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lubasha [3.4K]
3 years ago
6

The point P(9, 12) is on the terminal side of θ. Evaluate cos θ.

Mathematics
1 answer:
frutty [35]3 years ago
7 0
<span>P(9,12): For all intents and purposes, the hypotenuse is "r", the opposite side is "y", and the adjacent side is "x".

x = 9 (from the P(9,12))
y = 12 (also from the point)

Using the Pythagorean Theorem, you find out that r = 15.

Therefore, since cos θ = x/r
cos θ = 9/15 or 3/5

Answer: 3/5</span>
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The United States has a total area of 3,796,742 square miles.
Dvinal [7]

Answer:

4 * 10^6

Step-by-step explanation:

3,796,742 is about 4,000,000

4 * 10^? = 4,000,000

4 to 4,000,000 is an extra 6 zeroes

? = 6

4 * 10^6

4 0
3 years ago
The perimeter of a triangle is 510 feet and the sides are in the ratio of 11:16:24. Find the area of the triangle
Nutka1998 [239]

If the sides are in the ratio of 11:16:24, it means that they are all multiples of a same number x, according to these factors.

So, the shorter side is 11x feet long, the middle one is 16x feet long, and the longest side is 24x feet long.

This means that the perimeter is

11x+16x+24x = 51x feet long. But we know that this is 510 feet, so we have

51x = 510 \implies x = \cfrac{510}{51} = 10.

So, the three sides are 110, 160 and 240 feet long.

To find the area of a triangle knowing its three sides, you can use Heron's formula, which states that, if s is half the perimeter of the triangle whose sides are a,b,c, the area A is given by

A = \sqrt{s(s-a)(s-b)(s-c)}

In our case, s = 255, a = 110, b = 160, c = 240 so the formula becomes

A = \sqrt{255(255-110)(255-160)(255-240)} = \sqrt{255(145)(95)(15)} = \sqrt{52689375} \approx 7258.74

5 0
3 years ago
If y = 5x – 4, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs?
lidiya [134]

Answer:

B

Step-by-step explanation:

Substitute the x value into the right side of the function and if the value obtained is equal to the y value of the point then it is a solution.

(0, - 4) → y = 5(0) - 4 = 0 - 4 = -4 ← True

(2, 6) → y = 5(2) - 4 = 10 - 4 = 6 ← True

(4, 20) → 5(4) - 4 = 20 - 4 = 16 ← False

(4, 16) → 5(4) - 4 = 20 - 4 = 16 ← True

(0, - 4), (2, 6), (4, 16) ← possible inputs and outputs

8 0
3 years ago
Glven: 2x+3y= 6.
ruslelena [56]

Answer:

The answer is B 0,2

Step-by-step explanation:

I hope that correct

7 0
3 years ago
I need to know how to solve this
dedylja [7]

Answer:

C

Step-by-step explanation:

I think you have to call a = 14/32 and b = 7/4

3a = 3 * 14/32 = 42/32

b = 1 3/4 = (4 + 3)/4 = 7/4

42/32 // 7/4                        Invert and multiply

42/32 * 4/7                         Cancel 4 into 32 and 7 into 42

6/8 = 3/4

I make the answer C

3 0
3 years ago
Read 2 more answers
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