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qwelly [4]
3 years ago
12

If the radius of a circle is increased by a factor of 5, the area increases by a factor of:

Mathematics
1 answer:
Darya [45]3 years ago
7 0

The area will be increased by 25. Option C

Step-by-step explanation:

Given,

The radius of a circle is increased by 5.

To find how much the area will be increased.

Let us take,

The original radius of the circle is = r

The original area = πr²

Again,

After increasing the radius = 5r

Then the area will be = π(5r)² = 25πr²

= 25( original area)

Hence,

The area will be increased by 25.

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How much must be deposited today into the following account in order to have $35,000 in 7 years for a down payment on a​ house?
Rom4ik [11]

Answer:

The amount that must be deposited is $ 19973.87.

Step-by-step explanation:

We have a relation between future value present value as:

                                       F= P (1 +\frac{r}{n}  )^{nt}

F=future value

P=present value

r=rate (as a decimal)

n=number of compounding periods per year

t=number of years

Now,

               assume rate as 8%

                                       35000= P (1+\frac{0.08}{12} )^{12*7}

                                or,   35000= P × 1.0067^{84}

                                      or, P = \frac{35000}{1.7522}

                                     or, P = $ 19973.87

So you must deposit $ 19973.87 today.

7 0
3 years ago
Please help !!!! find the tangent of angle (-)
Troyanec [42]
15/8. Tangent = opposite / adjacent line
8 0
3 years ago
What kind of questions should you ask during an interview
alexdok [17]

Answer:

depends to who ur talking to  

Step-by-step explanation:

have fun in your interview

6 0
3 years ago
Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the cir
FromTheMoon [43]

The statements which are correct about the equation of circle x^{2} +y^{2}-2x-8=0 are 1) The radius of the circle is 3 units,2) The center of the circle lies on the x axis,5) The radius of this circle is the same the radius of the circle whose equation is x^{2} +y^{2} =9.

Given the equation of circle be x^{2} +y^{2}-2x-8=0.

We are required to find the appropriate statements related to the equation x^{2} +y^{2}-2x-8=0.

x^{2} +y^{2}-2x-8=0 can be written as under:

x^{2} +y^{2} -2x+1-9=0

x^{2} +1^{2}-2x+y^{2} -9=0

(x-1)^{2}+y^{2}-9=0

(x-1)^{2} +y^{2} =9

(x-1)^{2}+y^{2}  =3^{2}

Equation of a circle usually in the form x^{2} +y^{2} =a^{2} in which a is radius.

From the comparison of both the equations we get that radius is 3 units.

From the equation point will be (1,0). It is on the x axis.

Hence the statements which are correct about the equation of circle x^{2} +y^{2}-2x-8=0 are 1) The radius of the circle is 3 units,2) The center of the circle lies on the x axis,5) The radius of this circle is the same the radius of the circle whose equation is x^{2} +y^{2} =9.

Learn more about radius at brainly.com/question/24375372

#SPJ1

3 0
1 year ago
Ellen says that 1 2/5 equal 5/7. Is she correct? Explain.
Akimi4 [234]

Answer:

no

Step-by-step explanation:

1 2/5 has a whole and a fraction where as 5/7 only has a fraction

3 0
3 years ago
Read 2 more answers
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