A) Minute Hand:
in 1 hour (= 60 minute) the minute hand travels 360 °
So in each minute, the minute hand travels 360/60 = 6°
And in x minute it will travel x.(6°)
B) Hour Hand:
in 1 hour (= 60 minute) the hour hand travels 360/12 = 30°
So in each minute, the hour hand will travel 30°/60° = 0.5°
And in x minute it will travel x.(0.5°)
ANGLE AT 4:35?
At 4:00, angle = 4. 30 = 120°
After 35 minutes, the minute hand strops at 35.(6°) = 210°, but during this 35 minute, the hour hand traveled 35.(0.5) = 17.5°, on top of its 120°, that makes an angle of 137.5°
So at 4:35 the angle between the hour & minute hand = 210°-137.5° =72.5°
Answer A
Answer:
Step-by-step explanation:
Assuming this problem :"Only 30% of the students in a certain liberal arts college are males.
If two students from this college are selected at random, what is the probability that they are both males?"
Previous concepts
An independent event is an "event that has no connection to another event's chances of happening ". For this case we can assume that if one person is male and if we select another one the probability that this one would be male or female is totally indepedent from the first selection.
When we have two independent events let's say A and B and we want to find the probability that both events occurs at the same time we can use the following formula:
Solution to the problem
We can define some notation:
first person selected is a male
second person selected is male
On this case we want the probability that both would be males. And we can express this like this on math terms:
For this case we can assume that the two events are independent. And in order to find the probability for two events independents events we just need to multiply the probabilities of each one like this:
Answer:
17 feet
Step-by-step explanation:
A bag of lawn fertilizer covers 289 square feet
Dimensions of the largest square plot of lawn that the bag of fertilizer will cover.
Area of a square lawn = length^2
Area of the square lawn = 289 square feet
Area of a square lawn = length^2
289 = length^2
Find the square root of both sides
√289 = √length^2
17 = length
Length = 17 feet
Dimensions of the largest square plot of lawn that the bag of fertilizer will cover = 17 feet by 17 feet
28.6 / 89.4 = 0.75 / x
cross multiply
28.6x = 67.05
x = 67.05 / 28.6
x = 2.34 <==
Answer:
6
Step-by-step explanation:
=> -x+4
<u><em>Given that x = -2</em></u>
=> -(-2)+4
=> 2+4
=> 6
