Answer:
The measure of angle C is 36.86°
Step-by-step explanation:
Given : A right angled triangle with right angle at B.
We have to find the measure of angle C.
Consider the given right triangle.
Using trigonometric ratio,
Since, we know tangent is the ratio of perpendicular to base
Using
Here, for angle C we have base = 4 cm and perpendicular = 3 cm
Thus,
Taking both side, we have,
Thus, The measure of angle C is 36.86°
Answer:36.86
Step-by-step explanation:
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Work Shown:
1/500 = 0.002 is the probability of winning $390
3/500 = 0.006 is the probability of winning $230
16/500 = 0.032 is the probability of winning $170
Multiply the probabilities with their respective winnings
0.002*390 = 0.78
0.006*230 = 1.38
0.032*170 = 5.44
Then add up those results
0.78+1.38+5.44 = 7.60
which is the expected value.
Side note: This game is not a fair game because mathematically a "fair game" is defined as such where the expected value is 0; ie, neither the player nor the dealer win and things break even.
Answer:
Step-by-step explanation:
the requried complete system of equation is given as -2x + y = -5 and y = -x + 10.
#1 Direct Variation, and initial value is 0
#2 Partial Variation, and initial value is 0
#3 Direct Variation, and initial value is 20
#4 Partial Variation, and initial value is 20
The type of variation in this relationship is direct variation, and the initial value is 20.
A linear relationship is a connection that takes the shape of a straight line on a graph between two distinct variables - x and y. When displaying a linear connection using an equation, the value of y is derived from the value of x, indicating their relationship.
The given graph represents the relationship between the number of times he visited the club and his total monthly cost.
As per the given graph, we can conclude as follows:
The type of variation in this relationship is a direct variation because the points are increasing, and the initial value is 20 because the coordinate of the initial point is (0, 20).
Hence, the correct answer would be option (C).
Learn about the linear relationship here :
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Answer:
#3
Step-by-step explanation:
Answer: There's a 3/10th chance its greater than 6.
Step-by-step explanation:
A. 4
B. 3
C. 6
D. Cannot be determined
Answer:6 units C)
Step-by-step explanation:
Answer:
C.6
Step-by-step explanation:
The legs of an isosceles triangle are equal therefore you can put it this way:
-x+7=x+1
Then just solve for x
7-1=2x
X= 3
Finally put in the x value to the equation of the base
3(3)-3 = 6
The base is 6
Marge has saved 20% of the total cost of her vacation.
Marge's vacation savings can be calculated as a percentage of the total cost, using the formula: (Amount Saved / Total Cost) * 100. In this case, with a total vacation cost of $1,750 and Marge having saved $350, the calculation is ($350 / $1,750) * 100. When computed, it reveals that Marge has successfully saved 20% of the total vacation expense. This means that she has allocated a fifth of the overall cost, demonstrating a commendable financial preparation for her upcoming getaway. Such conscientious savings practices contribute to a more relaxed and enjoyable vacation experience, as Marge has set aside a significant portion of the required funds.
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