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3 years ago

A right triangle has side lengths of 3, 4, and x. Find x if it is the hypotenuse.

Mathematics

1 answer:

crimeas [40]3 years ago

4 0

Answer:

Step-by-step explanation:

3² + 4² = 25

√25 = 5

use the formula

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It’s a simple algebra question please answer the picture

Shtirlitz [24]

Answer:

JL = 62 (units)

Step-by-step explanation:

OK, Here we can use the part whole postulates theorem to assist us:

JL consists of parts JK + KL such that, through substitution,

5x + 2 = 27 + ( 3x - 1 )

Here we can solve for x to determine 5x + 2, and thus the value of JL:

5x + 2 = 27 + 3x - 1

2x + 2 = 27 - 1

2x + 2 = 26

2x = 24

x = 12

Substitute the value of x for 5x + 2, to get JL:

JL = 5 (12) + 2

JL = 60 + 2

JL = 62 (units)

4 0

3 years ago

A storage chest is shown. What is the volume in cubic feet?

algol13

Volume/V=length x width x height
So, V=4.5 x 2 x 2
V =18

4 0

2 years ago

Use the function below to find F(2).<br> F(t) = 2•1/2^3t

navik [9.2K]

Answer:

$F(2)= \frac{1}{32}$

Step-by-step explanation:

The given function is

$F(t) = 2 \cdot \: \frac{1}{{2}^{3t} }$

To find F(2), we substitute t=2 into the function.

This means that wherever we see t, we put 2

$F(2) = 2 \cdot \: \frac{1}{{2}^{3 \times 2} }$

We multiply the exponent in the denominator to get:

$F(2) = 2 \cdot \: \frac{1}{{2}^{6} }$

We evaluate to get:

$F(2) = 2 \cdot \: \frac{1}{64}$

We now cancel the common factors to get:

$F(2) = \frac{1}{32}$

6 0

2 years ago

According to a "how to stop bullying" Web site, 15% of students report experiencing bullying one to three times within the most

AlekseyPX

Answer:

His 95% confidence interval is (0.065, 0.155).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

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

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 186, \pi = 0.11$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.11 - 1.96\sqrt{\frac{0.11*0.89}{186}} = 0.065$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.11 + 1.96\sqrt{\frac{0.11*0.89}{186}} = 0.155$

His 95% confidence interval is (0.065, 0.155).

4 0

2 years ago

The expression 100 + 20m100+20m100, plus, 20, m gives the volume of water in Marcel’s pool (in liters) after Marcel spends mmm m

Nady [450]

All you have to do is you only need to evaluate the given equation which is:100 + 20m where m would be the number of minutes = 5 1/4 minutes
100 + 20 (5 1/4)
= 100 + 105
= 205 cubic liters is the volume of water in Marcel’s pool after he fills it.

8 0

2 years ago