1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alik [6]
3 years ago
8

What is the surface area of this prism?

Mathematics
1 answer:
Zigmanuir [339]3 years ago
7 0
Let's find the area of each shape that makes up the prism.  Let's first start with the triangles.

There are two identical triangles on both ends of the prisms. They have a height of 12 and a base 18. Let's find the area of both of the triangles.
12×18=216
216 is the area of both triangles. Each triangle has an area of 108 though.
Let's find the area of the two rectangles.

There are two identical rectangles that are 30 m by 15 m. Let's find the area of both.
30×15=450×2=900
So, the area of both rectangles together is 900.
Let's find the area of the rectangle that acts as the base in the picture.

There's only one and it's 30 m by 18 m.
30×18=540
Let's add everything together.

540+900+216
1440+216
1656

So, the surface area is 1656 m².
You might be interested in
Is y=8200(1.19)x a growth or decay and what is the percentage
Bad White [126]

Answer:

Growth 119

Step-by-step explanation:

It is positive and the percentage is 1.19 with the decimal moved 2 places to to the right.

6 0
3 years ago
Read 2 more answers
Write the equation of the line passing through the points (-4,-1) and (2,8)
klio [65]
<h3><u>Explanation</u><u>:</u></h3>
  • Calculate the slope with two given coordinate points by using rise over run.

m =  \frac{y_2 - y_1}{x_2 - x_1}

Let these points

\begin{cases}(x_1, y_1) = ( - 4,  - 1) \\ (x_2, y_2) = ( 2,  8) \end{cases}

m =  \frac{8 - ( - 1)}{2 - ( - 4)}  \\ m =  \frac{8 + 1}{2 + 4}  \Longrightarrow \frac{9}{6}  \Longrightarrow \frac{3}{2}  \\ m =  \frac{3}{2}

  • Slope-Intercept

y = mx + b \\ m = slope \\ b = y - intercept

Substitute the value of m in the equation.

y =  \frac{3}{2} x + b

  • Substitute any coordinate points that are given or part of the graph in the equation.

(x_, y) = ( - 4,  - 1)

- 1 =  \frac{3}{2} ( - 4) + b

  • Solve the equation for b-term.

- 1 =  \frac{3}{ \cancel{2}} ( \cancel{ - 4})   + b\\  - 1 = 3( - 2) + b \\  - 1 =  - 6 + b \\  - 1 + 6 = b \\ 5 = b

  • Rewrite the equation by substituting the value of b in the equation.

y =  \frac{3}{2} x + 5

<h3><u>Answer</u></h3>

\large \boxed{y =  \frac{3}{2} x + 5}

<em>If</em><em> </em><em>you</em><em> </em><em>have</em><em> </em><em>any</em><em> </em><em>questions</em><em> </em><em>related</em><em> </em><em>to</em><em> </em><em>the</em><em> </em><em>answer</em><em>,</em><em> </em><em>feel</em><em> </em><em>free</em><em> </em><em>to</em><em> </em><em>ask</em><em> </em><em>via</em><em> </em><em>comment</em><em>.</em>

7 0
3 years ago
What is the solution set to the inequality 5(x – 2)(x + 4) &gt; 0?
ankoles [38]

Answer:

Step-by-step explanation:

The Answer is {x| x <-4 or x> 2}

8 0
3 years ago
Read 2 more answers
Find the central angle of a sector of a circle if the area of the sector and the area of the remaining part of the circle are in
andre [41]

Answer:

288

Step-by-step explanation:

360/5 = 72

72x4 = 288

8 0
3 years ago
Angie and Becky each completed a separate proof to show that the measures of vertical angles AKG and HKB are equal. Who complete
Helga [31]

Answer:

Becky, because her justification for the second statement should be "definition of supplementary angles" rather than "angle addition postulate."

Step-by-step explanation:

Becky completed the proof incorrectly because her justification for the second statement is not totally correct.

Angle addition postulate does not really apply here, as the sum of 2 angles may not give you exactly 180°.

However, the second statement, m<AKG + m<GKB = 180° and m<GKB + m<HKB = 180°, can be justified by the "Definition of Supplementary Angles".

The sum of supplementary angles = 180°.

Therefore, Becky completed the proof incorrectly.

6 0
3 years ago
Other questions:
  • Find the value of x and the measure of the angle labeled 2xº
    9·1 answer
  • Two angles of a triangle have the same measure and the third one is 24 degrees greater than the
    9·1 answer
  • This is dueeeeeee tomorow please help
    8·1 answer
  • Jason drove 110 miles in 2 3/4 hours. What was Jason's speed in miles per hour?
    8·1 answer
  • Simplify: 13x - y - y + 7y - 12x
    12·1 answer
  • Mr. Martinez wants to get a cell-phone plan.He has two deals:
    12·1 answer
  • If each person paid an equal amount, who would save the most money? Explain your reasoning using at least two complete sentences
    5·2 answers
  • Pls help ASAP I’ll give brainliest
    11·1 answer
  • Susan earned $220 babysitting last week.
    6·2 answers
  • In the figure below, points A, B, and C are on a straight line. What is the measure of angle DBE
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!