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stepan [7]
2 years ago
6

Evaluate sin^2 θ for θ = 45°

Mathematics
1 answer:
NISA [10]2 years ago
5 0

Answer:

\frac{1}{2}

Step-by-step explanation:

sin45° = \frac{1}{\sqrt{2} } ← exact value , then

sin²45° = \frac{1}{\sqrt{2} } × \frac{1}{\sqrt{2} } = \frac{1}{2}

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Find the lowest common denominator 3x^3y^2 and 18xy^3
Katyanochek1 [597]
3x^3y^2=(3)(x)(x)(x)(y)(y)\\\\18xy^3=(3)(3)(2)(x)(y)(y)(y)\\\\Answer:(3)(3)(2)(x)(x)(x)(y)(y)(y)=18x^3y^3
7 0
3 years ago
If you deposit $25,000 now at 6.5% compounded quarterly, how much will you have in 30 years?
Mice21 [21]

Answer:

$172,984.44

Step-by-step explanation:

We can use the formula

A = P(1 + \frac{r}{n})^{nt} to compute the final amount

Here P is the principal amount, the original deposit = $25,000

r is the annual interest rate = 6.5% = 0.065 in decimal

n is the number of times the compounding takes place. Here it is quarterly so it is 4 times a year

t is the number of time periods ie 30 years

A is the accrued amount ie principal + interest

Computing different components,

nt = 4 \times 30 = 120

r/n =  0.065/4 = .01625

1 + r/n = 1.01625

(1 + r/n)^{nt} = 1.01625^{120}

Therefore

A = 25000 \times 1.0625^{120} = 172,984.44


4 0
2 years ago
Look at pic I need help!!!! :(
Novosadov [1.4K]

Answer: x=12

Step-by-step explanation:

5x-15=2x+21(AIA)

3x-15=21

3x=36

x=12

7 0
3 years ago
do you think that a negative sign affects whether or not a number is rational number? Use -8/5 an example.
lina2011 [118]

-8/5 is a rational number because in order to be a rational number it must be able to be written as a fraction. -8/5 is a fraction; therefore, the negative does not affect it.

5 0
3 years ago
What is 3/8 inch converted to a decimal.
USPshnik [31]
0.375 is 3/8 converted into a decimal, to get that you just divide 8 by 3.
7 0
3 years ago
Read 2 more answers
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