Answer: 17:15
Step-by-step explanation:
From the question, we are informed that the ticket booth at a school play sells 170 adult tickets and 150 student tickets.
The ratio of adults to students will be:
= 170/150
= 17:15
The ratio is therefore 17:15.
Answer:
9
Step-by-step explanation:
the absolute value function always delivers only the positive value of anything inside the absolute function.
therefore, x is 9 and only 9.
Answer:
Step-by-step explanation:
A)
Dilation. Since it's only the size of the figure that's changing
B)
Height of the smaller one: 4
Width of the smaller one: 6
Height of the bigger one: 6
Width of the bigger one: 9
6/4 = 1.5
9/6 = 1.5
Since both 6/4 and 9/6 was 1.5, that means that the Width and Height was proportional and that the two trapezoids is at a ratio o:
1 : 1.5
One unit of the smaller one is 1.5 units on the bigger one.
Answer:
x = 11, y = 22
Step-by-step explanation:
Using the tangent ratio in the right triangle and the exact value
tan60° =
, then
tan60° =
=
=
( multiply both sides by x )
11
= x ×
( divide both sides by
)
11 = x
Using Pythagoras' identity in the right triangle
y² = x² + (11
)² = 11² + 363 = 121 + 363 = 484 ( square root of both sides )
y =
= 22
Answer:
Step-by-step explanation:
Velocity (v) is a vector quantity that measures displacement (or change in position, Δs) over the change in time (Δt), represented by the equation v = Δs/Δt. Speed (or rate, r) is a scalar quantity that measures the distance traveled (d) over the change in time (Δt), represented by the equation r = d/Δt.