Answer:
<em> 108 degrees</em>
Step-by-step explanation:
From the diagram we are given
Interior angles are 2x + 1 and 63 degrees
Exterior angle = 5x -2
The sum of interior angles is equal to the exterior angle
2x + 1 + 63 = 5x - 2
2x + 64 = 5x - 2
2x - 5x = -2-64
-3x = -66
x = -66/-3
x = 22
Get the exterior angle:
Exterior angle = 5x-2
Exterior angle = 5(22) - 2
Exterior angle = 110-2
Exterior angle = 108 degrees
<em>Hence the measure of the exterior angle is 108 degrees</em>
Answer:
- <u>The odds are 2 : 23, or about 0.09 : 1 (0.09 to 1).</u>
Explanation:
The <em>odds </em>of an event is the ratio of occurrence to non-occurrence of the event.
When you know the <em>probability</em> of an event, then you can calculate the odds by dividing the probability of occurence by the probability of non-occurrence.
Calling p the probability that an event will happen, 1 - p is the probability that it will not happen and the odds will be:
You have p = 8% = 0.08, and 1 - p = 1 -0.08 = 0.92.
Therefore:
- Odds = 0.08 / 0.92 = 8 : 92 = 2 : 23 ≈ 0.09 : 1 (0.09 to 1)
Answer:
- 892 lb (right)
- 653 lb (left)
Step-by-step explanation:
The weight is in equilibrium, so the net force on it is zero. If R and L represent the tensions in the Right and Left cables, respectively ...
Rcos(45°) +Lcos(75°) = 800
Rsin(45°) -Lsin(75°) = 0
Solving these equations by Cramer's Rule, we get ...
R = 800sin(75°)/(cos(75°)sin(45°) +cos(45°)sin(75°))
= 800sin(75°)/sin(120°) ≈ 892 . . . pounds
L = 800sin(45°)/sin(120°) ≈ 653 . . . pounds
The tension in the right cable is about 892 pounds; about 653 pounds in the left cable.
_____
This suggests a really simple generic solution. For angle α on the right and β on the left and weight w, the tensions (right, left) are ...
(right, left) = w/sin(α+β)×(sin(β), sin(α))
Answer:
A.
Step-by-step explanation:
To find the answer, we have to do 8% of 72.
8% of 72 = 5.76
really thats all whats needed to do the problem
hope this helps :)
To find the answer for this question you take 175 multiply it by 4 which gives you 700 which is the answer