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3 years ago

A blueprint uses a scale factor of 3 inches = 2 feet. What is the area on the blueprint of a 3,500 square foot house in inches?

Mathematics

1 answer:

lyudmila [28]3 years ago

6 0

Answer:

7875 square inches

Step-by-step explanation:

4ft^2 = 2ft * 2ft

4ft^2 = 3in * 3in

4ft^2 = 9in^2

For 3,500 square foot

3,500 square foot = x

Divide bith expressions

4/3500 = 9/x

4x = 9 * 3500

4x = 31500

x = 31500/4

x = 7875 square inches

Hence the area of the house in inches is 7875 square inches

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Emmanuel carves a cone-shaped hollow out of a solid clay cylinder. What is the approximate volume of the solid portion of the cy

bixtya [17]

Answer:

$3.14r^2(h-\frac{1}{3}h_1)$

Step-by-step explanation:

Let h be the cylinders height and r the radius.

-The volume of a cylinder is calculated as:

$V=\pi r^2h$

-Since the cone is within the cylinder, it has the same radius as the cylinder.

-Let $h_1$ be the height of the cone.

-The area of a cone is calculated as;

$V=\pi r^2 \frac{h}{3}\\\\=\frac{1}{3}\pi r^2h_1$

The volume of the solid section of the cylinder is calculated by subtracting the cone's volume from the cylinders:

$V=V_{cy}-V_{co}\\\\=\pi r^2h-\frac{1}{3}\pi r^2 h_1, \pi=3.14\\\\=3.14r^2(h-\frac{1}{3}h_1)$

Hence, the approximate area of the solid portion is $3.14r^2(h-\frac{1}{3}h_1)$

5 0

4 years ago

كيفية حساب cos a و tan a بحيث sin a يساوي 1على 2

Paraphin [41]

Answer:

uh i dont know

Step-by-step explanation:

8 1

3 years ago

Jane was asked to find the factors of 8. Here is her work: 8 × 1 = 8 8 × 2 = 16 8 × 3 = 24 Factors of 8: 8, 16, 24 Which stateme

Maru [420]

Answer:

Jane found multiples of 8.

Jane should have gotten 1, 2, 4, 8 as her answer.

Step-by-step explanation:

Factors : 1,2,4,8.

1*8=8

2*4=8

4 0

3 years ago

Select all of the following expressions that are equivalent to 16a+40 .

lina2011 [118]

The first one is true
4(4a+10) is
16 a + 40 after distribution

The second one is also true
2(8a+20)
16a + 40 after distribution

Third is not true
4a(4+10a)
16a + 40a^2 after distribution

Last one is also true
8(2a+5)
16a + 40 after distribution

Hope this helps :)

5 0

3 years ago

The half-life of lead is 22 years. How long will it take for a sample of this substance t decay to 80% of its original amount?

Svetlanka [38]

Answer: 7 years

Step-by-step explanation:

$t_{\frac{1}{2} }$ = In2 / ∧