Answer:
729π ft³
Step-by-step explanation:
Applying,
Volume of a cone
V = πr²h/3.............. Equation 1
Where r = radius of the base, h = height, π = pie
From the question,
Given: r = 9 ft, h = 27 ft
Substitite these values into equation 1
V = π(9²)(27)/3
V = 729π ft³
Hence the volume of the figure in terms of π is 729π ft³
Answer:
![A = 78^\circ](https://tex.z-dn.net/?f=A%20%3D%2078%5E%5Ccirc)
![B = 102^\circ](https://tex.z-dn.net/?f=B%20%3D%20102%5E%5Ccirc)
![C = 102^\circ](https://tex.z-dn.net/?f=C%20%3D%20102%5E%5Ccirc)
Step-by-step explanation:
Given
The attached image
Required
Find A, B and C
Because the sides of the crosswalk are parallel and the sidewalks are also parallel, then the following relationships exist
---- alternate interior angles
---- alternate interior angles
To solve for B, we have:
--- the sum of the base angles
![B = 180 - 78](https://tex.z-dn.net/?f=B%20%3D%20180%20-%2078)
![B = 102^\circ](https://tex.z-dn.net/?f=B%20%3D%20102%5E%5Ccirc)
Recall that:
![B = C](https://tex.z-dn.net/?f=B%20%3D%20C)
![C = 102^\circ](https://tex.z-dn.net/?f=C%20%3D%20102%5E%5Ccirc)
In geometry, it is always advantageous to draw a diagram from the given information in order to visualize the problem in the context of the given.
A figure has been drawn to define the vertices and intersections.
The given lengths are also noted.
From the properties of a kite, the diagonals intersect at right angles, resulting in four right triangles.
Since we know two of the sides of each of the right triangles, we can calculate their heights which in turn are the segments which make up the other diagonal.
From triangle A F G, we use Pythagoras theorem to find
h1=A F=sqrt(20*20-12*12)=sqrt(256)=16
From triangle DFG, we use Pythagoras theorem to find
h2=DF=sqrt(13*13-12*12)=sqrt(25) = 5
So the length of the other diagonal equals 16+5=21 cm
B)
She started with -6 and ended up with -10 so her score was 4 less than what she started with so it is -4