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2 years ago

) What is the Diameter of a circle that has a Radius of 5in?

1 answer:

5 0

The Diameter will be 10in!
The radius is always half of the circles diameter so multiply the radius by 2 and you get your diameter :)

You might be interested in

What is the slope intercept form of y= -2

Mashcka [7]

The slope-intercept form: y = mx + b

(m - slope, b - y-intercept)

We have y = -2. It's the slope intercept form where m = 0 and b = -2.

y = -2 → y = 0x - 2

8 0

3 years ago

Using a graphing utility, find the exact solutions of the system. Round to the nearest hundredth and choose a solution to the sy

Margaret [11]

Answer:

Part 1) The exact solutions are

$(\frac{-1+\sqrt{21}} {2},4+\sqrt{21})$ and $(\frac{-1-\sqrt{21}} {2},4-\sqrt{21})$

Part 2) (1.79, 8.58)

Step-by-step explanation:

we have

$y=x^{2} +3x$ ----> equation A

$y=2x+5$ ----> equation B

we know that

When solving the system of equations by graphing, the solution of the system is the intersection points both graphs

Find the exact solutions of the system

equate equation A and equation B

$x^{2} +3x=2x+5\\x^{2} +3x-2x-5=0\\x^{2} +x-5=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^{2} +x-5=0$

$a=1\\b=1\\c=-5$

substitute in the formula

$x=\frac{-1\pm\sqrt{1^{2}-4(1)(-5)}} {2(1)}$

$x=\frac{-1\pm\sqrt{21}} {2}$

The solutions are

$x_1=\frac{-1+\sqrt{21}} {2}$

$x_2=\frac{-1-\sqrt{21}} {2}$

Find the values of y

First solution

For $x_1=\frac{-1+\sqrt{21}} {2}$

$y=2(\frac{-1+\sqrt{21}} {2})+5$

$y=-1+\sqrt{21}+5\\\\y=4+\sqrt{21}$

The first solution is the point $(\frac{-1+\sqrt{21}} {2},4+\sqrt{21})$

Second solution

For $x_2=\frac{-1-\sqrt{21}} {2}$

$y=2(\frac{-1-\sqrt{21}} {2})+5$

$y=-1-\sqrt{21}+5\\\\y=4-\sqrt{21}$

The second solution is the point $(\frac{-1-\sqrt{21}} {2},4-\sqrt{21})$

Round to the nearest hundredth

First solution

$(\frac{-1+\sqrt{21}} {2},4+\sqrt{21})$ -----> $(1.79,8.58)$

$(\frac{-1-\sqrt{21}} {2},4-\sqrt{21})$ -----> $(-2.79,-0.58)$

see the attached figure to better understand the problem

6 0

3 years ago

The figure is made up of 2 cones and a cylinder. The cones and cylinder have a 4 cm diameter.

Ilya [14]

Answer:

62.84

Step-by-step explanation:

Volume of both cones is approximately 12.57

formula= pi*r^2*h/3

Volume of the cylinder is approximately 37.7

formula= pi*r^2*h

you add the volumes

12.57+12.57+37.7

= 62.84

8 0

3 years ago

PLEASE HELP ASAP!!!

Dafna1 [17]

Answer:

Step-by-step explanation:

Any time you have compounding more than once a year (which is annually), unless we are talking about compounding continuously, you will use the formula

$A(t)=P(1+\frac{r}{n})^{(n)(t)}$

Here's what we have:

The amount after a certain time that she has in the bank is 4672.12; that's A(t).

The interest rate in decimal form is .18; that's r.

The number of times the interest compounds is 12; that's n

and the time that the money is invested is 3.5 years; that's t.

Filling all that into the formula:

$4672.12=P(1+\frac{.18}{12})^{(12)(3.5)}$ Simplifying it down a bit:

$4672.12=P(1.015)^{42}$ Raise 1.015 to the 42nd power to get

4672.12 = P(1.868847115) and divide to get P alone:

P = 2500.00

She invested $2500.00 initially.

6 0

2 years ago

Find the x value 4x-28 9x

andriy [413]

Answer: -5.6

Step-by-step explanation:

Simplifying

(4x + -28) = 9x

Reorder the terms:

(-28 + 4x) = 9x

Remove parenthesis around (-28 + 4x)

-28 + 4x = 9x

Solving

-28 + 4x = 9x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-9x' to each side of the equation.

-28 + 4x + -9x = 9x + -9x

Combine like terms: 4x + -9x = -5x

-28 + -5x = 9x + -9x

Combine like terms: 9x + -9x = 0

-28 + -5x = 0

Add '28' to each side of the equation.

-28 + 28 + -5x = 0 + 28

Combine like terms: -28 + 28 = 0

0 + -5x = 0 + 28

-5x = 0 + 28

Combine like terms: 0 + 28 = 28

-5x = 28

Divide each side by '-5'.

x = -5.6

Simplifying

x = -5.6

5 0

2 years ago

) What is the Diameter of a circle that has a Radius of 5in? ​

) What is the Diameter of a circle that has a Radius of 5in?