Describe the difference between an exact value and an approximation when finding square roots of numbers that are not perfect squares. Give an example of each.

Answers

Answer 1
Answer: Well, exact value is the real answer like there is not a remaining number. Approximation on the other hand is just an estimate or where the answer might be close to. Example can be square root of 25 is 5, but square root of 26 is 5 point something.
Answer 2
Answer:

Final answer:

An exact value in square roots is the precise numerical value. It's typically computed from perfect squares. On the other hand, an approximation is given when dealing with numbers that aren't perfect squares and a precise square root cannot be calculated.

Explanation:

In mathematics, the terms exact value and approximation are often used when dealing with the concept of square roots and particularly, perfect squares.

An exact value is the precise numerical value of a square root. It's typically associated with perfect squares, as these can be exactly square rooted to a whole number. For instance, the square root of 25 (√25) is exactly 5 because 5*5 equals to 25.

On the other hand, an approximation is used when dealing with numbers that aren't perfect squares, and an exact square root cannot be found. For example, the square root of 10 (√10) cannot be expressed precisely as a whole or even as a simple fraction, so it is approximately 3.16.

It's important to understand the differencebetween these two concepts, especially when solving different mathematical problems.

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It took Joe 3 hours swimming at a speed of 12 miles per hour to swim along the Charles River. If Jennifer is swimming the same path along the Charles River at a speed of 9 miles per hour, how long will it take her to complete her swim?

The glass is filled 2 inches from the top how many cubic inches of water is inside the glass Round the answer to the nearest 10th
The hight Of the cylinder is 12in and radius is 6in

Answers

Answer:

1,130.40\ in^3

Step-by-step explanation:

we know that

The volume of the cylinder (glass) is equal to

V=\pi r^(2)h

where

r is the radius of the base of cylinder

h is the height of the cylinder

we have

r=6\ in

h=12-2=10\ in ---> height of the water in the glass

assume

\pi =3.14

substitute

V=(3.14)(6)^(2)(10)

V=1,130.40\ in^3

you have 20 cookies with the ratio is 2 chocolate chip for every 3 sugar. how many sugar cookies do you have?

Answers

Total number of parts:
2+3=5.

Each part is:
20 cookies/ 5 parts= 4 cookies/part.

Number of chocolate cookies is:
4 cookies/part* 2 parts= 8 cookies.

Number of sugar cookies is:
4 cookies/part* 3 parts= 12 cookies.

There are 8 chocolate cookies and 12 sugar cookies~
sugar     3 6 9 12
cc          2 4 6 8

12+8=20        12 sugar cookies    (just make a table) :)

hope it helped

Use the substitution method to solve the system of equations. Choose thecorrect ordered pair.
2x + y = 8
y = -x+ 5

O A. (4,1)
O B. (3, 2)
O C. (5,0)
O D. (2,3)

Answers

B clearly because u would substitute the x and y with the ordered pairs

Yucca Manor has sunny days for 80% of the year if there are 365 days in a normal year how many sunny days are there each year in Yucca Manor

Answers

292 days of the year would be sunny

PLEASE HELP!!!! This table gives information on serving sizes of a variety of sodas sold in a day in a cafeteria.

            Orange   Cola    Lemon
Small       51         66          57
Medium  37         56         48
Large       9           17          6



What percentage of orange sodas sold are small, and what percentage of large servings sold are colas? Round your answers to the nearest whole number.
A. 29% of orange sodas sold are small, and 12% of large servings sold are colas.
B. 12% of orange sodas sold are small, and 53% of large servings sold are colas.
C. 53% of orange sodas sold are small, and 53% of large servings sold are colas.
D. 29% of orange sodas sold are small, and 53% of large servings sold are colas.
E. 53% of orange sodas sold are small, and 12% of large servings sold are colas.

Answers

total: 51 + 66 + 57 + 37 + 56 + 48 + 9 + 17 + 6 =347

Orange: 51 + 37 +9 = 97
cola: 66 +56 +17 = 139
Lemon: 57 + 48 + 6= 111

small: 51 +66 +57 = 174
medium: 37 + 56 +48 = 141
large: 9 +17 +6 = 32

percents of orange sodas are small: 51 / 97 = 0.526 = 53%
large servings are cola: 17 / 32 = 0.536 = 53%
 Answer is C

53 percentage of orange sodas sold are small , and 53 percentage of large serving sold are colas.

What is percentage?

"Percentage is a number which represents the fraction of a number as its hundredth part."

Formula used

Percentage(%)  = ( Value / Total value) × 100

According to the question,

As given in the table,

Total number Oranges soda = 51 + 37 + 9

                                 = 97

Number of Small Oranges soda = 51

Substitute the value in the formula we get,

Percentage of orange sodas sold are small= (51 / 97) × 100

                                                                     = 52.57%

                                                                     = 53% (nearest whole number)

Total number of large sodas = 9 + 17 + 6

                                               = 32

Number of large sodas are Cola = 17

Percentage of large  sold sodas are colas = (17 / 32) × 100

                                                                     = 53.125%

                                                                    = 53% (nearest whole number)

Hence, Option(C) is the correct answer.

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Marisol bought three pairs of shoes that cost $38 each if the tax rate was 8% how much did marisol pay ?

Answers

3 x $38 = $114
0.08 x $114 = $9.12
$114 + $9.12 = $123.12
Happy to Help!
Total cose 
3(38)
=114
tax is 8% so 114+114(0.08)
=114+9.12
=123.12