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stealth61 [152]
2 years ago
6

I NEED HELP ASAP I WILL MARK YOU THE BRAINLIEST

Mathematics
1 answer:
Nataliya [291]2 years ago
7 0
Alternate Interior Angles. You’re welcome
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What would be the volume of (a) air (b) plastic in a ball with 25cm diameter made from plastic 2mm thick?
morpeh [17]

Answer:

Part a) The volume of the air is V=7,794.78\ cm^{3}

Part b) The volume of the plastic is V=386.45\ cm^{3}

Step-by-step explanation:

we know that

The volume of the sphere is equal to

V=\frac{4}{3}\pi r^{3}

step 1

Find the volume of the complete ball (air +plastic)

we have

r=25/2=12.5\ cm ------> the radius is half the diameter

substitute

V=\frac{4}{3}\pi (12.5)^{3}

V=8,181.23\ cm^{3}

step 2

Find the volume of the air

we have that

The plastic is 2 mm thick

Convert to cm

2 mm=2/10=0.2 cm

so

The radius of the interior of the ball is

r=12.5-0.2=12.3\ cm

substitute

V=\frac{4}{3}\pi (12.3)^{3}

V=7,794.78\ cm^{3} -----> this is the volume of the air (interior of the ball)

step 3

Find the volume of the plastic

we know that

The volume of the plastic is equal to the volume of the complete ball minus the volume of the air

so

8,181.23\ cm^{3}-7,794.78\ cm^{3}=386.45\ cm^{3}

3 0
3 years ago
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The slope of the line below is -8/7 write a point slope equation of the line using coordinates of the labeled point
faust18 [17]
Y - 4 = -8/7(x - 4)

the answer to the question is d
4 0
3 years ago
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A group of students were surveyed to find out if they like working as a camp counselor and/or as a lifeguard during summer break
MAXImum [283]
I believe that Coralle is right 
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Let A be a 5 × 4 matrix with a pivot in each column. Is A invertible? Why or why not?
erastova [34]

Answer:

Matrix A is not invertible.

Step-by-step explanation:

Invertible matrix are those matrix which are square matrix or non singular matrix.

For any matrix to be invertible, matrix should be non singular i.e. det(x)\neq 0.

But for the question given above we cannot find determinant of matrix A as it is not square matrix. so inverse of given matrix does not exist. so it is not possible to have non trival solutions.

6 0
2 years ago
X/6=x/7-5 <br> Please show work thank you so much!!
stiv31 [10]

Step-by-step explanation:

hope u like it plz follow and give thanks

5 0
2 years ago
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