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:
That is the simplest form.
Step-by-step explanation:
Answer:
51 mg
Step-by-step explanation:
A new health drink has 170% of the recommended daily allowance (RDA) for a certain vitamin. The RDA for this vitamin is 30mg.
The above question is calculated as:
RDA of the vitamin × 170%
The RDA for this vitamin is 30mg
Hence:
30mg × 170%
= 51 mg
Therefore, the milligrams of the vitamin that are in the drink is 51 mg
Answer:
n = 250
Step-by-step explanation:
To express the ratio, the quantities must have the same measures
2 cm : 5 m
= 2 cm : 500 cm [ 1 m = 100 cm ]
Divide both parts by 2
= 1 : 250 → with n = 250
