Answer: the height of the building is 40ft
Step-by-step explanation:
Looking at the right angle triangle formed,
With angle P as the reference angle, the length shadow of the building on ground represents the adjacent side of the right angle triangle.
The height of the building represents the opposite side of the right angle triangle.
a) to determine the height of the building, x, we would apply the tangent trigonometric ratio which is expressed as
Tan θ, = opposite side/adjacent side. Therefore, the equation becomes
Tan P = x/50
b) 0.8 = x/50
x = 50 × 0.8
x = 40 ft
<span>The distributive property is: a(b + c) = ab + ac. In this expression, the example would be 8(54 + 0) = (8 x 54) + (8 x 0). The cost of eight family passes is therefore equal to 8 x 54. $432 is the answer.</span>
Answer:
f(x) = [x – (4 + √20)][x – (4 – √20]
Step-by-step explanation:
In order to know the function that best describes the given f(x) that best reveals it's minimum or maximum, we need to know solve for x.
x² – 8x – 4 = 0
Using completing the square method
x² – 8x = 4
x² – 8x + 4² = 4 + 4²
(x – 4)² = 20
x = 4 ±√20
Therefore
f(x) = [x – (4 + √20)][x – (4 – √20]
Answer:
85
Step-by-step explanation:
<em>The equation for the discriminant is </em>
b^2-4(a)(c)
<em>Plug your numbers in from the equation. </em>
<em>1=a, -7=b, -9=c</em>
<em />
(-7)^2-4(1)(-9)
49-(-36)
49+36
85
Volume of a cube = side^3
64 = s^3
So what number when multiplied by itself 3 times gives us 64?
4 !
So the side length is 4
