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Mashcka [7]
4 years ago
10

Suppose you have one pyramid with a base that is 10 meters long and 10 meters wide with a slant that is 15 meters. Now, if the l

ength of the base is
Mathematics
1 answer:
marishachu [46]4 years ago
4 0

Answer:

The difference between area of pyramids is 125 sq.m.

Step-by-step explanation:

Length of base = 10m

Breadth of base = 10 m

Slant height = 15 m

Area of pyramid = Area of 5 bases

Area of pyramid = \frac{1}{2} \times 10 \times 15+\frac{1}{2} \times 10 \times 15+\frac{1}{2} \times 10 \times 15+\frac{1}{2} \times 10 \times 15+10 \times 10

Area of pyramid = 400 sq.m.

Now the length of base is increased to 15

Length of base = 15m

Breadth of base = 10 m

Slant height = 15 m

Area of pyramid = Area of 5 bases

Area of pyramid =\frac{1}{2} \times 15 \times 15+\frac{1}{2} \times 15 \times 15+\frac{1}{2} \times 10 \times 15+\frac{1}{2} \times 10 \times 15+10 \times 10

Area of new pyramid = 525 sq.m.

Difference between area of pyramids=525 sq.m. - 400 sq.,. = 125 sq.m.

Hence The difference between area of pyramids is 125 sq.m.

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-. In Ms. Nice's class of 9 students, the average
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Answer: 94.5

Step-by-step explanation:

If average of 9 students is 94, their total will be 94x 9 = 846

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Three numbers have a sum of 82. The second number is twice the first number. The third number is 7 more than the second number.
iVinArrow [24]

Answer: The number is 15

Step-by-step explanation: basically the equation you should solve is

(x)+(2x)+(2x+7)=82

5x+7=82

5x= -7+82

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5/5x=75/5

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3 years ago
What is the best method to solve the system of equations? 2x + 3y = 8 4x - 6y = 2?
Nana76 [90]
Answer: x = 9/4, y = 7/6

║<span>2x + 3y = 8
</span>║<span>4x - 6y = 2

</span>║4x + 6y = 16
║4x - 6y = 2

Add both equations together:

8x = 18
x = 9/4

Sub x = 9/4 into 2x + 3y = 8 
2(9/4) + 3y = 8
9/2 + 3y = 8
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5 0
4 years ago
Two shapes are shown below, one isosceles triangle and one rectangle. The dimensions can be represented by algebraic expressions
liberstina [14]

Answer:

Perimeter of Isosceles Triangle = 16 units

Step-by-step explanation:

Area of rectangle is given by the formula;

Area = 1/2 × base × height

From the diagram, base = 6x - 6 and height = 6x - 8

Thus,Area = 1/2 × (6x - 6) × (6x - 8)

Area = (3x - 3)(6x - 8) = 18x² - 42x + 24

Secondly, area of rectangle is given by;

Area = length x breadth

So, area of rectangle in question = (6x - 9)(3x - 2) = 18x² - 39x + 18

We are told both the area of the triangle and the rectangle are the same, so let's equate both areas;

18x² - 42x + 24 = 18x² - 39x + 18

18x² will cancel out and rearranging, we have;

24 - 18 = 42x - 39x

6 = 3x

x = 6/3

x = 2

Plugging 2 for x for the height and base of the triangle, we have;

base = 6(2) - 6 and height = 6(2) - 8

Base = 6 and height = 4

So,let's find the slant height of the isosceles triangle.

Dividing the base by 2,we have; 6/2 = 3

So,using Pythagoras theorem, let the slant height be h, so we have;

h² = 3² + 4²

h² = 9 + 16

h² = 25

h = √25

h = 5

2 slant sides of isosceles triangle are the same. So perimeter = 5 + 5 + 6 = 16 units

8 0
3 years ago
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