Answer:
See the attached figure which represents the problem.
As shown, AA₁ and BB₁ are the altitudes in acute △ABC.
△AA₁C is a right triangle at A₁
So, Cos x = adjacent/hypotenuse = A₁C/AC ⇒(1)
△BB₁C is a right triangle at B₁
So, Cos x = adjacent/hypotenuse = B₁C/BC ⇒(2)
From (1) and (2)
∴ A₁C/AC = B₁C/BC
using scissors method
∴ A₁C · BC = B₁C · AC
Answer: 7
Explanation: both triangles are congruent, so the mid segment is half of 14
Answer:
Radioactive decay (also known as nuclear decay, radioactivity, radioactive disintegration, or nuclear disintegration) is the process by which an unstable atomic nucleus loses energy by radiation. A material containing unstable nuclei is considered radioactive. Three of the most common types of decay are alpha decay (α-decay), beta decay (β-decay), and gamma decay (γ-decay), all of which involve emitting one or more particles. The weak force is the mechanism that is responsible for beta decay, while the other two are governed by the electromagnetic and strong forces.[1]
If f(x) = {(2, 3), (4, 8), (7, –1)} and g(x) = {(8, 2), (–1, 4), (2, 7)}, find (f ◦ g)(x), if it exists.
zepelin [54]
Answer:
(f o g )(x) = {8, 3), (-1, 8), (2, -1)}
Step-by-step explanation:
(f o g)(x) = [f(g(x)]
g(8) = 2 and f(2) = 3
g(-1) = 4 and f(4) = 8
g(2) = 7 and f(7) = -1
So, (f o g )(x) = {8, 3), (-1, 8), (2, -1)}
Answer:
b and d
Step-by-step explanation:
hope it helped
