be represented as: x + 7

Three times the sum would be represented as: 3(x + 7)

This expression is equivalent to 57.

So, we have:

[tex]3(x + 7) = 57[/tex]

Divide both sides of the equation by 57

[tex]x + 7 = 19[/tex]

Subtract 7 from both sides of the equation

[tex]x + 7 - 7 = 19 - 7[/tex]

[tex]x = 12[/tex]

Hence, the number is 12

Read more about equivalent expressions at:

https://brainly.com/question/2972832

7 2/5= 2/3x -4 1/2 plz helpp

Answers

Answer:

3 :)

Step-by-step explanation:

ANSWER FOR 30 POINTS

Answers

Answer:

one solution.

Step-by-step explanation:

using elimination, u can get one solution

A 30-foot string of lights will be attached to the top of a 24-foot pole for a holiday display. How far from the base of the pole should the end of the string of lights be anchored?

Answers

Answer:

6

Step-by-step explanation:

Isn't it 6 because that the distance between 30 and 24

The table and graph both represent the same relationship. which equation also represents that relationship?

Answers

Answer:

I think it's y= 2x

Step-by-step explanation:

For every number in y, x increases by 2

Answer:

y=x2

Step-by-step explanation:

The first one because 2x2 is 4 .  

4x2 is 8

6x2 is 12

Which unit rate is equivalent to 12 miles per gallon? 24 miles 2 gallons 2 gallons 24 miles 36 miles 4 gallons 4 gallons 36 miles​

Answers

Answer:

24/2

Step-by-step explanation:

On a separate sheet of paper, graph the function. In the answer box, describe the function.
f(x) = {-5x+2 if x 2
2x - 2 if x 22

Please type your explanation (no links).

Answers

Answer:

  see attached

Step-by-step explanation:

The graph for x < 2 is the line y = -5x +2. It has a y-intercept of 2 (point (0, 2)) and a slope (rise/run) of -5. The line ends with an open circle at (2, -8).

The graph for x ≥ 2 is the line y = 2x -2. It has a slope of 2 and ends with a solid dot at the point (2, 2). Another point on that line will be 2 units right and 4 units up, at (4, 6).

You can plot the points described here and draw rays through them to form the graph. A graph is attached.

__

description

The function is a piecewise linear function with a jump discontinuity at x=2. The portion left of x=2 has a slope of -5 and ends with an open circle at (2, -8). The portion right of x=2 has a slope of +2 and starts with a solid dot at (2, 2).

Its domain is all real numbers. Its range is all y-values greater than -8.

what is 2/3 times 3/7

Answers

Answer: 2/3 time 3/7 it would be 6/21

Step-by-step explanation: because you would multiply bot the numerator and denominater.

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