Step-by-step explanation:
Ratios can be written as:
a to b
a:b
a/b
We want to find boys to girls, and there are 24 boys and 12 girls. So, we can write it as
24 to 12
24:12
24:2
All of these can be reduced, since both the numerator and denominator can be divided by 12.
Numerator: 24/12=2
Denominator: 12/12=1
2 to 1
2:1
2/1
Answer:
4 mi/h
Step-by-step explanation:
The distance between the cyclists is the hypotenuse of an isosceles right triangle. The hypotenuse is √2 times the length of the legs in such a triangle, so each cyclist must have ridden 8 miles in 2 hours.
Their speed is (8 mi)/(2 h) = 4 mi/h.
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<em>Additional comment</em>
Consider an isosceles right triangle with leg lengths 1. Then the Pythagorean theorem tells us the length of the hypotenuse is ...
c² = a² +b² . . . square of hypotenuse is sum of squares of legs
c² = 1² +1² . . . . both legs are 1 in our example triangle
c² = 2
c = √2
That is, the hypotenuse is √2 times the leg length.
Answer:
Step-by-step explanation:
they are supplementary angles
Do you need for both or just one?
