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tatyana61 [14]
3 years ago
10

Write words to match the expression 3+ (4 times 12)

Mathematics
1 answer:
valentinak56 [21]3 years ago
8 0

Three added to the product of four and twelve

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9. 1/3(x+6) =8
babunello [35]
9.       ¹/₃(x + 6) = 8
    ¹/₃(x) + ¹/₃(6) = 8
           ¹/₃x + 2 = 8
           <u>       - 2  - 2</u>
            3 · ¹/₃x = 6 · 3
                     x = 18

15.       ¹/₅(x + 10) = 6
      ¹/₅(x) + ¹/₅(10) = 6
                ¹/₅x + 2 = 6
                <u>       - 2  - 2</u>
                 5 · ¹/₅x = 4 · 5
                         x = 20

20.       ¹/₈(24x + 32) = 10
      ¹/₈(24x) + ¹/₈(32) = 10
                     3x + 4 = 10
                     <u>      - 4   - 4</u>
                           <u>3x</u> = <u>6</u>
                            3     3
                             x = 2

32.        5 - ¹/₂(x - 6) = 4
      5 - ¹/₂(x) - ¹/₂(-6) = 4
              5 - ¹/₂x + 3 = 4
              5 + 3 - ¹/₂x = 4
                    8 - ¹/₂x = 4
                 <u>- 8            - 8</u>
                -2 · (-¹/₂x) = -4 · (-2)
                             x = 8

33.      ²/₃(3x - 6) = 3
     ²/₃(3x) - ²/₃(6) = 3
                2x - 4 = 3
                <u>    + 4 + 4</u>
                     <u>2x</u> = <u>7</u>
                      2     2
                       x = 3¹/₂
8 0
3 years ago
Read 2 more answers
The formula for finding the area of a square that has a side length, s, is A = s2. If a square has an area of 40 square units, w
lesya [120]
The length of side can be calculated as 
<span>s = √40
   = √4x10
   = 2√10</span>
5 0
3 years ago
Read 2 more answers
Help meez 40 pts use surface area formula of cylinder that is for Lateral surface area and for total surface area
jeka94

Answer:So the radius of the cylinder is 2.65 cm.

A cylinder can be defined as a solid figure that is bound by a curved surface and two flat surfaces. The surface area of a cylinder can be found by breaking it down into 2 parts:

1.  The two circles that make up the caps of the cylinder.

2.  The side of the cylinder, which when "unrolled" is a rectangle.

The area of each end cap can be found from the radius r of the circle, which is given by:

A = πr2

Thus the total area of the caps is 2πr2.

The area of a rectangle is given by:

A = height × width

The width is the height h of the cylinder, and the length is the distance around the end circles, or in other words the perimeter/circumference of the base/top circle and is given by:

P = 2πr

Thus the rectangle's area is rewritten as:

A = 2πr × h

Combining these parts together we will have the total surface area of a cylinder, and the final formula is given by:

A = 2πr2 + 2πrh

where:

π  is Pi, approximately 3.142

r  is the radius of the cylinder

h  height of the cylinder

By factoring 2πr from each term we can simplify the formula to:

A = 2πr(r + h)

The lateral surface area of a cylinder is simply given by: LSA = 2πr × h.

Example 1: Find the surface area of a cylinder with a radius of 4 cm, and a height of 3 cm.

Solution:

SA = 2 × π × r2 + 2 × π × r × h

SA = 2 × 3.14 × 42 +  2 × 3.14 × 4 × 3

SA = 6.28 × 16 + 6.28 × 12

SA = 100.48 + 75.36

SA = 175.84

Surface area = 175.84 cm2

Example 2: Find the surface area of the cylinder with a radius of 5.5cm and height of 10cm.

Solution:

The radius of cylinder = 5.5 cm.

The height of cylinder = 10 cm.

The total surface area of the cylinder is therefore:

TSA = 2πr(r+h)

TSA = 11π (5.5+10)

TSA = 170.5 π

TSA = 535.6 cm2

Example 3: Find the total surface area of a cylindrical tin of radius 17 cm and height 3 cm.

Solution:

Again as in the previous example:

TSA = 2πr(r+h)

TSA = 2π× 17(17+3)

TSA = 2π×17×20

TSA = 2136.56 cm2

Example 4: Find the surface area of the cylinder with radius of 6 cm and height of 9 cm.

Solution:

The radius of cylinder: r = 6 cm

The height of cylinder: h = 9 cm

Total surface area of cylinder is therefore:

TSA = 2πr(r + h)

TSA = 12π (6+9)

TSA = 180 π

TSA = 565.56 cm2

Example 5: Find the radius of cylinder whose lateral surface area is 150 cm2 and its height is 9 cm.

Solution:

Lateral surface area of cylinder is given by:

LSA = 2πrh

Given that:

LSA = 150cm2

h = 9cm

π is the constant and its value = 3.14

Substitute the values in the formula and find the value of r by isolating it from the equation:

LSA = 2πrh

150 = 2× π × r × 9

r = 150 / (2×9× π)

r = 2.65cm

So the radius of the cylinder is 2.65 cm.

5 0
2 years ago
A + (b + c) = (A + b) + c<br><br><br> What property is this equation
Free_Kalibri [48]

Answer:

Step-by-step explanation:

Associative property

7 0
3 years ago
"Mia jogs 3 kilometers in 20 minutes. There are about 0.6 miles in a kilometer. What is Mia’s approximate speed in miles per min
Nataly [62]
B. 0.09 miles per minute
4 0
3 years ago
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