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3 years ago

Use the net to compute the surface area of the three-dimensional figure.

Mathematics

1 answer:

Grace [21]3 years ago

3 0

9514 1404 393

Answer:

382 square units

Step-by-step explanation:

The central four rectangles down the middle of the net are 9 units wide, and alternate between 8 and 7 units high. Then the area of those four rectangles is ...

9(8+7+8+7) = 270 . . . square units

The rectangles making up the two left and right "wings" of the net are 8 units high and 7 units wide, so have a total area of ...

2×(8)(7) = 112 . . . square units

Then the area of the figure computed from the net is ...

270 +112 = 382 . . . square units

Additional comment

You can reject the first two answer choices immediately, because they are odd. Each face will have an area that is the product of integers, so will be an integer. There are two faces of each size, so the total area of this figure must be an even number.

You may recognize that the dimensions are 8, 8+1, 8-1. Then the area is roughly that of a cube with dimensions of 8: 6×8² = 384. If you use these values (8, 8+1, 8-1) in the area formula, you find the area is actually 384-2 = 382. That area formula is A = 2(LW +H(L+W)).

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Dafna11 [192]

Basically there are 3 addition properties and they are associative property, identity property, and commutative property.

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Associative property is just changing the grouping of the addends. Example: (26+19) + (34+21)

I know these properties may be complicated i know inhate them too haha but i hope i helped :) if you want you can search up the distributive property too but its with multiplication and addition combined and its harder but i think these are the 3 main properties.

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3 years ago

Nicole has 17 nickels n and dimes d. If the value of her coins is $1.30, how many of each coin does she have?

denis-greek [22]

Answer:

8 nickels and 9 dimes

Step-by-step explanation:

If all were dimes, the value would be $1.70. It is $0.40 less than that. Changing a dime for a nickel reduces the value by $0.05, so there must have been $0.40/$0.05 = 8 such changes.

There are 8 nickels and 9 dimes.

_____

Check

8 · 0.05 + 9 · 0.10 = 0.40 + 0.90 = 1.30 . . . the answer checks OK

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4 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

Which one is definitely wrong ?

ivanzaharov [21]

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3 years ago

Read 2 more answers

E is the midpoint of DF, DE = 2x + 4, and EF = 3x + 1. Find DE, EF, and DF.

Agata [3.3K]

When there is a midpoint in a line segment, the two segments that are then produced have to be equal. So that means that because E is a midpoint of DF, DE=EF.
Set up the equation.
DE=EF
2x+4=3x+1
Then solve for x.
x=3
Then plug it back in the equation to find DE and EF.
DE=2x+4=2(3)+4=10
Because DE=EF then EF is also 10.
DF is made from the addition of DE and EF so DF is twice EF.
DF= 20

DE= 10, EF= 10, DF= 20

Hope this helps.

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3 years ago