Answer:
after 21 seconds
Step-by-step explanation:
Given
h = - 16t² + 272t + 1344
When the ball strikes the ground then h = 0, that is
- 16t² + 272t + 1344 = 0 ( divide through by - 16 )
t² - 17t - 84 = 0 ← in standard form
(t - 21)(t + 4) = 0 ← in factored form
Equate each factor to zero and solve for t
t - 21 = 0 ⇒ t = 21
t + 4 = 0 ⇒ t = - 4
However t > 0 thus t = 21
The ball strikes the ground after 21 seconds.
Answer:
.
See the diagram attached below.
Let the chords be AB and AC with common point A.
AD is the diameter. Join B with D and C with D to form two triangles.
We need to prove that AB=AC.
\begin{gathered}In\ \triangle ABD\ and \triangle ACD;\\Given\ that\ \angle BAD=\angle CAD----(condition\ 1)\\since\ AD\ is\ diameter, \angle ABD=\angle ACD = 90^0\\So\ \angle ADB=\angle ADC--------(condition\ 2)\\AD=AD\ (common\ side)-----(condition\ 3)\\ \\So\ the\ triangles\ are\ congruent\ by\ ASA\ rule.\\Hence\ AB=AC.\end{gathered}
In △ABD and△ACD;
Given that ∠BAD=∠CAD−−−−(condition 1)
since AD is diameter,∠ABD=∠ACD=90
0
So ∠ADB=∠ADC−−−−−−−−(condition 2)
AD=AD (common side)−−−−−(condition 3)
So the triangles are congruent by ASA rule.
Hence AB=AC.
Answer:
Step-by-step explanation:
Convert rectangle (x , y) to polar coordinates ( r , θ)
a) converts (9, 0) to polar coordinates ( r , θ)
b) Convert 
to polar coordinates ( r, θ)
c) converts (-5, 5) to polar coordinates ( r , θ)
d) converts (-1, √3) to polar coordinates ( r , θ)
Answer:
A. 6
B. 3 and 3
Step-by-step explanation:
A) 8x3/4
B) since the area is three and you have to spit the triangle down the middle...
You draw a line diagonally from the top right corner to the bottom left corner and the area would be 3 and 3 because 6 in half is 3
(4⁰ = 1 too small)
4¹ = 4
4² = 16
4³ = 64
4⁴ = 256
(4⁵ = 1,024 too big)
