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Komok [63]
3 years ago
10

Logan is flying a kite that is made yo if three similar rectangles. The sides of the three rectangles are in the ratio 1:2:3. If

the area of the smallest rectangle is 72 square inches, what are the areas of the other two rectangles?
Mathematics
1 answer:
Ad libitum [116K]3 years ago
4 0
To solve the question we need to note that:
area scale factor=(linear scale factor)^2
linear scale factor=1:2:3
Area scale factor=1^2:2^2:3^2=1:4:9

Hence, given that the area of the smallest triangle is 72 sq. inches, the area of:
medium triangle will be:
4/1*72=288 sq. inches

largest triangle will be:
9/1*72=649 sq. inches

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A number plus 1/3 of the number can be expressed as:
nirvana33 [79]

Answer:

n+n/3

Step-by-step explanation:

n+1/3 n=n+n/3=4n/3

Please mark as Brainliest! :)

Have a nice day.

6 0
3 years ago
A circle is circumscribed around a square and another circle is inscribed in the square. If the area of the square is 9 in2, wha
lesantik [10]

Answer:

√2:1

Step-by-step explanation:

First we need to know that the length of the side of the square is equal to the diameter of the inscribed circle i.e

L = di

Given the area of the square to be 9in², we can get the length of the square.

Area of a square = L²

L is the length of the square.

9 = L²

L = √9

L = 3in

Hence the length of one side of the square is 3in

This means that the diameter of the inscribed circle di is also 3in.

Circumference of a circle = π×diameter of the circle(di)

Circumference of inscribed circle = π×3

= 3π in

For the circumscribed circumscribed circle, diameter of the outer circle will be equivalent to the diagonal of the square.

To get the diagonal d0, we will apply the Pythagoras theorem.

d0² = L²+L²

d0² = 3²+3²

d0² = 9+9

d0² = 18

d0 = √18

d0 = √9×√2

d0 = 3√2 in

Hence the diameter of the circumscribed circle (d0) is 3√2 in

Circumference of the circumscribed circle = πd0

= π(3√2)

= 3√2 π in

Hence, ratio of the circumference of the circumscribed circle to the one of the inscribed will be 3√2 π/3π = √2:1

8 0
3 years ago
What is 18 x 9.24 step by step?
Tanzania [10]

Answer: 166.32

Step-by-step explanation: multiply 18 by 9 first. (162) then multiply the decimal numbers. Then at that to the previous product.

7 0
2 years ago
Ms. Zab gave a group of 5 students a total of 18.75 liters of water for a science experiment. If each student in the group used
wlad13 [49]

Answer: The quantity of the water received by each student = 3.75 liters.

Step-by-step explanation:

Given: Total water = 18.75 liters

Total students =5

If each student in the group used the same amount of water for their experiment, then the quantity of the water received by each student = \dfrac{\text{Total quantity}}{\text{Total students}}

=\dfrac{18.75}{5}\\\\=3.75\ liters

The quantity of the water received by each student = 3.75 liters.

4 0
3 years ago
What is the measure of ABC?<br><br> A 44°<br> B 88°<br> C 176°<br> D 92°
Lera25 [3.4K]

Answer: C) 44 degrees

Step-by-step explanation:

44

6 0
3 years ago
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