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2 years ago

Please answer both questions and Show Work... I will mark you brainliest and give you five starts

Mathematics

1 answer:

netineya [11]2 years ago

7 0

Answer:

Step-by-step explanation:

For each problem you need to make sure that the angles are the same.

So x + 22 = 90

x = 90 -22 = 68 degree

For the second problem

7x + 10 = 8x

10 = 8x -7x

x = 10 degree

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If the sine ratio is given, then how can sin 0/2 be determined?

pogonyaev

Step-by-step explanation:

If you know, the sine. You must find the cos ratio, using the Pythagorean trig theorem.

Next, you use the half angle identity for sin

$\sin( \frac{ \alpha }{2} ) = \sqrt{ \frac{1 - \cos(a) }{2} }$

Example.

$\sin( \alpha ) = \frac{ \sqrt{3} }{2}$

We must find

$\sin( \frac{ \alpha }{2} )$

First, use the Pythagorean identity

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

$( \frac{ \sqrt{3} }{2} ) {}^{2} + \cos {}^{2} (a) = 1$

$\frac{3}{4} + \cos {}^{2} (a) = 1$

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

$\cos( \alpha ) = \frac{1}{2}$

Now use the half angle identiy

$\sin( \frac{ \alpha }{2} ) = \sqrt{ \frac{1 - \cos( \alpha ) }{2} }$

$= \frac{ \sqrt{1 - \frac{1}{2} } }{ \sqrt{2} }$

$= \frac{ \sqrt{ \frac{1}{2} } }{ \sqrt{2} }$

$= \frac{ \sqrt{ \frac{1}{2} } }{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } = \frac{ \sqrt{1} }{ \sqrt{4} } = \frac{1}{2}$

So the answer for our example is 1/2

8 0

2 years ago

The radius of a circular table is 2 feet. What is the area of the table? Use 3.14

maks197457 [2]

A) 6.28

It is the times 2

5 0

3 years ago

Read 2 more answers

Pls help me. I need this urgently

Mashutka [201]

Didudiudidjsjsjdo and i have been on my phone for the last few wiwuw wyyears whours i and i have been here for a few days and it wiwy

4 0

3 years ago

I needhelp please :(

Karo-lina-s [1.5K]

Answer:

1/8

Step-by-step explanation:

-5/8+3/4 =( -20+24)/32 = 4/32

4/32= 1/8

4 0

3 years ago

As part of the underwriting process for insurance, each prospective policyholder is tested for high blood pressure. Let X repres

xxTIMURxx [149]

Answer:

0.053

Step-by-step explanation:

This is a geometric distribution problem.

I'm geometric distribution problem,

E(X) = 1/p

Where;

E(X) is expected value and p is probability of success

Thus;

1/p = 12.5

p = 1/12.5

p = 0.08

Now, to find the probability that the sixth person tested is the first one with high blood pressure, we will use the probability formula in geometric distribution which is;

P(X = k) = qⁿ•p

q = 1 - p

q = 1 - 0.08

q = 0.92

Thus;probability that the sixth person tested is the first one with high blood pressure will be expressed as;

P(X > 5) = (0.92^(5)) × 0.08

P(X > 5) = 0.053

3 0

3 years ago