Answer:
16,20,24,28,32,36,40
Step-by-step explanation:
Answer:
P ( -1, -3)
Step-by-step explanation:
Given ratio is AP : PB = 3 : 2 = m : n and points A(5,6) B(-5,-9)
We will calculate coordinates of the point P which divides line segment AB in the following way:
xp = (n · xa + m · xb) / (m+n) = (2 · 5 + 3 · (-5)) / (3+2) = (10-15) / 5 = -5/5 = -1
xp = -1
yp = (n · ya + m · yb) / (m+n) = (2 · 6 + 3 · (-9)) / (3+2) = (12-27) / 5 = -15/5 = -3
yp = -3
Point P( -1, -3)
Volume of the cone is 100 in³
Step-by-step explanation:
- Step 1: Volume of a cone = 1/3 πr²h. Find volume of the cone where r = 3 inches and h = 9 inches.
Volume = 1/3 × 3.14 × 3² × 9
= 84.78 in³ ≈ 100 in³ (rounding off to nearest hundredth)
Answer:
2 2 3
Step-by-step explanation:
Answer: The answer is cosine of that acute angle.
Step-by-step explanation: We are to find the ratio of the adjacent side of an acute angle to the hypotenuse.
In the attached figure, we draw a right-angled triangle ABC, where ∠ABC is a right angle, and ∠ACB is an acute angle.
Now, side adjacent to ∠ACB is BC, which is the base with respect to this particular angle, and AC is the hypotenuse.
Now, the ratio is given by

Thus, the ratio is cosine of the acute angle.