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4 years ago

What is 28 equal to 14 plus 7w

Mathematics

2 answers:

Kisachek [45]4 years ago

8 0

Answer:

2=w

Step-by-step explanation:

28 = 14 + 7w

-14 -14

14 = 7w

14/7 = 2

7w/7 = w

zmey [24]4 years ago

4 0

Hello there.

The answer to this problem would be 2=w. To solve, simply subtract 14 from 28. The answer would be 2. We do this since we cannot add a number to variable, so we just add or subtract the number to number. Finally, divide both sides by 7 since you want to get rid of 7w. Then your answer should be 2=w.

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The figure is made up of a cylinder, a cone, and a half sphere. The radius of the half sphere is 3 inches. What is the volume of

Irina18 [472]

Answer:

The volume of the composite figure is 84π ≅ 263.89 inches³

Step-by-step explanation

- The composite figure consists of :

# Half sphere with radius 3 inches

# Cylinder with radius 3 inches and height 6 inches

# Cone with radius 3 inches and height 4 inches

- The volume of the sphere is 4/3 π r³

∴ The volume of the half sphere = 1/2 × 4/3 π r³ = 2/3 π r³

- The volume of the cylinder is π r² h

- The volume of the cone is 1/3 π r² h

* Now lets solve the problem

- The volume of the half sphere

∵ The radius of the half sphere = 3 inches

∵ The volume of it = 2/3 π r³

∴ The volume = 2/3 × π × (3)³ = 18π inches³

- The volume of the cylinder

∵ The radius of the cylinder = 3 inches

∵ The height of the cylinder = 6 inches

∵ The volume of it = π r² h

∴ Its volume = π × (3)² × 6 = 54π inches³

- The volume of the cone

∵ The radius of the cone = 3 inches

∵ The height of the cone = 4 inches

∵ The volume of it = 1/3 π r² h

∴ Its volume = 1/3 π × (3)² × 4 = 12π inches³

- Add all the volumes to find the volume of the composite figure

∴ The volume = 18π + 54π + 12π = 84π = 263.89 inches³

* The volume of the composite figure is 84π ≅ 263.89 inches³

6 0

3 years ago

Write the other side of this equation so that this equation

LekaFEV [45]

Answer: 6(u-2)+2=6u-10

Step-by-step explanation:

Then, any value of u makes the equation true.

7 0

3 years ago

4) The line -3x + 4y = 8 is transformed by a dilation centered at the origin. Which linear equation could represent its image?

Dimas [21]

Answer:

4) The linear equation which could represent its image is y = $\frac{3}{4}$ x + 8 ⇒ (2)

5) The equation of the image of the line is y = $\frac{3}{2}$ x - 3 ⇒ (4)

Step-by-step explanation:

Dilation does not change the slope of a line but changes the y-intercept

Dilation of a line segment is longer or shorter by ratio that equal to the scale factor of dilation

The slope-intercept form of the linear equation is y = m x + b, where m is the slope of the line and b its y-intercept

Let us put the given equation in the slope-intercept form to find its slope

∵ The line -3x + 4y = 8 is transformed by a dilation centered at

the origin

- Add 3x to both sides

∴ 4y = 3x + 8

- Divide both sides by 4

∴ y = $\frac{3}{4}$ x + 2 ⇒ the equation of the line before dilation

- By comparing it with the form above, then m = $\frac{3}{4}$ , so the

equation after dilation has the same slope

∵ The slope of the line before dilation is $\frac{3}{4}$

∴ The slope of the line after dilation is $\frac{3}{4}$

∵ The equation that has the slope $\frac{3}{4}$ is y =

∴ The equation of the image of the line is y = $\frac{3}{4}$ x + 8

The linear equation which could represent its image is y = $\frac{3}{4}$ x + 8

∵ The equation of the line is y = $\frac{3}{2}$ x - 4

∵ The scale factor of dilation is $\frac{3}{4}$

- Dilation dose not change the slope of the line

∴ The slope of the image after dilation is $\frac{3}{2}$

- Dilation changes the y-intercept, to find it multiply the scale

factor of dilation by the y-intercept of the line before dilation

∵ The y-intercept of the line is (0 , -4)

- Multiply it by $\frac{3}{4}$

∵ $\frac{3}{4}$ × -4 = -3

∴ The y-intercept of the image is (0 , -3)

∴ The equation of the image of the line is y = $\frac{3}{2}$ x - 3

3 0

3 years ago

Don’t know how to solve these :l

xeze [42]

Answer:

452.16 cm²

Step-by-step explanation:

3.14 × 12² = 452.16 cm²

3 0

3 years ago

Read 2 more answers

What multiples to -18 and adds to 3

miskamm [114]

Answer:

So you can use -6 and 3

Step-by-step explanation:

Hi, there

Well you can multiply

-6 and 3 which equal to -18

-6+3=3

Hope this helps :)

3 0

3 years ago