There are 30 days in the month of June. Out of the 30 days, Ava saw birds on 18.
P(bird)=18/30
We can simplify the fraction by dividing both sides by 2.
P(bird)=18/30=9/15
9/15=0.6=60%
Theres a 9/15 or 60% chance that she will see a bird on July 1st.
1.


3500(1.64) = 5740
2.


25300(3.07) = 77671
Hope that helps. Feel free to ask any questions
Answer:
Step-by-step explanation:
The first thing we are going to do is to fill in the other angles that we need to solve this problem. You could find ALL of them but all of them isn't necessary. So looking at the obtuse angle next to the 35 degree angle...we know that those are supplementary so 180 - 35 = the obtuse angle in the small triangle. 180 - 35 = 145. Within the smaller triangle we have now the 145 and the 10, and since, by the Triangle Angle-Sum Theorem all the angles have to add up to equal 180, then 180 - (10 + 145) = the 3rd angle, so the third angle is 180 - 155 = 25. Now let's get to the problem. If I were you, I'd draw that out like I did to keep track of these angles cuz I'm going to name them by their degree. In order to find d, we need to first find the distance between d and the right angle. We'll call that x. The reference angle is 35, the side opposite that angle is 12 and the side we are looking for, x, is adjacent to that angle. So we will use the tan ratio to find x:
Isolating x:
so
x = 17.1377 m
Now we have everything we need to find d. We will use 25 degrees as our reference angle, and the side opposite it is 12 and the side adjacent to it is
d + 17.1377, so that is the tan ratio as well:
and simplifying a bit:
and a bit more:
d + 17.1377 = 25.73408 so
d = 8.59, rounded
Speed of Bruce for the rest of the trip is 30 miles/hour.
Step-by-step explanation:
- Step 1: Total distance = 170 miles. In the trip Bruce's speed = 55 miles/hour. So, in 1 hour, distance covered = 55 miles. Find distance covered in 2 hours and the distance of the last part.
Distance covered in 2 hours = 2 × 55 = 110 miles
Remaining part of the trip = 170 - 110 = 60 miles
- Step 2: Find the speed of Bruce in the remaining part of the trip when time = 2 hours and distance = 60 miles.
Speed = Distance/Time = 60/2 = 30 miles/hour