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
MakcuM [25]
3 years ago
6

What is the surface area of the prism in square inches?

Mathematics
1 answer:
Kay [80]3 years ago
8 0

<u>Given</u>:

Given that the triangular prism with height 10 inches.

The side lengths of the base of the triangle are 12 inches, 13 inches and 5 inches.

We need to determine the surface area of the prism.

<u>Surface area of the prism:</u>

The surface area of the prism can be determined using the formula,

SA=bh+(s_1+s_2+s_3)H

where b is the base and h is the height of the triangle.

s₁, s₂, s₃ are the side lengths of the triangle and

H is the height of the prism.

Substituting b = 12, h = 5, s₁ = 12, s₂ = 5, s₃ = 13 and H = 10 in the above formula, we get;

SA=(12)(5)+(12+5+13)(10)

SA=60+(30)(10)

SA=60+300

SA=360 \ in^2

Thus, the surface area of the triangular prism is 360 square inches.

Hence, Option b is the correct answer.

You might be interested in
Round 6.071981 to 3 significant figures
natita [175]

Answer:

6.071

Step-by-step explanation:

All non zero numbers are significant irrespective of where decimal point is

If zero is between to numbers it is significant irrespective of where decimal point is

5 0
3 years ago
Plums cost $0.77 per pound Mangoes cost $1.32 per pound Write an expression that can be used to find the cost of buying p pounds
marissa [1.9K]

Answer:

The graphs below show the cost y of buying x pounds of fruit. One graph shows the cost of buying x pounds of peaches, and the other shows the cost of buying x pounds of plums.

Which kind of fruit costs more per pound? Explain.

Bananas cost less per pound than peaches or plums. Draw a line alongside the other graphs that might represent the cost y of buying x pounds of bananas.

IM Commentary

This task allows students to reason about the relative costs per pound of the two fruits without actually knowing what the costs are. Students who find this difficult may add a scale to the graph and reason about the meanings of the ordered pairs. Comparing the two approaches in a class discussion can be a profitable way to help students make sense of slope.

Solutions

Solution: Slope as Unit Rate

The graph that represents the cost of x pounds of peaches is steeper, so it must have a larger slope. The slope can be interpreted as the unit rate; in this case it tells you the cost of a single pound of fruit.

Since the slope for the peach graph is greater than the slope of the plum graph, the cost of a pound of peaches is greater than the cost of a pound of plums.

For b, students should realize that the cost per pound of bananas will be represented by a slope that is less than either of the other two, and draw a line through the origin labeled "Bananas" and lying below both of the other graphs.

Solution: Adding a scale to the graph

Students who prefer to work with specific numbers can approach this problem by sketching in a scale on the x-axis and y-axis. For example, if they decided that a pound of peaches might cost a dollar, then they might plot the point (1,1) on the line labeled "Peaches", then fill out the rest of the scale accordingly. They could then read off the cost of a pound of plums and see that it is less than for peaches.

For the second question, they could choose any price per pound b for bananas that is less than the one they read off for plums, and then draw a line from the origin through the point (b, 1), and label it "Bananas".

4 0
3 years ago
3a + b - 2 = b thank you
Gre4nikov [31]

Answer:

Get rid of b:

3a+b-2=b

3a-2=0

3a=2

A=2/3

7 0
3 years ago
During a sale at a bookstore, a customer buys one book at full price. The customer is given a 25 percent discount on a second bo
RoseWind [281]
Amount paid for the first book is $17.

Amount paid for the second book is 0.75 x 8 = $6

Total amount paid = $17 + $6 = $23

Total full cost of the two books = $17 + $8 = $25

Amount of discount = $25 - $23 = $2

% reduction = \frac{2}{25} \times100\%=8\%

Therefore, the <span>percent of the total cost of the two books reduced during the sale</span> is 8%
6 0
3 years ago
Read 2 more answers
Which is statement is correct
kobusy [5.1K]

Answer:

Step-by-step explanation:

the statement which is correct is

l -29 l > 22

here

29 > 22

6 0
3 years ago
Read 2 more answers
Other questions:
  • Please help i don't understand <br> Rx=1 (Q)= ___
    7·1 answer
  • What is the slope of y=-x+8
    8·1 answer
  • The quotient of a number and 8 is at most -6
    11·1 answer
  • What is the point-slope form of the equation of a
    7·1 answer
  • Jackson is attending a lacrosse game that is halfway through the first quarter.
    5·1 answer
  • At 111111:55\text{ p.M.}55 p.M.55, start text, space, p, point, m, point, end text, Thomas ties a weight to the minute hand of a
    9·1 answer
  • Simplify the expression.<br> 4(-8x + 5) – (-33x – 26) = ______
    7·1 answer
  • 6
    5·1 answer
  • X: 4(x + 2) = 3(x − 2)
    11·2 answers
  • What amount would u have if u deposited 1800 a year for 30 years at 7% compounded annually
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!