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kari74 [83]
2 years ago
5

The surface of a table to be built will be in the shape shown below. The distance from the center of the shape to the center of

each side is 7.8 inches and the length of each side is 9 inches.
Part A: Describe how you can decompose this shape into triangles. (2 points)

Part B: What would be the area of each triangle? (5 points)

Part C: Using your answers above, determine the area of the table's surface. (3 points)

Mathematics
1 answer:
Cloud [144]2 years ago
5 0
Part a : you could draw a line from each corner to the middle
This would give you 7 triangles in total

Part b : area of one triangle : 4.5*7.8 = 35.1 / 2 = 17.55in <-- area of 1 triangle

Part c : so if there are 7 triangles and the area of 1 triangle is 17.55, you would do:
7 * 17.55 = 122.85

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How many triples of the 3 positive integers (x,y,z) are products of 24
GalinKa [24]
8,8,8 would be the answer
3 0
2 years ago
Function L is represented by the equation y 6x +4. Compare Functions B an determining which one has the greater rate of change a
Alenkasestr [34]

Answer:

-1

Step-by-step explanation:


7 0
2 years ago
Read 2 more answers
Javier is making a cake for a party. The recipe calls for 2 3 4 234 cups of flour, but he wants to triple the recipe. He guessed
GalinKa [24]
The correct question is
<span>Javier is making a cake for a party. The recipe calls for 2 3/4 cups of flour, but he wants to triple the recipe. He guessed and put in 7 cups of flour. How many more cups of flour should he have used?

we know that
2 3/4 cups of flour------> (2*4+3)/4----> 11/4 cups
if he </span>wants to triple the recipe------> 3*(11/4)----> 33/4 ----> 8 1/4 cups required

8 1/4-7=1 1/4 cups

the answer is
1 1/4 cups
5 0
2 years ago
Polygon MNOPQ is dilated by a scale factor of 0.8 with the origin as the center of dilation, resulting in the image M’N’O’P’Q’.
N76 [4]
Answer:
slope of M'N' = 1

Explanation:
First, we will need to get the coordinates of points M' and N':
We are given that the dilation factor (k) is 0.8
Therefore:
For point M':
x coordinate of M' = k * x coordinate of M 
x coordinate of M' = 0.8 * 2 = 1.6
y coordinate of M' = k * y coordinate of M
y coordinate of M' = 0.8 * 4 = 3.2
Therefore, coordinates of M' are (1.6 , 3.2)

For point N':
x coordinate of N' = k * x coordinate of N 
x coordinate of N' = 0.8 * 3 = 2.4
y coordinate of N' = k * y coordinate of N
y coordinate of N' = 0.8 * 5 = 4
Therefore, coordinates of M' are (2.4 , 4)

Then, we can get the slope of M'N':
slope = (y2-y1) / (x2-x1)
For M'N':
slope = (3.2-4) / (1.6-2.4)
slope = 1

Hope this helps :)
8 0
2 years ago
Carlos has 4 1/2 gallons of paint. To paint a room that is 10 ft by 10 ft, he uses 34 gallon of paint. How many 10 ft by 10 ft r
Finger [1]

Answer:

C. 6 rooms

Step-by-step explanation:

I think you means he uses 3/4 gallon for 1 room.

This is a division problem. Divide the amount of paint he has by the amount he uses to paint one room.

(4 1/2)/(3/4) = (9/2)/(3/4) = 9/2 * 4/3 = 36/6 = 6

Answer: 6 rooms

8 0
2 years ago
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