Answer:
Height of cone (h) = 14.8 in (Approx)
Step-by-step explanation:
Given:
Radius of cone (r) = 6 in
Slant height (l) = 16 in
Find:
Height of cone (h) = ?
Computation:
Height of cone (h) = √ l² - r²
Height of cone (h) = √ 16² - 6²
Height of cone (h) = √ 256 - 36
Height of cone (h) = √220
Height of cone (h) = 14.832
Height of cone (h) = 14.8 in (Approx)
Step-by-step explanation:
every triangle inscribed into a circle with the baseline being a diameter of the circle must be a right-angled triangle.
therefore,
angle XVY = 90°.
for VY we can use Pythagoras
c² = a² + b²
with c being the Hypotenuse (the line opposite of the 90° angle, in our case XY).
XY = 2×ZY = 2×17 = 34.
so,
34² = 30² + VY²
VY² = 34² - 30² = 1156 - 900 = 256
VY = 16
Answer:
x + y = 162 and x = 2y - 6
Step-by-step explanation:
Let the total wins be x
Let the total loss be y
If a baseball team's total wins and losses for one season is 162, this can be expressed as;
x + y = 162 ....... 1
If the number of wins is 6 less than 2 times the number of losses, this is expressed as;
2 times the number of losses = 2y
6 less than 2 times the number of losses = 2y - 6
Now, If the number of wins is 6 less than 2 times the number of losses this is expressed as;
x = 2y - 6 .... 2
Hence the required system of equation are;
x + y = 162 and x = 2y - 6
