The bird house in your friend's yard casts a shadow that is 14 feet long. Your friend is 5 feet tall and casts a shadow that is
3.5 feet long. What is the height of the bird house?
2 answers:
Answer:
Bird house is 20 ft. high.
Step-by-step explanation:
Let the height of the bird house is h feet high casts a shadow of 14 ft long.
My friend is 5 feet high and casts a shadow of 3.5 feet.
Now we see both the triangles Δ ABC and Δ XYZ are similar.
By the similar triangles theorem sides opposite to the corresponding angles will be in the same ratio.
(from similar triangles ABC and XYZ)
Therefore bird's house is 20 feet high.
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Answer:
x = - , x = 2
Step-by-step explanation:
To find h(g(x)) substitute x = g(x) into h(x) , that is
h(g(x))
= h(x + 1)
= (x + 1)²
= x² + 2x + 1
For h(g(x)) = 3x² + x - 5 , then
3x² + x - 5 = x² + 2x + 1 ← subtract x² + 2x + 1 from both sides
2x² - x - 6 = 0 ← in standard form
(2x + 3)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = -
x - 2 = 0 ⇒ x = 2
Answer:
35.71m/s²
Step-by-step explanation:
using the formula force(F)=mass(m)×acceleration(a)
a =
F=15.0N
m=0.42kg
a=?
a=15÷0.42
a=35.71m/s²