Answer:
8.6 in²
Step-by-step explanation:
The area of the entire circle is A = πr², or A = π(2 in)².
This corresponds to a central angle of 2π radians, or 6.28 radians.
The area of the sector described above is just a certain fraction of that:
4.3 rad
-------------- * Area of circle = 0.685(4 * 3.14) = 8.6 in²
6.28 rad
Answer:
7.5
Step-by-step explanation:
7.5 is greater than 7.05
Subtract 1 because the number is going down by one
Riki ...
Most questions on Brainly offer 5 points in return for answering one question,
but here you've listed five of them to be answered for 5 points. That's kind of
much.
Also, it's not clear what cylinders Question-2 and Questioin-3 refer to.
They might be the two pictures under the question, but we don't rally know.
Fortunately, all five of your questions are answered with the same formula ...
the formula for the volume of a cylinder.
Here it is:
Volume of a cylinder = ( π ) · (radius)² · (height or length) .
V = π R² H .
That's it. That's all you need to answer any or all of the five questions.
So I've actually given you everything you need to answer them, and in
doing that, I've already earned 5 points. But, being the ever helpful guy
that I am, I'll work out two of the questions for you, to show you how to
use the formula.
Question #1). <span>A cylinder has a radius of 14 m and a height of 6 m.
</span>Volume = π R² H
= (π) (14m)² (6m)
= (π) (196m²) (6m)
= 1,176 π m³ = 71,763,930 π in³
(Notice how confusingly and sloppily the question is written . . .
the dimensions of the cylinder are given in meters, but the
answer choices are listed in cubic-inches. I've shown the
answer in both units.)
Question 5). <span>A can has a radius of 2.8 feet and holds 86.21 cubic feet.
</span><span>Volume = π R² H
86.2 ft³ = π (2.8 ft)² (Height)
86.2 ft³ = π (7.84 ft²) (Height)
Height = (86.2 ft³) / (7.84 π ft²)
= 3.5 ft
</span>
Answer:
- reflected across the y-axis
- compressed by a factor of 2
Step-by-step explanation:
Replacing x by -x in f(x) causes it to be reversed horizontally, that is, reflected across the y-axis.
Replacing x by 2x in f(x) causes it to be compressed horizontally by a factor of 2.
Both of these transformations result in g(x) being a horizontally compressed horizontal reflection of f(x).
__
See the attachment for an example. The blue curve is g(x); the red curve is f(x).