The square pyramid has a volume of 972 cubic inches. What are the dimensions of the pyramid?Please Help! ☺
The square pyramid has a volume of 972 cubic inches. - 1

Answers

Answer 1
Answer:

Volume of Pyramid is given by 1/3 base area x height

From the figure we see the base have equal side x so it is a square .Are of

Base = area of square.

Area of base = area of square = x .x = x2

Volume of Pyramid = 1/3 . base area .height

Volume of Pyramid = 972 cubic inches given.

Height of Pyramid= ½ x inches .

Substituting the values of volume ,height and base area we have:

972=1/3 .x2.1/2 x.

972=1/6 x3

Multiplying both sides by 6 we have:

5832=x3

Taking cuberoot of both sides.

X=18in

Length of the side of base is x= 18in each height is ½ x = ½ .18= 9 in


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What is the slope of the line through points (0,6) and (5,-4)

Answers

the slope between the points (x1,y1) and (x2,y2) is
slope=(y2-y1)/(x2-x1)

(0,6) and (5,-4)
x1=0
y1=6
x2=5
y2=-4

slope=(-4-6)/(5-0)=-10/5=-2
slope=-2

PLEASE HELP I GIVE THANKS

Answers

41,44,46,46,48,50,50,52,55

48 is the middle number so it's median. The the answer is D.

8(j-4)=2(aj-16) Is this Infinite Solutions

Answers

8(j - 4) = 2(aj - 16)
4(j - 4) = aj - 16
4j - 16 = aj - 16
4j = aj
4j - aj = 0
j(4 - a) = 0
j = 0

The answer is: j = 0.

3 to the 3rd power times 3 to the second power times 3 to the first Power times 3 to the 0 power times 3 to the negative 1 power times 3 to the negative 2 power

Answers

3^3\cdot3^2\cdot3^1\cdot3^0\cdot3^(-1)\cdot3^(-2)=3^(3+2+1+0+(-1)+(-2))=3^3=27\n\nUsed:a^n\cdot a^m=a^(n+m)

The perimeter of a parallelogram is 72 meters.The width of the parallelogram is four meters less than its length. Find the length and the width of the parrellelogram

Answers

Parallelogram have 4 sides.

Use the distributive property. 2 multiply the last and negative 4 in the parentheses.
2l + 2(l - 4) = 72 m

Combine Like terms
2l + 2l - 8 = 72 m
4l - 8 = 72 m
Get l all by itself by adding 8 to both sides
4l - 8 = 72 m
+8. +8

Divide both sides by 4
4l = 80
4. 4

l= 20

The width of the parallelogram is four meters less than its length.

4 sides
2 length = 20
2 width = 16

I got 16 by subtracting 4 from 20

Comment if you need any other help :)

Which of the following is a set of 3 prime numbers
713
253
657
339

Answers

Prime numbers can only be divided by one and itself. 


253 should be the answer.