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3 years ago

The diameter of a circle is 24 feet. What

Mathematics

1 answer:

kupik [55]3 years ago

3 0

<h3>Answer: Circumference is approximately 75.36 feet</h3>

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Work Shown:

d = diameter = 24 ft

pi = 3.14 approx

C = circumference of circle

C = pi*d

C = 3.14*24

C = 75.36 feet

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2(a³+b²+11)+1(3+a³+b+11)

Ann [662]

Answer:

$2(a^3+b^2+11)+1(3+a^3+b+11)=3a^3+2b^2+b+36$

Step-by-step explanation:

I assume that you need simplification of the given expression.

The given expression is:

$2(a^3+b^2+11)+1(3+a^3+b+11)$

Using distributive property and multiplying 2 inside the parenthesis and 1 inside the other parenthesis. This gives,

$2(a^3+b^2+11)=2\times a^3+2\times b^2+2\times 11\\2(a^3+b^2+11)=2a^3+2b^2+22\\\\1(3+a^3+b+11)=1\times 3+1\times a^3+1\times b+1\times 11\\1(3+a^3+b+11)=3+a^3+b+11=a^3+b+14$

Therefore, $2(a^3+b^2+11)+1(3+a^3+b+11)$ is equal to:

$2a^3+2b^2+22+a^3+b+14$

Now, combining like terms using the commutative property of addition, we get:

$=(2a^3+a^3)+2b^2+b+(22+14)\\=3a^3+2b^2+b+36$

Therefore, the simplified form is $3a^3+2b^2+b+36$

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3 years ago

What value of z will make △DEF ≅ △JKI

Leto [7]

Answer:

z = 11

Explanation:

5y + 13 = 6y

Subtract 5y by both sides.

13 = y

Next,

z + 22 = 3z

Subtract z by both sides.

22 = 2z

Then, divide both sides by 2.

11 = z

Finally plug those answers into the equations.

5(13) + 13 = 78

6(13) = 78

(11) + 22 = 33

3(11) = 33

So △DEF ≅ △JKI because the value of z = 11.

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