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2 years ago

Which of the following is true?

Mathematics

1 answer:

Cloud [144]2 years ago

3 0

Answer:

option B should be correct

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Given a right triangle with legs a, b and hypotenuse c, solve for b if a= 72 and c= 75

kotykmax [81]

Answer:

The answer is a. 21.

Step-by-step explanation:

We solve this question by using Pythagoras theorem to relate the sides of a right angled triangle.

Here,

Hypotenuse of the given triangle(c)=75

Two sides of right angled triangle are:

a=72

b=?

Then,

for a given right angled triangle abc,

Using Pythagoras theorem,

$c=\sqrt{a^{2} +b^{2} }$

Squaring on both sides,

$c^{2} =a^{2}+b^{2}$

or, $75^{2}=72^{2}+b^{2}$

or, $b^{2}=75^{2}-72^{2}$

or, $b^{2}=5625- 5184$

or, $b^{2} =441$

∴ $b=21$

So, the value of b is obtained to 21 by the use of Pythagoras theorem.

7 0

3 years ago

Which parent function is f(x) = |x|?

Levart [38]

Answer:

B. The absolute value parent function

Step-by-step explanation:

$f(x)=|x|$

Referred to as absolute value, the value inside the bars is measured in terms of its distance from 0. Therefore:

$|0|=0\\|3|=3\\|-3|=3$

In essence, a negative value within the bars becomes positive, while a positive value remains positive.

6 0

3 years ago

PLEASE HELP, I’LL GIVE BREAINLIST!

zzz [600]

Answer:

1/72

Step-by-step explanation:

Not entirely sure but i do hope it helps

5 0

3 years ago

Read 2 more answers

What is 424.12 rounded to the nearest 10th<br> ASAP

evablogger [386]

424.1

the nearest 10th refers to the first decimal place therefore there would only need to be 1 decimal place. and you don’t the round the 1 up when dropping the 2 because the 2 is less than five.

4 0

3 years ago

A random sample of 70 printers discovered that 25 of them were being used in small businesses. find the 95% limit for the popula

kvasek [131]

Answer:

The sample proportion of printers used in small business is:

$\hat{p}=\frac{25}{70}=0.3571$

The 95% confidence interval for the population proportion of printers that are used in small businesses is:

$\hat{p} \pm z_{\frac{0.05}{2}} \sqrt{\frac{\hat{p}(1-\hat{p})}{n} }$

Where:

$z_{\frac{0.05}{2}}=1.96$ is the critical value at 0.05 significance level

$\therefore 0.3571 \pm 1.96 \sqrt{\frac{0.3571(1-0.3571)}{70} }$

$0.3571 \pm 0.1122$

$\left ( 0.3571 - 0.1122, 0.3571 + 0.1122 \right)$

$\left(0.245,0.469 \right)$

Therefore, the 95% confidence interval for the population proportion of printers that are used in small businesses is (0.245 , 0.469)

7 0

3 years ago