Consider a ΔABC in which ∠ C = 90°, ∠A = 60° and ∠ B = 30°.
Side AB will be the hypotenuse.
cos 60° = AC / AB -------[ cos 60° = 1/2]
So, AB = 2 AC -------------------------------(1)
Apply Pythagorean Theorem to find BC
AB² = BC² + AC²
4 AC² = BC² + AC²
So, BC = √3 AC ------------------------(2)
Now, we shall find the value of cos 30°
cos 30° = CB / AB
or, = √3 AC / 2 AC -------using equations (1) and (2)
So, cos 30° = √3 / 2
Hence, the exact value of
Since ∠A = 2∠B. So, cos 30° will be √3 / 2
To find the gradient of the perpendicular line, we know that we must do the negative inverse of the current line's gradient
-6x from the old line will now be 1/6x
we are given points on that line and we therefore use the points and the new gradient to find the equation of the line using this formula
y-y1=m(x-x1) where m is the gradient
input the values that we have
y-5=1/6(x--4)
rearrange
y-5=1/6(x+4)
y-5=1/6x+4/6
6y-30=x+4
6y=x+34
y=1/6x+34/6
y=1/6x+17/3
Answer:
9.434 X 10^66
Step-by-step explanation:
2.34 X 10^65 + 9.2 X 10^66 (First, you have to manipulate the exponents to bring them to the same index, i.e. the same power)
We can say that 2.34 X 10^65 = 0.234 X 10^66
Now that the indexes are equivalent, we can proceed to add the two bases together.
0.234 X 10^66 + 9.2 X 10^66
= (0.234 + 9.2) X 10^66
= 9.434 X 10^66
Answer:
rewrite each sentence change the underline word (s) to a pronoun my friends and i are going to the movies
Constant of Proportionality = d/t = 90/2 = 45 mph
In short, Constant of Proportionality would be: 45 miles per hour.
Here, d/t = 45
d = 45t
In short, Your Equation would be: d= 45t
Hope this helps!
