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Dmitriy789 [7]
2 years ago
13

The area of the top of a square table is 269 in2. What are the dimensions of the top?

Mathematics
1 answer:
dem82 [27]2 years ago
4 0

Answer:

\sqrt{269} is ≈ 14.01

Step-by-step explanation:

If the table top is a square, to find the area, you would multiply one side times itself.

If you are given the area, and need to find the sides, you will take the square root of the area to find the side length.

Your question doesn't say to round, but 269 is not a perfect square.

\sqrt{269} is ≈ 14.01

If the area of the base was 169, that is a perfect square. \sqrt{169} = 13

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Helen has 48 cubic inches of clay to make a solid square right pyramid with a base edge measuring 6 inches. Which is the slant h
Nikitich [7]

Answer: 5 inches


Step-by-step explanation:

Given: Volume of clay = 48 cubic inches

If we make a solid square right pyramid with a base edge a= 6 inches.

Then its base area = a^2=6^2=36\ inches^2

we know that volume of square right pyramid=\frac{1}{3}\times\ a^2h

Therefore, volume of square right pyramid made by all of clay=\frac{1}{3}\times\ a^2h=48 cubic inches

\Rightarrow\frac{1}{3}\times\ (36)\times\ h=48\\\Rightarrow12h=48\\\Rightarrow\ h=4\ inches.....\text{[Divide 12 on both sides]}

Now, slant height l=\sqrt{(\frac{a}{2})^2+h^2}

\\\Rightarrow\ l=\sqrt{3^2+4^2}\\\Rightarrow\ l=\sqrt{9+16}\\\rightarrow\ l=\sqrt{25}\\\Rightarrow\ l=5

The slant height of the pyramid if Helen uses all the clay=5 inches

5 0
3 years ago
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Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =
DanielleElmas [232]

Based on the triangle sum theorem, exterior angle theorem, the true statements are:

m∠5 + m∠6 = 180°

m∠2 + m∠3 = m∠6

m∠2 + m∠3 + m∠5 = 180°

<h3>What is the Triangle Sum Theorem and the Exterior Angle Theorem?</h3>

According to the triangle sum theorem, m∠2 + m∠3 + m∠5 = 180°.

Also, based on the exterior angle theorem, m∠2 + m∠3 = m∠6.

∠5 and ∠6 are a pair of linear angles, therefore: m∠5 + m∠6 = 180°.

In summary, the true statements about the diagram given are:

  • m∠5 + m∠6 = 180°
  • m∠2 + m∠3 = m∠6
  • m∠2 + m∠3 + m∠5 = 180°

Learn more about the triangle sum theorem on:

brainly.com/question/7696843

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8 0
2 years ago
Find each sum.
Greeley [361]

Answer:

Sum is - 5n² -8n + 4.

Step-by-step explanation:

Given : (3n² – 5n + 6) + (–8n²– 3n – 2) .

To find : Sum .

Solution : We have (3n² – 5n + 6) + (–8n²– 3n – 2) .

Combine like terms :

(3n² - 8n²– 5n - 3n + 6 - 2).

- 5n² -8n + 4.

Therefore, Sum is - 5n² -8n + 4.

8 0
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-. A businessman plans to retire in 30 years. As part of his retirement plan, he has
stepladder [879]

Answer:

A = $45948

Step-by-step explanation:

Given the following data;

Principal = $8000

Interest rate = 6% = 6/100 = 0.06

Time = 30 years

To find the future value, we would use the compound interest formula;

A = P(1 + \frac{r}{100})^{t}

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

t is the number of years for the compound interest.

Substituting into the equation, we have;

A = 8000(1 + \frac{6}{100})^{30}

A = 8000(1 + 0.06)^{30}

A = 8000(1.06)^{30}

A = 8000(5.7435)

A = $45948

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Answer:

y=4x-5

Step-by-step explanation:

y-y1=m(x-x1)

y-3=4(x-2)

y=4x-8+3

y=4x-5

Please mark me as Brainliest if you're satisfied with the answer.

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