Answer:α
=
71
°
:
explain:
From trigonometry we have:
cos
α
=
7
21
7
=
21
cos
(
α
)
and:
α
=
a
r
c
cos
(
7
21
)
=
70.5
≈
71
∘
Answer:
22.96 cm
Step-by-step explanation:
Let the point of contact of the tangent with the circle be R.
Let the centre of the circle be O.
We are told that from Point P, the length of the tangent is 24 cm.
Thus, PR = 24 cm
Now, the radius will be perpendicular to the tangent at the point of contact with the circle.
Thus, ORP will form a right angle triangle where ∠R = 90°
Since radius = 7 cm, we can use pythagoras theorem to find OP which is the distance of P from the centre.
Thus;
OP = √(24² - 7²)
OP = √527
OP = 22.96 cm
Answer:
56.25 feet.
Step-by-step explanation:
h(t) = 60t - 16t^2
Differentiating to find the velocity:
v(t) = 60 -32t
This equals zero when the ball reaches its maximum height, so
60-32t = 0
t = 60/32 = 1.875 seconds
So the maximum height is h(1.875)
= 60* 1.875 - 16(1.875)^2
= 56.25 feet.
2(xy)+17(xy)= 19xy
Answer: 19xy
Answer:
(3,5)
Step-by-step explanation:
n(AUB)=(3)U(5)
=(3,5)
