Answer:
not a right triangle
Step-by-step explanation:
We can use the Pythagorean theorem to see if it is a right triangle
a^2 + b^2 = c^2
15^2 + 12^2 = 21^2
225 + 144 = 441
369 = 441
This is not true so it is not a right triangle
ANSWER:
Let the smallest integer = x
x + x + 1 = 3 ( x + 2 ) - 17
2x + 1 = 3x + 6 - 17
2x - 3x = 6 - 17 - 1
- x = - 12
x = 12
FINAL ANSWER:
Therefore, the smallest integer is 12.
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Answer:
1.84
Step-by-step explanation:
The given arc is a part of a unit circle centered at origin.
The x-coordinate on the unit circle represent the cosine value and y-coordinate on the unit circle represent sine value.
So, for angle equal to
°, the x coordinate represents
°.
So,
° = 0.86
Similarly, the y-coordinate of angle y represent
°.
So,
° = 0.98
Therefore, the value of
° +
° = 0.86 + 0.98 = 1.84.
The mean is the average of a set of numbers.
To find the mean of this data, form a number set by gathering all the numbers.
We need to find the average weekly allowance. To do this, each number in the number set should be the different allowances, and their quantity is the number of students who earned that allowance.
In this case, there would be seven 0s, five 3s, seven 5s, three 6s, and two 8s.
The numbers are:
0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 8, 8
To find the mean of these numbers, add then together then divide by the total amount of numbers.
This means doing:
(0 + 0 + 0 + 0 + 0 + 0 + 0 + 3 + 3 + 3 + 3 + 3 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 6 + 6 + 6 + 8 + 8) / 7 + 5 + 7 + 3 + 2
An easier formula could be used by using multiplication.
This would be [7(0) + 5(3) + 7(5) + 3(6) + 2(8)] / 24
This is a lot easier to read!
Now to solve it.
7 • 0 = 0
5 • 3 = 15
7 • 5 = 35
3 • 6 = 18
2 • 8 = 16
0 + 15 + 35 + 18 + 16 = 84
84 / 24 = 3.5
The mean is 3.5, or $3.50
This means that the average weekly allowance amongst these students is $3.50.
Hope this helps!
When you buy a car you have all the money upfront ready either in cash, check, etc. Leasing is when you have a little bit or most of the money. Because you dont have all of it you pay for the car monthly and pay a little bit more than the actual value of the car as interest for "borrowing" their money since you couldn't afford the entire value of the car upfront. The more money you put down at the time of leasing, the less the interest usually is.