1.) Set up an equation.
All of the angles in a triangle have a sum of 180°. This means that in order to solve this problem, you have to add up all of the angle measures. Since we already know they add up to 180°, then the algebraic equation will look like:
2.) Simplify.
We can see that there are two variables and two known numbers. To make the equation simpler, add up the numbers that are compatible with each other.
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3.) Isolate y.
If 180 is 44 more than 2y, then that means we can flip this and say that 2y is 44 less than 180. Numerically, this would be:
--> 
---> 
Isolate y using the same concept.
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We are left with 
.
4.) Check your work.
Now that we know the value of y, all that's left to do is to plug in the value to see if your answer is true.
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---> 
So we know it is true that y = 68°. Hope this was helpful.
Since
![\sqrt[3]{32}\not\in\mathbb Z](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B32%7D%5Cnot%5Cin%5Cmathbb%20Z)
, you can omit B and C as possible solutions.
Now,
but since 16 is not divisible by 3, A is not correct either.
So D is the answer. To verify:
Answer:
540 inches per hour!!
Step-by-step explanation:
Answer:
24×3.5%=0.84 so round to nearest tenth is 0.9.
Step-by-step explanation:
Answer:
To know if Nicholas is correct
4(540π) inches³ ≥ 2304π inches³
Unfortunately, 2160π inches³ is less than 2304π inches³. This means Nicholas is absolutely wrong .4 times the volume of the cylindrical bucket is less than the volume of the spherical tank.
Step-by-step explanation:
The question wants you to look for the volume of the cylindrical bucket and the spherical bucket and know if 4 times the volume of the cylindrical bucket will fill the spherical tank.
volume of a cylinder = πr²h
where
r = 6 inches
h = 15 inches
volume of the cylinder bucket = πr²h
volume of the cylinder bucket= π × 6² × 15
volume of the cylinder bucket = π × 36 × 15
volume of the cylinder bucket = 540π inches³
volume of the spherical storage container
volume = 4/3πr³
r = 24/2 = 12 inches
volume = 4/3 × π × 12³
volume = 4/3 × π × 1728
volume = 6912π/3
volume = 2304π inches³
To know if Nicholas is correct 4(540π) inches³ ≥ 2304π inches³
Unfortunately, 2160π inches³ is less than 2304π inches³. This means Nicholas is absolutely wrong .4 times the volume of the cylindrical bucket is less than the volume of the spherical tank.
