Answer:
Find the height of a cylinder with radius 25 cm and surface area 8953.54 cm².
O = 2·pi·r^2 + 2·pi·r·h --> h = O/(2·pi·r) - r = 8953.54/(2·pi·25) - 25 = 32.00 cm
Find the volume of a rectangular prism that measures 47 meters long, 24 meters wide, and 33 meters high.
V = a·b·c = 47·24·33 = 37224 m³
Find the surface area of a square pyramid with dimensions 6 ft by 6 ft, and slant height 9 ft.
O = a^2 + 2·a·hs = 6^2 + 2·6·9 = 144 ft²
Answer:
x = - 7 , x = 2 , x = 1
Step-by-step explanation:
note that
p(1) = 1³ + 4(1)² - 19(1) + 14 = 1 + 4 - 19 + 14 = 0
since p(1) = 0 , then x = 1 is a zero
using synthetic division
1 | 1 4 - 19 14
↓ 1 5 - 14
------------------------
1 5 - 14 0
quotient is x² + 5x - 14
equating quotient to zero
x² + 5x - 14 = 0
(x + 7)(x - 2) = 0
equate each factor to zero and solve for x
x + 7 = 0 ⇒ x = - 7
x - 2 = 0 ⇒ x = 2
then zeros are x = - 7, x = 2 , x = 1
Answer:
Step-by-step explanation:
The angle of elevation of the sun from the ground to the top of a tree is 36°.
We are given that:
The sun from the ground to the top of a tree when a tree that is 10 yards tall casts a shadow 14 yards long.
Now by using the trigonometric identity .
tan θ = P / B
As figure is given below .
AB = Perpendicular = 10 yards
BC = Base = 14 yards
Putting all the values in the trigonometric identity .
tan θ = 10 / 14
θ = 36°
Therefore, the angle of elevation of the sun from the ground to the top of a tree is 36°.
Learn more about angle of elevation here:
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Answer:
Step-by-step explanation:
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