ANSWER
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EXPLANATION
We want to factor
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out of
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The first term is already having a factor of
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The constant term which is the second term is not having a factor of
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so we need to use a trick of multiplying and dividing by the same factor to obtain,
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We can now factor
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out of the right hand side to obtain,
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Let us rewrite the right most fraction using the normal division symbol.
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We simplify to obtain,
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This further gives us,
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Let the ratio be termed as 4x and 2x.
Now,
4x + 2x= 90
or,6x=90
or,x=90/6
or,x=15
So the measure of angles are,4x= 4×15
= .........
and,2x=2×15 =.....
Answer:
A-560
B-5600
Step-by-step explanation:
to find the answer for A we need to divide 3360 by 6 which gives us 560.
check: 560 x 6 = 3360
To find the answer for B we need to multiply the answer for A (560) by 10 which gives us 5600
I can use the angle and the length of JH to find the length of IJ.
To do this, I look at the relationship IJ and JH have to the 52 degree angle. JH is opposite to angle I, and IJ is adjacent to angle I. Because the two side lengths are opposite and adjacent, I use the tangent function to solve this.
Tangent of an angle = the length of the opposite side / the length of the adjacent side. This is just another way to say tan(x)=opposite/adjacent
Now I can fill in what I know...
tan(52)=4.2/x
Now, I want to isolate x.
tan(52) = 4.2/x
x(tan(52))=4.2
x=4.2/tan(52)
Now I put 4.2/tan(52) into a calculator and get x = 3.3 ft
Hope this helps!
Answer:
5.5 miles
Step-by-step explanation:
2.35 + 3.15 =5.5