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beks73 [17]
3 years ago
12

What is the volume of the solid if a 6 inch (diameter hole is drilled all the way

Mathematics
1 answer:
Tanzania [10]3 years ago
5 0

Answer:

1,467.6 cm³

Step-by-step explanation:

Volume of the solid = volume of the rectangular prism - volume of the cylinder

= L*W*H - πr²h

L = 12

W = 10

H = 16

r = ½(6) = 3

h = 16

Plug in the values

Volume of the solid = 12*10*16 - π*3²*16

= 1,920 - 452.40

= 1,467.6 cm³

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Find the x- and y-intercepts of the line that passes through ( 3, -8) and ( -4, 13).
Ivenika [448]

Answer:

x-intercept = 1/3, y-intercept = 1

Step-by-step explanation:

y = mx + b (general equation where m=gradient, b=constant)

-8 = 3m + b (from first pair of coordinates)

13 = -4m + b (from second pair of coordinates)

3m + b - (-4m + b) = -8 - 13

7m = -21

m = -3

Using one of the linear equations above:

-8 = 3(-3) + b

-8 = -9 + b

b = 1

Therefore, the linear equation is: y = -3x + 1

To find x-intercept:

Let y = 0

0 = -3x + 1

-1 = -3x

x = 1/3

To find y-intercept:

Let x = 0

y = -3(0) + 1

y = 1

Therefore the x-intercept = 1/3 and y-intercept = 1 for the line that passes through (3, -8) and (-4, 13)

5 0
3 years ago
Algebra II<br>Which is the correct statement?
Nataly_w [17]
B. g(x) is translated 2 units left. it's inside so it's a horizontal translation, and it's +2 which means it's translated left
6 0
3 years ago
Sarah ran 3/4 mile on Monday, 3/4 mile on Tuesday, and 1/4 mile on Wednesday. How many miles did Sue run in the 3 days
SCORPION-xisa [38]

Answer:

1 3/4 miles

Step-by-step explanation:

add 3/4 +3/4+1/4 to get your answer

6 0
3 years ago
What is the slope of the line that passes through the points ( −8,−1) and (-12,-2)
omeli [17]

Answer:

1/4

Step-by-step explanation:

We can find the slope of a line given two points from the formula

m = (y2-y1)/(x2-x1)

   = (-2--1)/(-12--8)

   = (-2+1)/(-12+8)

    =-1/-4

   = 1/4

6 0
3 years ago
What is the value of x in x + 129 = 237?
Yakvenalex [24]

Answer:

108

Step-by-step explanation:

237-129= 108

hope it helps

6 0
3 years ago
Read 2 more answers
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