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saul85 [17]
3 years ago
10

Simplify the following expression:

Mathematics
1 answer:
kipiarov [429]3 years ago
8 0

Answer:

The answer is 3

Step-by-step explanation:

5^2=25-4=21

5+2=7

21 divided by 7 equals 3.

If you are not looking for the answer, the simplified expression would be 21/7

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An octagonal swimming pool has a base area of 22 square feet The pool is 3 feet deep How many cubic feet of water can the pool h
LenKa [72]

The pool can hold 65.84 ft³ of water

<u>Explanation:</u>

Given:

Shape of pool = octagonal

Base area of the pool = 22 ft²

Depth of the pool = 3 feet

Volume, V = ?

We know:

Area of octagon = 2 ( 1 + √2) a²

22 ft² = 2 ( 1 + √2 ) a²

\frac{11}{1+\sqrt{2} } = a^2

a² = \frac{11}{2.42}

a² = 4.55

a = 2.132 ft

Side length of the octagon is 2.132 ft

We know:

Volume of octagon = 2(1+\sqrt{2} ) X (a)^2 X h

V = 2(1+\sqrt{2})X (2.132)^2 X 3\\ \\V = 2 ( 2.414) X 4.5454 X 3\\\\V = 65.84 ft^3

Therefore, the pool can hold 65.84 ft³ of water

8 0
3 years ago
Choose the polynomial written in standard form.
Semenov [28]

Answer:

x^4 + 4x^3 + 10x

Step-by-step explanation:

A polynomial written in decreasing order of the degree of its monomials ( or single term ) is called its standard form,

In polynomial,

x^2 + 4x^4 + 10x^6,

Degrees are written in increasing order,

⇒ It is not written in standard form,

In polynomial,

x^4 + 4x^3 + 10x,

Degrees are written in decreasing order,

⇒ It is written in standard form,

In polynomial,

x^7 + 4x^3 + 10x^4,

There is no order of degrees,

⇒ It is not written in standard form,

In polynomial,

x^6 + 4x^3 + 10x^7,

There is no order of degrees,

⇒ It is not written in standard form,

4 0
3 years ago
Read 2 more answers
Which of the following is a result of shifting a circle with equation (x + 3)² + (y - 2)² = 36 left 3 units?
Furkat [3]
A circle with equation:
( x + 3 )² + ( y - 2 )² = 36
Center of a circle: C ( - 3, 2 )
r = 6 ( the radius of a circle stays the same )
After shifting 3 units left : C 1 ( - 6, 2 ).
Answer:
( x + 6 )² + ( y - 2 )² = 36 
5 0
3 years ago
Read 2 more answers
If P is a point of symmetry, click on the graphic to find the figure that is symmetrical by P.
aleksklad [387]

Answer:

The third figure is the answer (Look to the attached figure

Step-by-step explanation:

* The point of symmetry means

- If a figure or graph can be rotated 180° about a point P

 and end up looking identical to the original, then P is a point

 of symmetry

- The same distance from the central point

  but in the opposite direction.

* Lets look to the four answers

- In the 3rd figure first line up can be rotated 180° about a point P

 and end up looking identical to the second line down, then P

 is a point of symmetry

- The same distance from the point  p

  but in the opposite direction.

* The figure show the answer

8 0
3 years ago
Read 2 more answers
What is the cost of the 2 nonfiction books in terms of y
WARRIOR [948]

Answer: I dont know

Step-by-step explanation:

I rlly dont know

5 0
2 years ago
Read 2 more answers
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