All categories

2 years ago

I need the answer in a fraction if possible

Mathematics

1 answer:

Vedmedyk [2.9K]2 years ago

7 0

Answer:

12 ft 9 5/6 inches

Step-by-step explanation:

We can use proportions to solve this. Put the height of the object over the shadow. Change the height of the object to inches

Alonzo

5 ft 11 inches = 5 ft *12 inches/ft + 11 inches = 60 inches + 11 inches = 71 inches

2 ft shadow = 2* 12 inches/ ft = 24 inches

Basketball goal

4 ft 4 inches = 4 ft *12 inches/ft + 4 inches = 48inches + 4 inches = 52 inches

Alonzo Basketball

71 inches x inches tall

------------ = --------------------

24 inches 52 inches

Using cross products

71*52 = 24*x

Divide each side by 24

71*52/24 = 24x/24

923/6 =x

Lets change this to a mixed number

6 goes into 923 153 times with 5 left over

153 5/6 inches

Now we need to change inches to feet

How many time does 12 go into 153 12 times (12*12 =144 with 9 left over)

12 ft 9 5/6 inches

You might be interested in

Construct a 99% confidence interval to estimate the population proportion with a sample proportion equal to 0.36 and a sample s

vivado [14]

Using the z-distribution, the 99% confidence interval to estimate the population proportion is: (0.2364, 0.4836).

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which:

$\pi$ is the sample proportion.

z is the critical value.

n is the sample size.

In this problem, we have a 99% confidence level, hence $\alpha = 0.99$ , z is the value of Z that has a p-value of $\frac{1+0.99}{2} = 0.995$ , so the critical value is z = 2.575.

The estimate and the sample size are given by:

$\pi = 0.36, n = 100$ .

Then the bounds of the interval are:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.36 - 2.575\sqrt{\frac{0.36(0.64)}{100}} = 0.2364$

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.36 + 2.575\sqrt{\frac{0.36(0.64)}{100}} = 0.4836$

The 99% confidence interval to estimate the population proportion is: (0.2364, 0.4836).

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

8 0

1 year ago

The sum of 10 and twice a number<br> (an equation)

Gekata [30.6K]

Answer:

10+2x= the sum (anything could be put here)

Step-by-step explanation:

Well sum is automatically addition

Doubleing a number is basically multiplying it by 2

10+2x= whatever youw ant to put here

8 0

2 years ago

Evaluate the expression |-16|-|-2|

DIA [1.3K]

<h2>Answer:</h2><h2>14</h2><h2></h2><h2>Hope this helps!!</h2>

5 0

2 years ago

Read 2 more answers

Solve for x, in the picture below

MrRissso [65]

<h3>Given:</h3>

angle CED = 45°

angle EDC = x

angle DCE = 2x

The value of x.

<h3>Angle Sum Property:</h3>

The sum of all the Interior Angles of a triangle is 180°.

<h3>Solution:</h3>

x + 2x + 45° = 180°

or, 3x = 180° - 45°

or, 3x = 135°

or, x = 135/3 = 45°

<h2>Answer:</h2>

The value of x is 45°.

8 0

3 years ago

Read 2 more answers

What is the reciprocal of -2/5

AysviL [449]

Answer:

5/-2

Step-by-step explanation:

The reciprocal of a fraction is simply the original fraction flipped.

6 0

2 years ago