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3 years ago

What is the area of a circle that has a radius of 10 inches? Use the formula π r 2

Mathematics

1 answer:

LUCKY_DIMON [66]3 years ago

4 0

Answer:

314in²

Step-by-step explanation:

Given : Radius of the circle r=10 inches

A = 3.14 x 10²

A = 3.14 x 100

A = 314in²

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The fifth graders to plant a butterfly garden. Clover grows in ½ of the garden, daisies in ¼ of the garden, coneflowers in ⅛ of

olchik [2.2K]

Answer:

Fraction of the garden used = $\frac{5}{8}$

Step-by-step explanation:

The fifth graders to plant a butterfly garden.

We are given that

Clover grows in ½ of the garden

Daisies grow in ¼ of the garden

Coneflowers grow in ⅛ of the garden

milkweed grows in ⅛ of the garden

The fifth graders notice that the butterflies land on the clover and milkweed.

We are asked to find out the fraction of the garden that the butterflies used.

Fraction of the garden used = clover + milkweed

Fraction of the garden used = $\frac{1}{2} + \frac{1}{8}$

The LCM of 2 and 8 is 8

Fraction of the garden used = $\frac{4 +1}{8}$

Fraction of the garden used = $\frac{5}{8}$

Therefore, the butterflies used $\frac{5}{8}$ fraction of the garden.

6 0

3 years ago

Explain how to derive the surface area formula of a cylinder: 2πr^2 + 2πrh

Arte-miy333 [17]

The surface area of a cylinder can be found by breaking it down into three parts:

The two circles that make up the ends of the cylinder.
The side of the cylinder, which when "unrolled" is a rectangle
In the figure above, drag the orange dot to the left as far as it will go. You can see that the cylinder is made up of two circular disks and a rectangle that is like the label unrolled off a soup can.

The area of each end disk can be found from the radius r of the circle.
The area of a circle is πr2, so the combined area of the two disks is twice that, or2πr2.
(See Area of a circle).
The area of the rectangle is the width times height.
The width is the height h of the cylinder, and the length is the distance around the end circles. This is the circumference of the circle and is 2πr. Thus the rectangle's area is 2πr × h.
Combining these parts we get the final formula:
area = 2 π r 2 + 2 π r h
where:
π is Pi, approximately 3.142
r is the radius of the cylinder
h height of the cylinder

By factoring 2πr from each term we can simplify this to
area = 2 π r ( r + h )

Hope that helped. Make sure to hit the thanks if it did.. or reply with any help.

4 0

4 years ago

Read 2 more answers

Let f be the following piecewise-defined function. f(x)equals left brace Start 2 By 1 Matrix 1st Row 1st Column x squared plus

Colt1911 [192]

Answer:

the function is continuous but not differentiable in x=3

Step-by-step explanation:

for f(x) defined as

x²+5 for x≤3

3*x+5 for x>3

then for f to be continuous then

when x→a , lim f(x) = f(a)

thus

from the left

when x→3⁻ , lim f(x) = lim x²+5 = 3²+5 = 14

from the right

when x→3⁺ , lim f(x) = lim 3*x+5 = 3*3+5 = 14

and f(3) = 3²+5 = 14

since both limits converge and are equal to f(3), then the function is continuous in 3

Nevertheless, the function is not differentiable in 3 since the curve is not smooth in f(3) ( it has an sharp change in f(3) ) , then the function is not differentiable in x=3

to prove it , when x=3 and

when h→0⁻ , f'(x=3)= lim [f(x+h)-f(x)] /h = lim [(x+h)²+5 - (x² + 5)]/h = lim [2*x*h+h²] /h = lim [2*x+h] = 2*3+0 = 6

when h→0⁺ , f'(x=3)= lim [f(x+h)-f(x)] /h = lim [3*(x+h)+5 - (3*x + 5)]/h = lim [3*h] /h = lim 3 = 3

since the limits do not converge →the limit does not exist → the derivative does not exist → the function is not differentiable in x=3

4 0

4 years ago

Ayo math peeps more help

Tamiku [17]

1) The Third Option

2) The First Option

3) the Fourth Option

7 0

3 years ago

Read 2 more answers

WILL GIVE BRAINLIST SO PLZ HELP

DochEvi [55]

Hello!

D Would be your answer! Because At Midnight, the temperature was -8*f. At noon, 23*F, so

|-8-23| |-3||= 31 There you go! May I have Brainliest?

4 0

4 years ago