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3 years ago

A wedge of cheese in the shape of a triangular prism is shown below.

Mathematics

1 answer:

kirill115 [55]3 years ago

4 0

Answer:

$144 $ Square feet$

Step-by-step explanation:

The given triangular prism comprises of two equal right triangles and three rectangles.

The Surface Area of the Prism

=Area of Two Triangles + Area of Three Rectangles

$=2(0.5X6X8)+(6X4)+(10X4)+(8X4)\\=48+24+40+32\\=144 $ Square feet$

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Find the midpoint of points A(9, -2) and B(-1,8) graphically.

Tems11 [23]

Answer:

the midpoint is (4,3)

Step-by-step explanation:

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3 years ago

The length of a rectangle is 4ft less than its width.The area of the rectangle is 6oft<img src="https://tex.z-dn.net/?f=%5E%7B2%

Alexeev081 [22]

Answer:

Width is 10ft and length is 6ft.

Step-by-step explanation:

The area of a shape is the amount inside a shape. It is found using multiplication or A = l*w. Since the width is w and the length is 4ft less than its width or w - 4, use these expressions in the area formula to find their amount.

$A = l*w\\60 = w(w -4)\\60 = w^2-4w$

Subtract 60 from both sides and factor the quadratic to solve for w.

$w^2 -4w - 60 = 0\\(w-10)(w+6) = 0$

Set each factor equal to 0 and solve.

w - 10 = 0 so w = 10

w + 6 = 0 so w = -6.

Since w represents a length or distance it cannot be negative, this means the width is 10. The length which is w - 4ft is 10 -4 = 6. The length is 6 ft.

5 0

3 years ago

using the distance formula d=√(x2- x1)^2 +(y2-y^1, what is the distance between point (-3,1) and point (-2,4) rounded to the nea

defon

Answer:

$d = \sqrt{(x2 - x1) + (y2 - y1)} \\ d = \sqrt{ (- 3 + 2) + (1 + - 4)} \\ d = \sqrt{ - 1 + - 3 } \\ d = \sqrt{ - 4 } \\ d = - 2$

Step-by-step explanation:

<h2>hope it helps you<3</h2>

4 0

2 years ago

Fifteen equals s over thirteen

zimovet [89]

Can you restate the question please

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3 years ago

How do you rotate the coordinate (9,-6) 270 degrees counterclockwise?

GalinKa [24]

Since this point is located in the fourth quadrant you have to rotate it 270 degrees counterclockwise which would end up being in third quadrant. which means the new point would be (-6,-9)

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3 years ago