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Hoochie [10]
3 years ago
13

A trapezoid has an area of 30m^2. if all of its side lengths are tripled, what will its new area be​

Mathematics
1 answer:
Norma-Jean [14]3 years ago
5 0

Answer:

270

Step-by-step explanation:

Because we do not know what the side lengths are, as long as they multiply to 30m^2, it's fine

For this question, let's just say the base is 5, and the height is 6. If we triple 5, we get 15, and if we triple 6, we get 18. 15*18=270

Now what if, the sides are not 5 and 6. Will the area still be the same? Let's find out.

10*3=30 so we can say for this answer, the base is 3, and the height is 10.

10 tripled is 30, and 3 tripled is 9. 30*9=270

So as we look at these 2 answers. we can conclude that the new area, no matter the side lengths, will be 270

Hope this helpes!

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Under his cell phone plan, Bentley pays a flat cost of $64.50 per month and $4 per gigabyte. He wants to keep his bill at $78.90
Ira Lisetskai [31]

Answer:

3.6 gB

Step-by-step explanation:

You can think of this question in terms of the y = mx+b equation.

$78.90 is y because it is the total amount per month, $4 is m because it is the cost per gB, and $64.50 is b because it is the flat rate.

78.9 = 4x + 64.5

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7 0
2 years ago
A stack of playing cards contains 4 jacks, 5 queens, 3 kings, and 3 aces. two cards will be randomly selected from the stack. wh
Kipish [7]

Answer:

1/9.

Step-by-step explanation:

There is a total of 15 cards in the stack.

Prob( Queen is chosen) =  5/15 = 1/3.

The probability of a second queen being chosen is also 1/3

Required probability = 1/3 * 1/3 = 1/9.

7 0
3 years ago
Please help I really need help please
fomenos

Answer:

A

Step-by-step explanation:

The side lengths must satisfy the Pythagorean Theorem to be a right triangle. The formula is a^2 + b^2 = c^2 where a is the smallest side, b is the medium side, and c is the largest side. Test each set of numbers.

a = 6, b = 8, c= 10\\6^2 + 8^2 = 10^2\\36 + 64 = 100\\100 = 100

This satisfies the theorem. Since this is a multiple choice question, only one solution is possible. A is the solution.

6 0
3 years ago
This equation has one solution.<br> 5(r–1) + 3r =7(r + 1)<br> What is the solution?
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Answer:

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4 0
3 years ago
There are 20 parrots at the animal sanctuary. Their population is increasing at a rate of 15% per year. There are also 24 snakes
worty [1.4K]
For the answer to the questions above,
A) Parrots are following a Geometric Progression of 15% increase.

20(1.15),  20(1.15)², 20(1.15)³,

Function  = 20(1.15)^n      Where n is at the end of year, n =1, 2, 3, ..

Snakes are increasing by 4.

28, 32, 36,....

Function =  24 + 4n          n = number of end year,      n =1, 2, 3,...

<span>B) After 10 years:              </span>
Parrot =  20(1.15)¹⁰    = 80.91115471

Snakes =  24 + 4(10) = 64

<span>C) After what time they are the same: </span>
We use trial and error:


Test:  n                             20(1.15^n)                        (24 + 4n)
          1                                    23                                   28
          2                                    26.45                              32
<span>          3                                    30.41                             36    </span>
          4                                    34.98                              40
          5                                    40.23                              44
          6                                    46.26                              48
          7                                    53.20                              52
          8                                    61.18                              56
          9                                    70.36                              60

After year 7, the Parrots increases far more.
<span>At year 7 they are roughly the same.</span>
8 0
3 years ago
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