between 30 and 50 is approximately 40
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.
Answer:
The slope would be 1/4.
Step-by-step explanation:
To find the perpendicular slope first you have to set this equation to y
to do this you use the subtraction prop of equality and you will get 12x-9= -3y
then you divide by -3 on both sides to get y by itself
you will get -4x+3=y
now that you know the slope is -4, you must find the negative reciprocal slope of this which means you have to flip the numerator and denominator and make the sign its opposite.
The perpendicular slope would then be 1/4.
Answer:
See explanation
Step-by-step explanation:
Given:
18m + 42n
These two variables are not the same, so we can't add the two terms. However, we can factor out a number out of this expression.
The GCF of 18 and 42 is 6.
We can draw 6 out of this expression to get 6(3m + 7n).
This is an equivalent expression.
We can also draw 2 out to get 2(9m + 21n).
We can also draw 3 out to get 3(6m + 14n).
We can also draw 1/2 out to get (1/2)(36m + 84n).
There are endless possibilities, but these are a few. You get the idea!
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