Answer:
960 ft
Step-by-step explanation:
We need to find the surface area. To do this, let's see the shapes that are present. There are two triangles with a base and height of 9 and 12, respectively. There is one rectangle with a base and height of 24 and 15, one with base and height of 24 and 12, and finally one with a base and height of 24 and 9.
The areas are:
Triangles: 1/2bh = 1/2(9)(12) = 48 (there are two of these)
Rectangle 1: bh = (24)(15) = 360
Rectangle 2: bh = (24)(12) = 288
Rectangle 3: bh = (24)(9) = 216
Adding all these areas together, we get 960.
Thus, Monique will need 960 feet of fabric to cover the prism.
Hope this helps!
Answer:
Step-by-step explanation:
The equation that models the height of the ball in feet as a function of time is
Where 
is the initial height, 
is the initial velocity and t is the time in seconds.
We know that the initial height is:
The initial speed is:
So the equation is:
The ball hits the ground when when 
So
We use the quadratic formula to solve the equation for t
For a quadratic equation of the form
The quadratic formula is:
In this case
Therefore
We take the positive solution.
Finally the ball takes 2.47 seconds to touch the ground
1 fathom = 6 feet
2 1/2 fathoms = x feet
2 1/2 fathoms • 6 feet = x feet
x = 15
2 1/2 fathoms = 15 feet
Answer:
No
Step-by-step explanation:
Because 17 is greater than 5 + 9.
To form a triangle, no side can be equal or greater than the sum of the other 2 sides.
Answer:
the correct answer is D: they form concentric circles.
