Answer:
1.
2. 3.2362
3.
Step-by-step explanation:
1.
Cot is the trigonometric ratio defined by "adjacent" over "opposite". <em>So, adjacent = 2 and opposite = 3.</em>
By pythagorean theorem, we have the "hypotenuse" as
Csc is defined as the trig ratio "hypotenuse" over "opposite". <em>We know the sides, so Csc = </em>
<em />
<em>First answer choice is right.</em>
<em />
2.
By definition, Csc is the inverse of Sine . <em>If given the value of sin theta, to find value of csc theta, we take the reciprocal of it. Hence:</em>
Third answer choice is right.
3.
By definition tan and cot are inverse of each other. <em>So the value of tan is the reciprocal of the value of cot.</em> We can simply "flip" the value of tan theta to get the value of cot theta. Hence:
Third answer is right.
Answer:
13 inches
Step-by-step explanation:
To find the greatest number of inches possible in the length of each piece, we need to find the greatest common divisor of 39, 52 and 65.
So, the divisors of 39 are: 1, 3 and 13
The divisors of 52 are: 1, 2, 4, 13 and 26
The divisors of 65 are: 1, 5 and 13
Therefore, the common divisors are 1 and 13. Finally the greatest common divisor is 13. It means that the greatest number of inches possible in the length of each piece is 13 inches.
Answer: 14
Step-by-step explanation:
Given
Excavation cone measures
height
Diameter
Truck can dump at a time
The volume of a cone is
Putting values
No of trips(N) required to accumulate this much volume is given by
Therefore, 14 trips are necessary to accumulate a cone of volume
Answer:
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