ANSWER: x > -6
1. subtract 12 from each side
2. divide by -3 which will make the sign flip
I only know (b) and 28 (c)
(b) Multiples of 120= 120,240,360,480,600
Multiples of 150= 150,300,450,600
Both numbers have 600 as their first common multiple so the ANSWER is 600
28. (a) Common factors of 24= 1,2,3,4,6,8,12,24
Common factors of 64= 1,2,4,8,16,32,64
8 is the only common factor for both 24 and 64 so 8 is the ANSWER
Answer:
x = 20
Step-by-step explanation:
These angles are equal to each other because they are vertical angles.
Hence, we can equal the two measurements together to solve for x:
3x + 50 = 6x - 10
3x + 60 = 6x
60 = 3x
20 = x
Check your work:
3(20) + 50 = 6(20) - 10
60 + 50 = 120 - 10
110 = 110
Correct
Here you would use right triangle trig (SOH CAH TOA)
So first draw a right triangle. Imagine youre standing at the angle opposite the right angle which is the one on the ground.This angle is the 41°. Now Imagine the balloon is as the angle above the right triangle. Well since the balloon is 1503 m from his location this would be the hypotenuse. SInce we are trying to find the height (x) we would use sine since
sine = opposite/hypotenuse . Now lets solve make sure calculator is in degree mode:
sin41 = x/1503 multiply both sides by 1503 to cancel it out
1503sin41 = x plug into calculator
x = 986.057 ft
The balloon is 986.057 feet above the ground.
Answer:
1.8
Step-by-step explanation:
We want 3% of 60 = 0.03 * 60 = 1.8
