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1 year ago

I think I have the answer, but would like to check my work

Mathematics

1 answer:

notsponge [240]1 year ago

4 0

Notice that we can calculate the area of the square and the rectangle separately to get the following:

$\begin{gathered} A_1=3\cdot3=9in^2 \\ A_2=9\cdot2=18in^2 \\ \Rightarrow A=A_1+A_2=9+18=27in^2 \end{gathered}$

therefore, the total area is 27 in^2

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the equation y = 1/5x represents a proportional relationship. explain how you can tell the relationship is proportional from the

Pachacha [2.7K]

Answer:

Yes, y = $\frac{1}{5}$ x represents a proportional relationship and the constant of proportionality is $\frac{1}{5}$

Step-by-step explanation:

<em>The Proportional is a relationship between two quantity one of them equals the product of the other and a constant, where this constant called the constant of proportionality </em>

If x and y are proportion, then y = k x, where k is the constant of proportionality

The proportional relationship represented graphically by a line passing through the origin point (0, 0)

Let us solve the question

∵ y = $\frac{1}{5}$ x

→ It the same as the form of the proportional equation above

∵ $\frac{1}{5}$ is a constant

∴ y is the product of x and constant

∴ y = $\frac{1}{5}$ x represents a proportional relationship

Substitute x by 0 to find y and show it represented by a line passing through the origin

∵ x = 0

∴ y = $\frac{1}{5}$ (0) = 0

→ That means point (0, 0) lies on the line which represents the equation

∴ The line which represents this relation is passing through the origin

∴ y = $\frac{1}{5}$ x represents a proportional relationship

∵ y = kx, k is the constant of proportionality

∵ y = $\frac{1}{5}$ x

∴ k = $\frac{1}{5}$

∴ The constant of proportionality is $\frac{1}{5}$

5 0

4 years ago

A cylindrical tank is filled with 66.85 mm3 of fuel. The area of the base of the cylinder is 15 mm2. What is the height of the f

Rashid [163]

Volume = (Area of the base)x(Height)
66.85 = 15(H)
66.85/15 = H
H = 4.4567

The height is 4.4567mm.

3 0

4 years ago

A line is passing through (7,-3) and it’s slope is -1/2, white the equation in point slope form

Crank

Equation of the line in point slope form is y + 3 = -1/2(x - 7)

Step-by-step explanation:

Step 1: Given slope of the line is -1/2 and passes through the point (x1, y1) = (7, -3). Equation in point slope form is y - y1 = m(x - x1)

⇒ y - (-3) = -1/2(x - 7)

⇒ y + 3 = -1/2(x - 7)

3 0

3 years ago

What is 6,000,000,000,000 in scientific notation.

Scilla [17]

Hello,

Shall we begin?

6,000,000,000,000
= 6 * 10 ^12

Answers: 6*10^12

5 0

4 years ago

Find the area of a circle that has a radius of 14 feet. Approximate Π as 3.14. Round your answer to the nearest hundredth.

puteri [66]

Area of a circle = (pi)r^2

therefore: A = (3.14)(14^2)

A = 615.44 square feet

4 0

3 years ago