Answer:
x ≈ 20.31
Step-by-step explanation:
By applying tangent rule in the given right triangle,
tan(55°) =
Measure of the opposite side = 29 units
Measure of the adjacent side = x
Substitute these values in the expression,
tan(55) =
x =
x = 20.306
x ≈ 20.31
Answer:7/2
Step-by-step explanation:
16/2 times 2 =16, 2/2 times 16 = 16
Answer:
C) 24 adults
Step-by-step explanation:
Let A be the number of adults and C be the number of children.
If a ticket costs $8 per adult, we can express this as 8A
If a ticket costs $5 per child, we can express this as 5C
Combining the two expressions, we can write 8A+5C=272 as our first equation since the total amount of money collected is $272.
Our second equation would be A+C=40 since there are 40 people.
Now, we can take the second equation and write it as C=40-A so we can substitute the value of C into the first equation as 40-A so we only have to deal with one variable, the amount of adults that went to the theater.
The first equation now becomes 8A+5(40-A)=272 and is much easier to solve:
8A+5(40-A)=272
8A+200-5A=272
3A+200=272
3A=72
A=24
Therefore, there are 24 adults
The probability that two events occur is equal to the product of the individual events happening or occurring. For this item, we let x be the probability that is unknown such that the relationship between them may be expressed as,
(3/5)(x) = 33/95
The value of x from the equation is 11/19.