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Papessa [141]
3 years ago
8

The ratio of two complementary angles is 17:13. What is the measure of the smaller angle?

Mathematics
1 answer:
Mariana [72]3 years ago
8 0
We know by definition that complementary angles add up to 90 degrees. We can set up an equation using the ration given:

17x+13x=90, with x representing the amount you need to multiply the ratio by to get 90.

17x+13x=90
30x=90
x=3

We now know that the number we multiply the ratio by is 3. The smaller number in the ratio is 13, and so therefore we multiply it by 3.

3*13=39

The answer is 39 degrees.
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Answer:

56

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8 0
2 years ago
Roy Gross is considering an investment that pays 7.6 percent, compounded annually. How much will he have to invest today so that
Debora [2.8K]

Answer: he should invest $16129 today.

Step-by-step explanation:

Let $P represent the initial amount that should be invested today. It means that principal,

P = $P

It would be compounded annually. This means that it would be compounded once in a year. So

n = 1

The rate at which the principal would be compounded is 7.6%. So

r = 7.6/100 = 0.076

The duration of the investment would be 6 years. So

t = 6

The formula for compound interest is

A = P(1+r/n)^nt

A = total amount in the account at the end of t years.

A = 25000

Therefore

25000 = P(1+0.076/1)^1×6

25000 = P(1.076)^6

25000 = 1.55P

P = 25000/1.55

P = $16129

4 0
3 years ago
Given the functions f(x)=1x−2+1 and g(x)=1x+5+9 .
____ [38]
For this problem you would look at the difference between the two equations. Left and right is determined by the -2 and the +5 in the problems, to get from -2 to +5, you would add 7 but (and i dont really know how to explain the reasoning for this) whenever this number is positive, it goes left and whenever it is negative, it goes right. Figuring out if it shifts up or down is the same, look at the numbers +1 and +9 in the equations. If you go from +1 to +9, you would be adding 8, and this makes it shift upward.

Therefore the answer is the third one: the graph shifts 7 units left and 8 units up
8 0
2 years ago
Samantha’s parents give her $10 per week. For each chore that she does not complete, she must repay her parents $1. Which graph
jonny [76]
The y-intercept (initial value) is 10 and it has a slope of -1, so this is the first graph.
6 0
3 years ago
Read 2 more answers
Anyone know? If not it’s ok.
Nezavi [6.7K]

Answer:

sorry i dont

Step-by-step explanation:

6 0
2 years ago
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