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Alik [6]
1 year ago
7

A triangular prism is shown. a cylinder is cut out of the center of the prism. the triangular base has side lengths of 14 and 10

units. the heights of both the cylinder and prism are 8 units. the cylinder has a diameter of 5 units. which expression represents the volume, in cubic units, of the shaded region of the composite figure? one-half(14)(10)(8) – π(2.52)(8) one-half(14)(10)(8) π(2.52)(8) one-third (one-half)(10)(8)(14) – π(2.52)(8) one-third (one-half)(10)(8)(14) π(2.52)(8)
Mathematics
2 answers:
hichkok12 [17]1 year ago
7 0

Answer:

A

Step-by-step explanation:

edge

Whitepunk [10]1 year ago
5 0

The expression that represents the volume, in cubic units, of the shaded region of the composite figure is: A. One-half(14)(10)(8) – π(2.52)(8).

<h3>Expression</h3>

Given:

Base side length=14 and 10 units

Height=8 units

Diameter=5 units


Hence:

Expression= 1-( half 14)(10)(8) - π(2.52)(8)

Expression=1-(7) (10)(8) - π(2.52)(8)

Expression=1- (560)- 63.33

Expression=-559-63.33

Expression=-622.33

Therefore the expression that represents the volume, in cubic units, of the shaded region of the composite figure is: A. One-half(14)(10)(8) – π(2.52)(8).

Learn more about expression here:brainly.com/question/723406

#SPJ4

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HELP!!!!!
Elis [28]

Line 1 and line 4 are parallel

Step-by-step explanation:

Two lines are said to be parallel if they have same slope.

In order to compare the lines given, we have to write them all in the same form, and then compare their slopes.

Line 1:

y=\frac{1}{3}(x+6)

Applying distributive property,

y=\frac{1}{3}x+2

Line 2:

y-6 = 3x\\\rightarrow y=3x+6

Line 3:

y=-3(x-4)

Applying  distributive property,

y=-3x+12

Line 4:

3y+18=x

re-arranging,

3y=x-18\\y=\frac{1}{3}x-6

Now we have rewritten all the lines in the form y=mx+q, where m is the slope. By comparing the values of m, we see:

m_1 = \frac{1}{3}\\m_2=3\\m_3 = -3\\m_4=\frac{1}{3}

Therefore, the lines which are parallel are line 1 and line 4.

Learn more about parallel and perpendicular lines:

brainly.com/question/3414323

brainly.com/question/3569195

#LearnwithBrainly

7 0
3 years ago
Ed spoke to his cousin in Australia, who told him it was 28 degrees Celsius that day. Ed wasn’t sure if that was hot or cold, so
Allisa [31]

Answer:

82

Step-by-step explanation:

Do the equation

6 0
2 years ago
Read 2 more answers
How do you know if x is on the rhs or the lhs?
olga nikolaevna [1]

Answer:

Step-by-step explanation:

RHS means on the right hand side

And LHS means on the left hand side

So if x is one the right side of the expression ,it is on the RHS and if it is on the left side of the expression , it is on the LHS

3 0
3 years ago
Find the distance between each pair of points
dolphi86 [110]

Answer: the correct answer is 20

Step-by-step explanation:

The formula for determining the distance between two points on a straight line is expressed as

Distance = √(x2 - x1)² + (y2 - y1)²

Where

x2 represents final value of x on the horizontal axis

x1 represents initial value of x on the horizontal axis.

y2 represents final value of y on the vertical axis.

y1 represents initial value of y on the vertical axis.

From the graph given,

x2 = - 7

x1 = 5

y2 = - 7

y1 = 9

Therefore,

Distance = √(- 7 - 5)² + (- 7 - 9)²

Distance = √(- 12²) + (- 16)²

= √(144 + 256) = √400

Distance = 20

5 0
3 years ago
Njh<br><br><br><br><br><br> by how many is 3 fours of 20 greater than 3 fiths of 20?
VMariaS [17]

3

To calculate a fraction of a quantity, multiply the quantity by the numerator of the fraction and divide by the denominator

\frac{3}{4} of 20 = (3 × 20 )/4 = \frac{60}{4} = 15

\frac{3}{5} of 20 = (3 × 20 )/5 = \frac{60}{5} = 12


3 0
3 years ago
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