Answer:
<h2>The dog ran 1,168.1 feet, approximately.</h2>
Step-by-step explanation:
Givens
- The chain is 18.6 feet long.
Notice that the chain represents the radius of the circle trajectory, because the dog is running pulling the leash as far as it can go.
So, the radius of the circle is 18.6 feet long.
Now, the length of the circumference is
Replacing the radius, we have
So, one lap is equal to 116.81 feet. But the dog ran 10 times, which means it ran a total distance of
Therefore, the dog ran 1,168.1 feet, approximately.
Step-by-step explanation:
What this is saying is...20 is a whole number; but 3/4 is not. What they are saying is, if you have to add a mixed number with a whole number, you can add both of the whole numbers together. Then, you add the 3/4 at the end...because it is not a whole number. You can break apart a mixed number by separating the whole number and the fraction.
Hope this helps :)
Let x= hours spent job A
let y= hours spent job B
14x + 12.50y = 600
x + y = 45
x=-y +45
14(-y+45) + 12.5y = 600
-14y + 630 + 12.5
-1.5x + 630 = 600
-1.5x=-30
x=20
(20) + y = 45
y= 25
20 hours job A, 25 hours job B
The answer would be C, because time can't be negative and the height of the plant can't go below 1
Answer:
54.8 feet
Step-by-step explanation:
We assume that the distance of interest is the direct line distance from the observation point to the bottom of the monument, segment PH in the diagram below.
This can be found using the Law of Sines.
∠PMH is the complement of the angle of elevation to the top of the monument, so is 40°.
∠MPH is the difference in the angles of elevation, so is 28°.
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The Law of Sines tells us the ratio of side lengths is the same as the ratio of the sines of the opposite angles, so ...
PH/MH = sin(∠PMH)/sin(∠MPH) = sin(40°)/sin(28°)
Multiplying by MH, we can find the length of PH:
PH = (40 ft)(sin(40°)/sin(28°)) ≈ 54.7669 ft
PH ≈ 54.8 ft . . . . the distance Pete must climb to reach the monument.
