Answer:8
Step-by-step explanation:
I'm smort
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:
10004
Step-by-step explanation:
2(2x − 1) > 6 or x + 3 ≤ −6
2(2x − 1) > 6
4x - 2 > 6
4x > 8
x > 2
or
x + 3 ≤ −6
x ≤ - 9
Solution: x ≤ - 9 or x > 2
(- ∞ , - 9] or (2 , + ∞)
Answer is the first one
(- ∞ , - 9] or (2 , + ∞)
Answer:
Number of full size cars = 900
Step-by-step explanation:
The ratio of medium size cars to compacts is 7 to 5 and the ratio of compacts to full-size cars is 8 to 9. Since compact cars are there in both ratios , we need to make the number in the ratio for compact cars to be the same.

Multiply by 8 on numerator and denominator


Multiply numerator and denominator by 5.

Ratio of medium, compact and full size are in ratio 56,40,45.
Total number of cars =2820.
(56 + 40 + 45)x = 2820
x = 
x = 20
Number of full size cars =
=900