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2 years ago

If sine of x equals square root of 2 over 2, what is cos(x) and tan(x)? Explain your steps in complete sentences.

1 answer:

7 0

Sin x = square root (2) / 2

In order for us to get for cos x and tan x, first we need to know what
Hypotenuse, Adjacent, and Opposite sides.

sin x = opposite / hypotenuse.

adjacent = square root (hypotenuse^2 - opposite^2)
adjacent = square root (2^2 - square root(2)^2)
adjacent = square root (4 - 2)
adjacent = square root (2)

cos x = adjacent / hypotenuse
tan x = opposite / adjacent..

cos x = square root (2) / 2
tan x = square root (2) / square root (2) = 1

So, cos x = square root (2) / 2 and tan x = 1

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g Make a decision about the given claim. Use only the rare event rule, and make subjective estimates to determine whether event

vagabundo [1.1K]

Answer:

There is not sufficient evidence to support the claim.

Step-by-step explanation:

The claim to be tested is:

The mean respiration rate (in breaths per minute) of students in a large statistics class is less than 32.

To test this claim the hypothesis can be defined as follows:

H₀: The mean respiration rate of students is 32, i.e. μ = 32.

Hₐ: The mean respiration rate of students is less than 32, i.e. μ < 32.

The sample mean respiration rate of students is 31.3.

According to the claim the sample mean is less than 32.

The sample mean value is not unusual if the claim is true, and the sample mean value is also not unusual if the claim is false.

Thus, there is not sufficient evidence to support the claim.

7 0

2 years ago

Ryan made 95 ounces of of apple jelly he puts the same amount in 6 jars about how much jelly does each jar have

goldfiish [28.3K]

Answer:

15.83 ounces

Step-by-step explanation:

95/6 is about 15.83

Use division to divide things evenly

7 0

2 years ago

Workers have been down the street installing two blinking red lights in front of the fire station. The two lights are always tur

daser333 [38]

Answer:

After 88 seconds, they will blink together.

Step-by-step explanation:

Time after which the first light blinks = 8 seconds

Time after which the second light blinks = 22 seconds

Initially, both the lights blink together.

To find:

The time at which they will blink together again.

Solution:

Let us have a look at the time after which each light will blink.

First light will blink after:

8 s, 16 s, 24 s, 32 s, 40 s, 48 s, 56 s, 64 s, 72 s, 80 s, 88 s, 96 s, 104 s, ......

Second light will blink after:

22 s, 44 s, 66 s, 88 s, 110 s, .....

It can be seen that common time is 88 second, at which the both will blink together.

So, the answer is 88 s.

This answer can also be computed by taking the LCM (Least Common Multiple) of both the numbers i.e. 8 and 22.

Using the factorization method:

$8=\underline{2}\times 2\times 2$

$22=\underline{2}\times 11$

Common is 2.

Therefore the LCM will be:

$2\times 2\times2\times 11 = \bold{88}$

So, the answer is 88 s.

5 0

2 years ago

It’s math can you guys help me out 10 points:)

qaws [65]

Answer:

90 liters

Step-by-step explanation:

please mark me as brainlest

8 0

1 year ago

Read 2 more answers

PLEASE HELP!!!!!!!!!!!!!!!!!

Lelechka [254]

x=4.75

6×4.75=28.5

15×4.75-12=59.25

19×4.75+2=92.25

28.5+59.25+92.25=180

m<MNI= 92.25

I think this is right. I hope that it was helpful:)

8 0

2 years ago