A good way of doing this problem would be to use cross multiplication of ratios
<u />
Then cross multiply
(10 girls)(270 students)=(X girls)(18 students)
2700=18x
150=x
<u>Part 1) </u>To find the measure of ∠A in ∆ABC, use
we know that
In the triangle ABC
Applying the law of sines
in this problem we have
therefore
<u>the answer Part 1) is</u>
Law of Sines
<u>Part 2) </u>To find the length of side HI in ∆HIG, use
we know that
In the triangle HIG
Applying the law of cosines
In this problem we have
g=HI
G=angle Beta
substitute
therefore
<u>the answer Part 2) is</u>
Law of Cosines
Let
x-------------> <span>the length of a rectangle
y-------------> the </span>width of a rectangle
we know that
x+y=130-----------> equation 1
and
x=1.6y--------------> equation 2
<span>I substitute 2 in 1
(1.6y)+y=130-------------> 2.6y=130------------> y=130/2.6------> y=50 ft
x=1.6y--------> x=1.6*50---------> x=80 ft
the answer is
</span>the length is 80 ft
the width is 50ft
Answer:
Step-by-step explanation:
We have been given that Juan cuts a piece of rope that is 16 meter long into 2 equal pieces. We are asked to find the length of each shorter piece of rope.
To find length of each shorter piece of rope, we will divide total length of rope by 2 because Juan cuts the rope into two equal pieces.
Therefore, the length of each shorter piece of rope would be 8 inches.