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malfutka [58]
2 years ago
14

If the diameter of the red marble is 3.0 cm, and by using the formula for volume, what is a good approximation of its volume?

Mathematics
1 answer:
atroni [7]2 years ago
6 0
You can solve for volume using radius or diameter.
Sphere Volume   = <span>  4/3 • <span>π <span>• r³ <span>    =     <span>( <span>π <span>•d³)/6
We're given the diameter so let's use that.
Volume = PI * d^3 / 6
</span></span></span></span></span></span></span>
<span>Volume = 3.14159 * 3.0^3 / 6
</span>
<span>Volume = 3.14159 * 9 / 2

</span><span><span><span><span>Volume = </span>14.137 cubic centimeters
 </span></span></span>

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NemiM [27]

23.25 hours because if you can divide 279 hours (michael) divided by  12, you would get 23 hours and 25minutes

6 0
3 years ago
In ∆ABC, m∠ACB = 90°, m∠A = 40°, and D ∈ AB such that CD is perpendicular to side AB. Find m∠DBC and m∠BCD.
podryga [215]

Answer:  ∠B = 50°

               ∠BCD = 40°

<u>Step-by-step explanation:</u>

ACB is a right triangle where ∠A = 40° and ∠C = 90°.

Use the Triangle Sum Theorem for ΔABC to find ∠B:

∠A + ∠B + ∠C = 180°

40° + ∠B + 90° = 180°

         ∠B + 130° = 180°

                  ∠B = 50°

BCD is a right triangle where ∠B = 50° and ∠D = 90°.

Use the Triangle Sum Theorem for ΔBCD to find ∠C:

∠B + ∠C + ∠D = 180°

50° + ∠C + 90° = 180°

         ∠C + 140° = 180°

                  ∠C = 40°

8 0
3 years ago
Ramon took out a car loan with an interest rate of 10 percent and paid $100 in loan application fees. What term describes the am
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<span>The term describes the amount of interest Ramon will pay is APR, annual percent rate which is 10%. The term annual percentage rate of charge (APR<span>), corresponding sometimes to a nominal </span>APR<span> <span>and sometimes to an effective </span></span>APR<span> <span>(or EAPR), describes the interest rate for a whole year (annualized), rather than just a monthly fee/rate, as applied on a loan,<span> </span></span></span></span>
7 0
3 years ago
Given: ​△ACE, BD​∥AE<br><br> Prove: BA/CB=DE/CD<br><br> Drag
gizmo_the_mogwai [7]

Answer:


Step-by-step explanation:

Angle 4 = angle 1 and angle 3 =angle 2        Corresponding angles for two        parallel lines BD and AE

Triangle AED ||| BDE                                       Angle angle congruent

...                                                                       By compendo and dividendo

Thus proved

Since two lines are parallel we have corresponding angles equal and also

sides will be proportional in similar triangles

Using that and adjusting compendo and dividendo we get the desired result

6 0
3 years ago
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