The volume of the rectangular pyramid with the given dimensions is: 1,890 cubic millimeters.
<h3>What is the Volume of a Rectangular Pyramid?</h3>
Volume of rectangular pyramid = 1/3(length × width × height)
Given the following:
- Length = 21 mm
- Width = 18 mm
- Height = 15 mm
Volume of the rectangular pyramid = 1/3(21 × 18 × 15)
Volume of rectangular pyramid = 1,890 cubic millimeters.
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Answer: Answers are in the steps read carefully!
Step-by-step explanation:
A) 3x^2 - 7x + 2 To factor this polynomial, you have to find two numbers that their product is 6 and their sum is -7. The numbers -1 and -6 works out because -6 times -1 is 6 and -6 plus -1 is -7.
Now rewrite the polynomial as
3x^2 - 1x - 6x + 2 Now group it
(3x^2 - 1x) (-6x+2) Factor it by groups
x (3x -1) -2(3x -1) Now factor out 3x-1
(3x -1) (x-2) Done!
B) 2x^2 - x -3 Now the same way.You will have two numbers that their product is -6 and their sum is -1. You may be wondering how I get -6 .I get -6 by multiply the leading coefficient 2 by the constant -3. The numbers -3 and 2 works out. Because -3 times 2 is -6 and -3 plus 2 is -1.
Rewrite the polynomial as
2x^2 +2x - 3x -3 GRoup them and factor them
(2x^2 + 2x) (-3x-3)
2x(x+1) -3(x+1) Factor out x+1
(x+1) (2x -3) Done!
C) 3x^2 - 16x - 12 Find two numbers that their product is -36 and their sum is -12. The numbers -18 and 2 works out because -18 times 2 is -36 and -18 plus 2 is -16.
Rewrite the polynomial
3x^2 +2x -18x - 12 GRoup them
(3x^2 + 2x) (-18x - 12) Factor them
x (3x +2) -6(3x +2) Factor out 3x+2
(3x+2) (x -6) Done !
the
complete question in the attached figure
part A
the x intercept 0 is the point where the ball was hit, the x intercept 20 is the point where the ball fell back to the ground, 20 feet away from the kicker.
<span>the function is increasing in the interval x∈(0, 10) and decreasing in x∈(10, 20) </span>
this means that the height is increasing in the interval (0, 10) and decreasing as x goes through the interval (10,20)
the distance from the kicker is increasing during the whole interval (0, 20)
part B
the rate of change represents the slope of the secant line from A to B. It approximates the rate at which f(x) decreases or increases in the interval
x =[A, B]
from x = 22 to x = 26-------------- > the function does not exist
I think the answer is <span>x=220</span>
Answer:
A. The initial value is 100; it represents money left over from last year's fundraiser
Step-by-step explanation:
