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:
40 mph
Step-by-step explanation:
We assume "outbound" refers to the trip <em>to the lake</em>. The ratio of speeds is inversely proportional to the ratio of times, so ...
outbound speed : inbound speed = 4 : 3
These differ by one ratio unit, so that one ratio unit corresponds to the speed difference of 10 mph. Then the 4 ratio units of outbound speed will correspond to ...
4×10 mph = 40 mph
Paul's average speed on the outbound trip was 40 mph.
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The distance to the lake was 120 mi.
Answer:
It’s HK and GH because that’s the only pair that are perpendicular
Step-by-step explanation:
<span><span>2<span><span>(x+3)</span>2</span>+1</span><span>2<span><span>(x+3)</span>2</span>+1</span></span>Reorder the right side of the equation to match the vertex form of a parabola.<span><span>y=2<span><span>(x+3)</span>2</span>+1</span><span>y=2<span><span>(x+3)</span>2</span>+1</span></span>Use the vertex form, <span><span>y=a<span><span>(x−h)</span>2</span>+k</span><span>y=a<span><span>(x-h)</span>2</span>+k</span></span>, to determine the values of <span>aa</span>, <span>hh</span>, and <span>kk</span>.<span><span>a=2</span><span>a=2</span></span><span><span>h=−3</span><span>h=-3</span></span><span><span>k=1</span><span>k=1</span></span>Find the vertex <span><span>(h,k)</span><span>(h,k)</span></span>.<span>(−3,1<span>) ...................................</span></span>
Answer:
c - 13,600ft^2
Step-by-step explanation:
200 x 80 = 16,000ft^2
40 x 60 = 2,400ft^2
16,000ft^2 - 2,400ft^2 = 13,600ft^2