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Leokris [45]
2 years ago
12

The Drury Lane Theater has 10 seats in the first row and 38 rows in all. Each successive row contains one additional seat. How m

any seats are in the theater?
Anyone is here



​
Mathematics
1 answer:
densk [106]2 years ago
3 0

Answer:

1083 seats

Step-by-step explanation:

this is an arithmetic sequence :

an = an-1 + c

in our case

a1 = 10 (10 seats in the first row)

a2 = a1 + 1 = 10 + 1 = 11

a3 = a2 + 1 = a1 + 1 + 1 = 10 + 1 + 1 = 12

an = an-1 + 1 = a1 + (n-1)×1 = a1 + n - 1 = 10 + n - 1 = 9 + n

a38 = a1 + 37 = 10 + 37 = 47 seats.

altogether this means the sum of the arithmetic sequence of a1 to a38.

the general sum of an arithmetic sequence from a1 to an is

n×(a1 + an)/2

in our case

38×(10 + 47)/2 = 19×57 = 1083 seats

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I am stuck, please help
ASHA 777 [7]

Answer:

2323

Step-by-step explanation:

Mental math means to find a way to do this problem in your head without using paper, pencil or a calculator.

The question says there are 23 classes and each class is to collect 101 items.

The equation would be 23 x 101.

To do this in your head real quick, make the numbers easier to multiply.

Make the 101 items 100.  That means you are telling each class to collect 1 less item or 23 less items total.

You can do this in your head real quick.  23 classes collecting 100 items is 2300 items.

You had each class collect 100 items instead of 101.  That mean you didn't collect 23 items.   So if you add those back in, you will get

2323 items.

3 0
2 years ago
How many acute, obtuse, and right angles are in this figure?
Tanya [424]
Hey!


I hope you don't mind, but before I answer this question I'd like to do a quick review of some general angles and how to tell which is which.

<span><em><u /></em><span><em><u>QUICK REVIEW</u></em>
</span></span>
So, let's first review what an acute angle is. An acute angle is an angle that is smaller than 90<span>°. The word acute basically means having a sharp or pointy end. So this is a helpful way to remember what an acute angle is.

Now, let's review what an obtuse angle is. An obtuse angle is an angle that is more than 90</span>°. If an angle measures over 90<span>° that it is more than likely that it is an obtuse angle.

Last but not least a right angle. A right angle is an angle that has to be exactly 90</span>°. If an angle is 90<span>° than it is most definitely a right 

<span><em><u /></em><span><em><u>END QUICK REVIEW</u></em>
</span></span>
Let's start by finding out the angle in the top left hand corner. The angle is clearly no more that 90</span>° and is not 90° exactly. This angle must be an acute angle. We can also tell that it is an acute angle because the angle is sharp.

Now let's look at the angle on the bottom left hand corner. The angle is clearly no less than 90° and more than 90° exactly. This angle must be an obtuse angle.

Since the angles are basically the same on the other side, we won't be reviewing those. Now we'll count all the angles we have.

Acute Angles - 2

Obtuse Angles - 2

Right Angles - 0

<em>So, this means that in the figure shown above,</em>  there are 2 acute angles, 2 obtuse angles, and no right angles.

Hope this helps!


- Lindsey Frazier ♥
4 0
3 years ago
Use the drawing tool(s) to form the correct answer on the provided graph.
NikAS [45]

Answer:

Here's one way to do it

Step-by-step explanation:

1. Solve the inequality for y

5x - y > -3

-y > -5x - 3

y < 5x + 3

2. Plot a few points for the "y =" line

I chose

\begin{gathered}\begin{array}{rr}\mathbf{x} & \mathbf{y} \\-2 & -7 \\-1 & -2 \\0 & 3 \\1 & 8 \\2 & 13 \\\end{array}\end{gathered}

x

−2

−1

0

1

2

y

−7

−2

3

8

13

You should get a graph like Fig 1.

3. Draw a straight line through the points

Make it a dashed line because the inequality is "<", to show that points on the line do not satisfy the inequality.

See Fig. 2.

4. Test a point to see if it satisfies the inequality

I like to use the origin,(0,0), for easy calculating.

y < 5x + 3

0 < 0 + 3

0 < 3. TRUE.

The condition is TRUE.

Shade the side of the line that contains the point (the bottom side).

And you're done (See Fig. 3).

6 0
3 years ago
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mafiozo [28]

Answer:

-8+i

Step-by-step explanation:

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The "m" in y = mx + b is the <u>slope.</u>

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"rise" is the the number of units you go up(+) or down(-), "run" is the number of units you go to the right


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You are going up 1 unit, and to the right 2 units


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You are going down 3 units, and to the right 1 unit

4 0
3 years ago
Read 2 more answers
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