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fgiga [73]
3 years ago
5

How do we know the angle of 45 degrees is always equal to the square root of 2 over 2?

Mathematics
1 answer:
stellarik [79]3 years ago
8 0
The question is not correct, you mean the the sine and cosine of 45 degrees is always square root 2 over 2. 

Well you need to know how the sine and cosine are calculated. I would search in google for "sine and cosine in a unit circle". There is a very good Khan academy video that explains this in 10 minutes. Watch and learn :-)
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Factor out the greatest common factor. 10a3b−6a2b2
podryga [215]

Answer:

2a^2b(5a-3b)

If not then the other way is

5a-3b

Step-by-step explanation:

The GCF of 10a^3b and -6a^2b^2 is 2a^2b

So divide by that you will get

2a^2b(5a-3b)

4 0
3 years ago
Which algebraic equation models the English sentence, a number subtracted from 8 is equal to 4?
kykrilka [37]

let's x represent a number

8-x = 4

3 0
3 years ago
Read 2 more answers
Peter mixes 4 1/2 cups of orange juice, 2 1/4 of ginger ale and 6 1/3 cups of strawberry lemonade to make some punch. What is th
ruslelena [56]
To add these amounts together, we must first find their least common multiple in order to get common denominators (b/c when you add fractions, the denominators must be the same).

We'll start by listing some of their multiples.
To do this, count by whatever the denominator is:
4 1/2 (denominator is 2): 2 4 6 8 10 12 14
2 1/4 (denominator is 4): 4 8 12 16
6 1/3 (denominator is 3): 3 6 9 12 15

Look and see which is the first multiple that all three denominators have. Circle them if it helps you. In this case, it's 12.

So now we have to multiply the denominators by whatever number it takes to reach 12, and multiply by the same number to the numerator:

4 1/2 (times 6 to both top and bottom) =
4 6/12

2 1/4 (times 3) = 2 3/12

6 1/3 (times 4) = 6 4/12

Add all these fractions together, and you get 12 13/12, which is equal to 13 1/12.

Thus, Peter makes a total of 13 1/2 cups.

Hope this made sense! tell me if anything is confusing/incorrect :))
8 0
3 years ago
Use the future value formula to find the indicated value. FV = $ 5330 n=24​; i=0.08​; PMT=? PMT=$ (round to the nearest cent)
spin [16.1K]
Hi there
The future value formula is
Fv=pmt [(1+r)^(n)-1)÷r]
Solve the formula for PMT
PMT=Fv÷[(1+r)^(n)-1)÷r]
So
PMT=5,330÷(((1+0.08)^(24)−1)÷(0.08))
PMT=79.83

Good luck!
4 0
3 years ago
Guys please, please help!!<br><br> 1. What is the domain and range?
Vilka [71]

Answer:

<h2>Domain is a ser of possible input values</h2>

<h3>Range:is a set of Y coordinates</h3>
7 0
3 years ago
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