Given:
Point S is translated 5 units to the left and 12 units up to create point S'.
To find:
The distance between the points S and S'.
Solution:
Point S is translated 5 units to the left and 12 units up to create point S'.
The diagram for the given problem is shown below.
From the below figure it is clear that the distance between the point S and S' is the height of a right triangle whose legs are 5 units and 12 units.
By Pythagoras theorem,
Taking square root on both sides.
Therefore, the distance between S and S' is 13 units.
Answer:
$6
Step-by-step explanation:
19-25
Answer:
Therefore, the probability is P=1/84.
Step-by-step explanation:
We have a bag contains 3 red and 6 white tokens. Tokens are randomly selected and removed one at a time until the bag is empty.
We conclude that in a bag have 9 tokens.
We calculate the probability that the red tokens are drawn consecutively.
We calculate the number of possible combinations:
Number of favorable combinations is 1.
Therefore, the probability is P=1/84.
We can use a trig function to find the measure of angle T.
tan(T) = 18/13
Take the archtangent on both sides since we are searching for an angle.
arctan(tan T) = arctan(18/13)
T = 54.16°
The measure of angle T is 54.16°.
Answer:
72
Step-by-step explanation:
- L × W = A
- 8 × 9 = A
- 8 × 9 = 72
I hope this helps!
