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Dvinal [7]
3 years ago
15

I need help with these two problems !!

Mathematics
1 answer:
wolverine [178]3 years ago
4 0

Not so sure about the second one, but the first one is pretty simple:

The area of a circle = pi x radius^2

Since you need to find the area of the entire dvd, I'm assuming they mean if the hole in the center wasn't there, so add that to the diameter.

12+1.5 = 13.5

Half of the diameter is the radius, so half of 13.5 = 6.75

Now, multiply pi (3.14) by the radius, but have the radius squared. You'd write the equation like this:

3.14 x 6.75^2 (or on paper, the ^2 would be a small two diagonal from the 5)

Actual answer: 143.06625

You can round that to 143.

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A construction worker fills a mold with concrete. This solid figure represents the mold.
nadezda [96]

Answer:

volume = 338 x 20 = 6760 cm^3

Step-by-step explanation:

large rectangular top area = 14 x 22 = 308 cm^2

small rectangular top area = 6x5 = 30 cm^2

total top area = 308 + 30 = 338 cm^2

volume = 338 x 20 = 6760 cm^3

4 0
3 years ago
What is the volume of a sphere with a radius of 5.9 in, rounded to the nearest tenth of a cubic inch?
Lynna [10]

\textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=5.9 \end{cases}\implies V=\cfrac{4\pi (5.9)^3}{3}\implies V\approx 860.3~in^3

7 0
1 year ago
PLEASE HELP ASAP 25 PTS + BRAINLIEST TO RIGHT/BEST ANSWER
mash [69]

Answer:

(-6,9,-3)

Step-by-step explanation:

-3x -y +z=6

-3x-y+3z =0

x-3z =3

Multiply the second equation by -1

-1 *(-3x-y+3z) =0*-1

3x +y -3z =0

Add this to the first equation

-3x -y +z=6

3x +y -3z =0

----------------------

0 + 0 + -2z = 6

Divide by -2

-2z/-2 = 6/-2

z = 6/-2

z=-3


Take the third equation to find x

x-3z=3

x-3(-3) = 3

x+9=3

Subtract 9 from each side

x+9-9 =3-9

x=-6

Now we need to find y

3x +y -3z =0

3(-6) +y -3(-3) =0

-18 +y +9=0

-9+y =0

Add 9 to each side

-9+9+y = 0+9

y=9

(-6,9,-3)

3 0
3 years ago
Read 2 more answers
An electrician needs to cut a 49 m piece of wire into two pieces so that one piece is 5 m longer than the other piece. What is t
gulaghasi [49]

The length of the shorter wire that the electrician cuts so that the difference between those two is of 5 m is 22.5.

Given to us

An electrician needs to cut a 49 m piece of wire into two pieces so that one piece is 5 m longer than the other piece.

<h3>What are the two equal parts of the wire?</h3>

We know that the length of the wire is 49 m, therefore, to cut the wire in two equal parts divide the total length of the wire by two,

\dfrac{49}{2} = 24.5

Thus, the length of each side will be 24.5.

<h3>What is the length of the shorter piece of wire?</h3>

Since we need to cut the wire such that one side of the wire is 5 less than the other, we already know the length of the equal sides deduct (5/2) from both sides to create a difference between the length of the wire.

Length of the shorter wire = 24.5 -2.5 = 22.5

Length of the longer wire = 22.5 + 5 = 27.5

Hence, the length of the shorter wire that the electrician cuts so that the difference between those two is of 5 m is 22.5.

Learn more about Lengths:

brainly.com/question/8552546

3 0
2 years ago
A bag contains a variety of different colored marbles. P( red)= 1/2, P( green) = 1/4, and P( red and green) = 1/8 , which statem
Veronika [31]

Answer:

Step-by-step explanation:

The 1 choice. The events are independent because P(red) ×P(green)= P(red and green)

6 0
3 years ago
Read 2 more answers
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