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taurus [48]
3 years ago
8

Jane is making a large cake for her best friend. The cake is a rectangular prism. It is 15 inches long, 8 inches wide, and 5 inc

hes high. How much of the cake is covered by frosting except the bottom are frosted? Is this surface area or volume? Explain.
Mathematics
1 answer:
sweet [91]3 years ago
5 0
350 inches squared is the answer, because this problem is asking for the surface area. If it was asking for the volume it would have to be asking how much space the cake was taking up, but instead it is asking how much frosting is covering the cake, minus the bottom, aka. the surface are.
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Candice has already taken 5 pictures at home, and she expects to take 1 picture during every day of vacation. How many days will
DanielleElmas [232]

Answer:

2 days.

Step-by-step explanation:

Candice has already taken 5 pictures total, so if she needs to have seven in total she will only have to go on vacation for two days.

3 0
2 years ago
The area if a rectangular frame is 32 square inches. The perimeter of the frame is 24 inches. Which shows the correct dimensions
Zarrin [17]

Answer:

8 x 4

Step-by-step explanation:

Lets say the length is x and the width is y.

xy = 32

2x + 2y = 24

Rearranging the second equation, we get:

2x = 24 - 2y

/2         /2

x = 12 - y

substitute into the first equation

y(12 - y) = 32

12y - y^2 = 32

-32             -32

-y^2 +12y - 32 = 0

x -1                      x -1

y^2 - 12y + 32 = 0

(y - 8)(y - 4) = 0

y = 8 or 4

substitute into x = 12 - y.

x = 12 - 8 = 4

x = 12 -4 = 8

so the correct dimensions are 4 x 8, as either x = 4 and y =8, or x = 8 and y = 4.

Hope I helped!

8 0
3 years ago
The figure shown is made up of a cone and a cylinder. The height of the cone is 5 ft and its diameter is 12 ft. The height of th
elena-s [515]

The lateral area of a cone is 147ft².

The total surface area of the cylinder is 867ft².

The total surface area is 1014ft²

<h3>What is the lateral surface area of a cone?</h3>

The lateral area of a cone is defined as the area covered by the curved surface of the cone.

Lateral area of a cone = πr x √(r² + h²)

Where:

  • r = radius = 12/2 = 6ft
  • h = height = 5ft
  • π = 3.14

3.14 x 6 x √(36 + 25) = 147ft²

<h3>What is the total surface area of the figure ?</h3>

Total surface area of the cylinder : πr(r + 2h),

(3.14 x 6) x (6 + 40) = 867ft²

Total surface area = 867 + 147=  1014ft²

To learn more about lateral surface area, please check: brainly.com/question/27847638

#SPJ1

4 0
2 years ago
the combined score for yakubu in geography, economics and science is 194. he scored twice as many marks in economics as in geogr
SVETLANKA909090 [29]

The scores of geography, economics and science are 38, 76, 80 respectively.

Let Yakubu scored x marks in geography.

Given that the score of him in economics is twice of the score of him in geography.

So, his score in economics = 2x

Again it is given that, the score in science is 4 more than the score in economics.

So the score in science = 2x+4

According to question the combined total score is 194. So the suitable equation is,

x+2x+2x+4 = 194

Solving the equation we get,

5x+4 = 194

5x = 194-4

5x = 190

x = 190/5

x = 38

So the score in geography = 38

the score in economics = 2x = 2*38 = 76

the score in science = 2x+4 = 2*38+4 = 76+4 = 80

Hence the scores of geography, economics and science are 38, 76, 80 respectively.

To know more about Equation refer to:

brainly.com/question/2972832

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4 0
2 years ago
Write an expression equivalent to 7 + 21 that shows multiplication by a common factor
mart [117]

7 * 4 = 7 + 21

7 * 4 = 7 + 7 + 7 + 7

4 0
3 years ago
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