Answer:
The correct answer is option C
a = 10√3, b = 5√3, c = 15 and d = 5
Step-by-step explanation:
Points to remember
The angles of a right angled triangle, 30°, 60° and 90° then sides are in the ratio, 1: √3 : 2
<u>To find the value of variables</u>
From the figure we can see 2 right angled triangle with angle 30, 60 and 90
we get, d= 5 then b = 5√3
b = 5√3 the c = 5√3 * √3 = 15
and a = 2 * 5√3 = 10√3
Therefore the correct answer is option C
a = 10√3, b = 5√3, c = 15 and d = 5
Answer:
24.5
Step-by-step explanation:
the radius is half of a diameter
so the radius is 3.9
24.5 = 2πr= 2 * π * 3.9 ≈ 24.504
Answer:
The area of the shaded region is: 32.25m^2
Step-by-step explanation:
Given
See attachment for rectangle and semicircles
Required
The shaded region
We have:
--- length of the rectangle
This means that the diameters of the three circles add up to 30m.
So, the diameter of 1 is:
The area of one circle is:
The area of the three circles is:
The area of the rectangle is:
Where r is the radius of the circle
And
So, we have:
So, the shaded region is:
Answer:
52! ≈ 8.0658 x 10^67
Step-by-step explanation:
52 card options for the first card
51 card options for the second
50 card options for the third
...
2 options for the 51st card
1 option for the 52nd card
52!
The earth is about 4 billion years old. It would require 126,230,400,000,000,000 copies of earth dealing one deck per second for 4 billion years to deal the whole set.
The factors are
(x-y)(x-y)
or
(x-y)^2
Explanation:
We need to factor the trinomial
x^2-2xy+y^2
The factors of x^2 = (x)(x)
The factors of y^2 = (y)(y)
Since the second sign is positive we are adding the factors meaning the signs of the factors need to be the same. Since the first sign is negative both signs must be negative.
The factors are
(x-y)(x-y)
or
(x-y)^2
Check by FOIL
Firsts (x)(x) = x^2
Outers (x)(-y) = -xy
Inners (-y)(x) = -xy
Lasts (-y)(-y) = y^2
combine the middle terms
(-xy)+(-xy) = -2xy
<span>x^2-2xy+y^2</span>
