Answer:
<u>The correct answer is D.2.010.62 feet³</u>
Step-by-step explanation:
1. Let's review all the information provided for solving this question:
Diameter (D) of the cylinder = 16 feet
Height (h) of the cylinder = 10 feet
2. Let's use the correct formula to calculate the volume:
Volume of a cylinder = (π * D² *h)/4
Replacing with the real values, we have:
Volume of a cylinder = (3.1416 * 16² * 10)/4
Volume of a cylinder = (3.1416 * 256 * 10)/4
Volume of a cylinder = (3.1416 * 2,560)/4
<u>Volume of a cylinder = 8,042.5/4 = 2.010.62 feet³</u>
<u>The correct answer is D.2.010.62 feet³</u>
Answer:
Read Explanation
Step-by-step explanation:
A standard devation of 15 means 68% of the norm group has scored between 85 (100 – 15) and 115 (100 + 15). In other words, 68% of the norm group has a score within one standard deviation of the average (100). Also, 95% of the norm group has an IQ score within two standard deviations of the average.
Answer:
dfn
Step-by-step explanation:
We have by the intermediate value theorem that if a continuous function takes values both above and below zero at 2 points, there is a zero of the function in-between. We have that polynomials are continues. Let's calculate f(-6) and f(-5). f(-6)=-36 while f(-5)=-1. Thus, we cannot conclude that there is a root between them.
F(-2)=8, f(-1)=-1, so there is a flip; a zero must exist between them.
F(1)=-1, f(2)=20, so again there is a change of signs.
f(-5)=-1, f(-4)=14 so there is a root still.
We have that the only choice that does not have a root between the integers is choice a.
Answer:
B
Step-by-step explanation:
Using the law of sines, we can make a proportion.
But first, we'll need to solve for the unknown angle.
We add up the two known angles and subtract that by 180.
90 + 41 = 131
180 - 131 = 49
So the unknown angles is 49.
Then, we can use the law of sines.
Make the equation.
sin(90)/55 = sin(49)/x
Simplify this using a calculator and you get around 41.51 or option B.