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TEA [102]
3 years ago
5

If a and b are two angles in standard position in Quadrant I, find cos(a+b) for the given function values. sin a=3/5and cos b=12

/37
1) 153/185

2) 57/185

3) -57/185

4) -153/185
Mathematics
2 answers:
VLD [36.1K]3 years ago
7 0

See my answer to your other question for more details (26127939).

We found that cos(a) = 4/5 and sin(b) = 35/37. Then

cos(a + b) = cos(a) cos(b) - sin(a) sin(b)

cos(a + b) = 2/37 • 4/5 - 3/5 • 35/37

cos(a + b) = -57/185

insens350 [35]3 years ago
6 0

You have to find the cos of angle A, so use the Pythagorean equation and trig laws to find the other side of the triangle created by angle A. 3^2 + x^2 = 5^2. x=4. This means cos(A) = 4/5). Make both cos (A) and cos (B) have equal denominators, and add. 148/185 + 60/185 = 208/185. This answer is correct, though it doesn’t appear to be any of the answers you wrote, so either those answers are wrong or you wrote something incorrectly in the problem.

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Express 150 as a product of PRIME FACTORS.<br>Answer:​
Flauer [41]

Answer:

Step-by-step explanation:

150=2X3X5X5\\ \\ 150=2(3)5^2

6 0
3 years ago
Find the measure of each angle using the triangle sum theorem and exterior angle theorem
Paladinen [302]

(please open my photo for reference as you read, I am a visual learner/explainer so it will make the most sense that way)

So the first thing you want to do is look at the exterior angle 130°. A straight line is 180°, and every Triangle's angular sum is 180°. How I think of it is that every straight line has a mini protractor on either side. It makes it a bit easier to understand.

180 - 130 = 50

You now know that two of the angles are 50°.

You now have two of the measurements for the triangle farthest to the left.

75° and 50°

75 + 50 = 125

180 - 125 = 55

a = 55°

Now that you have all the measurements for the first triangle, let's move onto the next one.

With two measurements for the second triangle, all you need to do is find their sum and subtract that from 180 and you will have the third measurement!

50 + 60 = 110

180 - 110 = 70

b = 70°


Finally, for the last triangle, you already have two of the measurements 60° and 85°.


85 + 60 = 145

180 - 145 = 35

c = 35°


Sorry if this explanation is a bit messy, it's hard to describe certain things without a letter or some kind of name to differentiate between them verbally.


I hope this helps! <3

3 0
3 years ago
The newspaper says the only 42% of registered voters voted to determine a school bond election. If 11,960 people voted, how many
umka2103 [35]
42% of the body voted = 11960
Total student body = 11960/42% = 28476.19 = 28476 students
7 0
4 years ago
Can someone help me with this?
bulgar [2K]

Answer:

I thinks its C , but im sorry if its wrong.

Step-by-step explanation:

6 0
3 years ago
Please answer this if you can thank you :))
krek1111 [17]

<u>Answer:</u>

The variable that has the highest power is considered to be the degree of polynomials in an algebraic equation.

A column:

1) 4x^3 .

The degree is 3.

2)x^2+4.

The degree is 2.

3) x-2

The degree is 1.

B column:

1) 2x^2+1

The degree is 2.

2) x^2-x

The degree is 2.

3) x^3-5x^2+1

The degree is 3.

A×B columns:

While Multiplying two terms in a equation, if the variables are same then multiply the constant value and sum the exponent value.

1) (4x^3)(2x^2+1).

=8x^5+4x^3.

The degree is 5.

2) (x^2+4)(x^2-x).

=x^4-x^3+4x^2-4x.

The degree is 4.

3) (x-2)(x^3-5x^2+1).

=x^4-5x^3+x-2x^3+15x^2-3.\\=x^4-7x^3+15x^2+x-3.

The degree is 4.

3 0
3 years ago
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