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joja [24]
4 years ago
13

if you have a cylinder with a diameter of 15 and height of 12 inches. What is the volume of the largest sphere that will fit ins

ide os it?
Mathematics
1 answer:
Lapatulllka [165]4 years ago
3 0
If we have a cylinder with a smaller height than diameter, the height is our constricting measurement. This means that our sphere's max diameter is 12 inches.

Solving for the volume of a sphere with diameter of 12 inches:
4/3 * pi * r^3
4/3 * 3.14 * 6^3
volume = 904.32 cubic inches
You might be interested in
25,000(4+3x) =125,000
Amanda [17]
To solve this equation, first we have to use the distributive property to eliminate the parentheses on the left side of the equation.

If done correctly, your simplified equation should be 

100,000 + 75,000x = 125,000

Next, we would subtract 100,000 from both sides, resulting in the equation

75,000x = 25,000

Finally, we would divide both sides of the equation by 75,000, resulting in your final answer of 

x= 25,000/75,000

However, many mathematics teachers ask for fractional answers to be simplified.  To simplify fractions, we first find the GCF of both numbers, and then divide both the numerator and the denominator by the GCF.

The GCF of 25,000 and 75,000 is 25,000.

So, in simplest form, your final answer is 

x=1/3
6 0
3 years ago
Suppose you are making granola bars with 3 cups of oats. How much quinoa, flaxseed, and soy protein would you use would you need
Andreas93 [3]

Answer: \frac{3}{4}\ cup of quinoa, \frac{3}{8}\ cup of flaxseed, 1\ cup of soy protein.

Step-by-step explanation:

<h3> The missing table is attached.</h3>

Let be "q" the amount of cups of quinoa you'd need to use making the granolas with 3 cups of oats.

Based on the table you can write the following proportion:

\frac{\frac{1}{2} }{2}=\frac{q}{3}

Solving for "q", you get:

\frac{1}{4}=\frac{q}{3}\\\\q=\frac{3}{4}

 Let be "f" the amount of cups of flaxseed you'd need to use making the granolas with 3 cups of oats.

With the data given in the table you can write the following proportion:

\frac{\frac{1}{4} }{2}=\frac{f}{3}

Solving for "f", you get:

\frac{1}{8}=\frac{f}{3}\\\\f=\frac{3}{8}

Let be "s" the amount of cups of soy protein you'd need to use making the granolas with 3 cups of oats.

Using the table you can write this proportion:

\frac{\frac{2}{3} }{2}=\frac{s}{3}

Solving for "s", you get:

\frac{1}{3}=\frac{s}{3}\\\\s=1

6 0
3 years ago
I know that real numbers consist of the natural or counting numbers, whole numbers, integers, rational numbers and irrational nu
ra1l [238]

The imaginary unit i belongs to the set of complex numbers, denoted by \mathbb C. These numbers take the form a+bi, where a,b are any real numbers.

The set of real numbers, \mathbb R, is a subset of \mathbb C, where each number in \mathbb R can be obtained by taking b=0 and letting a be any real number.

But any number in \mathbb C with non-zero imaginary part is not a real number. This includes i.

  • "is it possible that i can use an imaginary number for a real number"

I'm not sure what you mean by this part of your question. It is possible to represent any real number as a complex number, but not a purely imaginary one. All real numbers are complex, but not all complex numbers are real. For example, 2 is real and complex because 2=2+0i.

There are some operations that you can carry out on purely imaginary numbers to get a purely real number. A famous example is raising i to the i-th power. Since i=e^{i\pi/2}, we have

i^i=\left(e^{i\pi/2}\right)^i=e^{i^2\pi/2}=e^{-\pi/2}\approx0.2079

3 0
3 years ago
A ladder leaning against a wall makes an angle of 45º with the ground. If the length of the ladder is 20 feet, find the approxim
Sveta_85 [38]

Answer:The way to answer this would be to show you a calculator's answer

Step-by-step explanation:

https://www.calculator.net/triangle-calculator.html?vc=45&vx=&vy=20&va=90&vz=&vb=45&angleunits=d&x=62&y=20

6 0
3 years ago
I need help please help me
rusak2 [61]

Answer:

Ok,You need to put the value of x that appears in the table to give you the result of h (x)

1.h(x)=4x+5

h(-5)=4(-5)+5

h(-5)= -20+5

h(-5)= -15

2.h(-1)=4(-1)+5

  h(-1)= -4+5

  h(-1)= 1

3. h(1)=4(1)+5

   h(1)=4+5

   h(1)=9

4. h(3)=4(3)+5

   h(3)=12+5

   h(3)=17

5. h(4)=4(4)+5

    h(4)=16+5

    h(4)=21

Step-by-step explanation:

  x                  h(x)

-5                    -15

-1                       1

 1                       9

 3                      17

 4                      21

I hope this help.Please give me the brainliest

4 0
3 years ago
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