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2 years ago

6. At Louis Armstrong School, Ms. Turini's

Mathematics

1 answer:

34kurt2 years ago

7 0

A. 3:2
b. 2:3
c. 3:5
d. 5:3

My answers are simplified

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In ΔABC, the lengths of a, b, and c are 22.5 centimeters, 18 centimeters, and 13.6 centimeters, respectively.

Irina-Kira [14]

Given the values of the three sides of the triangle, we can apply the Cosine Law to find the angles of the triangle. Recall that for we can express the value of c through the equation below.

$c^{2} = a^{2} + b^{2} - 2abcosC$

Rearranging this equation, we can find the value ∠C as shown below.

$\cos C = \frac{a^{2}+b^{2}-c^{2}}{2ab}$
$C = cos^{-1} (\frac{a^{2}+b^{2}-c^{2}}{2ab})$

We can apply the same reasoning for finding the value of ∠B as shown.

$B = cos^{-1} (\frac{a^{2}+c^{2}-b^{2}}{2ac})$

Plugging in the values of the sides (see image attached) from the given. It will now be straightforward to compute for ∠B and ∠C.

$C = cos^{-1} (\frac{22.5^{2}+18^{2}-13.6^{2}}{2(22.5)(18)})$
$C \approx 37.19$

$B = cos^{-1} (\frac{22.5^{2}+13.6^{2}-18^{2}}{2(22.5)(13.6)})$
$B \approx 53.13$

Answer: ∠C = 37.19° and ∠B = 53.13°

7 0

3 years ago

Read 2 more answers

The voting trends for 163 countries were studied. Malta was rated number 1, but was left off of Table 2-2 which is a random samp

Crazy boy [7]

I think the possible way that the percentage vote of a country is different to the next random sampling to the other data table is its population in each country. In the first table i think Malta has the edge to this table data and place in number 1 but to the other data table the country was left of.

4 0

2 years ago

If i have 2 apple and get 3 more then lose 2 how many do i have left

nydimaria [60]

You have 2 apples, get 3 more, and then lose 2 of them.

So, you HAVE 2 apples, and if you get 3 more, you can add it to the 2.
$2 + 3 = 5$

In total at the moment, you have 5 apples. Now, you lose 2 more. We can subtract that from our total number of apples.
$5 - 2 = 3$

We now know that you are left with 3 apples.

6 0

3 years ago

Read 2 more answers

Please help im desperate!!!

belka [17]

Answer:

1) -2-3

-5

2) -1+5

3) -8+11

8 0

3 years ago

Read 2 more answers

-<br><img src="https://tex.z-dn.net/?f=%20-%203%5Cpi%20%2B%20w%20%3D%202%5Cpi" id="TexFormula1" title=" - 3\pi + w = 2\pi" alt="

pantera1 [17]

Isolate the w. Note the equal sign. What you do to one side, you do to the other.

Add 3π to both sides

- 3π (+3π) + w = 2π (+3π)

w = 2π + (3π)

w = 5π

w = 5π is your answer

hope this helps

4 0

2 years ago