10x+18+11x+67=180 what is x

Katena32 [7]

Given that the two pentagons are similar figures, the area of the pool = 675 sq. m..

<h3>What is the Area of Similar Figures?</h3>

If two figures are similar to each other, then, the ratio of the square of their corresponding sides equals the ratio of their areas.

We are given that the pool and the park are similar to each other. The diagram given is missing, however, here's how to find the area of the pool:

If x is a side of the pool and y is the corresponding side length of the park, therefore:

area of pool/area of park = x²/y².

Plug in the values given, cross multiply and find the area of the pool.

For example, if 3 is a side of the pool = x

6 is corresponding side of the park = y

Area of park = 2,700 sq. m

Thus:

Area of pool/2,700 = 3²/6²

Area of pool/2,700 = 9/36

Area of pool = (9 × 2,700)/36

Area of pool = 675 sq. m.

Learn more about the areas of similar figure on:

brainly.com/question/11899908

6 0

2 years ago

Use the table of reciprocals to find the reciprocal of these numbers:<br> 0.000 080 25 <br> 0.9596

Licemer1 [7]

Answer:

1000000/8025 = 40000/321 (simplified)

1000/9596

Step-by-step explanation:

Hi there,

There is an alternative way to do this....

First it is important to understand what a reciprocal is. The reciprocal of any number x is the number 1/x. The reciprocal of a number is also its multiplicative inverse, which means that the number times its reciprocal must equal 1. For a number such as 2, the reciprocal would be 1/2. For a fraction such as 2/5, the reciprocal would be 5/2.

Finding the reciprocal of a decimal can be done in a number of ways.

Change the decimal to a fraction first.

Ex. 0.25 is 25/100 and is equivalent to the fraction 1/4. Therefore Its reciprocal would be 4/1 or 4.

Keep the decimal and form the fraction 1/?? which can then be or converted to a decimal.

Ex. 0.75 The reciprocal is 1/0.75. Using a calculator, the decimal form can be found by performing the operation: 1 divided by 0.75. The decimal reciprocal in this case is a repeating decimal, 1.33333....

After finding a reciprocal of a number, perform a quick check by multiplying your original number and the reciprocal to determine that the product is 1:

(0.25)(4) = 1.00

(0.75)(1.33....) = 1 but it is easier to see for sure with repeating decimals if you use the fractions instead of the decimals.

(3/4)(4/3) = 12/12 = 1

Hope this helps, Mark as brainliest if liked it! thanks!

3 0

3 years ago

Solve for x <br> A) 12 <br> B) 11<br> C) 8 <br> D) 10

Furkat [3]

Answer:

B i would be good i solve 20 minutes

6 0

3 years ago

Find the cosine of angle B.

Alexandra [31]

$\boxed { \text {Cosine Rule : } a^2 = b^2 + c^2 - 2bc \cos(A) }$

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9² = 12² + 15² - 2 (12) (15) cos (B)

81 = 144 + 225 - 360 cos(B)

81 = 369 - 360 cos (B)

360 cos (B) = 369 - 81

360 cos (B) = 288

cos (B) = 0.8

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Answer: Cosine B = 0.8

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$\boxed { \text {Cosine Rule : } a^2 = b^2 + c^2 - 2bc \cos(A) }$

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12² = 15² + 9² - 2 (15)(9) cos (A)

144 = 225 + 81 - 270 Cos A

144 = 306 - 270 Cos A

270 Cos A = 162

Cos A = 3/5 or 0.6

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Answer: Cosine Angle A = 3/5

4 0

3 years ago

Please help me with this

Vera_Pavlovna [14]

Answer:

226.19

Step-by-step explanation:

pi * r^2 = area

The radius = diameter/2 = 6

pi * 6^2 * 2 = area of 2 tortillas

72pi = area of 2 tortillas

That rounds to 226.19

3 0

3 years ago