Answer:
36
Step-by-step explanation:
Triangle FED and Triangle AEC are similar.
That means, the ratio of corresponding sides are equal. Thus we can say:
Also, since EC is 39 and D is the midpoint, ED and DC are half of that. Hence ED = 39/2 = 19.5
Now we can use the ratio to solve for AC:
Hence, AC = 36
9514 1404 393
Answer:
Step-by-step explanation:
Mary and Amaruk are starting 35 -15 = 20 km apart. Their closing speed is 40 +25 = 65 km/h. The time it will take to close the gap between them is ...
t = (20 km)/(65 km/h) = 20/65 h = 4/13 h ≈ 0.308 h
They will pass each other after 4/13 hours, about 18 minutes 28 seconds.
__
In that time, Mary will have increased her distance from Hall Beach by ...
d = (4/13 h)(25 km/h) = 100/13 km = 7 9/13 km
Her distance from Hall Beach when she passes Amaruk will be ...
15 km + 7 9/13 km = 22 9/13 km ≈ 22.7 km . . . . . distance from Hall Beach
Answer:
12 bats
Step-by-step explanation:
Let us number the bat caves from 1 to 45 and divide them into 5 parts:
a) 1
b) 2 to 29 ( bats)
c) 30
d) 31 to 44 ( bats)
e) 45
It is given that any 7 caves in a row has 77 bats. Hence, the total number of bats in part b and d = bats.
There remains bats in cave number 1, 30 and 45.
Now, our question demands the maximum possible number of bats in cave 30.
Minimum number of bats in a cave is 2. So we shall put 2 bats in the last cave, which gives us bats in the first cave.
Therefore, the number of bats in cave number 30 = bats.