All categories

3 years ago

Which of the following is the surface area of the right cylinder below?

Mathematics

1 answer:

Snowcat [4.5K]3 years ago

8 0

Answer: Option A.

Step-by-step explanation:

You need to use this formula for calculate the surface area of the right cylinder:

$SA=2\pi r^2+2\pi rh$

Where "r" is the radius and "h" is the height.

You can identify in the figure that:

$r=8units\\h=3units$

Knowing this, you can substitute these values into the formula $SA=2\pi r^2+2\pi rh$ , therefore you get that the surface area of this right cylinder is:

$SA=2\pi (8units)^2+2\pi (8units)(3units)$

$SA=176\pi\ units^2$

You might be interested in

Multiply and fill in the blanks

Julli [10]

The solution to the simplification of the algebraic expressions are;

A) 5p³q + 5pq³ + 5p²q

B) 14pqr² - 7p²qr

C) 20x² - 15xy - 16ax + 12ay

A) We have the expression;

5pq(p² + q² + pq)

Multiplying out using the concept of distributive property, we have;

(5pq × p²) + (5pq × q²) + (5pq × pq)

>> 5p³q + 5pq³ + 5p²q

B) We have the expression;

-7pr(pq – qr - rq)

Multiplying out using the concept of distributive property, we have;

-7p²qr + 7pqr² + 7pqr²

>> 14pqr² - 7p²qr

C) (4x - 3y)(5x - 4a)

By quadratic expansion, we have;

(4x * 5x) - (3y * 5x) - (4x * 4a) + (4a * 3y)

>> 20x² - 15xy - 16ax + 12ay

Read more about simplification of algebra at; brainly.com/question/4344214

6 0

2 years ago

Help with functions, i only need help with #2

olasank [31]

Let's look at the first one, then you can practice the rest on your own. So, h(0) = - 2 because the number in h() is which number you search for on the bottom row. Then you look at the number above that bottom number, which, in this case is - 2, and that number is your answer.

8 0

3 years ago

The resting heart rate for an adult horse should average about µ = 47 beats per minute with a (95% of data) range from 19 to 75

KatRina [158]

Answer:

a. 0.0582 = 5.82% probability that the heart rate is less than 25 beats per minute.

b. 0.1762 = 17.62% probability that the heart rate is greater than 60 beats per minute.

c. 0.7656 = 76.56% probability that the heart rate is between 25 and 60 beats per minute

Step-by-step explanation:

Empirical Rule:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean:

$\mu = 47$