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MA_775_DIABLO [31]
3 years ago
10

What is the surface area of the triangular prism? ​

Mathematics
1 answer:
Sergeu [11.5K]3 years ago
7 0

Good morning ☕️

Answer:

<h2>168 ft²</h2>

Step-by-step explanation:

the surface area of the triangular prism =

2×(the base’s area) + the lateral area

the base’s area =

\frac{6*4}{2} =\frac{24}{2} =12

the lateral area =

9×(6 + 5 + 5) = 9×16 = 9×16 = 144

finally,

the surface area of the triangular prism = 24 + 144 = 168

___________________________________________

:)

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Please help due in 15 minutes!!!!!
gizmo_the_mogwai [7]

Answer:

44ft

Step-by-step explanation:

The formula for circumference is 2 * π * radius and in this case we want to use 3.14 for π and so we do 2 x 3.14 x 7 because the radius is half of the diameter (14) and once you do that you end up getting 43.96 and once you round you get 44ft so you are correct.

4 0
3 years ago
A recipe for lemon bars called for 9" X 13" pan. How many 1" X 1" bars can be cut? How many 2" X 2" bars can be cut? How much is
gregori [183]

The number of bars which can be cut for the 1" X 1" and 2" X 2" square bars are; 117 and 29 units respectively.

<h3>How many bars can be cut from the pan in each case?</h3>

The total area of the given pan can be evaluated as follows;

Area = length × width

= 9 × 13

= 117 square units.

Hence, the number of 1" X 1" bars can be cut which can be cut from the pan;

= 117/(1×1)

= 117 1" X 1" bars.

For the 2" X 2" square bars, we have;

= 117/(2×2);

29 remainder 1 square unit.

Ultimately, one square unit of the pan is wasted for the 2" X 2" square bars.

Read more on area;

brainly.com/question/8294080

#SPJ1

8 0
2 years ago
Find P(5)-p(3) if P(2x)+P(4x)+P(6x)=24x-6
professor190 [17]

Answer:

P(5) - P(3) = 4

Step-by-step explanation:

<em>Lets explain how to solve the problem</em>

Assume that P(x) is a linear function, that because the sum of P(2x),

P(4x), and P(6x) is linear ⇒ (24x - 6 is linear)

∵ The form of the linear function is y = ax + b

∴ P(x) = ax + b

Substitute x by 2x

∵ P(2x) = a(2x) + b

∴ P(2x) = 2ax + b

Substitute x by 4x

∵ P(4x) = a(4x) + b

∴ P(4x) = 4ax + b

Substitute x by 6x

∵ P(6x) = a(6x) + b

∴ P(6x) = 6ax + b

Add the three functions

∴ P(2x) + P(4x) + P(6x) = 2ax + b + 4ax + b + 6ax + b

Add like terms

∴ P(2x) + P(4x) + P(6x) = 12ax + 3b ⇒ (1)

∵ P(2x) + P(4x) + P(6x) = 24x - 6 ⇒ (2)

Equate (1) and (2)

∴ 12ax + 3b = 24x - 6

By comparing the two sides

∴ 12a = 24 and 3b = -6

∵ 12a = 24

Divide both sides by 12

∴ a = 2

∵ 3b = -6

Divide both sides by 3

∴ b = -2

Substitute these values in P(x)

∵ P(x) = ax + b

∴ P(x) = 2x + (-2)

∴ P(x) = 2x - 2

Now we can find P(5) - P(3)

∵ P(5) = 2(5) - 2 = 10 - 2 = 8

∵ P(3) = 2(3) - 2 = 6 - 2 = 4

∴ P(5) - P(3) = 8 - 4 = 4

* P(5) - P(3) = 4

5 0
3 years ago
Theorem: a line parallel to one side of a triangle divides the other two proportionately. In the figure shown below, segment DE
bonufazy [111]

Answer:

the answer is B because to parallel segs always match with

seg=18

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A peregrine falcon can fly 332 kilometers per hour. How many meters per hour can the falcon fly?
-BARSIC- [3]
Well, there are 1,000 meters in a kilometer, so you just need to multiply 1000 by 332.

332 x 1000 = 332,000

A peregrine falcon can fly 332,000 meters per hour. Hope this helps!

~Ash


8 0
3 years ago
Read 2 more answers
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