The sun is about 93 × 10\6 miles from Earth. what is this distance written as a whole number

Given: m space measured angle space C space equals space 76, a = 20, and b = 13. What is the length of c to the nearest tenth?

Komok [63]

Based on the given parameters, the length of c is 8.0 units

<h3>How to determine the side length of c?</h3>

The given parameters are

Angle c = 76 degrees

Side a = 20

Side b = 13

The length of c is then calculated using the following law of sines

c^2 = a^2 + b^2 - 2absin(C)

Substitute the known values in the above equation

So, we have

c^2 = 20^2 + 13^2 - 2 * 20 * 13 * sin(76)

Express 20^2 as 400

c^2 = 400 + 13^2 - 2 * 20 * 13 * sin(76)

Express 13^2 as 169

c^2 = 400 + 169 - 2 * 20 * 13 * sin(76)

Evaluate the product and sin(76)

c^2 = 400 + 169 - 520 * 0.9703

Evaluate the product

c^2 = 400 + 169 - 504.55

Evaluate the exponents

c^2 = 400 + 169 - 504.55

So, we have

c^2 = 64.45

Evaluate the square root

c = 8.0

Hence, the length of c is 8.0 units

Read more about law of sines at:

brainly.com/question/16955971

#SPJ1

5 0

1 year ago

to fill a coffee mug at a local shop costs $2.50. the shop sells coffee beans foe $12 per pound. each pound makes enough coffee

myrzilka [38]

Answer:

There are a few possible answers so read explanation, but the one I will put up here is:

20.83

Step-by-step explanation:

First you have to find how much 100 cups of coffee costs in store.

To do this you will multiply 2.50 by 100 and get 250. So now we know 100 cups of coffee in store costs $250 whereas 100 cups at home is $12.

To find how many times greater the price in store is compared to the at home brew, you have to divide 250 by 12 and get 20.8333333....

We don't stop there though, because it asks us to approximate. I am not sure what it would like us to round to, but here are some possible approximations:

20.83
20.8
21

Any of those re reasonable approximations, you choose whichever you think the question wants, or whatever your teacher asks for.

Hope this helps

3 0

2 years ago

Find the length of each side.

34kurt

Answer:

16.852

Step-by-step explanation:

All side lengths are the same in an octagon. What you do is take the diamater and multiply it by 0.383. Diamater is the radius doubled.

7 0

2 years ago

4. (1) Solve forx: 13 11 3x+16 65

shepuryov [24]

Step-by-step explanation:

13113x+1665
<em>_____________________________
Rewrite 13113 as 9 . 1457

Rewrite 1665 as 9 . 185
= 9 . 1457x + 9 . 185
=9(1457x + 185)
</em>

4 0

2 years ago

Head movement evaluations are important because disabled individuals may be able to operate communications aids using head motio

earnstyle [38]

Answer:

$t=\frac{\bar d -0}{\frac{s_d}{\sqrt{n}}}=\frac{1.307 -0}{\frac{7.798}{\sqrt{14}}}=0.6271$

df=n-1=14-1=13

$p_v =P(t_{(13)}>0.6271) =0.2707$

Step-by-step explanation:

A paired t-test is used to compare two population means where you have two samples in which observations in one sample can be paired with observations in the other sample. For example if we have Before-and-after observations (This problem) we can use it.

Let put some notation

x=test value CL , y = test value CO

x: 57.8 35.7 54.5 56.8 51.1 70.8 77.3 51.6 54.7 63.6 59.2 59.2 55.8 38.5

y: 44.7 52.1 60.2 52.7 47.2 65.6 71.4 48.8 53.1 66.3 59.8 47.5 64.5 34.4

The system of hypothesis for this case are:

Null hypothesis: $\mu_x- \mu_y \leq 0$

Alternative hypothesis: $\mu_x -\mu_y >0$

The first step is calculate the difference $d_i=x_i-y_i$ and we obtain this:

d: 13.1, -16.4,-5.7,4.1,3.9,5.2,5.9,2.8,1.6,-2.7,-0.6,11.7,-8.7,4.1

The second step is calculate the mean difference

$\bar d= \frac{\sum_{i=1}^n d_i}{n}= \frac{29}{8}=1.307$

The third step would be calculate the standard deviation for the differences, and we got:

$s_d =\frac{\sum_{i=1}^n (d_i -\bar d)^2}{n-1} =7.798$

The 4 step is calculate the statistic given by :

$t=\frac{\bar d -0}{\frac{s_d}{\sqrt{n}}}=\frac{1.307 -0}{\frac{7.798}{\sqrt{14}}}=0.6271$

The next step is calculate the degrees of freedom given by:

$df=n-1=14-1=13$

Now we can calculate the p value, since we have a right tailed test the p value is given by:

$p_v =P(t_{(13)}>0.6271) =0.2707$

So the p value is higher than the significance level provided of 0.01, so then we can conclude that we FAIL to reject the null hypothesis that the difference mean between after and before is higher or equal than 0. So we can't conclude that the mean neck rotation is greater in the clockwise direction than in the counterclockwise direction at 1% of significance.

8 0

3 years ago