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kicyunya [14]
3 years ago
13

A pentagonal prism has a base area of 124 square inches. The lateral area (area of the sides) is made up of 5 equal-sized rectan

gles that are each 80 square inches. What is the surface area of the pentagonal prism?
Mathematics
1 answer:
wel3 years ago
8 0

The surface area of the pentagonal prism is 648 square inches.

Step-by-step explanation:

Step 1:

The surface area of a shape is the sum of all the areas of all the external surfaces.

The pentagonal prism has a total of 7 sides i.e. 2 pentagonal sides and 5 rectangular sides.

The total surface area of the prism is the sum of the individual areas of the 7 sides.

Step 2:

The area of the 2 pentagonal sides = 2(124) = 248 square inches.

The area of each rectangular side is 80 square inches. So

The area of 5 rectangular sides = 5(80) = 400 square inches.

The total surface area of the prism =248+400 = 648 square inches.

The surface area of the pentagonal prism is 648 square inches.

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Which of the following is the set of all real number x such that x-2 < x-4?
umka2103 [35]

If you subtract x from both sides, then you go from

x-2 < x-4

to

-2 < -4

which is a false statement. The value -2 is not smaller than -4. It's the other way around. I recommend looking at a number line to compare the two values.

This means that x-2 < x-4 is never true regardless of what x value you pick. So there are no solutions.

5 0
3 years ago
The sum of the digits of a two digit number is 10. If 36 is subtracted from the number, the digit interchange their places Find
lianna [129]

Step-by-step explanation:

Let A be the tens digit of the number and B be the ones digit.

We have A + B = 10 and 10A + B - 36 = 10B + A.

=> A + B = 10 and 9A - 36 = 9B

=> A + B = 10 and A - 4 = B

=> A + B = 10 and A - B = 4

Therefore 2A = 10 + 4 = 14,

A = 7 and B = 10 - 7 = 3.

Hence the number is 73.

3 0
3 years ago
19
Reika [66]

Answer:

3/10

Step-by-step explanation:

From the question :

Let amount rytis get = x

Hence, amount Linda gets = 3x

Hence, amount Adam gets = 2 times what Linda gets = 2(3x) = 6x

Hence, total amount shared :

x + 3x + 6x = 10x

Amount Linda got = 3x

Therefore, fraction Linda gets = Amount gotten by Linda / total amount = 3x / 10x = 3/10

Hence, fraction gotten by Linda = 3/10

5 0
3 years ago
I forgot what's 646,780 times 547,890 please respond
patriot [66]
646,780 times 547,890 is 354,364,294,200.
5 0
3 years ago
204 thousands equals
jeka57 [31]
204 thousand equals 204,000 or two hundred and four thousand. 
Hope this helps.
6 0
3 years ago
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