Answer:
(a) 169.1 m
Step-by-step explanation:
The diagram shows you the distance (x) will be shorter than 170 m, but almost that length. The only reasonable answer choice is ...
169.1 m
__
The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
The leg of the right triangle adjacent to the marked angle is x, and the hypotenuse is 170 m. Putting these values into the equation, you have ...
cos(6°) = x/(170 m)
x = (170 m)cos(6°) ≈ (170 m)(0.994522) ≈ 169.069 m
The horizontal distance covered is about 169.1 meters.
_____
<em>Additional comment</em>
Expressed as a percentage, the slope of this hill is tan(6°) ≈ 10.5%. It would be considered to be a pretty steep hill for driving.
Answer:
BC = 40º
BMC = 40º
Step-by-step explanation: Since the measure the major and minor arcs add up to 360º, just subtract 320 from 360 to find BC which is 40º. <BMC is also 40º because the measure of the arc is equal to its corresponding angle.
Answer:
1. 650, 700 2. 840, 800 3. 370, 400 4. 80, 100 5. 620, 600 6. 250, 200 7. 970, 1,000 8. 330, 300 9. 450, 400 10. 210, 200 11. 100, 100 12. 710, 700
Step-by-step explanation:
Answer:
1/12
Step-by-step explanation:
The probability of rolling a 4 is 1/6.
The probability of flipping heads is 1/2.
The probability of both is 1/6 × 1/2 = 1/12