MATHEMATICS MIDDLE SCHOOL

Is sqrt(1 - sin^2 θ) = cos θ true? if so, in which quadrants does angle θ terminate?​

Answers

Answer 1
Answer:

Answer:

  I and IV

Step-by-step explanation:

Since 1-sin(θ)² = cos(θ)², the given equation is equivalent to ...

  √(cos(θ)²) = |cos(θ)| = cos(θ)

This will be true where the cosine is non-negative, in the first and fourth quadrants.

Related Questions

Look down below for question:
The legs of a right triangle are 10 centimeters and 24 centimeters long. What is the length of the hypotenuse?
How to find area of a rectangle?
What’s the value of x?
What is the value of the expression 16 + 4 • 5 – 6 ÷ 2? A.15B.14C.33D.22

Can some one show how to solve this? The answer is 10

Answers

-x-1=x-21
Add 1 to each side
-x-1+1=x-21+1
-x=x-20
Minus x from each side
-x-x=x-x-20
-2x=-20
Divide -20 by -2x
If two negatives are divided, it becomes a positive number
-20÷-2x=10
x=10

Question 3Mr. Winking is purchasing a car and needs to finance $24,000 from the bank with an annual percentage rate (APR) of
4.8%. He is financing it over 5 years and making monthly payments. What is the monthly payment?
$104.54
$378.21
$450.71
$1225.56

Answers

Answer:

The monthly payment, PMT = $450.71

Therefore the correct option is C.) $450.71

Step-by-step explanation:

i) Value of Loan, or Present value, PV = 24000

ii) Annual percentage rate , APR = 0.048

iii) number of periods, n = 12

iv) periodic interest, R = APR / n  = 0.048 / 12 = 0.004

v) number of years, t = 5

v) Monthly Payment, PMT =  (PV* R)/(1 - (1 + R)^((-1* n * t))) = (24000 * 0.004)/(1 - ( 1 + 0.004)^(-60)) = $450.71

1. a researcher tagged 40 giant turtles in 2008. In 2009, she returned and captured 50 turtles, 16 of which were tagged. In 2010 she returned again and captured 30 turtles, 8 of which were tagged. A. Use a proportion to estimate the turtle population for 2009
B. Use a proportion to estimate the turtle population for 2010

Answers

Given:
2008 - 40 giant turtles tagged
2009 - 50 turtles capture where 16 were tagged
2010 - 30 turtles capture where 8 were tagged

2009:
40/x = 16/50
40*50 = 16x
2000 = 16x
2000/16 = x
125 = x

2010:
40/x = 8/30
40*30 = 8x
1200 = 8x
1200/8 = x
150 = x

What is the factors of 12

Answers

Factors of 12 include- 1, 2, 3, 4, 6,

Young's Dairy Bar produces yogurt in three flavors: vanilla, strawberry, and banana. The amount of vanilla yogurt they produce in a day is 2 times the amount of banana yogurt. The amount of banana yogurt they produce in a day is 3 times the amount of strawberry yogurt. a. What is the ratio of the amount of vanilla yogurt to the amount of banana yogurt to the amount of strawberry yogurt it produces in a day?
b. How many times the total amount of yogurt produced is the amount of vanilla yogurt produced?

Please hurry and answer, I REALLY need help!

Answers

a. v:b:s, there is no definite answer because we do not know the value of these yogurts.
b.You cannot say how many times, the vanilla yogurt goes into the whole, because it will always end up being 1.something, so it is 3/5 to the whole ice cream. Take Strawberry being 2, the banana will be six, and vanilla 12. If you add the total which is 20, then the 12, we know 12 can fit into 20, so we make it a fraction! When we simplify 12/20, it becomes 3/5, you can plug that in with any other number, follow the formula and try it as well.

Answer:

fart

Step-by-step explanation:

Two ships leave from the same port. One travels west 84 miles and the other travels 62 miles north. Determine the distance between the two ships.Draw a diagram ando solve for the missing measure. When necessary round to the nearest tenth.

Answers

The distance the ships traveled are like the legs of a triangle and the question wants to know the hypotenuse. To find the hypotenuse, use the pythagorean theorem. this is a^2 + b^2 = c^2, with a and b being the legs and c being the hypotenuse.
Plug in known values:
84^2 + 62^2 = c^2
Solve:
84^2 = 7056
62^2 = 3844
7056 + 3844 = c^2
7056 + 3844 = 10900
10900 = c^2
Now you just need to isolate c by finding the square root of both sides.
√10900 = 104.403
√c^2 = c

So c = 104.403, or just 104.40 when rounded to the nearest tenth.
And if c is 104.40, then that means the hypotenuse is 104.40.
And all of that basically means that the distance between the ships is 104.40 miles.
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