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s344n2d4d5 [400]
3 years ago
14

Find the measure of each side of this triangles. Answer in exact form. ​ Find x and y

Mathematics
1 answer:
Firdavs [7]3 years ago
4 0

Answer:

x = 24/√3

4√3 = y

Step-by-step explanation:

We are given that this is a right triangle as well as two angles and a side.

Given that the angles in a triangle add up to 180 degrees, and a right angle is 90 degrees, we can say that the missing angle is equal to

(180-90-30)  = 60 degrees

Next, given sohcahtoa, we can say that

sin(30) = opposite/hypotenuse = y/x

cos(30) = adjacent/hypotenuse = 12/x

tan(30) = opposite/adjacent = y/12

We want to only have one variable per equation so we can solve for the variable, so we can use

cos(30) = 12/x and tan(30) = y/12

Starting with cos(30) = 12/x, we can multiply both sides by x to remove the denominator to get

cos(30) * x = 12, and divide both sides by cos(30) to isolate the x and get

x = 12/cos(30). Next, cos(30) = √3/2, so we have

x = 12/(√3/2)

x = (12/1) / (√3/2)

x = (12/1) * (2/√3)

x = 24/√3

For y, we have

tan(30) = y/12

multiply both sides by 12 to isolate the y and remove the denominator

tan(30) * 12  = y

√3/3 * 12 = y

√3 * 4 = y

4√3 = y

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exis [7]

<em>answer = - 56  \\ solution \\  \frac{ - 7}{13}  =  \frac{m}{104}  \\ or \: 13 \times m = 104 \times ( - 7) \\ or \: 13 \: m =  - 728 \\ or \: m =  \frac{ - 728}{13}  \\ m = -  56 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment</em>

8 0
2 years ago
Read 2 more answers
Can you help me please ​
Olenka [21]

Answer:

log_372 = 3.8928

Step-by-step explanation:

Given

log_38 = 1.8928

Required

Evaluate log_372

We have:

log_372 = log_3(8 *9)

Apply law of logarithm

log_372 = log_38 +log_39

Express 9 as 3^2

log_372 = log_38 +log_33^2

Evaluate the exponents

log_372 = log_38 +2log_33

log_33 = 1.

So:

log_372 = log_38 + 2 * 1

log_372 = log_38 + 2

Substitute log_38 = 1.8928

log_372 = 1.8928 + 2

log_372 = 3.8928

5 0
2 years ago
IMPORTANT IMPORATANT PLZZZ HELPPP
Gekata [30.6K]

Answer:

Step-by-step explanation:

Your answer is the first picture (upper left)

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What is a factor of -270 that adds to be -39
sergeinik [125]
For this one your answer is -309
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The computer lab at a high school ordered 26 packages of Cra. There were 50 CDs in each packages. How many CDs did the computer
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Hey You!

To solve this question, we must use multiplication:

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The computer ordered 1,300 CDs.
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