Answer:
The other angle is 60°
Their ratio is 1 : 2
Step-by-step explanation:
Let us revise some special angles
A pair of complementary angles is two angles their sum is 90°
A pair of supplementary angles is two angles their sum is 180°
In the question
∵ One angle of the pair of complementary angle = 30°
∵ The sum of the two complementary angles = 90°
→ Subtract 30° from 90° to find the other angle
∴ The other angle = 90° - 30° = 60°
∴ The other angle is 60°
To find the ratio of them put them in the form of the ratio, then simplify the ratio to its simplest form
∵ Their ratio = 30 : 60
→ Divide both sides by 10
∴ Their ratio = 3 : 6
→ Divide both sides by 3
∴ Their ratio = 1 : 2
∴ Their ratio is 1 : 2
This may or may not be right.
You know that they are a graduate, and the total number of graduates are 2610.
The amount of graduates receiving financial aid is 1879.
The probability that a graduate student is on financial aid is: 1879/2610 = 0.7199 or 72%
Answer:
X=11
Step-by-step explanation:
since x=11,11-5=6.
then 6*3=18
Answer:
In bold.
Step-by-step explanation:
a. (x+5)^2 – 3x(x+5) x+5 is common
= (x + 5)(x + 5 - 3x)
= (x + 5)(5 - 2x)
b. (x + 5)(5 - 2x) = 0
x = -5, 2.5.
2a. Area of the square = (x + 5)^2
Area of triangle AEB
= 1/2 * base * height
I am assuming that H is the centre of AB , so
Area = x*x
= x^2.
2b
6x^2 = (x + 5)^2
6x^2 = x^2 + 10x + 25
5x^2 - 10x - 25 = 0
x^2 - 2x - 5 = 0
x = [-(-2) +/- sqrt(2^2 - 4*1*-5)] / 2
x = -1.45, 3.45.
(we ignore the negative).
I think this is geometry. So you would have to use the standard equation of a circle.
The standard equation of a circle with center (h,k) and a radius of r is: (x-h)^2 + (y-k)^2 = r^2
With that equation, we know that the center of YOUR equation is (3 , 2).
So now make (x-3) and (y-2) equal to 0.
That would make x=3 and y=2.
Therefore the answer is A.
