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stira [4]
3 years ago
14

Help! If a sphere has a radius of 8mm, what is its volume? (Show work)

Mathematics
1 answer:
babymother [125]3 years ago
7 0
The formula for the volume of a sphere is V = (4/3) * π * r³. Knowing this, we can plug in the radius:

V = \frac{4}{3} \pi *8^{3} \\ V = \frac{4}{3} \pi*512 \\ V = 2144.66

The sphere's volume is approximately 2144.66 mm^3.
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I made 12 dog treats using 1 cup of peanut butter. If I want to make 36 dog treats, how much peanut butter will I need? Write a
MaRussiya [10]

Answer:

You will need 3 cups peanut butter to  make 36 dogs treats.

Peanut butter Cup  :  The dog treats made =  1: 12

Step-by-step explanation:

12 dog treats  = 1 cup  

So, by UNITARY METHOD

1 dog treat = (1/12) cup

So, 36 dog treats = 36 x (1/12) cup = 3 cups

So, you will need 3 cups peanut butter to  make 36 dogs treats.

If 1 cup = 12 Dog Treats

then 1 x 3 cup = 12 x 3 dog treats

or, 3 Cups = 36 dog treats

The ratio of the Peanut butter cup  :  The dog treats made =  1: 12

6 0
3 years ago
In rectangle abcd measure of angle d =(3x+15) measure b =(6x-42) find measure of angle a
slava [35]
5) So for parallelogram ABCD, ∠B ≅ ∠D, and ∠A ≅ ∠C. Further, ∠B and ∠A are supplementary (i.e., their sum is 180°), and ∠D and ∠C are also supplementary.
So, we have that m∠B = m∠D. Therefore, 
6x-42=3x+15\\3x=57\\x=19

Now, let's substitute for x back into the expression for either ∠B or ∠D to find it's angle measure.
m∠B = 6(19)-42=72
Now, remember that ∠B or ∠D are supplements of ∠A. 
So, m∠B + m∠A = 180°.
That means m∠A = 180° – 72° = 108°.
That seems reasonable, because A appears to be an obtuse angle.
6 0
3 years ago
Simplify the expression using properties of exponents.<br><br> 12a-9b-4<br><br> 9a2b6
Free_Kalibri [48]
Check out -m-a-t-h-w-a-y-.-c-o-m- (This helps a lot!)
5 0
3 years ago
A penguin can dive 48 meters below the surface of the water to reach a fish. It dives 2% of the total depth every 1 second.
Alenkinab [10]

Answer:

8 becaus it dives. 2 meters second so if it dives to meters every second then all you have to do is add to to 4 seconds

4 0
2 years ago
Derick solves the problem below.
Gala2k [10]

As it is proved that the equation has no solution, Derick is correct

Step-by-step explanation:

Given

-3(4n + 2) = -4n + -2 (4n - 6)

We have to solve the equation in order to check if Derick was solved the equation correctly or not.

So,

Applying distributive property first

-12n -6 = -4n -8n +12\\-12n-6 = -12n+12\\-12n+12n-6 = 12\\-6 = 12

As the variable is already cancelled in the equation there is no unique solution.

In order for an equation to have infinite solutions the constant on both sides of equation should be same which is not the case in the given equation

So,

As it is proved that the equation has no solution, Derick is correct

Keywords: Linear equations, variables

Learn more about linear equations at:

  • brainly.com/question/5510873
  • brainly.com/question/5527192

#LearnwithBrainly

3 0
3 years ago
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