B. 112
C. 64
D. 96
The area of the given trapezoid is 56 sq.units.
A quadrilateral with at least one pair of parallel sides is called a trapezoid.
Given that, the two bases of a trapezoid are 3 and 11 and the altitude is 8
Area of a trapezoid = (sum of the two bases) / 2 × height
= (3+11) / 2 × 8
= 14 / 2 × 8
= 7 × 8
= 56
Hence, the area of the given trapezoid is 56 sq.units.
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a+b/2×h
3+11/2×8
14/2×8
7×8= 56 which is :A
5(2x + 3y) - 4(3x - 5y)
5(2x) + 5(3y) - 4(3x) + 4(5y)
(10x + 15y) + (-12x + 20y)
(10x - 12x) + (15y + 20y)
-2x + 35y
Answer:
Step-by-step explanation:
Expand:-
Combine and =
Combine and =
______________________
t = 5c
Each car needs 5 tires (4 on it and 1 spare, which add up to five). So for every one car they make they need 5 tires. Two cars would need 10 tires, 3 would need 15 tires, etc, so the number of tires can be found by multiplying the number of cars by 5. Putting this into equation form, you'd get t = 5c
The formula to calculate the number of tires needed in an automobile factory is t = (4c) + c, where t represents the number of tires needed and c represents the number of cars produced per day.
The formula to calculate the number of tires needed in an automobile factory is given by:
t = (4c) + c
Where t represents the number of tires needed and c represents the number of cars produced per day.
For example, if the factory produces 100 cars per day, we can substitute c = 100 into the formula to find that t = (4 * 100) + 100 = 500 + 100 = 600. Therefore, the factory would need 600 tires per day.
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B=(xy + x)(xy + x)
C=(2x – 3)(–3 + 2x)
D=(16 – x2)(x2 – 16)
E=(4y2 + 25)(25 + 4y2)
The correct answers are:
B=(xy + x)(xy + x) ; C=(2x – 3)(–3 + 2x) ; and E=(4y² + 25)(25 + 4y²)
Explanation:
In order to have a perfect square trinomial, we must multiply two binomials that are exactly the same. For (xy+x)(xy+x), are multiplying two identical binomials.
For (2x-3)(-3+2x), we are multiplying two binomials that are the same but written in a different order. The same is true of (4y² + 25)(25 + 4y²).
Answer:
A and E and C
Step-by-step explanation:
A perfect square trinomial can be written as the square of a binomial.
Answer:
Step-by-step explanation:
The formula for the volume of a cone is V = (1/3)(area of base)(height). If the radius is always equal to the height of the cone, then V = (1/3)(πh²)(h), where we have eliminated r. Shortened, this comes out to V = (1/3)(π)(h³).
We want to know how fast h is increasing when h = 3 ft.
Taking the derivative dV/dt, we get dV/dt = (1/3)π(3h²)(dh/dt), or, in simpler terms, dV/dt = πh²(dh/dt). Set this derivative = to 27 ft³/min and set h = 3 ft.
Then 27 ft³/min = π(3 ft)²(dh/dt) and solve for dh/dt: (3/π) ft/min = dh/dt when h = 3 ft.