Answer:
Therefore the height of the tower is 101.79 m.
Step-by-step explanation:
The ratio of the height of an object to the shadow of the object is always constant at certain time.
![\frac{\textrm{The height of object}}{\textrm{The shadow of the object}}= constant](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctextrm%7BThe%20height%20of%20object%7D%7D%7B%5Ctextrm%7BThe%20%20shadow%20of%20the%20object%7D%7D%3D%20constant)
![\Rightarrow \frac{h_1}{s_1}=\frac{h_2}{s_2}](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cfrac%7Bh_1%7D%7Bs_1%7D%3D%5Cfrac%7Bh_2%7D%7Bs_2%7D)
Given that,the length of the pole is 3.5 m and it casts a shadow that is 1.47 m long.
The length of shadow that castes by a tower is 42.75 m long.
Here h₁= 3.5 m, s₁=1.47 m, h₂= ? and s₂=42.75 m
![\therefore \frac {3.5}{1.47}=\frac{h_2}{42.75}](https://tex.z-dn.net/?f=%5Ctherefore%20%5Cfrac%20%7B3.5%7D%7B1.47%7D%3D%5Cfrac%7Bh_2%7D%7B42.75%7D)
⇒3.5 ×42.75 = h₂× 1.47
![\Rightarrow h_2=\frac{3.5 \times 42.75}{1.47}](https://tex.z-dn.net/?f=%5CRightarrow%20h_2%3D%5Cfrac%7B3.5%20%5Ctimes%2042.75%7D%7B1.47%7D)
⇒h₂ = 101.79 m (approx)
Therefore the height of the tower is 101.79 m.
Answer:
VOLUME:
amount of confetti stuffed in a tube
amount of soup in a can
amount of dirt in a flower pot
SURFACE AREA:
amount of paper to cover a can
amount of paint for outside of tube
amount of cardboard to make a tube
Step-by-step explanation:
Let's first calculate the roots of f(x) = x³-18x²+101x-180
a) f(4) = 4³ - 18.(4²) +101.(4) -180 =0, then x=4 is a root.
b) to find the 2 other roots divide x³-18x²+101x-180 by (x-4) = x²-14x+45
c) this quadratic equation has the following roots: x=5 and x=9. Hence:
f(x) = x³-18x²+101x-180 = (x-4)(x-5)(x-9)
the x-intercepts are x₁ = 4, x₂ = 5, x₃ = 9.
To find the y intercept plug x= 0 in f(x) = x³-18x²+101x-180
f(x) = y = -180 (y intercept
The graph starts from - ∞ to + ∞ and passes through one maximum and one minimum