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ziro4ka [17]
3 years ago
6

A rectangular prism is 12 cm long, 6 cm wide and 5 cm high. What is the volume of the rectangular prism?

Mathematics
1 answer:
AVprozaik [17]3 years ago
7 0

Answer:

360cm

Step-by-step explanation:

Volume=mass

volume

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Given:  m∠p =47BD∥AC <br> What is the m∠n?<br><br> Put only the number. Do not label your answer.
sp2606 [1]

Answer: 47\°

Step-by-step explanation:

You need to analize the information provided in the exercise.

Observe the given figure.

You know that the line AC and and the line BD are parallel and they are cut by a transversal.

By definition, the pair of angles created by this intersection and are located inside the parallel lines and on opposite sides of the transversal, are called "Alternate Interior Angles".

Alternate Interior Angles are congruent, which means that they have equal measure.

Knowing this, you can identify that the angle "p" and the angle "n" are  Alternate Interior Angles, therefore:

m\angle p=m\angle n=47\°

6 0
4 years ago
t hits the square dartboard shown below at a random point. Find the probability that the dart lands in the shaded circular regio
masha68 [24]

Given:

Required:

To find the probability that the dart land will be in the shaded region.

Explanation:

Area of the circle is given by the formula:

A=\pi r^2

Where r = radius

Thus the area of the circular region

\begin{gathered} =(3.14)\times(2)^2 \\ =3.14\times4 \\ =12.56\text{ square in.} \end{gathered}

The area of the square is given by the formula:

=(side)^2

Thus the area of the given square

\begin{gathered} =(6)^2 \\ =36\text{ square in.} \end{gathered}

The probability of an event is given by the formula:

P=\frac{number\text{ of possible outcomes}}{Total\text{ number of outcomes}}

The probability that the dart land will be in the shaded region

=\frac{Area\text{ of the shaded region}}{Area\text{ of the square}}

Thus probability

\begin{gathered} P=\frac{12.56}{36} \\ P=0.3488 \\ P=0.349 \end{gathered}

Final answer:

Thus the probability that the dart land will be in the shaded region is 0.349.

6 0
1 year ago
Is this question correct?
Andrews [41]

Answer:

10^20

3^11

3^24

10^12

Step-by-step explanation:

(10^2)^10=10^2*10=10^20

3^3*3^8=3^3+8=3^11

(3^3)^8=3^3*8=3^24

10^2*10^10=10^2+10=10^12

6 0
3 years ago
The graph shows two polygons ABCD and A′B′C′D′.
stellarik [79]

Answer:

Translate ABCD down 1, then reflect it over the y-axis

and

Reflect ABCD over the y-axis, then translate down 1

Step-by-step explanation:

First of all, the two steps are the same, just in a different order

Second, if you look at the instructions you can see what would happen to the quadrilateral. Reflecting over the y-axis would make the shape flip horizontally (left to right), as shown in the image. This means the points on the left move to the right, and the points on the right move to the left. Top and bottom points stay the same. And the "translation" just means to slide. In both the answers, it says "translate 1 unit down", which just means "move 1 unit down", which is exactly what happens in the image

7 0
3 years ago
Read 2 more answers
Solve: <br> x+y=5<br> x-4y=20
WARRIOR [948]

Answer:

x=8

y=-3

Step-by-step explanation:

let

x+y=5........ equation 1

x-4y=20....... equation 2

x=20+4y

substituting the value of x in eq 1

x+y=5

20+4y+y=5

5y=5-20

y=-15/5

y=-3

again putting the value of y in eq 2

x=20+4y

x=20+4(-3)

x=20-12

x=8

6 0
2 years ago
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