MATHEMATICS COLLEGE

A right prism of height 15 cm has bases that are right triangles with legs 5 cm and 12 cm. Find the total surface area of the prism. Please explain. a) 315 cm2 squared
b) 480 cm2 squared
c) 510 cm2 squared
d) 570 cm2

Answers

Answer 1

Answer:

Answer:

Option (C)

Step-by-step explanation:

Surface area of a right prism = 2(Area of the triangular base) + Ph

Here, P = Perimeter of the base

h = Height of the prism

Area of the triangular base = $(1)/(2)(\text{Height})(\text{Base})$

= $(1)/(2)(5)(12)$

= 30 cm²

Height of the prism = 15 cm

Perimeter of the base = (5 + 12 + 13)

= 30 cm

Surface area of the right prism = 2(30) + 30(15)

= 60 + 450

= 510 cm²

Therefore, Option (C) will be the correct option.

Related Questions

The tree diagram represents anexperiment consisting of two trials..4.5.6D.3С.5.7DÞ(B and D) = [?]ter
Find the critical points, domain endpoints, and local extreme values for the functiony=x^2/5(x+3)a. What is/are the critical point(s) and domain endpoint(s) where f' is undefined?b. What is/are the critical point(s) and domain endpoint(s) where f' is 0?c. From the critical point(s) and domain endpoint(s), what is/are the points corresponding to local maxima?d. From the critical point(s) and domain endpoint(s), what is/are the points corresponding to local minima?
HELP PLZ ASAP!!!!A landfill has 60,000 tons of waste in it. Each month it accumulates an average of 360 more tons of waste. What is a function rule that represents the total amount of waste after m months? Let W represent the total amount of waste and m represent months.A. W= 360m + 60,000B. W= 60,000m + 360C. W= 360m - 60,000D. W= 60,000m - 360
Morgan is 23 years old. Her grandfather is 4 times as old. How old is her grandfather?
Which of the graphs best represents a system of equations that has no solution? A) Graph A B) Graph B C) Graph C D) Graph D

For the 405 highway that car pass through a checkpoint, assume the speeds are normally distributed such that μ= 61 miles per hour and δ=4 miles per hour. Calculate the Z value for the next car that passes through the checkpoint will be traveling slower than 65 miles per hour.

Answers

Answer:

$Z = 1$

Step-by-step explanation:

Z - score

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

$Z = (X - \mu)/(\sigma)$

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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 61, \sigma = 4$

Calculate the Z value for the next car that passes through the checkpoint will be traveling slower than 65 miles per hour.

This is Z when X = 65. So

$Z = (X - \mu)/(\sigma)$

$Z = (65 - 61)/(4)$

$Z = 1$

which of the following is a Quadrilateral which must contain diagonals that are always congruent and must always have 90° angles?

Answers

Answer: B

Step-by-step explanation:

-3x = 24
Solve for X

Answers

-3x = 24
/-3 on both sides
x = -8

Based on information from the periodic table, what does this image represent? HE 4 Protons e 5 Neutrons = 2 Electrons A. A negatively charged beryllium ion B. A neutral boron atom
C. A neutral beryllium atom
D. A positively charged beryllium ion

Answers

This image represents A positively charged beryllium ion.

We have given that,

He 4 Protons e 5 Neutrons = 2 Electrons

A. A negatively charged beryllium ion

B. A neutral boron atom

C. A neutral beryllium atom

D. A positively charged beryllium ion.

We have to determine, Based on information from the periodic table what does this image represent?

What is the periodic table?

A table of the chemical elements arranged in order of atomic number, usually in rows, so that elements with similar atomic structure (and hence similar chemical properties) appear in vertical columns.

This image represents A positively charged beryllium ion.

To learn more about the periodic table visit:

brainly.com/question/15987580

#SPJ2

Answer:

D. A positively charged beryllium ion

i will mark brainliest !!!! Which method of solving quadratic equations do you prefer: factoring, completing the square, or quadratic formula? Why? Your response should be 3-5 sentences long and show that you’ve thought about the topic/question at hand. Please be aware we are looking for YOUR PERSONAL OPINION and there is not a single “correct answer.”

Answers

I always prefer quadratic formula as compared to factoring or completing the square to solve a quadratic equation.

What is a quadratic equation?

"A quadratic equation is an algebraic equation of the second degree in 'x'. The quadratic equation in its standard form is ax² + bx + c = 0, where 'a' and 'b' are the coefficients, 'x' is the variable, and 'c' is the constant term."

In order to solve a quadratic equation, I always prefer quadratic formula as compared to the other methods.

In many cases, a quadratic equation can not be converted into a square or into factors.

Therefore, quadratic formula is the only method to solve all type of quadratic equation.

Learn more about quadratic equation here: brainly.com/question/2263981

#SPJ3

I prefer solving quadratic equations with the quadratic formula. The formula is great for solving any equations like ones that factoring can’t. It is also easy to memorize and type in and check with a calculator.

The employees of a firm that manufactures insulation are being tested for indications of asbestos in their lungs. The firm is requested to send 4 employees who have positive indications of asbestos on to a medical center for further testing. If 55% of the employees have positive indications of asbestos in their lungs, find the probability that 11 employees must be tested in order to find 4 positives. If each test costs 300 Swedish kronor, find the expected value of the total cost of conducting the tests necessary to locate the 4 positives. Swedish kronor Find the variance of the total cost necessary to locate the 4 positives.