Answer:
B = 22
C = 122
D = 36
Step-by-step explanation:
The angles of a triangle add to 180. Take the measure of each angle add them together. Set them equal to 180.
2x + x + 4 + 7x - 4 = 180
10x = 180
x = 18
To find each angle, substitute x = 18.
Angle B is 18 + 4 = 22
Angle C is 7(18) - 4 = 122
Angle D is 2(18) = 36
The answer is B. 5P5 x 20P15.
This is because to make the second grade students to sit in the first row we have 5 seats and 5 students so we will permute the 5 students to those 5 seats. So 5P5.
Now we are left with 20 seats and 15 first grade students so we can simply permute those 15 students into those 20 seats. So 20P15.
Finally using the counting rule principle we will multiply both of these so 5P5 x 20P15.
N-10=5-4n
n+4n=5+10
5n=15
n=3
Answer:
There are 21 skateboards and bicycles in the shop.
A bicycle has two wheels, and a skateboard has four wheels
54 new wheels are needed
Number of bicycles = 15
Number of skateboards = 6
Step-by-step explanation:
Number of bicycles and skateboards = 21
Number of new wheels ordered = 54
Number of wheels in a bicycle = 2
Number of wheels in a skateboard = 4
Number of skateboards and bicycles in shop?
Let number of bicycles = b
Number of skateboards = s
b + s = 21 - - - (1)
(2*b) + (4*s) = 54
2b + 4s = 54 - - - - - - (2)
From (1)
b = 21 - s
2(21 - s) + 4s = 54
42 - 2s + 4s = 54
42 + 2s = 54
2s = 54 - 42
2s = 12
s = 6
From : b = 21 - s
b = 21 - 6
b = 15
Number of bicycles = 15
Number of skateboards = 6
Answer: 184.08 l.y.
Step-by-step explanation:
Let the width of Orion's belt is x light year.
By cosine law,
Thus, the width of the Orion's belt is 184.08 light year.