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tangare [24]
3 years ago
5

Two similar figures have a side ratio of 4:3. If the perimeter of the smaller figure is 15 units, what is the perimeter of the l

arger figure?
Mathematics
2 answers:
Lisa [10]3 years ago
6 0

Answer:

20 units

Step-by-step explanation:

The 3 part of the ratio  refers to 15 units

Divide 15 by 3 to find the value of one part of the ratio

15 ÷ 3 = 5 ← value of 1 part of the ratio, thus

4 parts = 4 × 5 = 20 units ← perimeter of larger figure

avanturin [10]3 years ago
6 0

Answer: The answer is 20 units

Step-by-step explanation: The question stipulates that two figures have their sides in the ratio of 4:3.

This implies that for every side in the smaller figure, the corresponding side in the larger figure measures times 4/3 (that is, divided by 3 and then multiplied by 4)

Therefore if for example, one side in the smaller figure measures 9 units, then the corresponding side in the larger figure would measure

9 * 4/3.

However, if the corresponding side is represented by x for example, then

9/x = 3/4. (This makes the ratio of the left hand side equal to that on the right hand side)

By cross multiplication you now have

9(4) = 3x

36 = 3x

Divide both sides of the equation by 3, and you have

x equals 12.

Hence, if the perimeter of the smaller figure is 15 units, the perimeter of the larger figure would be calculated as

Perimeter of larger figure

15/x = 3/4

By cross multiplication you now have

15(4) = 3x

60 = 3x

Divide both sides of the equation by 3

20 = x

Therefore the perimeter of the larger figure is 20 units

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Pls help me not fail
nignag [31]

Answer:

D

Step-by-step explanation:

Using the Cosine rule to find AC

AC² = BC² + AB² - (2 × BC × AB × cosB )

      = 18² + 12² - ( 2 × 18 × 12 × cos75° )

      = 324 + 144 - 432cos75°

      = 468 - 111.8

      = 356.2 ( take the square root of both sides )

AC = \sqrt{356.2} ≈ 18.9

-----------------------------------------

Using the Sine rule to find ∠ A

\frac{18}{sinA} = \frac{18.9}{sin75} ( cross- multiply )

18.9 sinA = 18 sin75° ( divide both sides by 18.9 )

sinA = \frac{18sin75}{18.9} , then

∠ A = sin^{-1} ( \frac{18sin75}{18.9} ) ≈ 66.9°

4 0
3 years ago
Which equation, when solved, results in a different value of x than the other three?
kicyunya [14]
I would have to say -7(1/8)x-4/3=20.


The first and the second one both result in
-23 5/7

The last one results in -24 8/21

but the third one is -22 3/8.

So your answer is either the third of the last one. I assumed the third because, it is lower than all others and the first two are closer to 24 than they are to 22. It’s your choice on how to judge it.
5 0
3 years ago
48 divided by 9853 is what
Vinil7 [7]

Answer:

0.0049

Step-by-step explanation:

4 0
3 years ago
Add together 2350mm 3.42cm 11/2m and 1.45m
Artyom0805 [142]
9.3342meters because you convert 2350mm into m which is 2.35m, + and also convert 3.42cm to m which is 0.0342 then + 1.45m +11/2m= 9.3342m
6 0
3 years ago
What is the area of this figure?
ludmilkaskok [199]

Answer:

          \large\boxed{\large\boxed{42 unit^2}}

Explanation:

The figure is not a regular hexagon. It is an irregular hexagon.

Please, find attached the picture with the original question and the figure.

You can split the figure into two triangles and one rectangle.

The rectangle has dimensions: 7units × 4units, thus its area is 28 units².

Both the upper triangle and lower triangle have base 7 units and height 2 units.

Hence the area of each triangle is:

       area=(1/2)base\times height

       

      area=(1/2)7units\times 2units = 7units^2      

Hence, the area of the hexagon is:

           28units^2+7units^2+7units^2=42units^2

3 0
4 years ago
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