Answer: 30 mph is the answer.
Step-by-step explanation:
s = 3 miles
t = 6 minutes
so,
60 minute = 1 hour
1 minute = 1/60 hour
6 minutes = 1/60 * 6 = 0.1 hour
so
average speed = s/t
= 3/0.1 = 30 mph
Answer: 18 square ft.
Step-by-step explanation:
Surface area is length*width. 1*1= 1*6= 6
since there are three cubes, it is 6*3= 18 square ft total.
Answer:
Step-by-step explanation:
BD is opposite the 30° angle. The sine of 30° is 0.5. The sin of an angle in a right triangle is opposite/hypotenuse so BD = sin 30°x8.
Now you have two known lengths The third can be found by applying the Pythagorean theorem: BC²+BD²=CD², from which you can establish a numerical value for BC.
Answer:
5 pints per hour.
Step-by-step explanation:
Morning:
Given:
Number of strawberries packed in every 4 minutes = 3
∴ Number of strawberries packed in every one minute = 
So, number of strawberries packed in every 60 minutes = 
1 hour = 60 minutes.
So, strawberries are packed at a rate of 45 pints per hour in the morning.
Afternoon:
Number of strawberries packed in every 3 minutes = 2
∴ Number of strawberries packed in every one minute = 
So, number of strawberries packed in every 60 minutes = 
1 hour = 60 minutes.
So, strawberries are packed at a rate of 40 pints per hour in the afternoon.
Difference between the packing rates is given as:
Morning rate - Afternoon rate = 45 - 40 = 5 pints per hour.
So, she packed 5 more pints in one hour in the morning than in the afternoon.
Answer:
The required proof is shown below.
Step-by-step explanation:
Consider the provided figure.
It is given that KM=LN
We need to prove KL=MN
Now consider the provided statement.
KM = LN Given
KM = KL+LM Segment addition postulate
LN = LM+MN Segment addition postulate
KL+LM = LM+MN Substitution property of equality
KL = MN Subtraction property of equality
The required proof is shown above.
