Thirty and fifty-five hundredth.
Answer/Step-by-step explanation:
✔️Using trigonometric ratio, find b:
Reference angle = 45
opposite = 8
Hypotenuse = b
Thus,
Sin(45) = 8/b
b = 8/sin(45)
b = 8/(1/√2) (sin 45 = 1/√2)
b = 8 × √2/1
b = 8√2
✔️Find a using trigonometric ratio:
Reference angle = 60°
Hypotenuse = b = 8√2
Adjacent = a
Therefore,
Cos(60) = a/8√2
8√2*cos(60) = a
8√2*½ = a
4√2 = a
a = 4√2
✔️Find c using Pythagorean Theorem:
c² = b² - a²
c² = (8√2)² - (4√2)²
c² = 128 - 32
c² = 96
c = √96
c = √(16*6)
c = 4√6
Omitted value: The price of children ticket was omitted in the question, so i used $8 to solve. You can input the correct value and solve the same way following the steps.
Answer: 100 adult tickets must be sold.
Step-by-step explanation:
step 1
let x represent Adults
AND y represent children
Since the theater seats 250 people we have that
x+y = 250..... equation 1
Also price for Adult ticket = $11
and price children ticket =$8
With total sales at $2,300, we have that
11x + 8y= 2300----- equation 2
Step 2
Making y subject in equation 1
' x+y = 250
y= 250-x
Putting y= 250- x in equation 2
11x + 8(250-x)= 2300
11x +2000-8x= 2300
11x -8x = 2300-2000
3x= 300
x 300/3
x= 100.
To find y
x+y = 250
100+y=250
y=250-100
y=150
Therefore 100 adult tickets and 150 children tickets must be sold to get a total sales of $2,300
Answer:
It is unlikely the point is in region A.
It is impossible for the point to be in region H.
It is certain that the point will land in a lettered region.
Step-by-step explanation:
Hope it helps!
since 92 is not divisible into 93 by a whole number ratio, 92/93 is already in lowest terms
