Answer:
2.7 seconds
Step-by-step explanation:
We are asked to find how many seconds it takes for an object to fall from a height of 120ft. We will use the given formula, t=h−−√4. Substituting h=120, we find
t=120−−−√4=2.7
So, the pebble reaches the ocean after 2.7 seconds.
Step-by-step explanation:
here's the answer to your question
<span>Good Morning!
</span><span>C)made it legal to keep enslaved people for their entire lives.
</span><span>
It was legal, for the system of slavery sustained in the British colonies - and also in the Spanish and Portuguese, as in the case of Brazil - to maintain a person as a slave throughout his life. There was no time limit, children were also enslaved - daughters of slaves.
Hugs!</span>
Answers:
- Problem 1) 40 degrees
- Problem 2) 84 degrees
- Problem 3) 110 degrees
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Explanation:
For these questions, we'll use the inscribed angle theorem. This says that the inscribed angle is half the measure of the arc it cuts off. An inscribed angle is one where the vertex of the angle lies on the circle, as problem 1 indicates.
For problem 1, the arc measure is 80 degrees, so half that is 40. This is the measure of the unknown inscribed angle.
Problem 2 will have us work in reverse to double the inscribed angle 42 to get 84.
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For problem 3, we need to determine angle DEP. But first, we'll need Thales Theorem which is a special case of the inscribed angle theorem. This theorem states that if you have a semicircle, then any inscribed angle will always be 90 degrees. This is a handy way to form 90 degree angles if all you have is a compass and straightedge.
This all means that angle DEF is a right angle and 90 degrees.
So,
(angle DEP) + (angle PEF) = angle DEF
(angle DEP) + (35) = 90
angle DEP = 90 - 35
angle DEP = 55
The inscribed angle DEP cuts off the arc we want to find. Using the inscribed angle theorem, we double 55 to get 110 which is the measure of minor arc FD.
The answer is x=20. You isolate the square root. Eliminate the radical on the left handside. And then solve it!
