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Evgesh-ka [11]
3 years ago
6

When you square each side of an equation, is the resulting equation equivalent to the original?

Mathematics
1 answer:
Marina CMI [18]3 years ago
4 0
It is not equivalent to the original
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Val needs to find the area enclosed by the figure. The figure is made by attaching semicircles to each side of a 42-m-42-m squar
oee [108]

The area enclosed by the figure is 4533.48 square meters.

<u>Step-by-step explanation:</u>

Side length of the square = 42m

The semicircle is attached to each side of the square. So the diameter of the semicircle is the length of the square.

Radius of the semicircle = 21m

Area of the square = 42 x 42 = 1764 square meters

Area of 1 semicircle = π(21 x 21) /2

= (3.14) (441) /2

= 1384.74/2

= 692.37 square meters

Area of 4 semicircle = 4 x 692.37

= 2769.48 square meters

Total area = 1764 + 2769.48

= 4533.48 square meters

The area enclosed by the figure is 4533.48 square meters.

7 0
3 years ago
Write an equation for the proportional relationship shown in the table
Papessa [141]

Answer:

y =74x

Step-by-step explanation:

A proportional relationship is represented by y = kx where x is the independent variable, or input, k is the constant of proportionality, and y is the dependent variable or output.

What do we do to the values in the row for x to get the values in the row of y?

It helps to have x = 1 in this table.

74 = (k)(1)

74 = k

8 0
3 years ago
PLEASE HELP
k0ka [10]

Answer:

1 = 0.2

2 = 32

3 = 0.33...

4 = 64

5 = 10,000

6 = 7

8 0
3 years ago
two crates contain Apple's, pears and oranges. there are 184 apples and pears in crate one and 248 apples and oranges in the sec
Ray Of Light [21]

Answer: There are 152 apples.

The explanation is shown below:

- You need to write the following three equations, where a is the the number of apples, p is the number of pears and o is the number of oranges:

1) a+p=184

2) a+o=248

3) o=3p

-  You must substitute the equation 3) into the equation 2):

 a+3p=248

- Now, you need to solve for p in the equation 1) and then you must substitute it into a+3p=248:

p=184-a

a+3(184-a)=248

- Solve for a, as following:

a+552-3a=248\\-2a=-304\\a=\frac{-304}{-2}\\a=152

- Therefore, there are 152 apples.

7 0
3 years ago
jill traveled to the ferry office and back. the trip there took 5 hours and the trip back took 4 hours. she averaged 65 mph on t
antoniya [11.8K]

We know from physics class that the formula for distance of a linear motion is given as:

d = v t

Where,

d = distance travelled

v = average velocity

t = time it took to reach the destination

Since the distance going to the office and back is just similar, therefore we can simply equate the two:

v1 t1 = v2 t2

Where 1 signifies going to the office and 2 signifies going back from the office. Therefore this yields to:

v1 * 5 hours = 65 mph * 4 hours

v1 = 52 mph

 

<span>Answer: The average speed going to the office is 52 mph.</span>

4 0
3 years ago
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