Answer:
Height of the streetlight ≈ 8 ft(nearest foot)
Step-by-step explanation:
The doc file displays the triangle formed from the illustration. x is the height of the street light. The distance from the gentle man to the street light is 10 ft. He has a height of 5.6 ft and the shadow formed on the ground is 24 ft long. The height of the street light can be calculated below.
The length of the tip of the shadow to the base of the street light is 34 ft. Similar triangle have equal ratio of their corresponding sides .
ab = 5.6 ft
The ratio of the base sides = 24/34
The ratio of the heights = 5.6/x
The two ratio are equal Therefore,
24/34 = 5.6/x
24x = 5.6 × 34
24x = 190.4
divide both side by 24
x = 190.4/24
x = 7.93333333333
x ≈ 8 ft
Height of the streetlight ≈ 8 ft(nearest foot)
Answer:
y = x³ + 2x² - 13x + 10
Step-by-step explanation:
Given
y = (x + 5)(x - 1)(x - 2) ← expand (x - 1)(x - 2)
= (x + 5)(x² - 2x - x + 2)
= (x + 5)(x² - 3x + 2)
Multiply each term in the second factor by each term in the first factor
= x(x² - 3x + 2) + 5(x² - 3x + 2) ← distribute both parenthesis
= x³ - 3x² + 2x + 5x² - 15x + 10 ← collect like terms
y = x³ + 2x² - 13x + 10
Answer:
Vf = 118.365 m3
Step-by-step explanation:
Vcil = Pi*[(20)^2]*(100=
Vcil = 125.600 m3
Vesf = (4/3)*Pi*(12)^3
Vesf = 7235 m3
Then
Vf = Vci - Vesf
Vf = 125.600 - 7235
Vf = 118365 m3
Best regards
Answer:
0.0625
Step-by-step explanation:
Because 2x = 0.125, we'll divide 0.125 by 2 to het the answer. (0,125 ÷ 2 = 0.0625)
1/6. 12 combinations in total and and 2 veg+ juice combinations. If you need further explanations I'll be glad to help.
