Answer:
The dot product of (7,5) and (-5,4) is -15
Step-by-step explanation:
Given
(7,5) and (-5,4)
Required
Determine the dot product
Dot product is calculated using the following formula;
Let a = (7,5) and b = (-5,4);
The above formula becomes
Hence, the dot product of (7,5) and (-5,4) is -15
Answer:
1. No 2.Yes 3.No 4.Yes
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given that,
The perimeter of the base of pyramid, P = 10.7 ft
The height of the pyramid, h = 9.8 ft
We need to find the volume of the pyramid.
The perimeter of square is given by :
4s = 10.7, s is side
s = 2.675 ft
Now the volume of pyramid is given by :
So, the volume of the pyramid is equal to .
Answer:
240/sqrt(pi)
Step-by-step explanation:
We know that the area of a circle is $pi*r^2$, and we also know that the diameter of a circle is equal to $2r$.
Let's first make an equation for this problem.
pi*r^2=14400
Dividing both sides by pi, we get
r^2=14400/pi
Now, taking the square root of both sides gives us
r=120/sqrt(pi)
We are trying to find the diameter, which is twice the size of the radius.
Thus, we multiply the equation by two.
2r=240/sqrt(pi)