6) A jet travels 590 miles in 2 hours. At this rate, how far could the jet fly in 12 hours? What is the rate of speed of the jet
2 answers:
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Answer:
AB = 13.89
Measure of angle A = 59.74°
Measure of angle B = 30.26°
Step-by-step explanation:
The given parameters are;
∠C = 90°
AC = 7
BC = 12
Part 1
Hence, the question has the dimensions of the two adjacent sides of the right angle (angle 90°)
From Pythagoras theorem, we have;
A² = B² + C²
Where, A is the opposite side to the right angle, hence;
In the ΔABC,
AB ≡ A
Therefore;
AB² = AC² + BC² = 7² + 12² = 193
∴ AB = √193 = 13.89
Part 2
∠A is the side opposite side BC such that by trigonometric ratios
∴ ∠A = Arctan(1.714) or tan⁻¹(1.714) = 59.74°
Part 3
∠B is found from knowing that the sum of the angles in a triangle = 180°
∴ ∠A + ∠B + ∠C = 180° which gives
59.74° + 90° + ∠B = 180°
Hence, ∠B = 180° - (59.74° + 90°) = 180° - 149.74° = 30.26°.
The equation for density is:
To help you remember - my teacher told us to remember "We <span>♡ density," and the heart stands for </span>
, or 
. Cheesy, but it works!<span>
</span>
Back to the problem:
We know the mass if 49g and the volume is 7
, so plug these values into the equation for density:
Answer: The density is 7 g/
To help you remember - my teacher told us to remember "We <span>♡ density," and the heart stands for </span>
</span>
Back to the problem:
We know the mass if 49g and the volume is 7
Answer: The density is 7 g/