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2 years ago

Number 36 please I’m stuck

Mathematics

1 answer:

Agata [3.3K]2 years ago

6 0

Answer:

complementary

Step-by-step explanation:

A and b add to 90 degrees, which makes them complementary

You might be interested in

Determine whether the three segment lengths will produce a triangle. Type yes or no in the space provided.

tresset_1 [31]

Answer:

20 , 20 , 30 will produce a triangle

Step-by-step explanation:

* Lets study how to know if the lengths of the three segments

can formed a triangle

- It is a fact that in any triangle the sum of the smallest two sides

must be greater than the largest side

- Lets study some examples

# If the lengths of the three segments are 5 , 6 , 7

∵ 5 and 6 are the smallest

∴ 5 + 6 = 11

∵ 11 > 7 ⇒ the sum greater than the 3rd side

∴ 5 , 6 , 7 can formed a triangle

# If the lengths of the three segments are 5 , 7 , 12

∵ 5 and 7 are the smallest

∴ 5 + 7 = 12

∵ 12 = 12 ⇒ the sum equal the 3rd side

∴ 5 , 7 , 12 can not formed a triangle

# If the lengths of the three segments are 10 , 12 , 24

∵ 10 and 12 are the smallest

∴ 10 + 12 = 22

∵ 22 < 24 ⇒ the sum less than the 3rd side

∴ 10 , 12 , 24 can not formed a triangle

* Now lets solve the problem

∵ The length of the three segments are 20 , 20 , 30

∵ 20 and 20 are the smallest

∴ 20 + 20 = 40

∵ 40 > 30 ⇒ the sum greater than the 3rd side

∴ 20 , 20 , 30 will produce a triangle

5 0

2 years ago

Please help would mean a lot

jarptica [38.1K]

Answer:

1/2

Step-by-step explanation:

output devided by input

3 0

2 years ago

Find all solutions to the equation (sinx-cosx)^2=1

svetoff [14.1K]

Answer:

$x=\dfrac{\pi k}{2},\ k\in Z.$

Step-by-step explanation:

Simplify the equation $(\sin x-\cos x)^2=1:$

$\sin^2 x-2\sin x\cos x+\cos ^2x=1,\\ \\ (\sin^2x+\cos^2x)-2\sin x\cos x=1.\\$

Since

$\sin^2 x+\cos^2 x=1$

and

$2\sin x\cos x=\sin 2x,$

we have

$1-\sin 2x=1,\\ \\\sin 2x=0,\\ \\2x=\pi k,\ k\in Z,\\ \\x=\dfrac{\pi k}{2},\ k\in Z.$

8 0

3 years ago

Read 2 more answers

A researcher is interested in whether people are less able to identify emotions correctly when they are extremely tired. It is k

stepan [7]

<h2>Answer with explanation:</h2>

Let $\mu$ be the population mean.

By analyzing the given information, we have the following hypothesis:-

$H_0:\mu\geq81\\\\H_a:\mu$

Since the alternative hypotheses is left tailed so the test is a right-tailed test.

Also, the accuracy ratings of people in the general population are normally distributed.

Given : Sample size : n=51 , since n>30 so we use z-test.

Sample mean : $\overline{x}=79$

Standard deviation : $\sigma=\sqrt{20}\approx4.47$

Test statistic for population mean :-

$z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

$\Rightarrow\ z=\dfrac{79-81}{\dfrac{4.47}{\sqrt{51}}}\\\\\Rightarrow\ z\approx-3.195$

Critical value (one-tailed) corresponds to the given significance level :-

$z_{\alpha}=z_{0.05}=1.645$

Since the observed value of z (-3.195) is less than the critical value (1.645) , so we do not reject the null hypothesis.

Hence, we conclude that we do not have enough evidence to accept that people are less able to identify emotions correctly when they are extremely tired .

3 0

3 years ago

A diver who has a mass of 68 kg climbs to a diving platform that is 7.5 m above the surface of a pool. How much gravitational po

coldgirl [10]

Answer:

option D

4998 J

Step-by-step explanation:

Given in the question that,

mass of the diver = 68 kg

distance of the diver from the surface of a pool = 7.5 m

The gravitational potential energy of an object is given by

GPE = m(g)(h)

here,

<em> m is the mass of the diver</em>

<em> g is the acceleration due to gravity = 9.81m/s²</em>

<em> h is the height from the surface</em>

<em />

Plug values in the formula to calculate GPE

GPE = 68(9.8)(7.5)

= 4998 J

Therefore, the gravitational potential energy of the diver with respect to the surface of the pool is 4998 J

6 0

2 years ago