Answer choice 3
is the best choice.
=3*100 + 17*10 + 13*1 + 1*0.1 + 2*0.01
=300 + 170 + 13 + 0.1 + 0.02
= 483.12
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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.
Hello!
We can solve this algebraically
2x + 5 = 3 + 2(x+1)
Distribute the 2
2x + 5 = 3 + 2x + 2
combine like terms
2x + 5 = 2x + 5
Since both sides of the equation is the same all values of x make the equation true
The answer is A
Hope this helps!
2 times the amount that the army is to the basket ball hoop