Answer:
24
Step-by-step explanation:
Lets start by working out 80% of 30
80% x 30=24
so the student answered 24 questions correctly
SA= Lateral Area + Area (of base)
Lateral area = perimeter of base x height
An isosceles triangle has two congruent base segments. The hypotenuse of an isosceles right triangle is (length of base segment) x (the square root of 2). I did the math for you (shown above) to get 5 as a base.
So 5 + 5 + square root of 50 is your perimeter
Multiply the perimeter times your height (8) and you get the lateral area.
Add your lateral area to the base area (triangle = 1/2 bh)
LA = 136.568...
Area of Triangle base = 12.5
Surface area = 149.068... square cm
Answer: 0.87 times per second (Or 52.2 times per minute)
Step-by-step explanation:
You need to make the conversion from minutes to seconds.
Remember that 1 minute has 60 seconds. Then 20 minutes to seconds is:
Find the number of times the heart beats in 1 second when it is rowing:
Find the number of times the heart beats in 1 second when it is resting:
Then the difference is:
(Or 52.2 times per minute)
Answer:
6 feet
Step-by-step explanation:
Perimeter = 2L + 2W
Since you know the perimeter is 64 feet, you would plug that into the perimeter side.
64 = 2L + 2W
You also know the width is 2 feet longer than 4 times the length.
64 = 2L + 2(2 + 4L) ----> Multiply 2 * 2 and 2 * 4l
64 = 2L + 4 + 8L ----> Subtract 4 from each side
-4 -4
60 = 2L + 8l ----> add these two
60 = 10L
/10 /10 -----> divide by 10 on each side
6 = L
Now that we know the length, find the width.
64 = 2(6) + 2(2 + 4(6)) -----> multiply 2 * 6 and 4 * 6
64 = 12 + 2(2 + 24) -------> add 24 and 2
64 = 12 + 2(26) -------> multiply 2 and 26
Before you go any further, you now know that the width is 26 feet. Continue solving.
64 = 12 + 52
64 = 64
Everything checks out.
The length is 6 feet and the width is 26 feet.
For domain 2x sqrt(2+x)>0
x>0,2+x>0,x>-2 combining
we get x>2
f'(x)=[1/{2x sqrt(2+x)}][{2x/(2 sqrt(2+x))}+2 sqrt(2+x)]