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Tcecarenko [31]
3 years ago
6

Solve for x: -1 1/2 x + 1 = −x + 8

Mathematics
1 answer:
astraxan [27]3 years ago
6 0
-1 1/2x + 1=8
-1/2x=7
X=-14
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The height of a right circular cylinder is 1.5 times the radius of the base. What is the ratio of the total surface area to the
Naily [24]

Let r represent the radius of cylinder.

We have been given that the height of a right circular cylinder is 1.5 times the radius of the base. So the height of the cylinder would be 1.5r.

We will use lateral surface area of pyramid to solve our given problem.

LSA=2\pi r h, where,

LSA = Lateral surface area of pyramid,

r = Radius,

h = height.

Upon substituting our given values in above formula, we will get:

LSA=2\pi r\cdot (1.5)r  

Now we will find the total surface area of cylinder.

TSA=2\pi r(r+h)

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TSA=2\pi r(2.5r)

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\frac{TSA}{LSA}=\frac{2.5r}{1.5r}

\frac{TSA}{LSA}=\frac{25}{15}

\frac{TSA}{LSA}=\frac{5}{3}

Therefore, the ratio of total surface area to lateral surface area is 5:3.

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we know that

diameter of the base of a cylindrical can= 4 in----------> r=2 in

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then

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Which equations and/or functions represent the graphed line? Select three options.
Zarrin [17]

Answer:

f(x) = 0.5x + 2

f(x) = 1/2x + 2

y - 3 = 1/2(x - 2)

y - 1 = 0.5(x + 2)

Step-by-step explanation:

In the figure attached, the graphed line is shown.

The missing options are:

<em>f(x) = 0.2x - 4 </em>

<em>f(x) = 0.5x + 2  </em>

<em> f(x) = 1/2x + 2 </em>

<em> y – 3 = 1/2(x – 2) </em>

<em> y – 1 = 0.5(x + 2)</em>

From the picture, we can see that points (0, 2) and (2, 3) are on the line. Then, the slope of the line is:

m = (3 - 2)/(2 - 0) = 1/2 = 0.5

The y-intercept is (0, 2), or b = 2

Therefore, in the slope y-intercept form, the equation is:

f(x) = mx + b

f(x) = 1/2x + 2 = 0.5x + 2

In the point-slope form, the equations is:

y - y1 = m(x - x1)

y - 3 = 1/2(x - 2)

Using point (-2, 1), in the point-slope form, the equation is:

y - y1 = m(x - x1)

y - 1 = 0.5(x + 2)

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3 years ago
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