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2 years ago

6

If the radius of a sphere is increased by 5 cm so that the area of the sphere obtained is increased by 400pi square cm. What was

the radius before the increase

1 answer:

Sliva [168]2 years ago

8 0

Answer:

The answer is 314cm²

the formula for the sphere area of a sphere is:

A= 4TT²

A = 4x3.14x5²

first solve for exponents

A = 4x 3.14x25

then multiply

A = 314cm²

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Irina18 [472]

20.5/3.25 = 6.3
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3 years ago

4 less than half a number is equal to 2 more than the number

xxMikexx [17]

Answer:

$-12$

Step-by-step explanation:

Let that number be $x$ . We can build an equation, and solve for $x$ .

$4$ less than half of $x$ is $x/2-4$ .

$2$ more than $x$ is $x+2$ .

We are given that the two quantities are equal, so we have that $x/2-4=x+2$ .

Adding $4$ to both sides gives $x/2=x+6$ .

Multiplying both sides by $2$ gives $x=2(x+6)=2x+12$ .

Subtracting $2x$ from both sides gives $-x=12$ .

Multiplying both sides by $-1$ gives $x=-12$ .

So, the number is $\boxed{-12}$ and we're done!

The check is left as an exercise to the reader.

3 0

2 years ago

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OLEGan [10]

Answer:

two

Step-by-step explanation:

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4 0

2 years ago

Read 2 more answers

3(2x) + 3(-1) = -21 <br><br>6x - 3 = -21<br> What property is being used ?

kaheart [24]

Distributive property, since 3(2x) you distribute and get 6x

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2 years ago

Solve for the roots in simplest form using the quadratic formula:<br> 4x2 + 4x = -5

weqwewe [10]

Answer:

Step-by-step explanation:

Move all terms to one side

4x^2 + 4x + 5 = 0

Plug into quadratic formula

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At this point, there are no real answers. The roots to this equation are complex.

x = (-4 <u>+</u> 8i)/8

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6 0

2 years ago