Answer:
Use a matrix equation to solve the system of linear equations: -2x + 4y= 2, -3x+7y=7 *
Answer:
length and width = 40 and 10 ft.
Step-by-step explanation:
The perimeter of a rectangular toddler play area is 100 feet.
Perimeter = 2(length + width)
Let the width = w
The length is 10 feet more than 3 times the width. Length = 10+(3w)
now put the values
100 = 2(10+3w + w)
100 = 2w + 20 + 6w
100 = (2w + 6w) + 20
100 = 8w + 20
8w = 100 - 20
w = 
w = 10 feet.
Now Length = 10+ (3w)
= 10+( 3 × 10)
= 10 + 30
= 40 feet
Therefore, length = 40 feet and width = 10 feet
Answer: 61.92751306414704
Step-by-step explanation:
Answer:
Part 1) The surface that is shared by the two solids is the top of the cube that is the same that the square base of the pyramid.
Part 2) The dimensions of this surface are 6 in x 6 in.
Part 3) Molly needs to paint 228 square inches.
Step-by-step explanation:
Part 1) Which surface is shared by the two solids?
we know that The surface that is shared by the two solids is the top of the cube that is the same that the square base of the pyramid
Part 2) What are the dimensions of this surface?
The surface is a square with side length 6 inches so The dimensions of this surface are 6 in x 6 in
Part 3) what is the area molly needs to paint?
we know that The area that Molly needs to paint is equal to the surface area of the cube plus the surface area of the pyramid minus two times the area of the surface that is shared by the two solids so therefore, Molly needs to paint 228 square inches
By setting up proportions and cross multiplying, the height would be 990.8.
