Area of a triangle = (height * base ) / 2
height = (Area * 2) / base
height = (49.5 * 2) / 9
height = 99 / 9
height = 10 cm²
Answer:
Therefore, the probability is P=0.74.
Step-by-step explanation:
We know that Jose estimates that if he leaves his car parked outside his office all day on a weekday, the chance that he will get a parking ticket is 26%.
Therefore the probability that he will get a parking ticket is P1=0.26.
We calculate the probability that he will not get a parking ticket.
We get:
P=1-P1
P=1-0.26
P=0.74
Therefore, the probability is P=0.74.
Answer:
x =1/12(1-√(97) )
Step-by-step explanation:
Answer:
The system has infinitely solutions
Step-by-step explanation:
we have
Multiply by 3 both sides
----> equation A
The equation A is a circle centered at origin with radius 
and
Divide by 5 both sides
----> equation B
The equation B is a circle centered at origin with radius
Equation A and Equation B are the same
Therefore
The system has infinitely solutions
Answer:
x = 136/35; y = -⁹/₁₀
Step-by-step explanation:
(1) 7x + 8y = 20
(2) 7x – 2y = 29 Subtract (2) from (1)
10y = -9 Divide each side by 10
(3) y = -⁹/₁₀ Substitute (3) into (1)
7x - 2(-⁹/₁₀) = 29
7x + 18/10 = 29 Subtract 18/10 from each side
7x = 29 - 18/10
7x = (290 - 18)/10
7x = 272/10 Divide each side by 7
x = 272/70
x = 136/35
x = 136/35; y = -⁹/₁₀
Check:
(1) 7(136/35) + 8(-⁹/₁₀) = 20
136/5 - 72/10 = 20
136/5 - 36/5 = 20
100/5 = 20
20 = 20
(2) 7(136/35) – 2(-⁹/₁₀) = 29
136/5 + 18/10 = 29
136/5 + ⁹/₅ = 29
145/5 = 29
29 = 29
