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nika2105 [10]
2 years ago
14

3.

Mathematics
2 answers:
Troyanec [42]2 years ago
8 0

Answer:

<h2><u>Solution</u><u> </u><u>:</u><u>-</u></h2>

We have

Volume = 70 m³

Width = 2 m

Height = 7 m

Length = Volume/Width × Height

Length = 70/2 × 7

Length = 70/14

Length = 5 m

\\

Law Incorporation [45]2 years ago
6 0

Answer:

5 m

Step-by-step explanation:

Use the volume formula, V = lwh

Plug in the volume, width, and height, then solve for l (the length)

V = lwh

70 = (l)(2)(7)

70 = 14l

5 = l

So, the length of the rectangular prism is 5 m

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Describe the symmetry of the figure. Identify lines of symmetry, if any. Find the angle and the order of any rotational symmetry
Sophie [7]

Answer:

see below

Step-by-step explanation:

Clearly, if you turn the figure sideways or upside down (rotate 90° or 180°), you do not have the same figure. It has no rotational symmetry.

However, if you reverse it left-to-right, you get exactly the same figure. So, it has line symmetry about a vertical center line.

5 0
3 years ago
Stretch your thinking, solve the story problem. Draw comparison bars. There were 11 hikers here yesterday. There are 4 hikers he
lara [203]
11-4=7 your welcome
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3 years ago
PLEASE HELP ME <br>...This is my homework and I don't understand how to do it.​
musickatia [10]

The probability that a point chosen at random lies in the shaded region is 0.28

<h3>Calculating the area of a shaded region and probability</h3>

From the question, we are to find the probability that a point chosen at random lies in the shaded region.

The shaded region is a triangle.

The probability that a point chosen at random lies in the shaded region = Area of the triangle / Area of the circle

First, we will calculate the unknown side of the triangle

Let the unknown side be x.

Then, from the <em>Pythagorean theorem</em>, we can write that

12² = 6² + x²

144 = 36 + x²

x² = 144 - 36

x² = 108

x = √108

x = 6√3

From formula,

Area of a triangle = 1/2 × base × height

Area of the triangle = 1/2 × 6 × 6√3

Area of the triangle = 18√3 square units

Now, we will determine the area of the circle

Area of a circle = πr²

Where r is the radius

From the given information,

Diameter of the circle = 12

But,

Radius = Diameter / 2

Therefore,

r = 12/2

r = 6

Thus,

Area of the circle = 3.14 × 6²

Area of the circle = 113.04 square units

Now,

The probability that a point chosen at random lies in the shaded region = 18√3 / 113.04

The probability that a point chosen at random lies in the shaded region = 0.2758

The probability that a point chosen at random lies in the shaded region ≈ 0.28

Hence, the probability is 0.28

Learn more on Calculating area of a shaded region here: brainly.com/question/23629261

#SPJ1

4 0
1 year ago
How to convert m into mm​
ArbitrLikvidat [17]

Answer:

Multiply value in mm by 1000

Step-by-step explanation:

For example, 3m = (3 * 1000)mm

                            = 3000mm

3 0
3 years ago
Read 2 more answers
Two dogs run around a circular track 300 m long. One dog runs at a steady rate of 15m per second, the other at a steady rate of
mihalych1998 [28]

Answer:

300 seconds

Step-by-step explanation:

The first dog run at v₁ = 15 m/sec     the second one run at  v₂ = 12 m/sec

we know that  d = v*t  then  t  =  d/v

Then the first dog will take  300/ 12  =  25 seconds to make a turn

The second will take   300 / 15   =   20 seconds to make a turn

Then the first dog in 12 turns 12*25 will be at the start point, and so will the second one at the turn 15.

To check  first dog    12 *  25 = 300

And the second dog 15 * 20 = 300

That means that time required for the two dogs to be at the start point together is

300 seconds, in that time the first dog finished the 12 turns, and the second had ended the 15.

Another procedure to solve this problem is as follows:

between  12  m/sec and  15 m/sec   the minimum common multiple  is 300 ( 300 is the smaller number that accept 12 and 15 as factors         12*15 = 300) Then when time arrives at 300 seconds the two dogs will be again in the starting point

3 0
2 years ago
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