Answer:
1. sine = opposite / hypotenuse = 30 / 34 = 15 / 17
cosine = adjacent / hypotenuse = 16 / 34 = 8 / 17
tangent = opposite / adjacent = 30 / 16 = 15 / 8
2. you have to use the law of sines function
the formula for law of sines is
sin of angle A / side A = sin of angle B / side B = sine of angle C / side C
The information we know is sin of a and side a which is 90 degrees and side A length of 20
we don't know Side B and C
we know sin of angle B = 45 degrees
all we have to do is ratios
now divide both sides by sin(90
left side both cancel and on right side 14.14/ sin(90 = 14.14 is the answer
Step-by-step explanation:
Answer:
the second one is the only one
Answer:
-1/2
Step-by-step explanation:
parallel lines have the same slopes
Answer:
275 seconds, or 4 min 35 s
Step-by-step explanation:
The first set is red for 15 seconds and green for 40 seconds, so it repeats the cycle every 55 seconds.
The second set is red for 35 seconds and green for 15 seconds, so it repeats the cycle every 50 seconds.
A car will stop at the first set, wait 15 seconds, then drive for 60 seconds to the second set, which will just turn red. So we need to find how many cycles it takes for the beginning of the two sets to be 75 seconds apart.
If x is the number of cycles of the first set, and y is the number of cycles of the second set, then:
55x + 75 = 50y
y = 1.1x + 1.5
y must be an integer, so we need to find an integer value of x such that 1.1x ends in 0.5. For example, x = 5.
y = 1.1(5) + 1.5
y = 5.5 + 1.5
y = 7
If we wait for the first set to cycle 5 times, the beginning of the 6th cycle will be 75 seconds before the beginning of the second set's 8th cycle. So the pedestrian must wait 5 × 55 = 275 seconds, or 4 min 35 s.
Answer:8
Step-by-step explanation:
This 1 is simple
Just subtract 7 from 15 and the answer is 8
So 15laps-7laps=8laps