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kenny6666 [7]
2 years ago
13

Express 29 and 37 as the sum of two squares.

Mathematics
1 answer:
kotykmax [81]2 years ago
3 0

Answer:

See below

Step-by-step explanation:

{5}^{2}  +  {2}^{2}  = 25 + 4 = 29 \\  \\  {6}^{2} + {1}^{2}  = 36 + 1 = 37

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The cylinders are similar the volume of the larger cylinder is 1600 cubic centimeters what is the volume of the smaller cylinder
cestrela7 [59]

We are given Volume of the larger cylinder is = 1600 cubic centimeters.

Height of the larger cylinder = 16 cm.

We know formula of volume of a cylinder V=\pi r^2h, where r is the radius of cylinder,  h is the height of the cylinder.

Plugging value of V and h of larger cylinder, we get

1600=\pi r^2(16).

Dividing both sides by 16, we get

\frac{1600}{16}=\frac{\pi r^2 (16)}{16}

r^2=100

Taking square root on both sides, we get

r=10.

Therefore, radius of the larger cylinder is 10 cm.

We are given cylinders are similar .

<u>Note: The radii and heights of similiar cylinders are in same ratio.</u>

Therefore, we can setup a proportion:

Let us take radius of small cylinder is x.

\frac{x}{10}=\frac{4}{16}

\frac{x}{10}=\frac{1}{4}

Multiplying both sides by 10, we get

10 \times \frac{x}{10}=10 \times\frac{1}{4}

x=2.50.

Therefore, radius of the small cylinder = 2.5 cm.

Now, plugging radius =2.5 and height  = 4 in the formula of volume the cylinder, we get

V=\pi (2.5)^2(4)=\pi (6.25)(4) =25 \pi \ cm^3.

Therefore, correct option is 25 pi cm^3.

8 0
2 years ago
which of the following temperatures is most precise? A) 45 degrees. B) 89.7 degrees. C) 80 degrees. D) 32.45 degrees
xxTIMURxx [149]
32.45 is most precise . Precise means how many points after decimal is reached. Accurate means how close your measurement of a value is that to the true value. Eg :Say 35cm is the measure of length of a body and a person got the measurement to be 34 . Another person2 got the measurement to be 32.88 . So in this case the first person has an accurate answer as he is close to the true value 35 , but person2 is more precise as he has two decimal places.
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3 years ago
A circular picture is 8 inches in diameter.
velikii [3]

The formula of an area of a circle with radius r:


A=\pi r^2


Part A.

We have diameter of the circle d = 8 in. The diameter of a circle is equal two times length of a radius.

Therefore:


r=\dfrac{d}{2}\to r=\dfrac{8}{2}=4\ in


Calculate the area:


A=\pi\cdot4^2=16\pi\ in^2


Answer: C. 16π square inches.


Part 2.

Look at the picture.


Total area:


A=\pi\cdot6^2=36\pi\ in^2


Answer: C. 36π square inches

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Please help!!! 20 POINTS!!
Sedbober [7]

Answer:

it would be 9 by 6

Step-by-steit would be 9 by 6p explanation:

it would be 9 by 6

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3 years ago
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