Use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number.
11.21 m
34 m
5 m
6 m

Answers

Answer 1

Answer:

755 m²; 785 m²

Step-by-step explanation:

In the picture attached, the prism is shown.

Lateral area = perimeter of base * height

The base is a right triangles, then its perimeter is:

perimeter: 5 + 6 + 11.21 = 22.21 m

Lateral area = 22.21*34 = 755 m²

Surface area = lateral area + 2 (Area of base)

The base is a right triangles, then its area is:

area of base = (1/2)*5*6 = 15 m²

Surface area = 755 + 2*15 = 785 m²

Use Formulas To Find The Lateral Area And Surface Area Of The Given Prism. Round Your Answer To The Nearest

Related Questions

can someone explain the Pythagorean Theorem to me​

Answers

Answer:

The Pythagorean theorem deals with the lengths of the sides of a right triangle. ... The sum of the squares of the lengths of the legs of a right triangle ('a' and 'b' in the triangle shown below) is equal to the square of the length of the hypotenuse ('c').

Step-by-step explanation:

Given the exponential equation y=34(5)x, what is the y-intercept (or starting point) of the graph?

Answers

Answer:

34

Step-by-step explanation:

Given

y = 34[tex](5)^{x}[/tex]

To find the y- intercept let x = 0, that is

y = 34[tex](5)^{0}[/tex] = 34 × 1 = 34 ← y- intercept

Yes the answer is 34 because if you

simplify the following equation
x^5 * x^-3 =x^n
A. 4
B. -2
C. 2
D. 8

Answers

Answer:

x=2

Step-by-step explanation:

x^5 * x^-3 =x^n

We know a^b * a^c = a^(b+c)

x^(5 -3) =x^n

x^2 = x^n

2=n

Answer:

C. 2

Step-by-step explanation:

When you are multiplying the same base number with exponents you add the exponents. 5-3=2. So, n=2. Hope this helps :)

what is the equation of the line passing through ( -5, -3 ) and perpendicular
to the line representing the equation y = - 5/7x + 2?

Answers

Answer:

y = 7/5x + 4

Step-by-step explanation:

use the slope from the equation -5/7 and take the negative reciprocal to get the perpendicular slope = 7/5. Then use the equation y=mx+b. Plug in x and y from the point given and the new slope and solve for b.

(-3) = (7/5)(-5) + b, (-3) = -7 + b, add 7 to both sides. b = 4. Rewrite the equation now to be y = 7/5x + 4

A sector with a radius of 8 cm has an area of 56pi cm2. What is the central angle measure of the sector in radians?

Answers

Answer:

[tex]\frac{7\pi}{4}[/tex].

Step-by-step explanation:

Given information:

Radius of circle = 8 cm

Area of sector = [tex]56\pi\text{ cm}^2[/tex]

Formula for area of sector is

[tex]A=\dfrac{1}{2}\theta r^2[/tex]

where, r is radius and [tex]\theta[/tex] is central angle in radian.

Substitute [tex]A=56\pi[/tex] and r=8 in the above formula.

[tex]56\pi=\dfrac{1}{2}\theta (8)^2[/tex]

[tex]56\pi=\dfrac{64}{2}\theta[/tex]

[tex]56\pi=32\theta[/tex]

[tex]\dfrac{56\pi}{32}=\theta[/tex]

[tex]\dfrac{7\pi}{4}=\theta[/tex]

Therefore, the measure of the sector in radians is [tex]\frac{7\pi}{4}[/tex].

Which theorem or postulate could be used to prove the congruence of the triangles?

Answers

Answer:

Yes! There's the Side-Angle -Side postulate, or SAS. This states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

Step-by-step explanation:

The postulate used to prove the congruence of the triangles is ASA.

Option B is the correct answer.

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Two right triangles.

∠90° = ∠90°

side = side (given)

Angle = Angle (given)

By ASA (angle side angle)

The triangles are congruent.

Thus,

The postulate is ASA.

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ2

At the end of the school year a school system has a table with the total absences and tardies in its 10 schools what is the best way to display these data?

A. Bar Graph
B.Circle Graph
C. Stem and leaf plot
D.Ogive graph

Answers

Answer:

A

Step-by-step explanation:

top side is 6 just couldn’t fit in picture

Answers

Answer: [tex]6<z<18[/tex]

Step-by-step explanation:

Use the pythagorean theorem to find z first.

[tex]c^2=a^2+b^2\\c=\sqrt{a^2+b^2}[/tex]

a = 12

b = 6

c = z

[tex]c=\sqrt{(12)^2+(6)^2}\\ c=\sqrt{144+36}\\ c=\sqrt{180} \\c=13.4[/tex]

z is greater than a and b

Given these what is X if B-X=A

Answers

Answer:

B

Step-by-step explanation:

B-X=A

or

B-A=X

or

X=B-A

[tex]X=\left[\begin{array}{ccc}-5&-1&6\\4&1&2\\0&-3&2\end{array}\right] -\left[\begin{array}{ccc}-1&-2&3\\4&8&-6\\0&1&5\end{array}\right] \\=\left[\begin{array}{ccc}-5+1&-1+2&6-3\\4-4&1-8&2+6\\0-0&-3-1&2-5\end{array}\right] \\=\left[\begin{array}{ccc}-4&1&3\\0&-7&8\\0&-4&-3\end{array}\right][/tex]

Answer:

answer is B

Step-by-step explanation:

Find the area. Will mark brainliest.

Answers

Answer:

Step-by-step explanation:

base b = 11 cm

Height h = 6 cm

[tex]Area=\frac{1}{2}bh\\\\=\frac{1}{2}*11*6\\[/tex]

= 11 * 3

= 33 cm²

Answer:

33 cm squared

Step-by-step explanation:

A = 1/2bh

A = 1/2 (11) (6)

A = 1/2 (66)

A = 66/2

A = 33

Which polynomials are in standard form?

Answers

Answer:

Regular type is called the form in which polynomials are mostly used. The parameters are calibrated to the lowest degree. The polynomial x4 + 2x3+x+11 is standard, for instance, because four are most strong and three and one are the strongest.

Step-by-step explanation:

The probability of not choosing a black shirt is...? please explain!

Answers

Answer:

80% or 8/10.

Step-by-step explanation:

Assuming the shirts in the bottom right are the "black" shirts, there is ten total shirts (1 red, 4 blue, 2 green, 1 white,  2 black.) Out of the ten shirts, 8 are not black. This means that there is an 80% chance that you will select a shirt that is NOT black.

The probability of not choosing a black shirt is 8/10. Because there is 10 shirts and 8 are not black.

find the missing angle in the triangle

Answers

Answer:

60

Step-by-step explanation:

Since all of the sides of this triangle are shown to be congruent, this must be an equilateral triangle. In an equilateral triangle, all of the angles are equal to 60 degrees. Therefore, x is 60. Hope this helps!

Answer:

60

Step-by-step explanation:

If all sides all have the same angles then we will divide 180 by 3 which will give us our answer 60.

what kind of polynomial is 2x^4-4x^2

Answers

Answer:

Binomial

Step-by-step explanation:

It has 2 terms in the expression

Answer: quadratic polynomial

Step-by-step explanation:

A quadratic polynomial is a polynomial of degree 2. A univariate quadratic polynomial has the form f(x)=a_2x^2+a_1x+a0. An equation involving a quadratic polynomial is called a quadratic equation. A closed-form solution known as the quadratic formula exists for the solutions of an arbitrary quadratic equation.

Iris had invited 105 people to her party. She needs 7 large tables to have an equal number of people at each table. Which equation shows how many people will sit at each table

Answers

Answer:

105/7= 15 people will seat at each table.

Step-by-step explanation:

If the probability of a chance event is 0.67, it is less likely to happen
than which of the following probabilities of another chance event?
Select one:

0.76

0.61

0.65

0

Answers

Answer:

.76

Step-by-step explanation:

Assignment
Health Club Fees You are choosing between two health clubs Club A offers membership for a fee of $7 plus a monthly fee of $23. Club B offers membership for a
tee of $35 plus a monthly fee of $16. After how many months will the total cost of each health club be the same?
in month(s) the total cost of each health club will be the same

Answers

Answer: The solution is (4,99) which means for in 4 months the total cost of each health club will be the same.

Step-by-step explanation:

Club A can be represented by the equation    y = 23x + 7  where x is the number of months  and y is the cost.

Club B can be represented by the equation   y = 16x + 35  where x is the number of months and y is the cost.

23x + 7 = 16x + 35     set the equation equal each other to solve for x

        -7               -7

23x  = 16x + 28

-16x     -16x

7x= 28

x= 4   now we know the value of  x is 4 so we will put it into the equation and solve for y

y= 16(4) + 35

y= 99

Which of these are NOT expressions?
Check all that are true.

123

9 + 3 = 12

3(4x + 5)

6 − 5 − 4 = z

3z + 2x


HELP

Answers

Answer:

6-5-4=z

9+3=12

Step-by-step explanation:

Expressions has no equal sign

“9 + 3 = 12” and “3(4x + 5)”

Evalaute the expression 3x + (z+2y)-12, if x=3, y=8 and z=5
please help rn

Answers

Answer:

18

Step-by-step explanation:

3x + (z + 2y) - 12, if x = 3, y = 8 and z= 5.

3*3 + (5+2*8) - 12

9 + (5 + 16) - 12

9 + 21 - 12

30 - 10 - 2

20 - 2

18

Answer:

18

Step-by-step explanation:

First what you would do is plug in the numbers.

3x3+(5+2x8)-12

Then you would multiply 2 times 8 and get 16. Then add 16 and 5 and get 21.

3x3+(21)-12

Then you add 3 times 3 and get 9.

9+21-12

Then you solve left to right. Then you add 9 and 21 and get 30. Last you subtract by 30 by 12 and get 18.

what is the value of x?

Answers

Answer:

you need a d/protector to do this

Step-by-step explanation:

From the moment the first car started how many hours will it take the second car to catch up to the first

Answers

Answer:

HELP

Step-by-step explanation:

Which description of the graph of the linear inequality y ≥ 7x – 4 is correct????The graph will be a dashed line with a y-intercept of negative four and a slope of seven. The graph will be shaded below the line.
The graph will be a solid line with a y-intercept of negative four and a slope of seven. The graph will be shaded above the line.
The graph will be a solid line with a y-intercept of seven and a slope of negative four. The graph will be shaded below the line.
The graph will be a dashed line with a y-intercept of seven and a slope of negative four. The graph will be shaded above the line.

Answers

Answer:

It's the second description

Step-by-step explanation:

It's one of the inequality symbols for greater/less than or equal to, which means the line is solid. Then, y is greater than or equal to 7x-4 which means it will be shaded above the line.

Answer:

The correct answer is the 2nd option

Step-by-step explanation:

Which is a solution to x + 5 = 8?

Answers

Answer:

 x = 3

Step-by-step explanation:

Step  1  :

Solving a Single Variable Equation :

1.1      Solve  :    x-3 = 0  

Add  3  to both sides of the equation :  

                     x = 3

Then you will get the answer that is  x = 3

Hope this helps

Answer:
x=3
Reason:
x+5=8
-5 from both sides
8-5=3
so x=3


Which of the following describe 9.49?

Answers

Answer:take 9x49

Step-by-step explanation:

You’ll get the answer

Which three-dimensional figures have lateral faces that are polygons? Check all that apply. cones cylinders hemispheres prisms pyramids spheres

Answers

Answer:

Prisms

Pyramids

Step-by-step explanation:

Lateral faces of a pyramid are triangles (3 sided polygon)

Lateral faces of prisms are rectangles (4 sides polygon)

Answer:

Cylinders, Prisms, Pyramids

Step-by-step explanation:

Hope this helps

Brainliest if correct pls

HELP ME QUICK PLZ WITH THIS MATH PROBLEM!!!!!!!!!!!!!!

Answers

Answer:

I believe it’s 1/2

Step-by-step explanation:

Take a point on the graph and use rise over run method

Answer:

D. 5/8 pounds

Step-by-step explanation:

You can find the slope by picking a point such as (8,5).

Slope = rise over run.

(8,5) is 8 units right and 5 units up, thus the slope is 5/8

Hope this helps.

A coin has heads on one side and tails on the other the coin is tossed 12 times and lands heads up four times which best describes what happens when the number of trials increases significantly

Answers

Answer:

The number of occurrences for both possible events(heads or tails) will be closer to the expected outcome. By that I mean that of all the total outcomes heads will be about half of them and so will tails.

please help im having trouble with these problems​

Answers

Answer:

B I think

Step-by-step explanation:

What is the y-coordinate of the solution of the system of equations? {y=3x−26 2x−y=19 Enter your answer in the box.

Answers

Answer:

The y-coordinate of the solution is -5.

Step-by-step explanation:

I graphed the equations on the graph below to find the solution of the system.

If this answer is correct, please make me Brainliest!

What is the factored form of the polynomial?
f2 + 9x +20
(x - 4)(x - 5)
(x - 2)(x - 10)
(x + 4)(x + 5)
(x + 2)(x + 10)

Answers

Answer:

(x + 4)(x + 5)

Step-by-step explanation:

If you FOIL these factors, you get the give quadratic polynomial. x×x = x^2 4×5 = 20. 4x + 5x = 9x

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What steps did Reagan take in the early 1980s to change the Cold War with the Soviet Union Read the passage.(1) Many American men were drafted during World War II. (2) Many other men volunteered to serve. (3) In fact, so many men entered the armed services that professional baseball experienced a shortage of good players. (4) Philip K. Wrigley had an interesting solution to the problem. (5) He started a new league. (6) It was called the All-American Girls Professional Baseball League (AAGPBL). (7) To find good players, he scouted womens softball clubs. (8) They were very popular at that time. (9) The AAGPBL was a hit. (10) In 1948, the year in which the league reached its high point of popularity, more than a million fans came to watch AAGPBL games. (11) The league produced many fine players, including Mary Bonnie Baker. (12) Dorothy Kamenshek was also a fine player. (13) After World War II ended, the AAGPBL declined in popularity. (14) In 1954, the league was disbanded.Which is the most effective way to combine sentences (11) and (12)?The league produced many fine players, and they include Mary Bonnie Baker and Dorothy Kamenshek.The league produced many fine players, Mary Bonnie Baker and Dorothy Kamenshek also was fine.The league produced many fine players, Mary Bonnie Baker and Dorothy Kamenshek.The league produced many fine players, including Mary Bonnie Baker and Dorothy Kamenshek. what is the central claim of the expert can you guys help me please nobody has helped me yet please?What sentence best summarizes the section entitled Coming To America?A There was one group of Chinese, however, that could not be legally kept out of the countrythose with a parent who was a U.S. citizen.B At first, Chinese immigrants were welcomed into the U.S., but as jobs became scarce, the government made it nearly impossible for Chinese to enter the country.C i took out c because the answer is not c.D Since many people who wanted to immigrate to the U.S. did not have a parent who was a citizen, they bought fake papers and became paper sons and paper daughters. Unlike his well-behaved brother, Alec was an impertinent child who constantly asked rude and intrusive questions of authority figures. What is 1200 milligrams converted into grams A survey showed that 7/15 of a class liked soccer and 2/5 liked baseball. Which sport was liked less? Introduction: Match each word to its definition on the right. Find the first four terms in the sequence an=15+6n. A. 18, 12, 6, 0 B. 20, 26, 32, 38 C. 21, 27, 33, 39 D. 20, 14, 8, 2 When planning a workout for muscular endurance, you'll need fewer workouts to reach your goal if you do compound exercises.TrueFalse What were maos 2 important goals as the leader of China Which federal agency regulates franchising activities? Given these what is X if B-X=A How many tangents that are common to both circles can be drawn?A.1B.2C.3D.4 Nosotros estbamos felices de que ella seo irseO fueraOfueOir Evalaute the expression 3x + (z+2y)-12, if x=3, y=8 and z=5please help rn Solve algebraically x-4y=-10x+y=5 3a. Are we able to see and heareverything? Explain why or why not Jury duty is a legal responsibility that adult citizens are normally required to do. What is the primary reason for requiring jury duty? what is the value of x?