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In-s [12.5K]
2 years ago
14

Show work please find the volume of the following irregular space figure to the nearest whole number

Mathematics
1 answer:
artcher [175]2 years ago
8 0

Answer:

144cm^3

Step-by-step explanation:

1) split the figure so you can find the volume of two rectangular prisms.

2) Find the volume of the first rectangular prism with the measurements of 2,       5, and 8. So the volume is 80

3) Find the volume of the second rectangular prism with the measurements of 4, 2, and 8. So you have 64

4) Add the two values 80+64.

5) Then that's your answer; 144

Hope this helps! :D

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3 years ago
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You deposit $10,000 in an account that pays 4.5% interest compounded quarterly. Find the future value after one year. ​
Dominik [7]

Answer:

11800

Step-by-step explanation:

4.5%=0.045

0.045x10,000=450

450x4(quarterly)=1800

10,000+1800= 11800

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Rudy has been paying an annual homeowners insurance premium of $1,106.30 ($0.37 per $100 of value) since
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Answer:

c. $1,291.30

Step-by-step explanation:

Calculation what will his new annual homeowners insurance premium be

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Therefore what his new annual homeowners insurance premium will be is $1,291.30

5 0
3 years ago
Which points are on the perpendicular bisector of the given segment? Check all that apply. Please explain how you got your answe
ser-zykov [4K]
First, you have to find the equation of the perpendicular bisector of this given line. 
to do that, you need the slope of the perpendicular line and one point.
Step 1: find the slope of the given line segment. We have the two end points (10, 15) and (-20, 5), so the slope is m=(15-5)/(10-(-20))=1/3
the slope of the perpendicular line is the negative reciprocal of the slope of the given line, m=-3/1=-3 
step 2: find the middle point: x=(-20+10)/2=-5, y=(15+5)/2=10      (-5, 10)
so the equation of the perpendicular line in point-slope form is (y-10)=-3(x+5)

now plug in all the given coordinates to the equation to see which pair fits:
(-8, 19): 19-10=9, -3(-8+5)=9, so yes, (-8, 19) is on the perpendicular line. 

try the other pairs, you will find that (1,-8) and (-5, 10) fit the equation too. (-5,10) happens to be the midpoint. 

4 0
3 years ago
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Can anybody help me with this
lys-0071 [83]

Answer:

a, y =3/x

x = 0.5 => y = 3/0.5 = 6

x = 1 => y = 3/1 = 3

x = 2 => y = 3/2 = 1.5

x = 3 => y = 3/3 = 1

x = 4 => y = 3/4 = 0.75

b,

y = 3/x passes (0.5, 6) => A is correct

Hope this helps!

6 0
3 years ago
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