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Alexandra [31]
3 years ago
7

A theater has 30 seats in the first row, 33 seats in the second row, 36 seats in the third row, and so on in the same increasing

pattern. If the theater has 15 rows of seats, how many seats are in the theater?
A. 765

B. 775

C. 810

D. 840

Mathematics
1 answer:
Ghella [55]3 years ago
4 0

The answer is A. 765

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The base of a rectangular prism has an area of 12 square centimeters. The height of the rectangular prism is 3 centimeters. What
UkoKoshka [18]

Answer:

36 cubic centimeters

Step-by-step explanation:

In this question, we are tasked with calculating the volume of the rectangular prism.

mathematically, that can be obtained by using the formula for the volume of the rectangular prism.

V = Base area * height

from the question, we have the base area as 12 square centimeters and the height as 3 centimeters.

Plugging these values into the equation, the value of the volume is thus 12 * 3 = 36 cubic centimeters

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3 years ago
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5. Over what interval is the following graph DECREASING? *
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Answer:

(3, 13)

Step-by-step explanation:

The curve decreases from x = 3 to x = 13.

Answer: (3, 13)

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3 years ago
At a school the number of boy to girls is 11:9 there are 124 more boys than girls work out the total number of students at the s
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1240

Step-by-step explanation:

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5 0
3 years ago
In a right triangle ABC, CD is an altitude, such that AD=BC. Find AC, if AB=3 cm, and CD= root 2 cm.
Nata [24]

Given CD is an altitude such that AD=BC , AB=3 cm and CD= √2 cm.

Let AD=x, Since given AB=3

                                     AD+DB=3

                                       x+DB = 3

                                        DB = 3-x

Since ΔBCD is rght angle triangle, let's apply Pythagoras theorem

BC^{2} = DB^{2} +CD^{2}

BC^{2} = (3-x)^{2} +(\sqrt{2} )^{2}

BC^{2} =(3-x)^{2} +2

Since given AD=BC,let us plugin BC=x in above step.

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x^{2} =9-6x+x^{2} +2

6x=11

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Now we know AD=x=\frac{11}{6} and given CD=√2.

Let us apply Pythagoras theorem for ΔACD

AC^{2} =AD^{2} +DC^{2}

AC^{2} = (\frac{11}{6} )^{2} +(\sqrt{2} )^{2}

AC^{2} =\frac{193}{36}

AC=\sqrt{\frac{193}{36} } = 2.315cm

3 0
3 years ago
One number is seven less than five times another. If their sum is decreased by four the result is one. Find the numbers
juin [17]
Let the number be Y .
Y is seven
less than 5 times another (let that other be X)
Y=7-5X
sum of both Y and X minus 4 gives one
Y+X-4=1
now solve both equations .
6 0
3 years ago
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