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postnew [5]
3 years ago
15

A burro is standing near a cactus. The burro is 58 in. tall. His shadow is 4 ft long. The shadow of the cactus is 8 ft long. Wha

t's the height of the cactus?
Mathematics
1 answer:
Sever21 [200]3 years ago
8 0

To find the height of the cactus, make a ratio.

58 inches divided by 4 feet equals x inches divided by 8 feet.

58/4 = x/8

14.5 = x/8

116 = x

The height of the cactus is 116 inches.

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F(x) = -0.5x2, if f(x) = -112.5, what is the value of 'x'?<br> ?
sleet_krkn [62]

Answer:

x = ± 15

Step-by-step explanation:

Given f(x) = - 0.5x² and f(x) = - 112.5 , then equate right sides

- 0.5x² = - 112.5 ( divide both sides by - 0.5 )

x² = 225 ( take square root of both sides )

x = ± \sqrt{225} = ± 15

7 0
2 years ago
A model of a famous statue is 2 1/2 inches tall. The actual statue is 3 3/4 feet tall. What is the ratio of the height of the mo
madreJ [45]

Answer: 2:3.

Step-by-step explanation:

\displaystyle\\\frac{The\  height\ of\  a\  model \ of \ a\  famous \ statue }{The\  height\ of\  the\ actual \ statue} =\frac{2\frac{1}{2} }{3\frac{3}{4} } \\\\\frac{\frac{5}{2} }{\frac{15}{4} } =\\\\\frac{5*4}{15*2} =\\\\\frac{2}{3}=2:3.

3 0
2 years ago
You take a three-question true or false quiz. You guess on all the questions. What is the probability that you will get a perfec
elena-14-01-66 [18.8K]
The probability that you will guess the first answer correctly  =  1/2  =  0.5
The probability that you will guess the second answer correctly  =  1/2  =  0.5
The probability that you will guess the third answer correctly  =  1/2  =  0.5

The probability that you will guess all three answers correctly is

                (0.5) x (0.5) x (0.5)  =  0.125  =  12.5% .

============================

Here are all the ways your answer sheet could wind up:
(R = a right answer.  W = a wrong answer.)

W W W 
W W R
W R W
W R R
R W W
R W R
R R W
R R R

Number of possible ways to score 0 right out of 3 questions:  1 way
Number of possible ways to score 1 right out of 3 questions:  3 ways
Number of possible ways to score 2 right out of 3 questions:  3 ways
Number of possible ways to score 3 right out of 3 questions:  1 way

Statistically, if your answers are all pure guesses, 
then on the average, the score you expect is

      (0 + 33-1/3 + 33-1/3 + 33-1/3 + 66-2/3 + 66-2/3 + 66-2/3 + 100) / 8

   =                  400 / 8

   =                      50%  .  

If you're happy with that score, great !  
Go to the movies the night before the test,
and start guessing.


5 0
3 years ago
Select one:<br> a.X<br> b.1/X<br> c.1/Y<br> d.Y
ASHA 777 [7]

Sine is opposite over hypotenuse

Sine t = 1 /Y

The answer is C.

5 0
4 years ago
Read 2 more answers
Find a solution to the following system of equations. -2x + y= -3 -x+2y+3
Oksanka [162]

For this case we have the following system of equations:-2x + y = -3\\-x + 2y = 3

We multiply the first equation by -2:

4x-2y = 6

We add the equations:

-x + 2y = 3\\4x-2y = 6

Adding we have:

4x-x-2y + 2y = 3 + 6\\3x = 9\\x = \frac {9} {3}\\x = 3

We look for the value of "y":

-x + 2y = 3\\-3 + 2y = 3\\2y = 3 + 3\\2y = 6\\y = \frac {6} {2}\\y = 3

So, the solution is (x, y) :( 3,3)

Answer:

(x, y) :( 3,3)

6 0
3 years ago
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