In order to find this you need to find a common denominator. 2/3 and 3/4 common denominator would be 12 and so what you do to the bottom you must do to the top. 2x4 is 8 and 3x3 is 9. that would make 8/12 and 9/12. 8 plus nine is 17 and 12 stays there so the answer is 17/12 which equals 1 and 5/10.
Hello!
Decimals used to confuse me a lot! :D
When a question asks to round the decimal to the "nearest tenth", it simply means to round it to one decimal place.
6.7086 would be rounded to 6.7 if we round it to the nearest tenth. See, the 7 is in one place after the decimal point.
The best way to understand decimal places, in my opinion, is to search up a tenths, hundredths, thousandths, etc. chart. Hope this gave you a better understanding of decimal places!
Answer:
a = -5
Step-by-step explanation:
6a + 20 = 2a
6a = 2a - 20
4a = - 20
a = -5
Answer:
A) 150 m
B) 180.28 m
Step-by-step explanation:
A) In order to find the horizontal distance from the base of the cliff to the speed boat, use the Pythagorean theorem to calculate the length of the missing side.
We are told that one of the sides is 80 m and the hypotenuse is 170 m. Therefore,
- a² + b² = c²
- (80)² + b² = (170)²
- b² = 170² - 80²
- b² = 22500
- b = 150
The horizontal distance between the base of the cliff and the boat is 150 m.
B) Now, the side that was 80 m is now 100 m (includes the height that the helicopter is above Jumbo). The horizontal distance remains the same, 150 m, but the hypotenuse is different. Solving for the hypotenuse will give us the distance between the helicopter and the speed boat.
- (100)² + (150)² = c²
- 32500 = c²
- 180.28 = c
The distance between the helicopter and the speed boat is 180.28 m.