Answer:
3:1
Step-by-step explanation:
If you look at the sides, they all have the same factor of three, and dividing by three gets you to the smaller rectangular prism.
Answer: The number of $12 tickets and $15 sold are 120 and 180 respectively.
Step-by-step explanation:
The given equation is:
12x + 15y = 4140 .....(1)
Where,
x stands for $12 tickets and y stands for $15 tickets
According to the question:
x + y = 300 ....(2)
Now solving equation 1 and 2.
From equation 2:
x = 300 - y
Now putting this expression in equation 1.
12x + 15y = 4140
12(300 - y) + 15y = 4140
3600 - 12y + 15y = 4140
3600 + 3y = 4140
3y = 4140 - 3600
3y = 540
y = 180
And,
x = 300 - y = 300 - 180 = 120
The number of $12 tickets sold = x = 120
The number of $15 tickets sold = y = 180
Thus, the number of $12 tickets and $15 sold are 120 and 180 respectively.
Answer:
√7 ≈ 2.646
Step-by-step explanation:
The law of cosines is applicable. It tells you ...
c² = a² + b² - 2ab·cos(C) . . . . . where a, b, c are triangle side lengths, and angle C is opposite side c.
Filling in the given information, you have ...
c² = 2² + 3² - 2·2·3·cos(60°) = 4 + 9 - 12·(1/2) = 7
c = √7 ≈ 2.646
The length of the third side is √7, about 2.646 units.
Answer:
40°
Step-by-step explanation:
Measure of Nonagon (9-sided polygon) = 1260°
Each angle measure = 1260 ÷ 9 = 140°
The value of x (the outside angle) = 180° - 140° = 40°