What is the slope of A and B

3. A balancing balloon toy is in the shape of a hemisphere (half-sphere) attached to the base of a cone. If the toy is 4ft tall

Katen [24]

Answer:

The volume of the toy is $V=5.23\ ft^3$

Step-by-step explanation:

step 1

Find the volume of the hemisphere

The volume of the hemisphere is given by the formula

$V=\frac{2}{3}\pi r^{3}$

In this problem, the wide of the toy is equal to the diameter of the hemisphere

so

$D=2\ ft$

$r=2/2=1\ ft$ ----> the radius is half the diameter

substitute

$V=\frac{2}{3} \pi (1)^{3}=\frac{2}{3} \pi\ ft^3$

step 2

Find the volume of the cone

The volume of the cone is given by

$V=\frac{1}{3}\pi r^{2}h$

we know that

The radius of the cone is the same that the radius of the hemisphere

so

$r=1\ ft$

The height of the cone is equal to subtract the radius of the hemisphere from the height of the toy

$h=4-1=3\ ft$

substitute the given values

$V=\frac{1}{3}\pi (1)^{2}(3)=\pi\ ft^3$

step 3

Find the volume of the toy

we know that

The volume of the toy, is equal to the volume of the cone plus the volume of the hemisphere.

so

$V=(\frac{2}{3} \pi+\pi)\ ft^3$

$V=(\frac{5}{3}\pi)\ ft^3$

assume

$\pi=3.14$

$V=\frac{5}{3}(3.14)=5.23\ ft^3$

5 0

3 years ago

Use the rational zeroes theorem to write the

scoundrel [369]

The y factors of the given quadratic equation is -1 and 40/22.

According to the statement

we have given that the equation and we have to find the factors of those equation.

So, The given equation is:

$Y =x^2-23x^2 + 18x+40$

where y is the factors of that equation.

So, we have to find the factors of the given quadratic equation.

$x^2-23x^2 + 18x+40 = 0$

Then after solving it become

$-22x^2 + 18x+40 = 0$

Then take negative sign common from it then

$22x^2 - 18x - 40 = 0$

Make the factors of this quadratic equation

$22x^2 + 22x -40x - 40 = 0$

Now take common values 22x and 40 from the equation then

$22x (x + 1) -40 (x + 1) = 0$

Then it become

$(22x - 40) (x + 1) = 0$

Then the values of x become from the equation is

$x = -1, x= 40/22$

The value of the factors y is -1 and 40/22.

So, The y factors of the given quadratic equation is -1 and 40/22.

Learn more about Quadratic equation here

brainly.com/question/24334139

#SPJ1

8 0

1 year ago

Two angles form a linear pair. If the measure of one angle is 47, what is the degree measure of the other angle?

cupoosta [38]

Answer:

The other angle would be equal to 133 degrees.

Step-by-step explanation:

All linear pairs are supplementary angles, which means that they are equal to 180. So we can find the second angle by using the following angle.

47 + x = 180

x = 133

8 0

2 years ago

Find the value of x for this figure

Lera25 [3.4K]

Answer:

x = 101°

Step-by-step explanation:

15 + 25 + 39 + x = 180

79 + x = 180

x = 101

8 0

2 years ago

Read 2 more answers

Shawn Fitzgerald finds a suitable property and agrees upon a selling price of $137,900. The mortgage company requires a 20% down

Phantasy [73]

Amount financed
137,900−137,900×0.20
=110,320
number of thousands
110,320÷1,000
=110.32
Multiply it by the monthly payment per thousands
110.32×7.34
=809.7488
Now multiply it by the number of months in a year
809.7488×12 months
=9,716.9856
Multiply it by the number of years
9,716.9856×30
=291,509.568
Now the total amount of interest charged
291,509.568−110,320
=181,189.568 round your answer
=181190...answer

Hope it helps

4 0

2 years ago

Read 2 more answers