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Mathematics

1 answer:

PIT_PIT [208]2 years ago

7 0

Answer:

Step-by-step explanation:

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Consider a Triangle ABC like the one below. Suppose that C = 98, A = 74, and b = 11 (figure is not drawn to scale.) solve the tr

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Answer:

$A=73.8\°$

$B=8.2\°$

$c=76.3\ units$

Step-by-step explanation:

step 1

Find the measure of side c

Applying the law of cosines

$c^{2}= a^{2}+b^{2}-2(a)(b)cos(C)$

substitute the given values

$c^{2}= 74^{2}+11^{2}-2(74)(11)cos(98\°)$

$c^{2}=5,823.5738$

$c=76.3\ units$

step 2

Find the measure of angle A

Applying the law of sine

$\frac{a}{sin(A)}=\frac{c}{sin(C)}$

substitute the given values

$\frac{74}{sin(A)}=\frac{76.3}{sin(98\°)}$

$sin(A)=(74)sin(98\°)/76.3$

$A=arcsin((74)sin(98\°)/76.3)$

$A=73.8\°$

step 3

Find the measure of angle B

we know that

The sum of the internal angles of a triangle must be equal to 180 degrees

$A+B+C=180\°$

substitute the given values

$73.8\°+B+98\°=180\°$

$171.8\°+B=180\°$

$B=180\°-171.8\°=8.2\°$

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A company owes a bank $3600. Beginning with month 1, the company repays the bank $300 each month.

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Answer:

3,900

Step-by-step explanation:

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Step-by-step explanation:

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1. A rectangular rug has a length of 3 ft and width of 1 ft. A similar rug has a length of 9 ft. What is the width of the simila

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Answer:

The width of the similar rug is 3 ft

Step-by-step explanation:

Calculate the percentage between the lengths:

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The percentage is fixed for the widths as well which means 1/x = 1/3

x=3

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A shopper pays $87.15 for an $83 ceramic vase after sales tax is added. What is the sales tax percentage?

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Step-by-step explanation:

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