The order Queen Zubaida picks a Satrap and a Vizier does not matter. Since order does not matter, combination is used.
Using a calculator, we solve for nCr = 12C2 = 66 ways..
Or using the combination formula C(n,r) = n!/[(n-r)!r!]
C(12, 2) = 12!/[(10!)(2!)] = 66 ways.
Answer:
x=49.0
Step-by-step explanation:
Hi there!
In this right triangle, we're given an angle and the opposing side, and we're trying to solve for the length of the hypotenuse.
In this situation, we can use the sine ratio:
Plug in the known information
Therefore, the length of the missing side is 49.0 units when rounded to the nearest tenth.
I hope this helps!
Answer:
Step-by-step explanation:
Based on the information given we can say the two points are (-5, 4) and (-10, 0). An x-intercept is where the line crosses the x-axis giving us a y value of 0.
So, we will use the following formula, where m is equal to the slope.
Now we will plug in the x and y values given above, (-5, 4) and (-10, 0).
Note: In the denominator of the first line, the -5 was changed to a 5 because in the original equation, we are told to subtract. When you have two negatives they cancel each other out.
Hope this helps! <3
The sum of the interior angles of an n gon is <span> (n-2)*180
the measure of each interior angle is </span><span>(n-2)*180/n
the measure of each individual exterior angle of an ngon is 360/n
all exterior angles add to 360
1. sum of 15 gon is
(15-2)*180=13*180=2340 degrees
2. deca is 10
(10-2)*180/10=8*18=144 degrees
3. dodecagon is 12 sides
360/12=30 degrees
4. 4 sides, those are exterior angles, so they add to 360
4r+7r+8r+5r=360
24r=360
r=15 degrees
5.
pentagon or 5 sides
sum of internal is (5-2)*180=3*180=540 degrees
540=4z+5z+3z+5z+3z
540=20z
27 degrees=z
3z=81=A=D
4z=108=B
5z=135=C=E
6. (n-2)*180
20 gon
(20-2)*180=18*180=3240 degrees
7. exterior angles add to 360
4y+2y+4y+6y=360
16y=360
y=22.5
2y=45 degrees
4y=90 degrees
6y=135 degrees
8. interior angles of 4 gon sum is
(4-2)*180=2*180=360
2n+6n+5n+2n=360
15n=360
n=24
2n=48
5n=120
6n=144
9.
6gon
(6-2)*180=4*180=720
90+90+x+x+22+x+x+22=720
224+4x=720
minus 224 both sides
4x=496
divide by 4
x=124
10., exterior angle of pentagon, 5 gon
360/5=72=x
11.
(n-2)*180/n=4*(360/n)
times both sides by n
(n-2)*180=4*360
divide both sides by 180
n-2=4*2
n-2=8
n=10
10 sides
12.
area of octogon of side is
</span>2(1+√2)s² where s is the side length
given, 12=side length
A=2(1+√2)12²
A=2(1+√2)144²
A=288(1+√2)
A=288+288√2 square cm
Try this option (see the attacthed file; answer is marked with red colour); note, that
answer: 2 m/h.
