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deff fn [24]
3 years ago
9

The volume of a cylinder with base radius 3 cm and height 6 cm is

Mathematics
1 answer:
Brut [27]3 years ago
8 0

Answer:

<u>54</u> π cubic centimeters

Step-by-step explanation:

Formula for the volume of a cylinder: πr²h

π×3²×6=

9×6×π=

54π cm³

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In ΔNOP, o = 660 inches, p = 510 inches and ∠N=152°. Find the length of n, to the nearest inch.
VikaD [51]

Answer:

1136

Step-by-step explanation:

deltamath

7 0
3 years ago
A line passes through the points (6, 2) and (1, -1). Which is the equation of a line?
Illusion [34]

Answer:

3/5

Step-by-step explanation:

(6, 2) and (1, -1)

To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(-1 - 2) / (1 - 6)

Simplify the parentheses.

= (-3) / (-5)

Simplify the fraction.

= -3/-5

= 3/5

This is your slope.

Hope this helps!

8 0
3 years ago
Look at the rectangle and the square:
Anettt [7]

Ada is <u>incorrect</u>, as the length of diagonal SQ is not two times the length of diagonal OM. The theorem used is the Pythagoras Theorem.

For Rectangle PQRS:-

By Pythagoras Theorem, in right triangle PQS,

SQ² = PQ² + PS²,

or, SQ² = 8² + 16² sq. inches,

or, SQ² = 64 + 256 sq. inches,

or, SQ = √320 sq. inches,

or, SQ = 8√5 inches.

Thus, the length of diagonal SQ, of rectangle PQRS is 8√5 inches.

For Square LMNO:-

By Pythagoras Theorem, in right triangle LMO,

OM² = LM² + LO²,

or, OM² = 8² + 8² sq. inches,

or, OM² = 64 + 64 sq. inches,

or, OM = √128 sq. inches,

or, OM = 8√2 inches.

Thus, the length of diagonal OM, of square LMNO is 8√2 inches.

We know that 2*OM ≠ SQ, as 2*8√2 ≈ 8√5.

Thus, Ada is <u>incorrect</u>, as the length of diagonal SQ is not two times the length of diagonal OM. The theorem used is the Pythagoras Theorem.

Learn more about the diagonal of square and rectangle at

brainly.com/question/22078692

#SPJ4

6 0
2 years ago
Eli invested $9,400 in an account paying an interest rate of 2.3% compounded
Elden [556K]

Amount after 19 years is $14,480 (Rounded off)

Nearest hundred dollars = $14,500

Step-by-step explanation:

Compute compound interest using the following formula: A = P(1 + r/n) ^ nt

A= Total amount value

P = principle amount invested

r = rate of interest

n = numbers of years invested

A = $9,400     r =2.3%   n =19 years

A= 9400 (1+2.3÷19) ^ 19 = $14,480 (Rounded off)

Amount after 19 years is $14,480 (Rounded off)

Nearest hundred dollars = $14,500

4 0
3 years ago
Suppose a railroad rail is 6 kilometers and it expands on a hot day by 10 centimeters in length. Approximately how many meters w
Anvisha [2.4K]
<span>Given that the railroad rail is 6 kilometers before expansion.

When the railroad expands, it makes an isosceles triangle at the center of the rail.

The base of the triangle is 6 kilometers while each leg of the triangle is given by (6 + 10/100,000) / 2 = 6.0001 / 2 = 3.00005 kilometers.
[recall that 100,000 centimeters gives 1 kilometers, thus 10 centimetres gives 10/100,000 kilometers]

Taking one half of the isoceles triangle, we have a right triangle with one of the leg as 6 / 2 = 3 kilometers and the hypothenus = 3.00005 kilometers.

Thus, using the Pythagoras theorem, we find the other leg (height) of the right triangle as follows.

Let the other leg of the right triangle be h, then
3^{2} + h^{2} = 3.00005^{2}  \\  \\ \Rightarrow h^2=3.00005^{2}-3^2 \\  \\ =9.0003000025-9=0.0003000025 \\  \\ \Rightarrow h= \sqrt{0.0003000025} =0.01732058

Thus, the center of the rail will rise 0.01732058 kilometers above the ground.

But, there are 1,000 meters in 1 kilometers, therefore, </span><span><span>the center of the rail will rise 0.01732058 x 1,000 = 17.32 meters above the ground.</span></span>
8 0
3 years ago
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