The angle measurements in the diagram are represented by the following expressions. ∠
A
=
6
x
−
3
5
∘
∠A=6x−35
∘
start color #11accd, angle, A, end color #11accd, equals, start color #11accd, 6, x, minus, 35, degrees, end color #11accd
∠
B
=
3
x
+
5
3
∘
∠B=3x+53
∘
start color #28ae7b, angle, B, end color #28ae7b, equals, start color #28ae7b, 3, x, plus, 53, degrees, end color #28ae7b

A
A
B
B
Solve for
x
xx and then find the measure of
∠
A
∠Astart color #11accd, angle, A, end color #11accd:
∠
A
=
∠A=start color #11accd, angle, A, end color #11accd, equals

∘
∘
degrees

Ahigh-altitude spherical weather balloon expands as it rises, due to the drop in atmospheric pressure. suppose that the radius r increases at the rate of 0.02 inches per second, and that r = 36 inches at time t = 0. determine the equation that models the volume v of the balloon at time t, and find the volume when t = 360 seconds. v(t) = 4π(0.02t)2; 651.44 in3 v(t) = 4π(36 + 0.02t)2; 1,694,397.14 in3 v(t) = four pi times the product of zero point zero two and t to the third power divided by three.; 4,690.37 in3 v(t) = four pi times the quantity of thirty six plus zero point zero two t to the third power divided by three.; 337,706.83 in3