David drives 40 miles in one hour. How many miles does he drive 1.5 hours?
1 answer:
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Hello!
Use the equation F = m · a to solve where:
F = total force (N)
m = mass (kg)
a = acceleration (m/s²)
We are given the force and mass, so we can plug these values into the equation to solve.
However, mass is used in kilograms, so we must convert from grams to kilograms:
1 kg = 1000 grams
Convert using dimensional analysis or proportions:
Plug in the force and mass to solve:
6.5 = 0.5(a)
Divide both sides by 0.5 (Multiply by 2)
a = 13 m/s²
Answer:
The best approximation for the measure of angle ABC is:
Third option: 58.3°
Step-by-step explanation:
This is a right triangle, because it has an angle of 90° (right angle) in vertex C, and we need one of the acute angles "x". We have the side opposite to the angle of 90° (right angle), this is the longest side in the right triangle, the Hypotenuse: H=20 cm
We have one of the legs (the sides form the right angle), and this leg is the Adjacent leg: A=10.5 cm to the angle "x".
To find the angle "x" we must use the trigonometric function that relates its adjacent leg (A) with the hypotenuse (H), and this function is cosine:
cos x = Adjacent Leg / Hypotenuse
cos x = A / H
Replacing the known values:
cos x = 10.5 cm / 20 cm
cos x = 0.525
Solving for x:
Rounding to 1 decimal place:
x=58.3°