Answer:
Performance
Step-by-step explanation:
Performance is defined as acting, singing, playing an instrument or otherwise showing a craft to a group of people.
Options:
a. Nikki's proposed placement will light a greater area than Dylan's placement.
b. Dylan's proposed placement will light a greater area than Nikki's placement.
c. Both proposed placements will light the same sized area.
d. Nikki's proposed placement will light more than half the yard.
e. Dylan's proposed placement will light more than half the yard.
f. Dylan's proposed placement will light exactly half of the yard.
g. Nikki's proposed placement will light less than half of the yard.
Answer:
C) Both proposed placements will light the same sized area.
F) Dylan's proposed placement will light exactly half of the yard.
Step-by-step explanation:
The area of a triangle is (base x height) / 2, and both lights illuminate the same base and height = (60 x 38) / 2 = 1,140 sq ft
Both Dylan's and Nikki's proposed placement will lit exactly half of the yard. The yard's total area = 60 x 38 = 2,280 sq ft, which is twice the area lit by the lights.
Answer:
tip total $4
tip per person $2
total (bill plus tip) $29.
total each person $15
Step-by-step explanation:
Answer:
(-1, 6)
Step-by-step explanation:
The midpoint is the halfway point. So, if M is the midpoint of PQ, then simply take the distance between your P and M co-ordinates and apply that one more time to get to Q.
Your x value at point M is 5, and your x value at point P is 11.
11 and 5 are 6 units apart.
Since M is in the middle of P and Q, M is therefore 6 units apart from both P and Q on the x-axis, so we can subtract 6 from 5 to find Q's x co-ordinate of -1.
Your y value at point M is -2, and your y value at point P is -10.
-10 and -2 are 8 units apart.
Add 8 to M to find your y co-ordinate at point Q of 6.
Your Q point is at (-1, 6).
Answer: The correct point is (1, 0)
In polar coordinates, the first number is the distance from the origin in any direction. The second number is an angle measurement that tells us the direction to go from the origin.
Therefore, we have to move -1 one unit (or backwards) from the origin. Now, all we need to know is the direction to move.
The second number is 180, so we make an angle of 180 degrees and move in that direction.
But where do we start?
We always start from the origin straight right along the x-axis. That is degrees 0. So a 180 degree angle would move us left along the x-axis. But remember, we are moving back 1 space, so we will end up at (1, 0).