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morpeh [17]
3 years ago
8

The diagram shows corresponding lengths in two similar figures. Find the area of the smaller figure. A. 14.4 yd2 B. 24 yd2 C. 26

.4 yd2 D. 28

Mathematics
2 answers:
Vaselesa [24]3 years ago
6 0

Answer:

A. 14.4 yd2

Step-by-step explanation:

Stolb23 [73]3 years ago
3 0

Answer:

B. 24 yd^2

Step-by-step explanation:

Let A denote the area of the smaller figure:

We can determine the ratio of both lengths and areas as:

3:5 :: A:40

As the areas of figures vary directly with their lengths and widths so the proportion will be direct proportion.

Converting into fractions will give us:

3/5 = A/40

Now we have to find the value of A for the area of smaller figure.

Cross multiplication will give us:

3*40 = 5A

=> 120 = 5A

=> 120/5 = 5A/5

So,

A = 24 yd^2

So, Option B is the correct answer ..

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What equation has a line through the point (4, -1) with a slope of -3.
vitfil [10]

Answer:

y = -3x + 11

Step-by-step explanation:

y = mx + b

y = -3x + b

y-int (b) = y-(-1) = -3(x-4)

=> y+1 = -3x + 12

=> y = -3x + 11

=> y = 11

y = -3x + 11

Hope this helps!   :3

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3 years ago
A high square prism has a length L and width W units. if its height is H Units long the find the lateral surface area of the pri
iogann1982 [59]

Answer:

2(L+W)H

Step-by-step explanation:

  • <em>The lateral surface area of a prism is the total of the area of the faces.</em>
  • <em>The lateral area of the prism is equal to the perimeter of the base times the altitude.</em>

Surface area= 2(L+W)H

5 0
4 years ago
A furnace was originally priced at $907.07 but went on sale for 33% off. If Omar bought the furnace and paid 9% sales tax, how m
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Answer:

662.433221

Step-by-step explanation:

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3 0
2 years ago
need help on these math questions... please either answer them or explain very simply how to answer them. Thanks.
kodGreya [7K]
You would use the pythagorean theorem. a² +b² =c²

side² +side² = hypotenuse²

So for 1) 8² + 15² = c²
64+225=c²
289=c²
√c² = √289
c = 17

2. 7²+24² =c²
49+576= c²
c²=625
√c²= √625
c = 25

3. 5²+13²=c²
25+169=c²
c² = 194
√c² = √194
c = 13.93

4. 24² + 45² =c²
576 + 2025 =c²
c² = 2601
√c² = √2601
c = 51

5.
Plug each choice into the pythagorean theorem. a² +b² =c²

3²+4² = 5²
9+16= 25
25=25

6²+8²=10²
36+64=100
100=100

16²+63²=65²
256+3969=4225
4225=4225

8²+9²=10²
64+81=100
145=100 Since 145 does not equal 100 it is not a right triangle
3 0
3 years ago
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