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strojnjashka [21]
2 years ago
8

What is the area, in square units, of trapezoid ABCD shown below?

Mathematics
1 answer:
SOVA2 [1]2 years ago
7 0

Given:

Trapezoid with bases 10 and 20, and height of the trapezoid is 6.

To find:

The area of the trapezoid.

Solution:

We know that the area of a trapezoid is:

A=\dfrac{1}{2}h(b_1+b_2)

Where, h is the height of the trapezoid and b_1,b_2 are bases of the trapezoid.

Putting h=6, b_1=10,b_2=20 in the above formula, we get

A=\dfrac{1}{2}(6)(10+20)

A=3(30)

A=90

The area of the trapezoid is 90 sq units. Therefore, the correct option is A.

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The sum of two numbers is 56 and the difference is 14. What are the numbers?
sertanlavr [38]

Answer:

x=35, y=21. (35, 21).

Step-by-step explanation:

x+y=56

x-y=14

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

2x=70

x=70/2

x=35

35+y=56

y=56-35

y=21

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2 years ago
There are 160 students trying out for basketball teams. There are 14 teams, and each team must have the same number of students.
ArbitrLikvidat [17]
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The graph of the function f is shown. The domain of f is [0,50]. What is the range of g(x)=4f(x)?
sergij07 [2.7K]

Answer:

The range of g(x) is [0,7].

Step-by-step explanation:

We must remember that range of function f(x) corresponds to the set of values of y in the graph (+y direction). Given that g(x) is a stretched version of f(x), the range of g(x) corresponds to the range of f(x) multiplied by 4. Then,

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The range of g(x) is [0,7].

4 0
3 years ago
What is The 7th term of the following sequence?
Natalka [10]

Answer:

0.03125

Step-by-step explanation:

Note that -32 is obtained by multiplying 128 by -1/4, and that 8 is obtained in the same way.  Thus, the common ratio is -1/4, and the formula for the nth term of this sequence is

a(n) = 128(-1/4)^(n-1).

Then the 7th term is a(7) = 128(-1/4)^(7-1) = 128(-1/4)^6, or 0.03125.

4 0
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Hey mind checking this out? :D
SashulF [63]

Answer:

48

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