Answer: option C
Step-by-step explanation:
The diagram of the triangle is shown in the attached photo. The triangle is a right angle triangle ABC
Assuming the given angle is #,
Recalling the trigonometric ratio,
tan # = opposite / adjacent
If tan # = 4, it means
opposite / adjacent = 4/1
Therefore, opposite = 4 and adjacent = 1
Applying Pythagoras theorem,
Hypotenuse^2 = opposite ^2 + adjacent ^2
Hypotenuse = AC
Opposite = 4
Adjacent = 1
AC^2 = 4^2 + 1^2 = 17
AC = ± √17
To determine cos #, we would apply another trigonometric ratio,
Cos# = adjacent /hypotenuse
Cos# = 1/±√17
Cos # =-1 /√17 or 1/√17
11,340 I believe. 5% of 8400 is 420. 420*7=2940 2940+8400=11340
Answer:
5x^2+120x
Step-by-step explanation:
5x(x+24)
Step 1: Use distributive property to expand the expression. Multiply 5x separately with all the terms inside the bracket.
Step 2: 5x(x) = 5x^2
5x(24) = 120x
Answer: 5x^2+120x
Note: If you need to further solve it, you can factor it.
To Factor;
5x^2+120x
Step 1: Factor out the common: 5x
Step 2: 5x times x = x^2
5x times 24 = 120x
Therefore,
Factored answer: 5x(x+24)
Hope this helps.
So the equation here is
95*(1+x) = 109.25
solve for x
1+x = (109.25/95)
x = (109.25/95) -1
x = .15 or 15%
Answer:
P(X = 2) = 0.22.
Step-by-step explanation:
We are given with the following probability distribution below;
X P(X)
1 0.05
2 0.22
3 0.35
4 0.30
5 <u> 0.08 </u>
Total <u> </u><u> 1</u><u> </u>
As the sum of all the probabilities is equal to 1, which means that this is a valid probability distribution.
Now, from the table above P(X = 2) = 0.22.
Hence, the probability that the X is equal to 2 is 0.22 or 22%.
