Which is the product of 7/9 and 6 in a fraction

If a and b are two angles in standard position in Quadrant I, find cos(a+b) for the given function values. sin a=8/17and cos b=1

n200080 [17]

Recall the sum identity for cosine:

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

so that

cos(a + b) = 12/13 cos(a) - 8/17 sin(b)

Since both a and b terminate in the first quadrant, we know that both cos(a) and sin(b) are positive. Then using the Pythagorean identity,

cos²(a) + sin²(a) = 1 ⇒ cos(a) = √(1 - sin²(a)) = 15/17

cos²(b) + sin²(b) = 1 ⇒ sin(b) = √(1 - cos²(b)) = 5/13

Then

cos(a + b) = 12/13 • 15/17 - 8/17 • 5/13 = 140/221

6 0

2 years ago

Students measure the length of their feet in inches. The data is shown in the frequency table below. If the data were displayed

skelet666 [1.2K]

Answer:

Step-by-step explanation:

3 0

3 years ago

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PLEASE HELP ASAP WILLL MARK BRANLIEST TO WHOEVER ANSWERS CORRECTLY FIRST 20 PTS

DedPeter [7]

Answer:

4

Step-by-step explanation:

3 0

3 years ago

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Jamie went to the his 6 friends. For each friend, he spent $4.75 for a sandwich, $1.25 for a cold beverage, and $.56 for a piece

masha68 [24]

Answer:

Jamie spent $39.36 in total.

Step-by-step explanation:

First, add the money spent for the sandwich, beverage, and fruit together.

4.75 + 1.25 + .56 = 6.56

Then, multiply the amount spent for one friend by six to find the total.

6.56 x 6 =39.36

I hope this helped you!

8 0

3 years ago

Determine the simple interest when: principal: $205,435 interest rate: 2.8%, time: 15 year

Vesna [10]

Step-by-step explanation:

<h3>principle (p) = $205,435</h3><h3>rate (r) = 2.8%</h3><h3>time (t) = 15 years</h3><h3>simple interest = (p × r × t) ÷ 100</h3><h3> = (205,435 × 2.8 × 15) ÷ 100</h3><h3> = 8,628,270 ÷ 100</h3><h3> = 86282.7</h3>

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4 0

3 years ago