Answer:
46 degrees.
Step-by-step explanation:
Sin(angle) = 5/7. Using a calculator, this angle is thus 45.6, or approximately 46 degrees.
Answer:
Step-by-step explanation:
Thinking process:
Let the total set be the combination of all the sets as shown
It means that total items = 7 + 14 + 7 + 2
= 30
But the total number of the subsets = 5 + 7+ 2
= 14
Therefore the probability = 
= 
=
Answer:
2 right, 4 down, y-axis
Step-by-step explanation:
Reflection across the y-axis changes the left-right orientation. Reflection across the x-axis changes the up-down orientation. Translation before the reflection can put the figure in a place so that the reflection gives its final location. Translation does not affect the orientation.
__
We observe that the north-south wall is on the west side of the building at Site A, and on the right side at Site B. That means the orientation was changed left-to-right, so reflection was across the y-axis.
If the reflection occurred last, then the position before reflection must have the northeast corner moved from (-3, 5) to (-1, 1). That is, the x-coordinate is increased by 2, and the y-coordinate was decreased by 4.
The building at site A was translated <u><em> 2 </em></u> units right and <u><em> 4 </em></u> units down; then it was reflected across the <u><em> y-axis </em></u>.
Answer:
See below.
Step-by-step explanation:
a.
x = cost of adult ticket
y = cost of student ticket
cost of adult ticket is twice the cost of a student ticket
x = 2y
number of adult tickets = 64
number of student tickets = 132
cost of all adult tickets = 64x
cost of all student tickets = 132y
cost of all adult and student tickets combined: 64x + 132y
cost of all adult and student tickets combined: 1040
This gives us the equation:
64x + 132y = 1040
b.
Use substitution to solve the system of equations. Since x = 2y, where you see x in the second equation, substitute it with 2y.
64(2y) + 132y = 1040
128y + 132y = 1040
260y = 1040
y = 1040/260
y = 4
x = 2y = 2(4) = 8
adult ticket: $8
student ticket: $4
4/5th i beleive..........
