The volume of the pyramid is 432ft3.
Answer: the distance of the base of the house to the foot of the ladder is 6.84 feet
Step-by-step explanation:
The scenario is shown in the attached photo.
Right angle triangle ABC is formed when the ladder leans against the wall of the house.
AC = the height of the ladder
AB = x feet = distance of the base of the house to the foot of the ladder
BC is the wall of the building.
To determine x, we will apply trigonometric ratio
Cos # = adjacent/hypotenuse
Where
# = 70 degrees
Hypotenuse = 20
Adjacent = x
Cos 70 = x/20
x = 20cos70
x = 20 × 0.3420
x = 6.84 feets
Answer:
x = 7
Step-by-step explanation:
Lets do the brackets first,
6 × 2x = 12
6 × -11 = -66
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Calculate the x constant:
12x - 3x = 9x
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Then the ones with no x:
-66 + 15 = -51
51 + 12 = 63
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Lastly, divide
63 ÷ 9 = 7
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Have a good day :)
Isolate the variable by dividing each side by factors that don't contain the variable. p=q/2r
Parenthesis according to the PEMDAS rule
So
7(x - 4) = 84
Would be
7x -28 = 84
Hope this helped :)