Answer:
Given - Diameter of circle = 14 in
To find - Area of circle
Solution -
Diameter= 2 × Radius
14 = 2 × R
14/2 = R
7 = R
Area of circle= π r^²
22/7 × 7 × 7
22 × 7
154
Answer:
36 ft
Step-by-step explanation:
The pole's shadow is 6 times the length of the man's shadow, so the pole is 6 times as high as the man.
6 × 5'11" = 30'66" = 35'6" ≈ 36 ft
Answer:
yes yes spare
Step-by-step explanation:
Slope = Change in Y / change in X
Slope = (8 - 2) / (9-6)
Slope = 6 / 3
Slope = 2
Answer:
A) -84x^3 - 8x
B) -91x^4 + 143x^2 - 65x
C) 12b^2 - 7b - 10.
D) 16x^2 - 72x + 81
Step-by-step explanation:
A) -4x(21x^2-3x+2)
B) -13x(7x^3-11x+5)
C) (3b+2)(4b-5)
D) (4x-9)^2
In A) -4x(21x^2-3x+2) we are multiplying the binomial (21x^2-3x+2) by the monomial -4x; there are two multiplications involved:
-4x(21x^2) = -84x^3
and
-4x(-3x+2) = +12x^2 - 8x.
Hence A) -4x(21x^2-3x+2) = -84x^3 - 8x
B) The work done to find the product in B) is similar: Multiply each term in 7x^3-11x+5 by -13x:
The end result is -91x^4 + 143x^2 - 65x
C) Here we are multiplying together two binomials; we use the FOIL method: Multiply together the First terms, then the Outer terms, then the Inner terms, and finally the Last terms. This results in:
(3b+2)(4b-5) = 12b^2 -15b + 8b -10, or, after simplification, 12b^2 - 7b - 10.
In D) we are squaring a binomial. The formula for this is:
(a - b)^2 = a^2 - 2ab + b^2. Here,
(4x - 9)^2 = 16x^2 - 2(36x) + 81, or 16x^2 - 72x + 81