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NeTakaya
1 year ago
11

The ratio of the measures of the three angles in a triangle is 15:8:13. Find the measure of the three angles.

Mathematics
1 answer:
EleoNora [17]1 year ago
4 0

Answer: 75, 40, 65

Step-by-step explanation:

Let the angles measure 15x, 8x, and 13x.

Since the sum of the angles of a triangle is 180 degrees,

15x+8x+13x=180, meaning that x=5.

So, the angles are 15(5)=75 degrees, 8(5)=40 degrees, and 13(5)=65 degrees.

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A person invests $2,740 in an account that earns 4.3% annual interest. Find when the value of the investment reaches $7,000. If
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So, to set up your equation is the hardest part. If you remember the basic format, you're set.

I(t) = P * (1+r%)^t

t= time and this will be our variable

Initial amount P = $2740

Rate = 4.3% which converts numerically into .043

I(t) = 7000

Before we get to find out how to find how many years it takes to get to $7000, set up the basic equation by plugging in what we know.


I(t) = $2740(1+4.3%)^t

I(t)=2740(1.043)^t

Now plug in for $7000 for I(t)

7000=2740(1.043)^t                 Divide both sides by 2740

7000/2740 = 2740/2740(1.043)^t

2.55474453=(1.043)^t

Now you can solve for t in two ways. You can either use the natural log or graph it on your graphing calculate and see when the two equations meet.

In your calculator you can set up:

ln(2.55474453)/ln(1.043) = t                 which is the method I prefer since it's much simpler

t=22.278528

but you can also graph it in your ti-84

with

y1=2.55474453

y2=(1.043)^x

and find where they intersect on the graph.

either way it'll be the same answer

3 0
3 years ago
Three years back , a father was 24 years older than his son .at present,the father is five times as old as the son.how old will
azamat

Answer:

The son is 5 I think

Step-by-step explanation:

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27 divided by 5 = 5.4

round 5.4 to 5 since it is under .5

and you get 5

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Answer:

Step-by-step explanation:

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5 0
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