49. 100-36= how many girls in percent
= 64%
64%= 16 girls
64/100=16/x
cross multiply
1600=64x
x=25
It was used to see how your basic math skills
Let ABC be a triangle in the 3rd quadrant, right-angled at B.
So, AB-> Perpendicular BC -> Base AC -> Hypotenuse.
Given: sinθ=-3/5 cosecθ=-5/3
According to Pythagorean theorem, square of the hypotenuse is equal to the sum of square of the other two sides.
Therefore in triangle ABC, 〖AC〗^2=〖AB〗^2+〖BC〗^2 ------
--(1)
Since sinθ=Perpendicular/Hypotenuse ,
AC=5 and AB=3
Substituting these values in equation (1)
〖BC〗^2=〖AC〗^2-〖AB〗^2
〖BC〗^2=5^2-3^2
〖BC〗^2=25-9
〖BC〗^2=16
BC=4 units
Since the triangle is in the 3rd quadrant, all trigonometric ratios, except tan
and cot are negative.
So,cosθ=Base/Hypotenuse Cosθ=-4/5
secθ=Hypotnuse/Base secθ=-5/4
tanθ=Perpendicular/Base tanθ=3/4
cotθ=Base/Perpendicular cotθ=4/3
Answer: D. The length is 13 units.
Step-by-step explanation:
(-1, -3 ) Find the difference between the x values and y values.
(11, -8)
-3-(-8) = 5
-1-11 = -12 now find the absolute values.
The absolute value of 5 is 5 . The absolute value of -12 is 12.
Now use the Pythagorean Theorem formula a^2 + b^2 =c^2 where c square is the length between AB.
5^2 + 13^2 = C^2
25 + 144 = c^2
169=c^2
c= 13
