Answer:
6,000 or 6 hundredths
Step-by-step explanation:
Answer:
-The volume of the cone is 100.5
.
Step-by-step explanation:
To find the volume of cone, you need the formula:
![V =\frac{1}{3} \pi r^2 h](https://tex.z-dn.net/?f=V%20%3D%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20%20r%5E2%20h)
-Use the radius and the height for the formula:
![V =\frac{1}{3} \pi 4^2 6](https://tex.z-dn.net/?f=V%20%3D%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20%204%5E2%206)
-Then, you solve:
![V =\frac{1}{3} \pi 4^2 6](https://tex.z-dn.net/?f=V%20%3D%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20%204%5E2%206)
×
× ![6](https://tex.z-dn.net/?f=6)
×
× ![6](https://tex.z-dn.net/?f=6)
× ![96](https://tex.z-dn.net/?f=96)
![V = \frac{96}{3} \pi](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B96%7D%7B3%7D%20%5Cpi)
![V = 32\pi \approx 100.53](https://tex.z-dn.net/?f=V%20%3D%2032%5Cpi%20%5Capprox%20100.53)
-Round to the nearest tenth:
![V \approx 100.5](https://tex.z-dn.net/?f=V%20%5Capprox%20100.5)
So, therefore, the volume of the cone is 100.5
.
Answer:
Step-by-step explanation:
21)
The sine rule is expressed as
a/SinA = b/SinB = c/SinC
Where a, b and c are the length of each side of the triangle and angle A, Angle B and angle C are the corresponding angles of the triangle. Therefore,
12/Sin 64 = x/Sin 12
Cross multiplying, it becomes
xSin 64 = 12Sin12
xSin 64 = 12 × 0.209
0.8988x = 2.508
x = 2.508/0.8988
x = 2.79
The sum of the angles in a triangle is 180 degrees. Therefore, the unknown angle in triangle is
180 - (64 + 12) = 104 degrees. Therefore,
y/Sin104 = 12/Sin64
ySin64 = 12Sin104
0.8988y = 12 × 0.9703 = 11.6436
y = 11.6436/0.8988
y = 12.95
22) we would apply the law of Cosines which is expressed as
a² = b² + c² - 2bcCosA
Therefore,
28² = 20² + 24² - 2 × 20 × 24Cosx
784 = 400 + 576 - 960Cosx
784 = 976 - 960Cosx
960Cosx = 976 - 784 = 192
Cosx = 192/960 = 0.2
x = Cos^(-1)0.2
x = 78.5°
Answer:It is important to record each transaction so Bob knows how much money is in his account. That prevents being overdrawn. Recording debits and deposits helps with budgeting. It is good to keep receipts in case of any bank errors.
Step-by-step explanation:
The answer for this question is B because - -e/-f is the same as - -e/f