Answer:
106.1 ft/s
Step-by-step explanation:
You know the diagonal of a square is √2 times the length of one side, so the distance from 3rd to 1st is 90√2 feet ≈ 127.2792 ft.
The speed is the ratio of distance to time:
speed = distance/time = 127.2972 ft/(1.2 s) ≈ 106.1 ft/s.
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In case you have never figured or seen the computation of the diagonal of a square (the hypotenuse of an isosceles right triangle), consider the square with side lengths 1. The diagonal will cut the square into halves that are isosceles right triangles with leg lengths 1. Then the Pythagorean theorem can be used to find the diagonal length d:
d² = 1² + 1²
d² = 2
d = √2
Since this is the diagonal for a side length of 1, any other side length will serve as a scale factor for this value. A square with a side length of 90 ft will have a diagonal measuring 90√2 ft.
Give the equation 9m = 10n
Dividing both sides by 9n, we have
Therefore, the <span>proportion that results in the equation 9m = 10n is
</span>
110/50=2.2 (each person consumes 2.2 kg of rice)
50+20 (the people who join)=70 total of people
70X2.2= 154 kg of rice.
Find the volume of the first figure, then find the volume of the second figure, then add them together.
V=lwh
V(1)=(15)(12)(6)
= 1,080in^3
V(2)=(12)(6)(6)
= 432in^3
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1,080+432= 1,512 in^3
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Your answer should be 1,512
9514 1404 393
Answer:
2r(20r +60) = 80r^2
Step-by-step explanation:
Anna's first investment:
20
Anna's first return:
20r
Anna's second investment:
20r +60
Anna's second return:
r(20r +60)
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Hannah's first investment:
80
Hannah's first return, and her second investment:
80r
Hannah's second return:
80r^2
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Twice Anna's return was equal to Hannah's return:
2r(20r +60) = 80r^2
