All categories

3 years ago

In ABC, a = 13,b=21, and c = 27. Find mA.

Mathematics

1 answer:

coldgirl [10]3 years ago

4 0

Answer:

Step-by-step explanation:

a = 13 ; b = 21 ; c = 27

S = (a + b + c)/2

$= \dfrac{13+21+27}{2}\\\\=\dfrac{61}{2}\\\\= 30.5$

s- a = 30.5 - 13 = 17.5

s - b = 30.5 - 21 = 9.5

s -c = 30.5 - 27 = 3.5

Area = $\sqrt{s(s-a)(s-b)(s-c)}$

$= \sqrt{30.5*17.5*9.5*3.5}\\\\=\sqrt{17747.1875} \\\\=133.21\\\\=133$

$\dfrac{cbSin \ A}{2}=133\\\\\dfrac{27*21*Sin A}{2}=133\\\\Sin \ A = \dfrac{133*2}{27*21}\\\\Sin \ A = 0.4691\\\\A = Sin^{-1} \ 0.4691\\\\\\$

A = 27°

You might be interested in

Walter’s history test scores and Janine’s history test scores are shown on the dot plot below.

Usimov [2.4K]

Hiya!

Right now, both of their medians are 86. This means that both will get the same median if a 65 was added.

I believe A.) would be the correct answer, given it's pretty far away from 83 or 84. My second answer would be B.), but I'm not sure.

If you found this especially helpful, I'd appreciate if you'd vote me Brainliest for your answer. I want to be able to assist more users one-on-one! :)

5 0

3 years ago

Read 2 more answers

*PLEASE ANSWER!!! , I WILL MARK BRAINLIEST!! , ASAP!!*

tamaranim1 [39]

A country's income distribution is the <em>distribution of total GDP among the total population</em>

<em>hope it helps</em>

5 0

3 years ago

Explain how to perform a two-sample z-test for the difference between two population means using independent samples with known

iren2701 [21]

Answer:

The steps 1-7 have been explained

Step-by-step explanation:

The steps are;

1) We will verify that the population standard deviations are known and that the population is normally distributed which means the sample size must be a minimum of 30.

2) We will state the null and alternative hypothesis

3) We will determine the critical values from the relevant tables

4) From the critical values gotten, we will determine it's corresponding region where it can be rejected.

5)We will calculate the value of the test statistic from the formula;

z = [(x1' - x2') - (μ1 - μ2)]/√[((σ1)²/n1) + ((σ2)²/n2)]

6) If the value of the test statistic gotten from step 5 above falls in the region of rejection noted in step 4,then we will reject the null hypothesis

7) After rejection of the null hypothesis, we will now give a decision/conclusion on the claim.

5 0

3 years ago

Question 5 Multiple Choice Worth 1 points) (04.05 MC) Determine if the ordered pair (-1 , -5) is a solution to the inequality y≤

Zielflug [23.3K]

Answer:

(-1, -5) satisfies the inequality and will be the solution to the inequality.

From the attached figure, it is clear that (-1, -5) is below the line.

Therefore, the correct option is:

''Yes, because 1-1, 5) is on the line''.

Step-by-step explanation:

Given the inequality

$y\le -\frac{3}{4}x-1$

substituting (-1, -5) to check whether it satisfies the inequality or not

$-5\le \:-\frac{3}{4}\left(-1\right)-1$

$-5\:\le \:\frac{3}{4}-1$

$-5\:\le -\frac{1}{4}$

TRUE

Thus, (-1, -5) satisfies the inequality and will be the solution to the inequality.

From the attached figure, it is clear that (-1, -5) is below the line.

Therefore, the correct option is:

''Yes, because 1-1, 5) is on the line''.

4 0

3 years ago

The table below shows the cost per pound of different vegetables. Prices of Vegetables Vegetable Cost (per pound) Potatoes $3.89

Simora [160]

Answer:

$10

Step-by-step explanation:

The exact number is $11.65 which is closet to $10

8 0

3 years ago