MATHEMATICS HIGH SCHOOL

Solve the triangle.

B = 72°, b = 12, c = 8

Answers

Answer 1
Answer:

Answer:

Part 1) C=39.3\°

Part 2) A=68.7\°

Part 3) a=11.8\ units

Step-by-step explanation:

we know that

Applying the law of sines

(a)/(sin(A))=(b)/(sin(B)) =(c)/(sin(C))

In this problem we have

B=72\°

b=12\ units

c=8\ units

Step 1

Find the measure angle C

(b)/(sin(B)) =(c)/(sin(C))

substitute the values and solve for C

(12)/(sin(72\°)) =(8)/(sin(C))\n \nsin(C)=sin(72\°)*(8/12)\n \nsin(C)= 0.6340\n \nC=39.3\°

Step 2

Find the measure of angle A

we know that

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

so

m<A+m<B+m<C=180\°

we have

m<B=72\°

m<C=39.3\°

m<A+72\°+39.3\°=180\°

m<A=180\°-72\°-39.3\°=68.7\°

Step 3

Find the measure of side a

Applying the law of cosines

a^(2)=b^(2)+c^(2)-2(b)(c)cos(A)

substitute

a^(2)=12^(2)+8^(2)-2(12)(8)cos(68.7\°)

a^(2)=208-(192)cos(68.7\°)

a^(2)=138.26

a=11.8\ units
Answer 2
Answer: The answer is 12^2=x^2+8^2-16x(cos(72°) 
x^2-4.9443x=80 
(x-2.4721)^2=86.1115 
x-2.4721=±9.2796 
x=11.7517 

B=72°, b=12, c=8, a=11.8 
C=arcsin(8/12*sin(72°))=39.3° 
A=68.7° 

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Answers

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Answers

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Which recursive formula can be used generate the sequence shown where f(1)=5 and n>1? 5,-1,-7,-13,-19,...
A) f(n+1)=(n)+6
B) f(n)=f(n+1)-6
C) f(n+1)=f(n)-6
D) f(n+1)= -6f(n)

Answers

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C

Answer:

c on ed

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Answers

Hi there

(-7x/5y)(5x/-7)

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= x^2/y


I hope that's help !

What is the inverse of f(x)=1/5x+3/5

Answers

Answer:

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Step-by-step explanation:

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(I like to substitute x and y early on)

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