The height is 24.
We can use Pythagorean’s Theorem: a^2+b^2=c^2
substituting values we get:
a^2+7^2=25^2
Solving we get:
a^2+49=625
a^2=576
a=24.
So the height is 24.
Hope this helps!
Answer:
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Step-by-step explanation:
5 × 10^2 = 500
so 590 is greater than or > 5 × 10^2 or 500
Answer:
∠B = 17°
Step-by-step explanation:
Vertical angles are congruent, thus
5x + 7 = x + 15 ( subtract x from both sides )
4x + 7 = 15 ( subtract 7 from both sides )
4x = 8 ( divide both sides by 4 )
x = 2
Hence
∠B = 5x + 7 = (5 × 2) + 7 = 10 + 2 = 17°
Answer:
d. 8.38 ft
Step-by-step explanation:
arc(NM) = 180° - 100° = 80° (Angles on a straight line)
Length of arc = θ/360°*2πr
θ = 80°
r = 6 ft
Plug in the values
Length of arc(NM) = 80/360*2*π*6
= 8.3775804
= 8.38 ft
For every 3 girls, there are 4 boys. if there are nine girls, that expands to three extra boys, because for every three theres an extra one. so there are 12 boys (9+3.) the final ratio, boys to girls, is 12:9.