Which expression is equivalent to (x4)^9

An arc of a circle measures 2.4 radians. To the nearest degree, what is the measure, in degrees, of this arc

Anuta_ua [19.1K]

The measure of given arc of circle 2.4 radians in degrees is 137.57.

According to the given question.

Arc of a circle = 2.4 radians

We have to fin dthe arc of the circle in degrees.

As,

π radians = 180 degrees

⇒1 radians = 180/π

So, to convert the radians to degrees we have to multiply the given quantity with 180/π.

Therefore, the measure of given arc of circle 2.4 radians in degrees is given by

2.4 × 180/π

= 2.4 × 180/3.14

= 0.76 × 180

= 137.57 degrees

Hence, the measure of given arc of circle 2.4 radians in degrees is 137.57.

Find out more information about how to convert radians in degrees here:

brainly.com/question/11236954

#SPJ4

6 0

1 year ago

Finding the Vertex What is the vertex of the quadratic function f(x) = (x – 8)(x – 2)? (,)

Rama09 [41]

Answer:

(5, -9)

Step-by-step explanation:

Let's multiply the function out:

f(x) = (x-8)(x-2)

$f(x)=x^2-2x-8x+16\\f(x)=x^2-10x+16$

The vertex is (h, k), where

h = -b/2a

and

k is plugging in h into the equation

a is the number before the x^2 term, hence a = 1
b is the number before x term, hence b = -10
c is the constant , hence c = 16

Plugging these into the formula for h, we get:

$h=-\frac{b}{2a}\\=-\frac{-10}{2(1)}\\=5$

Now pluggin in 5 into the equation we get:

$x^2-10x+16\\(5)^2-10(5)+16\\=-9$

Hence, vertex is (5, -9)

5 0

3 years ago

Read 2 more answers

For a school fund raising project, Aiden and Jacob collected money in the ratio of 3.5 : 6.8. Jacob collected $115.50 more than

user100 [1]

X - the amount of money collected by Aiden
y - the amount of money collected by Jacob

Aiden and Jacob collected money in the ratio of 3.5 : 6.8.
$\frac{x}{y}=\frac{3.5}{6.8} \\
6.8x=3.5y \\
x=\frac{3.5}{6.8}y \\ x=\frac{35}{68}y$

Jacob collected $115.50 more than Aiden.
$x+115.5=y \\
x=y-115.5 \\ \\
x=x \\
\frac{35}{68}y=y-115.5 \\
\frac{35}{68}y-y=-115.5 \\
\frac{35}{68}y-\frac{68}{68}y=-115.5 \\
-\frac{33}{68}y=-115.5 \\
y=-115.5 \times (-\frac{68}{33}) \\
y=238 \\ \\
x=y-115.5=238-115.5=122.5 \\ \\
x+y=238+122.5=360.5$

The total amount of money they collected is $360.50.

6 0

4 years ago

an air conditioning system can circulate 360, cubic feet of air per minute. how many cubic yards of air can it circulate per min

ahrayia [7]

Alright, lets get started.

3 feet = 1 yard

If we cube both sides of the equation, we will get the conversion into cubic yards

So,

$3*3*3 cubic feet = 1 * 1*1 cubic yards$

27 cubic feet = 1 cubic yards

So, 1 cubic feet = $\frac{1}{27}$ cubic yards

So, 360 cubic feet = $360 *\frac{1}{27}$ cubic yards

So, 360 cubic feet = 13.33 cubic yards

13.33 cubic yards of air can it circulate per minute. : Answer

Hope it will help :)

3 0

3 years ago

Read 2 more answers

the Johnsons want to cover their backyard with new grass their backyard is rectangular with a length of 3x - 2 feet and a width

Andre45 [30]

<h2>Hello!</h2>

The answer is:

The area that the want to cover with new grass will be:

$Area_{grass}=8x^{2} -12x-22$

If we want to calculate what is the ara of the region of the backyard that they want to cover with new grass, we need to calculate the area of the backyard, calculate the area of the swimming pool and its patio, and the last step is to subtract the area of the swimming pool and its patio to the total area of the backyard.

So, to calculate the areas, we need to use the following formula:

$Area=Length*Width$

Also, we need to remember how the distributive property works, since we are going to need it.

We have that:

$(a+b)(c+d)=ac+ad+bc+bd$

We are given the following information:

For the backyard we have:

$Length=3x-2\\Width=3x+1$

For the swimming pool and its patio:

Since there it's not mentioned, let be the first expression the length, and the second one, the width.

$Length=x+4\\Width=x+5$

Then, calculating we have:

Backyard:

$Area_{backyard}=(3x-2)*(3x+1)=9x^{2}+3x-6x-2=9x^{2}-3x-2$

Swimming pool and patio:

$Area_{swimmingpool}=(x+4)*(x+5)=x^{2}+5x+4x+20=x^{2}+9x+20$

Now, calculating the area that they want to cover with new grass, we have:

$Area_{grass}=Area_{backyard}-Area_{swimmingPool}\\\\Area_{grass}=(9x^{2}-3x-2)-(x^{2}+9x+20)\\\\Area_{grass}=9x^{2} -x^{2} -3x-9x-2-20\\\\Area_{grass}=8x^{2} -12x-22$

Hence, we have that the area that the want to cover with new grass will be:

$Area_{grass}=8x^{2} -12x-22$

Have a nice day!

3 0

3 years ago