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damaskus [11]
3 years ago
11

What is the surface area of the triangular prism?

Mathematics
1 answer:
Bas_tet [7]3 years ago
4 0

Answer:

135 ft^2.

Step-by-step explanation:

The total surface area

= 2 * area of the triangular sides + area of the 3 rectangular sides

= 2 * 1/2 * 2.5*6 + 8*6 + 8*6.5 + 8*2.5

= 135 ft^2.

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Lauren is planning a field trip. She has 79 students and 12 chaperones attending. Each bus can hold 32 people. How many busses w
zaharov [31]
I would think 3? it should be 3 because 32*2=64 which isn’t everyone 32*3 is 96
79+12=91
6 0
3 years ago
Read 2 more answers
Nick was surveying his field and saw some cows and ducks. Nick counted a total of 80 heads and
Natali [406]

Answers:

  • Total equation:  x+y = 80
  • Legs equation:  2x+4y = 248
  • How many ducks? 36
  • How many cows? 44

====================================================

Further explanation:

  • x = number of ducks
  • y = number of cows

x+y = 80 is the total equation (ie the head count equation) since we assume each animal has 1 head, and there are 80 heads total.

That equation can be solved to y = 80-x after subtracting x from both sides.

The legs equation is 2x+4y = 248 because...

  • 2x = number of legs from all the ducks only
  • 4y = number of legs from all the cows only
  • 2x+4y = total number of legs from both types of animals combined

We're told there are 248 legs overall, so that's how we ended up with 2x+4y = 248

------------

Let's plug y = 80-x into the second equation and solve for x.

2x+4y = 248

2x+4( y ) = 248

2x+4( 80-x ) = 248

2x+320-4x = 248

-2x+320 = 248

-2x = 248-320

-2x = -72

x = -72/(-2)

x = 36

There are 36 ducks

Now use this x value to find y

y = 80-x

y = 80-36

y = 44

There are 44 cows.

------------

Check:

36 ducks + 44 cows = 80 animals total

36*2 + 44*4 = 72 + 176 = 248 legs total

The answers are confirmed.

5 0
2 years ago
Geometry math question please help
stiks02 [169]

You need this key result: in any polygon, the sum of the interior angles is

(n-2)\times 180

where n is the number of sides of the polygon.

Your polygon has seven sides, and the measures of all angles are given. So, we can write

2x+4x+4x+4x+4x+2x+10x = (7-2)\times 180

Again, we've simply written that the sum of all interior angles is the number of sides, minus two, times 180.

We can simplify both sides: we sum like terms on the left hand side, and we easily compute the right hand side:

30x = 5\times 180 = 900

and we can solve this equation for x by dividing both sides by 30:

x = \cfrac{900}{30} = 30

Finally, the required angles is 2x = 2\times 30 = 60

5 0
3 years ago
28. Daniel uses 18 pints of water to fill 8 bottles. He
nekit [7.7K]

Answer:

b

Step-by-step explanation:

to find the answer to this you sould divide the amount of pints by the number of bottles

18/8

which is also 2 2/8

so the answer is b

7 0
2 years ago
The distance between point Q and point P is 6 1/2 units .Which number could represent point Q?please help me
Elden [556K]

Answer: Zero and Any real number

Step-by-step explanation:

Point Q could be represented by any real numbers. And zero if it's located at the origin. The same is applicable to value at point P. It's just that at P, the value can't be equal to Zero.

5 0
3 years ago
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