A 12ft basketball hoop casts an 8 ft shadow. Find the length of the shadow of a 4 ft tall fence.

Answers

Answer 1

Set up a ratio of height over shadow for each :

12/8 = 4/x

Cross multiply:

12x = 32

Divide both sides by 12:

X = 2 2/3 feet

The shadow is 2 2/3 feet.


Related Questions

Find the roots of the quadratic equation 3x^2+64=2x^2/2 .

Answers

: x = +/- 4√2 i.

:
3x^2 + 64 = 2x^2/2
3x^2 + 64 = x^2
2x^2 + 64 = 0
2x^2 = -64
x^2 = -32
x = +/- √-32
x = +/- √16* -2
x = +/- 4√2 i.

A new experimental tank is in the shape of a cone, cylinder and sphere. All of the tanks have a volume of 10,000 cm3 . One condition to this tank is that the Radius should be 10 cm. Follow up the questions below based on this scenario.
Find the height of cylinder . Keep the answer in terms of π

Answers

Answer:

100/π cm

Step-by-step explanation:

Volume of a cylinder = πr²h

Volume = 10,000cm³

Radius = 10cm

The formula for the height of a cylinder is obtained as:

V = πr²h

h = V/ πr²

h = 10000 /π × 10²

h = 10000 /π × 100

h = 100/π cm

The height of the cylinder in terms of π = 100/π cm

Jennifer ran 2 miles at the track on Tuesday. If one lap around the track is 1/4 of a mile, how many laps did she run?

Answers

Answer:

She would have ran 8 laps.

Step-by-step explanation:

4/4 = 1 mile so therefore she would need 8/8 for it to be 2 miles

Can someone please help me with this

Answers

Answer:

Step-by-step explanation:

5- There are 2 right-angled triangles and 1 equilateral triangle or you can just say triangles

6- area for a triangle is a=bh(1/2)

so 4×3=12(1/2)=6

and 4×3=12(1/2)=6

In both triangles, they're a=6

7- 4×6=24(1/2)=12

the top flag is a=12

8-12+6+6=24

9- the rectangular flag has an area of 24 since a=bh and the added areas of the triangles are 24. I conclude that these are two ways of finding the area of this rectangular flag.

hope this helps : )

2
John, 25, just started contributing to his employer's 401(k) plan and started an IRA account. He is choosing to invest only in bonds and secure
Investments instead of high-risk stocks. Is John pursuing a wise investment strategy?
Select the best answer from the choices provided.
O A Yes; retirement Income should be protected from turmoil in the stock market.
OB. Yes; as john gets closer to retirement, he can switch to higher yielding stocks.
OC. No; young investors can afford more risk since they have time to recover from any sudden loses.
OD
No; bonds and safe investments are not part of good retirement plans.

Answers

Answer:

I think its C

Step-by-step explanation:

Which graph corresponds to the table above?

Answers

Answer:

Graph B. is the one

Step-by-step explanation:

Can i have brainliest

Answer:

b is the right answer

Step-by-step explanation:

(x,y)

Over the past month, a garment manufacturer produced 800 dresses. The distribution of the amount of fabric required to make the dresses is

not normal.

The average amount of fabric needed to make a dress is 4 yards, with a standard deviation of 2 of a yard. Suppose a series of samples, each

containing 180 dresses, are selected from the dresses produced in the past month.

Would it be appropriate to model the distribution of a sample mean with a normal model?

Answers

Answer:

Yes it will be appropriate to model the distribution of a sample mean with a normal model

Step-by-step explanation:

Given that the population is not normal, and the sample is sufficiently large, according to the Central Limit theorem, the distribution of the mean pf the sampling distribution will be approximately normal not withstanding the population from which the sample is obtained. Therefore, the mean, [tex]\overline x[/tex], and the standard deviation, [tex]\dfrac{\sigma}{\sqrt{n} }[/tex], of the sample will be equal to the mean, μ, and standard deviation, σ, of the of the population

Therefore, it will be appropriate to model the distribution of a sample mean with a normal model

Answer:

yes

Step-by-step explanation:

i got it right on plato

y=-3x + 4
y = 3x - 2
What solution does this system have? How do you
know? Justify(explain).

Answers

Use substitution
Set them equal to each other
-3x + 4 = 3x - 2
Solve the equation
4 = 6x - 2
6x = 6, x = 1
Plug in 1 for any equation to find y
Y = -3(1) + 4
Y = -3 + 4, y = 1
Solution: x = 1, y = 1

Simplify the following expression when x=14 y=10 z=6 .



3x+3y divided by z

Answers

3x = 42 3y = 30 so 42 + 30 = 72 then you do 72/6 which is 12

Ilsa withdraws $300 from an account that had a balance of $1,000. How much interest will she earn on the remaining balance at a simple annual interest rate of 1.8% over 3 years?

Answers

Answer:

37.8

Step-by-step explanation:

1000 - 300 = 700

I = Prt

I = (700)(1.8%)(3)

I = 37.8

An office is ordering pizza for two groups. of the 25 workers in accounting, 72% want pepperoni. Pls help

Answers

Answer:

18/25

Step-by-step explanation:

The figures are similar. find x.​

Answers

Im not really good at figures but I am good with ratios so the answer is x =25.6

How many yards are equivalent to 38 feet? Sh

Answers

Answer:

16 2/3 yards

Step-by-step explanation:

Hope this helps and have a wonderful day!!!!

2, 3, 1, 6, 4, 5, 3, 2, 3, 4 is the set

Answers

It’s the first one because if you look at the 4s there are only two and it would have been either the first or third one but it’s the first one

Answer: A

because It has 1 one 2 twos 3 threes 2 fours 1 five And 1 six

what is the perimeter of this polygon?

Answers

Answer:

24cm

Step-by-step explanation:

Assuming sides AC and BC are equivalent:

AC = 3cm + 9cm = 12cm

BC = AC = 12cm

AB = 3cm + 3cm = 6cm

AB + BC + AC = 12cm + 12cm + 6cm = 24cm

Answer:

30

Step-by-step explanation:

30

Lydia is a childbirth assistant. The first year of her career, she attended the births of 2 babies. Every year after that, the number of births Lydia attended has been double that of the previous year. After 6 years of working as a childbirth assistant, how many births has she attended in total?

Answers

Answer:24 or 4

Step-by-step explanation:

2x2=4 4x6=24 24 or 4

Points are plotted at (-2, 2), (-2, -4), and (2, -4). A fourth point is drawn such that the four points can be connected to form a rectangle. What is the area of this rectangle?

Answers

Answer:

The area of the rectangle is 24.

Step-by-step explanation:

The given points:

a) (-2, 2)

b) (-2, -4)

c) (2, -4)

To complete the rectangle the other point must be (2, 2), so the rectangle formed has the following dimensions:

x: distance in the x-direction (from -2 to 2):

[tex]x = 2 - (-2) = 4[/tex]

y: distance in the y-direction (from -4 to 2):

[tex]y = 2 - (-4) = 6[/tex]

The area of the rectangle is:

[tex] A = x*y = 4*6 = 24 [/tex]

Therefore, the area of the rectangle is 24.

I hope it helps you!      

Use a unit circle and 30°-60°-90° triangles to find the degree measures of the angle.

angles whose sine is
[tex] \frac{ \sqrt{3} }{2} [/tex]

Options:

30° + n × 360° and 330° + n × 360°

60° + n × 360° and 120° + n × 360°

240° + n × 360° and 300° + n × 360°

150° + n × 360° and 210° + n × 360°

Answers

Answer:

its B

Step-by-step explanation: Cause I have big brain. >:)

Which sentence is Correct and please take your time !!!

Answers

Answer:

b

Step-by-step explanation:

Answer:

The answer is the Last one

jet travelling at 500 km/h for 4 hours.

Answers

Answer: jet travels a total of 2000 km in total

Step-by-step explanation:

Whats the question?

-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-

What is the value of
of 8) + (-43) - 1152

Answers

Answer:

8 + (-43) - 1152 =  -1187

Step-by-step explanation:

what is the answer someone help me!!!

Answers

Answer:

14.4in so your radius is your third answer

Purple paint is made of a ratio of

16 white : 3 blue : 1 red

how much white paint is needed to make one gallon of purple paint?

plz help its important

Answers

there are 16/20 x 1 gallon = 4/5 gallons of white paint in one gallon of purple paint (got it from safari)

Answer!!!!! Help!!!

Answers

Answer:

The answer is postulate

Multiplication and division questions that equal -8?
And another one for -15?

Pls and thank u <3

Answers

For negative 8

1. -4 x 2

2. -48 ÷ 8

For negative 15

1. -5 x 3

2. -60 ÷ 4

( Sorry if they aren't complex enough)

The following side lengths make a triangle: 5, 8, and 13.

True
False

Pls help me ‼️‼️‼️‼️

Answers

Answer:

no

Step-by-step explanation:

the first two numbers is not greater than 13 so no

one number added to twice another number is 23. Four times the first number added to twice the other number is 38. What are the numbers?

Answers

Answer:

x =5 & y =9

Step-by-step explanation:

let anumber x & y

-(x + 2y = 23)

4x + 2y = 38

-x -2y = -23

4x + 2y = 38

-x + 4x + 2y - 2y = 38-23

3x+0 = 15

3x /3 = 15/3

x = 5 then

5 + 2y = 23

2y = 23-5

2y/2 = 18/2

y = 9

therefore y =18 and x = 5

what is this please? i'll give u brainliest

Answers

Answer:

i dont know i just want points

Step-by-step explanation:

>;)

You spin the spinner shown below once. The spinner has 444 equal sectors colored pink, purple, blue, and green.
What is \text{P(green})P(green)start text, P, left parenthesis, g, r, e, e, n, end text, right parenthesis?
If necessary, round your answer to 222 decimal plac

Answers

hola'

your answer is going to be 2.22 or 0.002 i think .

Answer:

0.75

Step-by-step explanation:

There are 3 favorable outcomes (pink, green, or blue).

There are 4 possible outcomes since there are 4 equal sectors.  

P(not purple)=3/4 =0.75

Factor the expression: 2x^2 +21x+49

Answers

Answer:

(2x+7)(x+7)

Step-by-step explanation:

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