Answer:
The lateral surface area of the triangular prism is 379.5sq units
Step-by-step explanation:
The side lengths of the base of the triangular prism are 5 meters, 8 meters, and 10 meters.
It is given that the height of the prism is 16.5 meters.
To determine the lateral surface area of the prism, let us use the formula
where a, b,c are the side lengths of the base of the triangular prism and h is the height of the prism.
Here and
Substituting these values in the formula, we have,
Simplifying, we get,
Multiplying, we get,
Thus, the lateral surface area of the triangular prism is
The trigonometric ratios are used for right angle triangle.The basic rule to followed is SOH CAH TOA
SOH means Sinx=opposite/Hyp.
CAH means Cosx = adj./Hyp.
TOA means Tanx = Opp./Adj.
Opposite is the side opposite to the acute angle of the right triangle.
<span>Adjacent is the side Adjacent to the acute angle of the right triangle.
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The longest side in a right triangle is the hypotenuse.
10x + 19.95 = 139.95
Subtract 19.95 from both sides
10x =130.00
Divide both sides by 10
X = 13
13 classes
Answer: i)For X = (0,1) then P(x) = (1/3, 2/3)
ii) Then p=(2/3) as n=8
iii) 0.06828
Step-by-step explanation:
Use binomial distribution:
Probability of being yellow (by having 1 recessive allele) is 2/3. This is a binomial distribution with p=2/3. And since there are 8 selections, our n is 8. So p=(2/3), n=8.
Recall that in binomial distribution P(X=x) = C(n,x) × p^x × (1-p)^n-x.
So for 3 out of 8, it means x=3 and n=8.
Our equation becomes P(exactly three Snapdragon are yellow) = P(X=3) = (8C3) × (2/3)³ × (1/3)5 = 0.06828
-4 + x 2 + y
------- = 5 and ------ = 5
2 2
so x = 10 + 4 = 14 and y = 10 - 2 = 8
endpoint N = (14,8)
