Answer:
translation then reflection
Step-by-step explanation:
The possible digits are:
5, 6, 7, 8 and
9. Let's mark the case when the locker code begins with a prime number as
A and the case when <span>the locker code is an odd number as
B. We have
5 different digits in total,
2 of which are prime (
5 and
7).
First propability:
</span>
![P_A=\frac{2}{5}=40\%](https://tex.z-dn.net/?f=P_A%3D%5Cfrac%7B2%7D%7B5%7D%3D40%5C%25)
<span>
By knowing that digits don't repeat we can say that code is an odd number in case it ends with
5, 7 or
9 (three of five digits).
Second probability:
</span>
Answer:
x is 3.
Step-by-step explanation:
Vertically opp angle are equal.
Answer:The area is 14306. 625 cm.
Step-by-step explanation:
To find the area of the circle, we will need to find the diameter and find the radius.
So we know the circumference is 423.9 m and we know to get the circumference, you will need to multiply pie by the diameter .
so now we need divide the circumference by pie to find the diameter.
423.9/ 3.14 = 135 so 135 is the diameter.
To find the radius we need to divide the diameter by 2.
135/2 = 67.5
Now is time to find the area which uses the formula A= nr^2
A = 3.14 * 67.5^2
A = 14306. 625
Answer:
θ = {(4/3 +2k)π, (5/3 +2k)π}
Step-by-step explanation:
From your knowledge of trig functions, you know that sin(60°) = sin(π/3) = (√3)/2. So, the angles of interest are in the 3rd- and 4th-quadrant and will have π/3 as their reference angle.
θ = 4/3π +2kπ, and 5/3π +2kπ