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Umnica [9.8K]
1 year ago
15

Two different squares have an areas of 36m° and 49m°

Mathematics
1 answer:
sleet_krkn [62]1 year ago
4 0

The difference of the length of two different squares having area of 36 square meters and 49 square meters is 1 m.

According to the question,

We have the following information:

Two different squares have an area of 36 square meters and 49 square meters.

We know that the following formula is used to find the area of square:

Area = side*side

Side*side = 36

Side = √36

Side = 6 m

Now, side of the another square:

Side*side = 49

Side = √49

Side = 7 m

Now, the difference in the length of the sides of these two squares:

7-6

1 m

Hence, the difference of the length of two different squares having area of 36 square meters and 49 square meters is 1 m.

To know more about difference of the length here

brainly.com/question/20750630

#SPJ1

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Cylinders A and B are similar solids. The base of cylinder A has a circumference of 47 units. The base of cylinder B has an
fiasKO [112]
<h3><u>Question:</u></h3>

Cylinders A and B are similar solids. The base of cylinder A has a circumference of 4π units. The base of cylinder B has an area of 9π units.

The dimensions of cylinder A are multiplied by what factor to produce the corresponding dimensions of cylinder B?

<h3><u>Answer:</u></h3>

Dimensions of cylinder A are multiplied by \frac{3}{2}  to produce the corresponding dimensions of cylinder B

<h3><u>Solution:</u></h3>

Cylinders A and B are similar solids.

The base of cylinder A has a circumference of 4 \pi units

The base of cylinder B has an area of 9 \pi units

Let "x" be the required factor

From given question,

Dimensions of cylinder A are multiplied by what factor to produce the corresponding dimensions of cylinder B

Therefore, we can say,

\text{Dimensions of cylinder A} \times x = \text{Dimensions of cylinder B }

<h3><u>Cylinder A:</u></h3>

The circumference of base of cylinder (circle ) is given as:

C = 2 \pi r

Where "r" is the radius of circle

Given that  base of cylinder A has a circumference of 4 \pi units

Therefore,

4 \pi = 2 \pi r\\\\r = 2

Thus the dimension of cylinder A is radius = 2 units

<h3><u>Cylinder B:</u></h3>

The area of base of cylinder (circle) is given as:

A = \pi r^2

Given that,  the base of cylinder B has an area of 9 \pi units

Therefore,

\pi r^2 = 9 \pi\\\\r^2 = 9\\\\r = 3

Thus the dimension of cylinder B is radius = 3 units

\text{Dimensions of cylinder A} \times x = \text{Dimensions of cylinder B }\\\\2 \times x = 3\\\\x = \frac{3}{2}

Thus dimensions of cylinder A are multiplied by \frac{3}{2}  to produce the corresponding dimensions of cylinder B

5 0
3 years ago
Sue planted 4 times as many apple seeds as she planted orange seeds. 15 percent of the apple seeds grew into trees, and 10 perce
tatiyna

Answer: 600

Step-by-step explanation:

Given : Sue planted 4 times as many apple seeds as she planted orange seeds. 15 percent of the apple seeds grew into trees, and 10 percent of the orange seeds grew into trees

Let x be the number of apply seeds and y be the number of orange seeds , the we have the following equations:-

x=4y           (1)

0.15x+0.10y=420            (2)

Put x= 4y in (2), we get

0.15(4y)+0.10y=420

0.60y+0.10y=420

0.70y=420

Divide both sides by 0.70.

y=600

Hence, Sue planted 600 orange seeds.

7 0
3 years ago
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