Answer:
diameter = 18 m
Step-by-step explanation:
46.26 = 1/2π(diameter) + diameter
46.26 = 1.57d + d = 2.57d
d = 46.26/2.57 = 18 m
Answer:
No, This is not a valid Probability Distribution
Step-by-step explanation:
Probability [Neighbour walks with Beagle] = 20%
Probability [Neighbour walks with Golden Retriever] = 70%
Probability [Neighbour walks alone] = 30%
Disjoint Events are the events that have zero probability of occurring together. If all the three above items are disjoint, it means that it can never happen that two of them happen together.
The total (summed) probability of a valid probability distribution, with disjoint sets = 1 . In given case, total probability = 0.2 + 0.7 + 0.3 = 1.2 ; i.e > 1.
So, this probability distribution with stated disjoint events is not a Valid Probability distribution.
Answer:
The ladder is not safe at this height. The height from ground to top of the ladder is < 11.6 ft for safety reasons and this can be determined by using trigonometry functions.
Step-by-step explanation:
The ladder is not safe at this height. The height from ground to top of the ladder is < 11.6 ft for safety reasons and this can be determined by using trigonometry functions.
Given :
Joshua has a ladder that is 12 ft long.
He wants to lean the ladder against a vertical wall so that the top of the ladder is 11.8 ft above the ground.
For safety reasons, he wants the angle the ladder makes with the ground to be no greater than 75°.
Check the angle that the ladder makes with the ground:
The ladder is safe when the angle the ladder makes with the ground to be no greater than 75° but is so, the ladder won't be safe.
To make the ladder safe, the height should not be 11.8ft.
The height from ground to top of the ladder is < 11.6 ft for safety reasons.
The area of the circle is 28.26 in²
<u>Explanation:</u>
Given:
Radius of the circle, r = 3 in
Area of circle, A = ?
We know:
Area of circle = πr²
The value of π is 3.14
Thus,
A = 3.14 X (3)²
A = 3.14 X 9
A = 28.26 in²
Therefore, the area of the circle is 28.26 in²
You have a right triangle situation here, and what you are looking for is the length of the hypotenuse. The leg perpendicular to the ground is 100, and the base angle that is NOT the right angle, is 65. So your equation is set up like this: sin 65 = 100/x. Rearrange that a bit to get x alone: x = 100/ sin 65. Make sure your calculator is in degree mode and solve for x. x = 110.34 feet of string.