Answer:
the triangle
Step-by-step explanation:
The perimeter is the sum of the all sides of the shape.
Triangle:
3√147+2√108+2√48+3√75+ 6√12
147=49•3, 108=36•3, 48=16•3, 75=25•3, 12=4•3 that means
√147=7√3, √108=6√3, √48=4√3, √75=5√3, √12=2√3
perimeter=3•7√3+2•6√3+2•4 √3+3•5√3+6•2√3=68√3
Square:
4•1/3•√63=4/3•√9•√7=4√7
Rectangle:
2•1/4√100+2(2√48+4√75)=
5+2(8√3+20√3)=5+56√3
Now, if you use a calculator, you will find that the greatest perimeter is for the triangle shape.
Interest on first loan = 800*.075*2 = 120
<span>so the interest on the second loan </span>
<span>= 138-120 = 18 </span>
<span>using the simple interest formula: </span>
<span>18 = P*.03*2 </span>
<span>P = $300</span>
the measures of the angles are:
<h3>
How to find the measures of the angles?</h3>
Two angles are a linear pair if their measures add up to 180°.
Then we will have that:
∠EFG + ∠GFH = 180
Here we know that:
m∠EFG=3n+23
m∠GFH=2n+32
Replacing that we get:
3n + 23 + 2n + 32 = 180
5n + 55 = 180
5n = 180 - 55 = 125
n = 125/5 = 25
Then the measures of the angles are:
m∠EFG=3n+23 = 3*25 +23 = 98°
m∠GFH=2n+32 = 2*25 + 32 = 82°
If you want to learn more about angles:
brainly.com/question/17972372
#SPJ1
Answer:
17.2
Step-by-step explanation:
We need to use the law of sines
sin A sin B
------------ = ----------
a b
sin 25 sin 27
------------ = ----------
16 x
Using cross products
x sin 25 = 16 sin 27
Divide each side by sin 25
x = 16 sin 27 / sin 25
x =17.18772863
Rounding to the nearest tenth
x = 17.2
Answer:
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