Answer:
11 sq.ft
Step-by-step explanation:
∅= 80×π/180= 4π/9
area= 1/2 × r²× ∅
= 1/2 × 16 × ∅
= 8∅
=8×(4π/9)
= 32π/9
= 11.17 ~11
Answer:
B. 15 ft^3
Step-by-step explanation:
The volume of a pyramid is given by the formula ...
V = (1/3)Bh
where B represents the area of the base, and h represents the height.
The base is apparently a rectangle, so its area is the product of its length and width:
B = L·W = (4.5 ft)(4 ft) = 18 ft^2
Then the volume is ...
V = (1/3)(18 ft^2)(2.5 ft) = 15 ft^3
15 cubic feet of sand will be needed to fill the base.
Answer: k = {8, -8}
<u>Step-by-step explanation:</u>
In order for a quadratic equation to have exactly one solution, the discriminant must equal zero. → b² - 4ac = 0
4x² + kx + 4 = 0
↓ ↓ ↓
a=4 b=k c=4
b² - 4ac = 0
k² - 4(4)(4) = 0
k² = 64
k = √64
k = ± 8
You just substitute the value of x in the given equation:
f(x) = 2x^2 - 5
f(-4) = 2 (-4)^2 -5 = 27
f(x) : a name given to the equation
f(-4): refer to the equation when the value of the independent variable x has the value between the brackets.
Answer:
Angle 5
Angle 8
Step-by-step explanation:
measure less than the measure of Angle 1.
