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3 years ago

1. Convert 36 inches into feet. A. 3.5 ft B. B. 3 ft C. 2.5 ft D. 2 ft

Mathematics

2 answers:

Burka [1]3 years ago

8 0

B. 3 feet is your answer...

36 inches = 3 feet...

deff fn [24]3 years ago

6 0

The answer is Option B , the solution is 3

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Sinx = 1/2, cosy = sqrt2/2, and angle x and angle y are both in the first quadrant.

Leviafan [203]

Answer:

Option D. 3.73

Step-by-step explanation:

we know that

$tan(x+y)=\frac{tan(x)+tan(y)}{1-tan(x)tan(y)}$

and

$sin^{2}(\alpha)+cos^{2}(\alpha)=1$

step 1

Find cos(X)

we have

$sin(x)=\frac{1}{2}$

we know that

$sin^{2}(x)+cos^{2}(x)=1$

substitute

$(\frac{1}{2})^{2}+cos^{2}(x)=1$

$cos^{2}(x)=1-\frac{1}{4}$

$cos^{2}(x)=\frac{3}{4}$

$cos(x)=\frac{\sqrt{3}}{2}$

step 2

Find tan(x)

$tan(x)=sin(x)/cos(x)$

substitute

$tan(x)=1/\sqrt{3}$

step 3

Find sin(y)

we have

$cos(y)=\frac{\sqrt{2}}{2}$

we know that

$sin^{2}(y)+cos^{2}(y)=1$

substitute

$sin^{2}(y)+(\frac{\sqrt{2}}{2})^{2}=1$

$sin^{2}(y)=1-\frac{2}{4}$

$sin^{2}(y)=\frac{2}{4}$

$sin(y)=\frac{\sqrt{2}}{2}$

step 4

Find tan(y)

$tan(y)=sin(y)/cos(y)$

substitute

$tan(y)=1$

step 5

Find tan(x+y)

$tan(x+y)=\frac{tan(x)+tan(y)}{1-tan(x)tan(y)}$

substitute

$tan(x+y)=[1/\sqrt{3}+1}]/[{1-1/\sqrt{3}}]=3.73$

7 0

3 years ago

Simplify the following expression.

34kurt

Answer:

A. 33x + 92y

Step-by-step explanation:

Set up the problem like this and combine like terms:

40x + 58y

- 7x + 34y

--------------------

33x + 92y

Or, set up the problem like this and combine like terms:

(40x + 58y) + (-7x + 34y)

40x + 58y - 7x + 34y

40x - 7x + 58y + 34y

33x + 92y

You should get the same answer with either method.

3 0

3 years ago

Read 2 more answers

A researcher conducted an experiment to investigate the effectiveness of a medicated lotion in treating a skin irritation. A gro

Helga [31]

Answer:

It can be concluded that the medicated lotion has an effect on treating skin irritations.

Step-by-step explanation:

In this case we need to determine whether the medicated lotion was effective in treating the skin irritation or not.

The hypothesis can be defined as follows:

H₀: There is no difference between the two proportions, i.e. p₁ - p₂ = 0.

Hₐ: There is a significant difference between the two proportions, i.e. p₁ - p₂ ≠ 0.

The information provided is:

n₁ = 40

n₂ = 40

X₁ = 36

X₂ = 16

Compute the sample proportions and total proportions as follows:

$\hat p_{1}=\frac{36}{40}=0.90\\\\\hat p_{2}=\frac{16}{40}=0.40\\\\\hat P=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{36+16}{40+40}=0.65$

Compute the test statistic value as follows:

$z=\frac{\hat p_{1}-\hat p_{2}}{\sqrt{\hat P(1-\hat P)[\frac{1}{n_{1}}+\frac{1}{n_{2}}]}}=\frac{0.90-0.40}{\sqrt{0.65(1-0.65)[\frac{1}{40}+\frac{1}{40}]}}=4.69$

The test statistic value is 4.69.

The decision rule is:

The null hypothesis will be rejected if the p-value of the test is less than the significance level.

Compute the p-value as follows:

$p-value=2\times P(Z$

The p-value of the test is very small.

The null hypothesis will be rejected at any significance level.

Thus, there is a significant difference between the two proportions.

So, it can be concluded that the medicated lotion has an effect on treating skin irritations.

6 0

3 years ago

I really need help..!

Doss [256]

Answer:

B: 1/6

Step-by-step explanation:

make 1/4 to 3/12. 7/12 + 3/12 is 10/12. So the green is 2/12. 2/12 simplified is 1/6.

4 0

3 years ago

Read 2 more answers

HELPP WITH THESE THREE QUESTIONS PLEASE i got yall with 30 points for these three answers

kvv77 [185]

I can't really explain it

see the picture

5 0

2 years ago

1. Convert 36 inches into feet. A. 3.5 ft B. B. 3 ft C. 2.5 ft D. 2 ft​

1. Convert 36 inches into feet. A. 3.5 ft B. B. 3 ft C. 2.5 ft D. 2 ft