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PIT_PIT [208]
3 years ago
15

10. Write an expression in simplified form to represent the area of the trapezoid.

Mathematics
1 answer:
alexira [117]3 years ago
6 0

Answer:

48x^{7}y

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = \frac{1}{2} h (b₁ + b₂ )

where h is the height and b₁, b₂ the parallel bases , then

A = \frac{1}{2} × 4x^{5} × (9x²y + 15x²y )

   = 2x^{5} × 24x²y

   = 48x^{7}y

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AlladinOne [14]
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plug every thing in </span></span></span>5<span>x2</span>−3−<span>(<span>x2</span>−4x−8<span>)
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3 0
3 years ago
Two numbers whose sum is 29 and their difference is 15
n200080 [17]

Answer:

22 and 7

Step-by-step explanation:

Let x and y be the two numbers we are looking for:

The statement “their sum is 29” means x + y = 29

The statement “their difference is 15” means x - y = 15

we get this system:

x + y = 29 (1)

x - y = 15   (2)

Let’s solve it :

(1) + (2) ⇒ x + y + x - y = 29 + 15 ⇒ 2x = 44 ⇒ x = 44/2 = 22

Now we replace x by 22 in equation (1) :

22 + y = 29  ⇒ y = 29 - 22 = 7

6 0
2 years ago
This rectangle has side lengths r and s.
quester [9]
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7 0
3 years ago
A survey of middle school students asked if they play video games. The responses are
kow [346]

Answer:

A. 35.69%

B. 62.77%

Step-by-step explanation:

In this case, what we must do is calculate the probability supported with the data in the table.

Part A.

What is the probability that a randomly selected student is a 7th grader?

Here the total is all the students that would be the sum of all the grades, which are 325 students.

the number of 7th graders is 116, so the probability is:

116/325 = 0.3569

that is, 35.69%

Part B: What percentage of the students interviewed play Video games?

The total number of students is the same 325 and of those 204 play video games, therefore:

204/325 = 0.6277

that is, 62.77%

6 0
3 years ago
A fair 20 sided dice is rolled 1000 times. how many times would you expect to roll a 6?
Marta_Voda [28]
Well the probability of rolling a six on it would be 1/20.

So, if you're rolling it 1,000 times, 1,000 x 1/20 = 50.

You would roll a six approximately 50 times.
4 0
3 years ago
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