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2 years ago

15

A vase in the shape of a cylinder has a radius of 4.3 cm and a volume of 1330.2 cm³ what is the height of the base in centimeter

s round to the nearest 10th

1 answer:

SIZIF [17.4K]2 years ago

6 0

Answer:

The height of the base is 22.9 cm

Step-by-step explanation:

Mathematically, we have the volume of a cylinder as;

V = pi * r^2 * h

r = 4.3 cm

h = ?

1330.2 = 22/7 * 4.3^2 * h

h = (1330.2 * 7)/(22 * 4.3^2)

h = 22.90 cm

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Ksju [112]

Step-by-step explanation:

Remember SOH-CAH-TOA:

Sine = Opposite / Hypotenuse

Cosine = Adjacent / Hypotenuse

Tangent = Opposite / Adjacent

The side adjacent to W is 4. The side opposite of W is 3. The hypotenuse is 5.

Therefore:

Sine = 3 / 5

Cosine = 4 / 5

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3 years ago

The sum of the first n consecutive even numbers can be found using S=n2+n, where n≥2. What is the value of n when the sum is 42?

lawyer [7]

Answer:

C. 6

Step-by-step explanation:

<u>Given</u>

S = n² + n
S = 42, n = ?

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Correct option is C

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2 years ago

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Dan buys a car for £2100.

SVETLANKA909090 [29]

Answer:

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Step-by-step explanation:

Given data

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Time t= 6 years

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A= P(1-r)^t

Substitute

A= 2100(1-0.022)^6

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2 years ago

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Answer:

a) Option A)

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Step-by-step explanation:

We are given the following in the question:

Population mean, μ = $1,503

Sample mean, $\bar{x}$ = $1,425

Sample size, n = 25

Sample standard deviation, s = $160

We have to carry a hypothesis test that the mean annual premium in Pennsylvania is lower than the national mean annual premium.

a) First, we design the null and the alternate hypothesis

$H_{0}: \mu \geq 1503\text{ dollars}\\H_A: \mu < 1503\text{ dollars}$

b) Point estimate of the difference between the mean annual premium in Pennsylvania and the national mean

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3 years ago

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maria [59]

Answer:

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