y = 218.2. The lenght of side y by trigonometry is 218.2.
In order to solve this problem we are going to use the angles and sides of a right triangle and its relation by expressions that we call trigonometric ratios.
In the image we can see that the lenght of the opposite leg is 141 , we do not know the lenght of the adjacent leg y and the hypotenuse x. The key to solve this problem is to use trigonometric ratios and the equation tan θ = sin θ/cos θ = opposite leg/adyacent leg = 141/y
Clear for y for the equation tan θ = sin θ/cos θ = 141/y, we obtain:
y = arctan θ (141)
y = arctan (43°)(141) = 218.2
The 2 angles given are vertical angles , which mean they equal the same.
Set the 2 equations to equal each other and solve for x:
7x-26 = 5x +10
Add 26 to each side:
7x = 5x + 36
Subtract 5x from each side:
2x = 36
Divide both sides by 2:
X = 36/2
X = 18
Answer:
27 apartments per floor.
Step-by-step explanation:
Just divide 81 by 3
The expected value for the person buying the insurance is -25.
<h3>How the expected value is calculated?</h3>
The expected value is the average gain or loss of an event if the event is repeated a number of times.
Expected value = ∑xP(x)
<h3>Calculation:</h3>
It is given that,
The probability of a 47-year-old woman passing away during the coming year is 0.179% = 0.00179
The death benefit = $100,000 - $204 = $99,796
The loss from living = -204
Then the expected value = 99796(0.00179) + (-204)(0.99821) = -25
Therefore, the expected value for the person buying the insurance is -25.
Learn more about the expected value here:
brainly.com/question/10675141
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