Answer:
1. √74; 2. (24.5, 21.5)
Step-by-step explanation:
1. Distance
You could use the distance formula to calculate the length of PQ, but I prefer a visual approach, because it requires less memorization.
Draw a horizontal line from P and a vertical line from Q until they intersect at R (28, 19).
Then you have a right triangle PQR, and you can use Pythagoras' theorem to calculate PQ.
2. Midpoint of line
The coordinates of the midpoint are half-way between the x- and y-coordinates of the end points.
For the x-coordinate, the half-way point is
(21 + 28)/2 = 49/2 = 24.5
For the y-coordinate, the half-way point is
(19 +24)/2 = 43/2 = 21.5
The coordinates of the midpoint M are (24.5, 21.5).
The amount of energy waste, in terms of hours which a 60-watt light bulb would remain on, is 61.6 hours then the correct option is B.
<h3>What are ratio and proportion?</h3>
A ratio is an ordered couple of numbers a and b, written as a/b where b can not equal 0. A proportion is an equation in which two ratios are set equal to each other.
Marco leaves the bathroom faucet running for 22 minutes while he gets ready in the morning.
Running the faucet for 5 minutes wastes the same amount of energy as leaving a 60-watt light bulb on for 14 hours.
Then we have
So, the rate is 2.8 hours per minute.
Since macro leaves the bathroom faucet running for 22 minutes. Then the waste of energy is leaving a 60-watt light bulb will be
→22 minutes × 2.8 hours/minute = 61.6 hours.
More about the ratio and the proportion link is given below.
brainly.com/question/14335762
Answer:
53.5
Step-by-step explanation:
c = the height of the first 3 boys.
c = 54 + 48.5 + 46
c = 148.5
Now you add a fourth boy. His height is h.
A(h)= (c + h)/d
d = the total number of boys which is 4.
The new average is 50.5
A = (c + h)/d
50.5 = (148.5 + h) / 4 Multiply both sides by 4
202 = 148.5 + h Now subtract 148.5 from both sides
202 - 148.5 = h
h = 53.5
Answer:
15/20 in simplest form is 15/20
Step-by-step explanation:
you cant split it any other way, since if you divide by 2, it would be 7.5/10
