Answer:
Halving the diameter will halve the radius, so the volume of the new cylinder would be . The new volume is one - fourth of the original cylinder. So you can see the volume is now a quarter than the original one.
Step-by-step explanation:
Answer:
35 dogs
Step-by-step explanation:
We can simplify the ratio 49:28 by dividing by 7
The new ratio is 7:4 which is easier to work with.
It says there are 20 cats so we know that for every 4 cats there are 7 dogs
We simply multiply 20 by 7/4
20 x 7/4 = 35 so there are 35 dogs
Answer:
5
Step-by-step explanation:
I'm assuming you want to find the maximum value of y
recall that for any cosine function y = A cos ( g(x) ), where g(x) is any arbitrary function, that A represents the amplitude of the cosine function.
By definition, the amplitude is the maximum the value which the cosine term can take.
hence for your expression:
y= -1 + 6 cos ( 2π/7(x-5) )
max value of y = -1 + (max value of cosine function)
max value of y = -1 + (amplitude of cosine function)
max value of y = -1 + 6 = 5
Actual area of the rectangular building = 5040 feet²
Step-by-step explanation:
Length of the rectangular building = 7 feet
Width of the rectangular building = 5 feet
Now, The building is made with a scale factor of 12
So, Actual length of the rectangular building = 84 feet
Actual width of the rectangular building = 60 feet
Now, Actual area of the rectangular building = Length × Width
⇒ Actual area of the rectangular building = 84 × 60
⇒ Actual area of the rectangular building = 5040 feet²
No, because a right angle is 90 degrees.