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Alexus [3.1K]
3 years ago
12

How many pairs of while numbers have the sun of 110?

Mathematics
1 answer:
hammer [34]3 years ago
5 0
I'm not sure but I think it's 110÷4=27
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from right circular cylinder with height 10 cm and radius of base 6 CM a right circular cone of the same height and base is remo
djyliett [7]

Answer:

753.98 cubic cm.

Step-by-step explanation:

We have been given that from right circular cylinder with height 10 cm and radius of base 6 cm, a right circular cone of the same height and base is removed.

To find the area of remaining solid we will subtract volume of cone from volume of cylinder.

\text{Volume of remaining solid}=\text{Volume of cylinder- Volume of cone}

\text{Volume of remaining solid}=\pi r^{2} h- \frac{1}{3}\pi r^{2}h

\text{Volume of remaining solid}=\frac{3}{3}\pi r^{2} h- \frac{1}{3}\pi r^{2}h

\text{Volume of remaining solid}=\frac{2}{3}\pi r^{2} h

Upon substituting our given values in the formula we will get,

\text{Volume of remaining solid}=\frac{2}{3}\pi*6^{2}*10

\text{Volume of remaining solid}=\frac{2}{3}\pi*36*10

\text{Volume of remaining solid}=2*\pi*12*10

\text{Volume of remaining solid}=240\pi

\text{Volume of remaining solid}=753.9822368615503772\approx 753.98

Therefore, the volume of remaining solid is 753.98 cubic cm.


7 0
3 years ago
Alma bought 6 gallons of gasoline for $19.14. What was the unit price of this gasoline?
Mnenie [13.5K]

Answer:

3.19

Step-by-step explanation:

5 0
3 years ago
Show that every triangle formed by the coordinate axes and a tangent line to y = 1/x ( for x > 0)
vfiekz [6]

Answer:

Step-by-step explanation:

given a point (x_0,y_0) the equation of a line with slope m that passes through the  given point is

y-y_0 = m(x-x_0) or equivalently

y = mx+(y_0-mx_0).

Recall that a line of the form y=mx+b, the y intercept is b and the x intercept is \frac{-b}{m}.

So, in our case, the y intercept is (y_0-mx_0) and the x  intercept is \frac{mx_0-y_0}{m}.

In our case, we know that the line is tangent to the graph of 1/x. So consider a point over the graph (x_0,\frac{1}{x_0}). Which means that y_0=\frac{1}{x_0}

The slope of the tangent line is given by the derivative of the function evaluated at x_0. Using the properties of derivatives, we get

y' = \frac{-1}{x^2}. So evaluated at x_0 we get m = \frac{-1}{x_0^2}

Replacing the values in our previous findings we get that the y intercept is

(y_0-mx_0) = (\frac{1}{x_0}-(\frac{-1}{x_0^2}x_0)) = \frac{2}{x_0}

The x intercept is

\frac{mx_0-y_0}{m} = \frac{\frac{-1}{x_0^2}x_0-\frac{1}{x_0}}{\frac{-1}{x_0^2}} = 2x_0

The triangle in consideration has height \frac{2}{x_0} and base 2x_0. So the area is

\frac{1}{2}\frac{2}{x_0}\cdot 2x_0=2

So regardless of the point we take on the graph, the area of the triangle is always 2.

6 0
3 years ago
Yan has already finished 3/5 of the 45 math problems he was assigned today. Each math problem took him 1 4/5 of a minute to comp
kobusy [5.1K]

Answer:

He will finish the rest of the problems in 32.4 minutes.

Step-by-step explanation:

Since we are given that Yan has completed 3/5 of 45 problems i.e.

\frac{3}{5}*45

27

Thus he has completed 27 problems

Remaining no. of problems are 45-27 = 18

Since he complete each problem in minutes = 1\frac{4}{5} =\frac{9}{5} =1.8

So, he completes 18 problems in minutes = 18 *1.8 = 32.4 minutes

Hence , He will finish the rest of the problems in 32.4 minutes.


3 0
3 years ago
13. What is the positive solution to this equation? 4x2 + 18 x= 162​
MaRussiya [10]

Answer:8.5 is x but there is an extra 1

Step-by-step explanation:18x8.5=153+8=162 with an extra one is 162

3 0
3 years ago
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