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
Answer:
The area of the circle with a 3-inch diameter is 7.07 square inches.
Step-by-step explanation:
The formula for the area of a circle is
A = πr²
If you are given diameter, take half of that to get the radius: 3 ÷ 2 = 1.5
Then take the radius, 1.5 and square it (multiply by itself) 1.5 × 1.5 = 2.25
Then multiply r² times pi. You can use 3.14. (sometimes you will need 3.14159)
2.25 × 3.14 = 7.065
Your instructions are to "round to the nearest hundredth" so you look to the thousandth place and see a 5. Rules fro rounding: "If the number is 5 or higher, add 1 to the place you are rounding to. If 4 or less, leave the place as it is."
You see a 6 in the hundredths place. Add 1. so the rounded answer is 7.07.
Then you put in the units measure. Inches are given, so the Area will be square inches
7.07 in²
Where is the rest at that’s only 1
1a.) y=0.5x+2
1b.) The 0.5x is the slope. It represents the amount of extra money you are paying (in addition to the automatic $2) per mile. The y-intercept is 2. That represents the amount you automatically pay for that company.
2.a) I forgot how to do point-slope form, but for 2b., the slope is representing the same thing as in 1a. The slope is .65 and it is representing the amount of money you pay (in addition to the automatic $1.75) per mile.
To find the answers to the table question, use the slope intercept formula, y=.65x+1.75 Plug the numbers they are asking about in for x.
Example: Plugging in 3 we get y=(.65)(3)+1.75 which will equal 3.7 so the amount of money you pay after driving for 3 miles is $3.70.
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Given:
Dimensions of a rectangular prism are 6 meters by 3 meters by 12 meters.
To find:
The surface area of the prism.
Solution:
The surface area of a rectangular prism is:
Where, l is length, b is breadth and h is height.
Putting 
, we get
Therefore, the surface area of the prism is 252 square meters.
