Answer:
Solution given:
Right angled triangle ABC is drawn where <C=
we know that
Now
left hand side
Substituting value
distributing power
Taking L.C.M
....[I]
In ∆ABC By using Pythagoras law we get
AB²+BC²=AC²
Substituting value of AB²+BC² in equation [I]
we get
=1
Right hand side
<h3>
<u>proved</u></h3>
Answer:
Gradient of parallel line= 7
Gradient of perpendicular line
Step-by-step explanation:
The equation of the line is already in slope-intercept form (y= mx +c). This means that the coefficient of x is the gradient and the constant -3 is the y-intercept of the line.
y= 7x -3
Gradient= 7
Parallel lines have the same gradient.
Thus, the slope of the line parallel to this line is also 7.
The product of the gradients of 2 perpendicular lines is -1.
(Gradient of perpendicular line)(7)= -1
Gradient of perpendicular line
= -1 ÷7
Answer:
97%
Step-by-step explanation:
100% - 3% = 97%
Hope this helps :)
Answer: 0.0107
Step-by-step explanation:
Given : The time for the event for boys in secondary school is known to possess a normal distribution with
Let x be the random variable that represents the time for mile run in its secondary-school fitness test.
z-score :
Now, the probability that a randomly selected boy in secondary school can run the mile in less than 322 seconds is given by :-
Hence, the probability that a randomly selected boy in secondary school can run the mile in less than 322 seconds = 0.0107