Help please this is due today!!! please provide a small explanation!!

Mathematics

1 answer:

AlekseyPX2 years ago

8 0

Answer:

200 sq cm

Step-by-step explanation:

Lateral surface area is the surface area without the bases, or without the top and bottom. So, you just add up the area of the 4 sides.

The front and back are both 10 x 20, so 200 each = 400

The left and right are 5 x 20, so 100 each = 200

The lateral surface area is 200 sq. cm.

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X+ y + z = -3 3y - Z = 4 2x- y - 2z = -5

snow_lady [41]

Answer:

(-3, 1, -1)

Step-by-step explanation:

x + y + z = -3 --> (1)
3y - z = 4 --> (2)
2x - y - 2z = -5 --> (3)

Add up (1) and (2)

x + 3y + y + z - z = -3 + 4 ⇒ x + 4y = 1 --> (4)

Double (2) and subtract from (3)

2x - y - 2z - 2(3y - z) = -5 - 2(4) ⇒ 2x - y - 2z - 6y + 2z = -5 - 8
2x - 7y = -13 --> (5)

Double (4) and subtract (5)

2(x + 4y) - 2x + 7y = 2 + 13 ⇒ 2x + 8y - 2x + 7y = 15 ⇒ 15y = 15 ⇒ y = 1

Finding x

x + 4(1) = 1 ⇒ x = 1 - 4 ⇒ x = -3

Finding z

-3 + 1 + z = -3 ⇒ z = -1

So the answer is:

(-3, 1, -1)

4 0

3 years ago

a rectangular playground is 40 meters by 10 meters. its area will be covered with shredded tires. each bag of shredded tires cov

Lena [83]

First, we need to find the area of the rectangular playground.
To do this, we must multiply 40 by 10.
We get 400 meters².
Now divide 400 by 200 and you get 2.
That means 2 bags will be needed to cover the entire area of the playground.
To find the price, multiply 30 by 2.
The total cost for this project will be $60.
Hope this helped you out! :)

6 0

3 years ago

Which of the following is most likely the next step in the series?

kupik [55]

The circles in the figures form a series

The next step in the series is (B)

<h3>How to determine the next step?</h3>

From the figure, we have the following highlights

The first circle has 2 segments
The second circle has 4 segments
The third circle has 5 segments

Using the above pattern, the next circle must have 6 segments

Hence, the next step in the series is (B)