Answer:
18
Step-by-step explanation:
First, you would do a proportion
=
Then you would cross multiply, getting 50x=900.
After that, you would do 900/50, which is 18.
Answer:
−438°, -78°, 642°
Step-by-step explanation:
Given angle:
282°
To find the co-terminal angles of the given angle.
Solution:
Co-terminal angles are all those angles having same initial sides as well as terminal sides.
To find the positive co-terminal of an angle between 360°-720° we will add the angle to 360°
So, we have: 
To find the negative co-terminal of an angle between 0° to -360° we add it to -360°
So, we have: 
To find the negative co-terminal of an angle between -360° to -720° we add it to -720°
So, we have: 
Thus, the co-terminal angles for 282° are:
−438°, -78°, 642°
Answer:
x = 6
Step-by-step explanation:
Step 1: Write equation
75 - 3.5x - 4x = 4x + 6
Step 2: Solve for <em>x</em>
- Combine like terms: 75 - 7.5x = 4x + 6
- Add 7.5x on both sides: 75 = 11.5x + 6
- Subtract 6 on both sides: 69 = 11.5x
- Divide both sides by 11.5: 6 = x
- Rewrite x = 6
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
75 - 3.5(6) - 4(6) = 4(6) + 6
75 - 21 - 24 = 24 + 6
54 - 24 = 30
30 = 30
A) Since there are 3 (3,5,7) odd primes between 0-9 and there are 10 blocks from 0-9, the probability is 3/10
B) Since there are 3 (1,4,9) perfect squares above 0 and there are a totally 10 blocks from 0-9, the probability is 3/10.