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Alex Ar [27]
3 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
Mathematics
1 answer:
SIZIF [17.4K]3 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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Complete the equation. (x-2)(x^2 + 2x + 4) = ( , )
yanalaym [24]

Answer:

Step-by-step explanation:

x(x² + 2x + 4)-2((x² + 2x + 4)

x³+2x²+4x -2x²-4x-8

x³-8

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2 years ago
how to use the explicit formula an=a1+(n-1)d to find the 500th term of the sequence 24,30,36,42,48,...
Leni [432]
A1=24 
<span>n=500(seq #) </span>
<span>d=how much u add each time=6 </span>

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3 years ago
Read 2 more answers
2. Starting at a fixed time, each car entering an intersection is observed to see whether it turns left (L), right (R), or goes
jasenka [17]

Answer:

Natural numbers (integers greater than zero)

X = 3,  5,  4,  4,  3

Step-by-step explanation:

The least number of cars that can be observed in this experiment is 1, if the first car turns left. On the other hand, the experiment could go on forever if no car ever turns left, thus the highest number of cars approaches infinite.

The possible values of X are integers greater than zero, which are known as the Natural numbers.

If X = number of cars observed, simply count the number of letters in each outcome for the value of X:

Outcome = RRL, AARRL, AARL, RRAL, ARL

            X = 3,  5,  4,  4,  3

7 0
3 years ago
How can csc^2-cot^2 = 1?
Softa [21]

ANSWER

By simplifying the left hand side using the Pythagorean Identity.

EXPLANATION

The given identity is

\csc^{2} (x) -  \cot^{2} (x) = 1

Take the left hand side and simplify to get the right hand side.

\csc^{2} (x) -  \cot^{2} (x) =  \frac{1}{\sin^{2} (x)}  - \frac{ \cos^{2} (x)}{\sin^{2} (x)}

Collect LCM for the denominators.

\csc^{2} (x) -  \cot^{2} (x) =  \frac{1 -  \cos^{2} (x)}{\sin^{2} (x)}

Recall the Pythagorean Identity.

\cos^{2} (x) +  \sin^{2} (x) = 1

This implies that:

1 -  \cos^{2} (x) =  \sin^{2} (x)

We substitute this to get,

\csc^{2} (x) -  \cot^{2} (x) =  \frac{\sin^{2} (x)}{\sin^{2} (x)}

\csc^{2} (x) -  \cot^{2} (x) = 1

6 0
3 years ago
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