<h3>
Answer:</h3>
a. -(3√13)/13
<h3>
Step-by-step explanation:</h3>
The cosine can be found from the tangent by way of the secant.
tan(θ)² +1 = sec(θ)² = 1/cos(θ)²
Then ...
cos(θ) = ±1/√(tan(θ)² +1)
The <em>cosine is negative in the second quadrant</em>, so we will choose that sign.
cos(θ) = -1/√((-2/3)² +1) = -1/√(4/9 +1) = -1/√(13/9)
cos(θ) = -3/√13 = -(3√13)/13 . . . . . matches your selection A
Answer:
0.0854
Step-by-step explanation:
= 0.0854
Please mark brainliest. Have a great day!
Answer:
first blank is 3
second blank is 2.5
last blank is 0.5
Step-by-step explanation:
A = LW
A = 320
L = 5W
320 = W(5W)
320 = 5W^2
320/5 = W^2
64 = W^2
sqrt 64 = W
8 = W
L = 5W
L = 5(8)
L = 40
so the length (L) = 40 cm and the width (W) = 8 cm
P = 2(L + W)
P = 2(40 + 8)
P = 2(48)
P = 96 <=====
Volume of the cone=1/3πr^2h
V=1/3π(1.25)^2×2.75
V≈4.5 cubic inches
Volume of the sphere=4/3πr^3
V≈0.07 cubic inches
4.5-0.07=4.43. As a result, the volume of the cone that can fipp with ice is about 4.43 cubic inches. Hope it help!