Answer:
Part 1) The exact value of the arc length is \frac{25}{6}\pi \ in
Part 2) The approximate value of the arc length is 13.1\ in
Step-by-step explanation:
ind the circumference of the circle
The circumference of a circle is equal to
C=2\pi r
we have
r=5\ in
substitute
C=2\pi (5)
C=10\pi\ in
step 2
Find the exact value of the arc length by a central angle of 150 degrees
Remember that the circumference of a circle subtends a central angle of 360 degrees
by proportion
\frac{10\pi}{360} =\frac{x}{150}\\ \\x=10\pi *150/360\\ \\x=\frac{25}{6}\pi \ in
Find the approximate value of the arc length
To find the approximate value, assume
\pi =3.14
substitute
\frac{25}{6}(3.14)=13.1\ in
Answer:
Step-by-step explanation:
<u>The Volume of Rectangular Prism</u>
Given a rectangular prism of dimensions W, L, and H, its volume is the product of the three dimensions:
V = WLH
The figure shows the dimensions:
L=3 cm
Thus, the volume is:
Simplifying:
Weight of each rock is 14.8 ounces.
Step-by-step explanation:
Given,
Total number of rocks = 10
6 rocks weigh 10 ounce each
4 rocks weigh 22 ounce each.
To find the the weight of each rock.
Now,
Weight of 6 rocks = 10×6 ounces = 60 ounces
Weight of 4 rocks = 22×4 ounces = 88 ounces
So,
Weight of 10 rocks = 88+60 = 148 ounces
Hence,
Weight of each rock = 148÷10 = 14.8 ounces.
The mean absolute deviation of this set is 3.43 or 3. Have a good day!