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USPshnik [31]
3 years ago
12

Find the circumference and area of a circle A with a diameter of 26 inches.

Mathematics
1 answer:
makkiz [27]3 years ago
5 0

Answer:

Circumference: 81.681 in; Area: 530.929 in

Step-by-step explanation:

To find circumference we use the formula pi x diameter. Which in this case is pi x 26 in, or approximately 81.681 in.

For the area, we use pi x r^2. r = 1/2 d, so r = 13in. Therefore, the area is equal to 169 x pi in, which is about 530.929 in.

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A company makes candles in the shape of a right cone. The lateral surface of each candle is covered with
julia-pushkina [17]

Answer:

The amount of paper needed = 363.3 in²

Total amount of paper and plastic needed = 564.3 in

Step-by-step explanation:

As the diagram isn't given.

Consider a right cone shown in the ATTACHMENT.

where

r = 8 in

h = 12 in

First find the value of hypotenuse s by using Pythagoras theorem

<h3>Find Lateral Area:</h3>

The amount of paper needed to cover the candle is lateral area, which is given by:

L=\pi\cdot{r}\cdot{s}\\L =\pi\cdot8\cdot14.422\\L=363.3in^2\\

<h3>Find Surface Area:</h3>

Total amount of paper and plastic is the surface area:

S=L+\pi{r}^2\\S=363.3+\pi(8)^2\\S=564.26in^2

S=564.3in^2

7 0
3 years ago
Show your work please
Butoxors [25]

Answer: No solution

Step-by-step explanation:

Perimeter= 2(length) + 2(width)

If they have the same perimeter than we can write their values as an equation like this:

2(10) + 2x = 2(6) + 2(x + 3)

20 + 2x = 12 + 2(x+3)

DISTRIBUTE THE 2 TO THE X AND THE 3

20 + 2x = 12 + 2x + 6

COMBINE LIKE TERMS

20 + 2x = 18 + 2x

SUBTRACT 2X FROM BOTH SIDES

20 = 18

<u>THE EQUATION HAS NO SOLUTION, AND YOU ARE CORRECT</u>

6 0
3 years ago
Rewrite the expression without using grouping symbols.
labwork [276]
C because U subtract
8 0
3 years ago
Read 2 more answers
(CO 3) A survey indicates that shoppers spend an average of 22 minutes with a standard deviation of 8 minutes in your store and
padilas [110]

Answer: 0.60

Step-by-step explanation:

Given: Mean : \mu = 22\text{ minutes}

Standard deviation : \sigma = 8\text{ minutes}

The formula to calculate z is given by :-

z=\dfrac{x-\mu}{\sigma}

For x= 20 minutes

z=\dfrac{22-20}{8}=0.25

The P Value =P(z

Hence, the probability that a randomly selected shopper will spend less than 20 minutes in the store= 0.60

5 0
3 years ago
 Can you solve 2^x=e^(x+2)
mina [271]
<u>Answer:</u> Yes, I can.


Although you haven't asked for the solution, here it is anyway:

2^x = e^(x+2)

x ln(2) = x+2

x ln(2) - x = 2

x [ ln(2) - 1 ] = 2

x = 2 / [ ln(2) - 1 ]

x = 2 / -0.3069... =<u> - 6.518</u>... (rounded) 

8 0
3 years ago
Read 2 more answers
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