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Papessa [141]
1 year ago
11

A cylinder with 3 radius and and height is 2 inches what is the volume?

Mathematics
1 answer:
VashaNatasha [74]1 year ago
3 0

Answer:

\huge\boxed{\sf V = 56.5 \ in.^3}

Step-by-step explanation:

Radius = r = 3 in.

Height = h = 2 in.

<u>Volume:</u>

\sf Volume \ of \ the \ cylinder = \pi r^2 h\\\\V = (3.14)(3)^2(2)\\\\V =(3.14)(9)(2)\\\\V = (3.14)(18)\\\\V = 56.5 \ in.^3\\\\\rule[225]{225}{2}

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A proportional relationship betweeof potatoes (x) and the price in dollars (y) is graphed, and the ordered pair (4, 3) is on the
CaHeK987 [17]
4/3 = 1/x.....4 lbs potatoes to $3 = 1 lb of potatoes to $x
cross multiply
(4)(x) = (3)(1)
4x = 3
x = 3/4
x = 0.75....so 1 lb of potatoes cost 75 cents


(8,6)...this means 8 lbs of potatoes cost $6
7 0
3 years ago
Estimate the area of Alberta in square miles. Show your reasoning
ella [17]

Answer:  About 278,250\ mi^2

Step-by-step explanation:

The missing figure is attached.

Notice in the first picture that Alberta has a complex shape.

You can calculate the area of a complex shape by decomposing it into polygons whose areas can be calculated easily.

Observe the second picture. Notice that it can be descompose into two polygons: A trapezoid and a rectangle.

The area of the trapezoid  can be calcualted with the formula:

A_t=\frac{h}{2}(B+b)

Where "h" is the height, "B" is the long base and "b" is short base.

And the area of the rectangle can be found with the formula:

 A_r=lw

Wkere "l" is the lenght and "w" is the width.

Then, the apprximate area of Alberta is:

A=\frac{h}{2}(B+b)+lw

Substituting vallues, you get:

A=(\frac{(410\ mi-180\ mi)}{2})(760\ mi+470\ mi)+(180\ mi)(760\ im)\\\\A=141,450\ mi^2+136,800\ mi^2\\\\A=278,250\ mi^2

Therefore, the area of of Alberta is about 278,250\ mi^2.

5 0
2 years ago
Max, a carpet installer, needs to calculate the amount of carpet needed to cover a floor that’s 3 1⁄2 yards wide and 4 3⁄4 yards
AlekseyPX

Answer:

13 1/2

Step-by-step explanation:

Just multiply 3.5 and 4.75

AKA

3 1/2 and 4 3/4

Change 1/2 into 2/4 so the denominators are the same

Multiply the numerators 2 and 3, you now have 6/4

3 × 4 = 12

6/4 is improper so, you need to simplify

now you have 1 1/2

Now 12 + 1 1/2 = 13 1/12

5 0
3 years ago
What is the angle that is half of its own complement?
Cerrena [4.2K]

If you have an angle and want to know its complement, you subtract it from 90 degrees. What angle, when subtracted from 90 degrees, gives the same value?

90 - x = x

The supplement of x is the angle that you add to x to make 180 degrees. In other words, 180 - x = the supplement of x.

4 0
3 years ago
The variable overhead rate variance can be defined as which of the​ following? A. Standard rate x​ (Actual hours​ - Standard hou
Katena32 [7]

Answer:

Step-by-step explanation:

In costing analysis, direct materials, labour and direct expenses aggregate to prime cost.  Alternately, the aggregate of indirect materials, labour  and expenses is termed as overhead.  Overheads are classified into fixed and variable.

Variable overhead is one which varies directly as per number of units produced

Variable overhead rate variance = actual costs -(AHxSR)

= Actual costs - (Actual hours x std rate)

= Actual hours x actual rate - actual hours  x std rate

Hence option D is right.

5 0
3 years ago
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