Twice the difference of a number and 5 is equal to three times the sum of the number and 8

A circle is increased to have a circumference that is 4 times larger than the original. Which of the following options best desc

kogti [31]

Area of a circle is directly proportional to the square of radius of the circle while the circumference is proportional to the radius of the circle. This means that if the radius of a circle is increased x times, then its area will be increased to x^2 times the original area, and the circumference will increase to x times the original circumference.

Thus when the radius is doubled, or in other words if radius mad 2 time the original radius, the area of circle will become 2^2 = 4 time the original area. The circumference will become 2 times the original circumference.

We can calculate exact area and circumference of a circle from its radius using the following equations:

Area of circle = (pi/4)*r^2

Circumference of circle = 2*pi*r

Where r is the radius of the circle.

I know this is a lot, sorry.

3 0

2 years ago

The area of the base b is the area of a square with sides of length 230 m. so, v =

goldfiish [28.3K]

Not completely sure what you are asking, but the area of a square with the side lengths of 230m would be 230*230=52,900.

4 0

2 years ago

A standard showerhead in Reyna's house dispenses 9 gallons of water per minute. Reyna changed this showerhead to an energy-savin

yarga [219]

48 gallons... since the first shower head gives 9 gallons per minute you multiply 9 by 8 then you use the equation and multiply 3 by 8 then you subtract the two shower heads

7 0

2 years ago

What is 2/5 v + 3/4 = 2/3x² as a sentence

Bond [772]

The representation of the equation given in the task content; 2/5 v + 3/4 = 2/3x² as a s sentence is; The sum of Two-fifths of a number, v and quarters is equal to two-thirds of the square of the number x.

<h3>What is the representation of the equation as given in the task content?</h3>

It follows from the convention that the following fractions can be named as follows;

2/5 means two-fifths.
3/4 means three-quarters.
2/3 means two-thirds.

Hence, it follows from the iterations above and how they relate to the equation given in the task content that the representation is; The sum of Two-fifths of a number, v and quarters is equal to two-thirds of the square of the number x.

Read more on equations as words;

brainly.com/question/21405634

#SPJ1

8 0

1 year ago

Kamran wins the big game lottery. He invests part of his winnings in treasury bonds promising a 5% annual return and he deposits

Ostrovityanka [42]

Answer:

Amount won by Kamran = $21,450

Step-by-step explanation:

This can be calculated using the following 3 steps:

Step 1: Calculation of the amount invested in treasury bonds

Since the limit to the duration of investment is not stated, the amount invested can be calculated using the formula for calculating the present value of a perpetuity as follows:

PV = P / r …………………………………. (1)

Where;

PV = Present value or the amount invested treasury bonds = ?

P = Annual return on his investments = $661.25

r = Annual rate of return = 5%, or 0.05

Substitute the values into equation (1), we have:

PV = $661.25 / 0.05 = $13,225

Step 2: Calculation of the amount deposited in the money market account

From Step 1 above, we have:

Amount invested treasury bonds = $13,225

Since he invests $5000 more in treasury bonds than he deposits in the money market account, the amount deposited in the money market account can be calculated as follows:

Amount deposited in the money market account = Amount invested treasury bonds - $5,000 = $13,225 - $5,000 = $8,225

Step 3: Calculation of the amount won by Kamran

Amount won by Kamran = Amount invested treasury bonds + Amount deposited in the money market account = $13,225 + $8,225 = $21,450

7 0

2 years ago