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tamaranim1 [39]
2 years ago
12

Let ABC be an isosceles right triangle such that

Mathematics
1 answer:
snow_lady [41]2 years ago
7 0

Answer:

16

Step-by-step explanation:

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In how many ways can we choose a 12 member jury from 30 possible people?
Pachacha [2.7K]
This is a problem dealing with permutations and combinations.
Order does not matter in this problem.
Since order doesn't matter, it is a combination.
Repetition matters, since you can't have the same person count as two people.

There are twelve slots.

_ _ _ _ _ _ _ _ _ _ _ _ 

Each slot needs to be multiplied by the next.

_*_*_*_*_*_*_*_*_*_*_*_

Now we have to fill in the slots.
Each slot will be filled with a number one less than the one before it. It has to be one less, since repetition matters.
The numbers will be decreasing from 30, since there are 30 possible people.

30 * 29 * 28 * 27 * 26 * 25 * 24 * 23 * 22 * 21 * 20 * 19

Multiply these numbers together and you get your answer.

41,430,393,164,160,000 ways
3 0
3 years ago
A countertop is in the shape of a trapezoid. The lengths of the bases are 70.5 and 65.5 inches long. The area of the countertop
const2013 [10]

Answer:

18.

Step-by-step explanation:

We know that the formula to find the height of a trapezoid is: ((a+b)/2)*h.

Using this, we'll get: 18, which is your answer. You can plug in the numbers if you want to confirm this.

Please give brainliest, thank you :)

3 0
2 years ago
An electrician charges $40 per hour for service calls up to eight hours, but increases this rate by 50% for additional hours. Th
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gg

Step-by-step explanation:

this is to much

7 0
3 years ago
ΔXLW ≅ΔXDG.<br><br><br><br><br><br> What is the measure of DX
Oxana [17]

Answer:

5.7 is your answer.

I HOPE IT WILL HELP YOU.

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3 0
2 years ago
Read 2 more answers
The midpoint of AB is M(-5,1). If the coordinates of A are (-4,-5), what are the coordinates of B?
Elenna [48]

<u>ANSWER:</u>

The midpoint of AB is M(-5,1). The coordinates of B are (-6, 7)

<u>SOLUTION: </u>

Given, the midpoint of AB is M(-5,1).  

The coordinates of A are (-4,-5),  

We need to find the coordinates of B.

We know that, mid-point formula for two points A(x_{1}, y_{1}) and B (x_{1}, y_{2}) is given by

M\left(x_{3}, y_{3}\right)=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)

Here, in our problem, \mathrm{x}_{3}=-5, \mathrm{y}_{3}=1, \mathrm{x}_{1}=-4 \text { and } \mathrm{y}_{1}=-5

Now, on substituting values in midpoint formula, we get

(-5,1)=\left(\frac{-4+x_{2}}{2}, \frac{-5+y_{2}}{2}\right)

On comparing, with the formula,

\frac{-4+x_{2}}{2}=-5 \text { and } \frac{-5+y_{2}}{2}=1

-4+\mathrm{x}_{2}=-10 \text { and }-5+\mathrm{y}_{2}=2

\mathrm{x}_{2}=-6 \text { and } \mathrm{y}_{2}=7

Hence, the coordinates of b are (-6, 7).

5 0
3 years ago
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