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2 years ago

Convert the given angle measure from degrees to radians: 300°.

Mathematics

1 answer:

krek1111 [17]2 years ago

6 0

Answer:

$\frac 53 \pi$

Step-by-step explanation:

Simple formula: $\frac \alpha {\alpha°} =\frac \pi {180°}$ where $\alpha$ is the angle in radians, and $\alpha°$ is the angle in degrees. By plugging numbers you'll get the result.

Another way to get the result, which I like more, is to think of it in parts of the whole circle. 300° is 5/6 of a circle, and a circle measures $2\pi$ Hence, you want 5/6 of $2\pi$ , or $\frac 53 \pi$

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Question in the image

dalvyx [7]

The exact surface area is 150.8 and the exact volume is 141.37.

To answer this I used the formula for surface are for a right cylinder which is. 2•3.14•r•h+2•3.14•r^2 (^2 means to the power of 2) r=radius and h=height. When you replace the r’s and the h’s with the radius and height it’ll look like this. 2•3.14•3•5+2•3.14•3^2. For the power of 2 (^2) we basically just do 3•3. But when you put that into a calculator it gives you 150.8.

To find the volume use the formula 3.14•r^2•h when you replace the r’s and the h’s with the height and the radius it’ll look like this. 3.14•3^2•5. When put into the calculator it gives you 141.37.

7 0

2 years ago

If you borrow $200 for 12 years at

ra1l [238]

Answer:

Here is your answer:

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

PLEASE HELP! Identify the rule for the function table.

fgiga [73]

Hello!

You have to find what the rule is

12/24 = 0.5
6/12 = 0.5
-6/-12= 0.5

They multiply x by 0.5

the rule is multiply x by 0.5 or y = 0.5x

Hope this helps!

4 0

3 years ago

Jaime makes the following claim.

Sphinxa [80]

Jaime is incorrect, the angle does not depend on the radius of the circles.

<h3>Is Jaime correct?</h3>

Remember that an angle that defines an arc on a circle, does not depend on the radius of the circle.

So, if we have an angle with a measure of π/3 radians in a circle with a radius of 3 inches and an angle with a measure of π/3 radians in a circle with a radius of 6 inches, these two angles are exactly the same thing.

The radius of the circle only has an impact on the length of the arc defined by the angle.

So Jaime is clearly incorrect.

If you want to learn more about angles:

brainly.com/question/17972372

#SPJ1

7 0

2 years ago

jenna's rectangular garden borders a wall. she buys 80 ft of fencing. what are the dimensions of the garden that will maximize i

FrozenT [24]

Answer:

The dimensions are x =20 and y=20 of the garden that will maximize its area is 400

Step-by-step explanation:

Step 1:-

let 'x' be the length and the 'y' be the width of the rectangle

given Jenna's buys 80ft of fencing of rectangle so the perimeter of the rectangle is 2(x +y) = 80

x + y =40

y = 40 -x

now the area of the rectangle A = length X width

A = x y

substitute 'y' value in above A = x (40 - x)

A = 40 x - x^2 .....(1)

Step :2

now differentiating equation (1) with respective to 'x'

$\frac{dA}{dx} = 40 -2x$ ........(2)

Find the dimensions

$\frac{dA}{dx} = 0$

40 - 2x =0

40 = 2x

x = 20

and y = 40 - x = 40 -20 =20

The dimensions are x =20 and y=20

length = 20 and breadth = 20

Step 3:-

we have to find maximum area

Again differentiating equation (2) with respective to 'x' we get

$\frac{d^2A}{dx^2} = -2$

Now the maximum area A = x y at x =20 and y=20

A = 20 X 20 = 400

Conclusion:-

The dimensions are x =20 and y=20 of the garden that will maximize its area is 400

verification:-

The perimeter = 2(x +y) =80

2(20 +20) =80

2(40) =80

80 =80

8 0

3 years ago