a balloon is inflated such as its radius is 7.00 cm. What is the volume of air inside the balloon in mL

This pencil cup is made out of plastic. It is 5 inches tall and has a radius of 1.75 inches. How many square inches of plastic w

Dmitry [639]

Answer:

To make the cup 64.57 square inches of plastic were used.

Step-by-step explanation:

A cup has the format of a cylinder with a open top. The surface area of the cup is given by the area of it's base (a circle) and the area of it's walls, wich can be seen as rectangle where the width is the length of the circle at the base and the height is the height of the cylinder. So we have:

area of the base = pi*r^2 = 3.14*(1.75)^2 = 3.14*3.0625 = 9.616 square inches

area of the walls = 2*pi*r*h = 2*3.14*(1.75)*5 = 54.95 square inches

surface area of the cup = area of the base + area of the walls = 9.616 + 54.95

surface area of the cup = 64.57 square inches

To make the cup 64.57 square inches of plastic were used.

3 0

2 years ago

A garden supply store sells two types of lawn mowers. Total ales of mowers for the year were $8379.70. The total number of mower

Anestetic [448]

Answer:

The number of small mowers are 19 and the large mowers are 11.

Step-by-step explanation:

Given:

A garden supply store sells two types of lawn mowers. Total sales of mowers for the year were $8379.70. The total number of mowers sold the 30. The small mower cost $249.99 and the large mower costs $329.99.

Now, to find the number of each type of mower sold.

Let the number of small mower be $x.$

And the number of large mower be $y.$

So, total number of mowers are:

$x+y=30$

$x=30-y\ \ \ ....(1)$

Now, the total sales of mowers are:

$249.99(x)+329.99(y)=8379.70$

Substituting the value of $x$ from equation (1) we get:

$249.99(30-y)+329.99y=8379.70$

$7499.7-249.99y+329.99y=8379.70$

$7499.7+80y=8379.70$

<em>Subtracting both sides by 7499.7 we get:</em>

$80y=880$

<em>Dividing both sides by 80 we get:</em>

$y=11.$

The number of large mower = 11.

Now, to get the number of small mowers we substitute the value of $y$ in equation ( 1 ):

$x=30-y\\x=30-11\\x=19.$

The number of small mower = 19.

Therefore, the number of small mowers are 19 and the large mowers are 11.

6 0

2 years ago

Complete the following two-column proof that proves the Congruent Supplements Theorem. HELP ME ASAPPPP BRO PLEASE DUED BY TONIGH

LiRa [457]

Answer:

21 savae just relased an album

Step-by-step explanation:

So get off math a listen 2 it make me brainly daddy

4 0

2 years ago

A segment has endpoints A (-1, 1) and B (8, 4) . If the segment is divided into four equal parts, the coordinates of the point c

riadik2000 [5.3K]

Line is divided into 4 equal parts.

we have to find a point which is closest to point A.

So that means required point P(x,y) is at 1 unit away from A(-1,1) and 3 unit away from B(8,4)

Now we just need to use section formula to get the coordinate of required point using m1=1 and m2=3

$\left ( \frac{m_1x_2+m_2x_1}{m_1+m_2} , \frac{m_1y_2+m_2y_1}{m_1+m_2} \right )$

$= \left ( \frac{1*8+3*(-1)}{1+3} , \frac{1*4+3*1}{1+3} \right )$

$= \left ( \frac{8-3}{4} , \frac{4+3}{4} \right )$

$= \left ( \frac{5}{4} , \frac{7}{4} \right )$

So the final answer is $\left ( \frac{5}{4} , \frac{7}{4} \right )$ .

6 0

2 years ago

Read 2 more answers

HURRY! Which table represents a linear function?

jeka94

Remember that to tell if a function is linear for a table, you should look for a constant rate of change, and the only function that has a constant rate of change is the first one. $x$ is increasing by 1, and $y$ is increasing by 0.5.

Now that we know that, lets find the equation of our table.
First, lets take tow points from our table: (1, $\frac{1}{2}$ ) and $(2,1)$ .
Next, use the slope formula: $m= \frac{y_{2}-y_{1}}{x_{2}-x_{1} }$
We know for our points that $y_{2}=1$ , $y_{1}= \frac{1}{2}$ , $x_{2}=2$ , and $x_{1}=1$ , so lets replace those point in our formula to find $m$ :
$m= \frac{1- \frac{1}{2} }{2-1}$
$m= \frac{1}{2}$

Finally, we can use the point slope formula $y-y_{1}=m(x-x_{1})$ to find our equation:
$y- \frac{1}{2} = \frac{1}{2} (x-1)$
$y- \frac{1}{2} = \frac{1}{2} x- \frac{1}{2}$
$y= \frac{1}{2}x$

We can conclude that the first table represents a linear function, and its equation is $y= \frac{1}{2}x$

7 0

2 years ago