Answer:
Jalen is <u>11.18 miles</u> from his starting point.
Step-by-step explanation:
Given:
Jalen jogged 10 miles due north, then turned due west and jogged 5 more miles.
Now, to find miles Jalen jogged from his starting point.
So, below is the figure attached to describe the scene.
Now, to get the distance of Jalen jogged from his starting point we use pythagoras theorem:
<em>Using square root on both sides we get:</em>
Therefore, Jalen is 11.18 miles from his starting point.
Answer:
7 years
Step-by-step explanation:
7,500 x 0.06 is 450
7,500+(450x7) is 10,650
Answer:
a) P = 0.125
b) It is not necessarily true
Step-by-step explanation:
a. If the coin was fair, the probability of obtaining head would be 0.5, and each launch of the coin would be an independent event.
Remember that if two events A and B are independent, then:
P(A∩B) = P(A)P(B)
Therefore, the probability that Caitlin would get heads on all three flips is:
P(A∩A∩A) = P(A)P(A)P(A) = 0.5*0.5*0.5 = 0.125
b) It is not necessarily true, because there exist a probability associated to this event and it means that this situation can occur although the coin was fair.
Answer:
PQ = 58
Perimeter = 250
Opposite sides are congruent
Step-by-step explanation:
PQ = 58:
Because PQRS is a parallelogram, PQ equals RS.
1. Set up the equation and solve
7x + 16 = 5x + 28
2x = 12
x = 6
2. Plug in x into PQ
7(6) + 16 = 58
Perimeter = 250:
PQ = RS and QR = SP
1. Add the sides
58 + 58 + 67 + 67 = 250
Opposite sides are congruent:
definition of a parallelogram