By the Pythagorean theorem, the missing side is -sqrt7. The definition of sin is side opposite over hypotenuse, so go into Q2 and make an angle and label the side opposite the angle with a 3 and the hypotenuse a 4. The other leg is -sqrt7 cuz x is negative in Q2. The cosine of an angle is the side adjacent over the hypotenuse, so the cos then is -sqrt7/4
Answer:
Samuel slept for 1/4 of the distance.
Step-by-step explanation:
The information provided are:
- Samuel fell asleep halfway home.
- He didn't wake up until he still had half as far to go as he had already
- gone while asleep.
Consider that the total distance covered was 1.
Then from the first point we know that Samuel fell asleep after covering a distance of 1/2.
It is provided that he woke up only after covering half of the remaining distance.
That is, he slept for 1/4 of the remaining distance.
Thus, Samuel was asleep for 1/4th of the entire trip home.
Answer:
18 km/hr
Step-by-step explanation:
To find the unit rate, we must find the rate in kilometers per hour.
Let’s divide the total kilometers by the total number of hours.
unit rate = kilometers/hours
Juan rode 72 kilometers in 4 hours.
unit rate = 72 kilometers/ 4 hours
unit rate = 72 km/4 hrs
unit rate = 18 km / hr
The unit rate is 18 kilometers per hour.
Triangle area= b*h/2
Plug in the values:
25*8/2
200/2
100
Final answer: 100 ft^2
Substitution or elimination
