Answer:
the length of the rope gives the circumference of the tree trunk. the tree trunk is in the shape of a circle. the circumference of a circle = πD. the inches would be converted to foot and the diameter would be determined from the length of the rope.
7 foot
Step-by-step explanation:
Here is the full question :
A group of students wants to find the diameter of the trunk of a young sequoia tree. The students wrap a rope around the tree trunk. the length is 21 feet 8 inches
Explain how they can use the length to determine the diameter of the tree trunk to the nearest half foot
What is the diameter of the tree trunk
the circumference of a circle = πD
π = 22/ 7
D = diameter
we need to convert 21 feet 8 inches to foot
1 inch = 0.0833333 foot
8 x 0.0833333 = 0.667
0.667 + 21 = 21.667 foot
21.667 = 22/7 x diameter
diameter = 21.667 x 7/22 = 6.89 foot
The nearest half foot of 6.89 is 7.
7 foot
Considering that the trench is modeled by a rectangular prism, the volume that was removed is 1776 cubic feet.
The volume of a <u>rectangular prism of length l, width w and height h</u> is given by:
In this problem, we want the measures in feet, and considering that 1 feet is 12 inches:
- The length is of 102' 6''(102 feet and 6 inches), hence
.
- The width is of 5' 4'', hence
.
- The depth(height) is of 3' 3'', hence
.
Then:
The volume that was removed is 1776 cubic feet.
To learn more about the volume of rectangular prisms, you can take a look at brainly.com/question/17223528
Answer:
1/2x - 8
Step-by-step explanation:
Let
x = number of pledges she collected last year
The number of pledges that Melissa collected for this year's charity walk is 8 less than half the number of pledges she collected last year.
Number of pledges she collected this year = 1/2x - 8
The expression which represents the number of pledges she collected this year = 1/2x - 8
Pythagorean Theorem: a^2+b^2=c^2
(9)^2 + b^2 = (23)^2
81 + b^2 = 529
b^2 = 529 - 81
b^2 = 448
b^2 =
b = 21.2
