Answer:
24.59 feet
Step-by-step explanation:
Let x represent the distance between Sam and the bird.
We have been given that am the owl is looking down at a 24° angle from the top of a tree that is 10 ft tall, when he spots a bird on the ground. We are asked to find the distance between Sam and the bird.
We can see from our attachment that Sam, the bird and angle of depression forms a right triangle with respect to ground. We can see that side 10 ft is opposite side and and side x is hypotenuse for the 24 degree angle.
Therefore, the bird is approximately 24.59 feet away from Sam.
Answer:
1/3
Step-by-step explanation:
Answer: lateral surface area = 119.4cm^2
r = 2 cm.
h = 9.5 cm.
Steps:
Lateral surface area of a cylinder = 2πrh
r = radius h = height π = pi
2π(2)(9.5)
2π(19)
38π = 119.38052
Answer:
14.4
Step-by-step explanation:
Divide 18 miles by 5 hours to tell us how many miles she can do in 1 hour.
Multiply the answer by 4 to tell us how many miles in 4 hours.
(18/5) * 4 = 14.4 Miles
The first time I solved this problem, I did it in a way that I had to
mess with changing fractions to common denominators and all that.
Suddenly, however, the clean and easy way to do it dawned on me.
Here it is:
-- There are 56 marble in the bag.
-- The probability of pulling a red marble is 5/8, so
5/8 of the 56 marbles must be red.
5/8 of 56 = 35 red marbles.
-- The probability of pulling a green marble is 1/7,
so 1/7 of the 56 marbles must be green.
1/7 of 56 = 8 green marbles.
-- The red and green marbles make up (35 + 8) = 43
of the 56 marbles in the bag.
-- The rest of them are yellow.
There are (56 - 43) = 13 yellow marbles in the bag.
-- The probability of pulling a yellow marble is 13/56 . (about 23.2%)
No messy fractions at all !
That's the way I like it !
