Answer:
x = 5√3; y = 5
Step-by-step explanation:
Finding y: The sine function links the 30° angle, the 10 unit hypotenuse and the side opposite the angle, y:
sin 30° = 1/2 = y/10
Solve the equation of ratios
1 y
-- = ----- using cross-multiplication first: 2y = 10 → y = 5
2 10
We can now find x either by using a similar approach and the cosine function or by using the Pythagorean Theorem:
x² + y² = 10² = 100 → x² = 100 - y² = 100 - 5² = 75
If x² = 75, then x = ±√75 = ± (√25)·(√3) → ±5√3
Since lengths are always positive, take x = 5√3 as the answer.
Answer:
At 0.77 mi/min, Matt travels faster than Jennifer, who averages
only 0.67 mi/min.
Step-by-step explanation:
Average speed = distance/time
<em>For Samantha,
</em>
Average speed = 10/15
Average speed = 0.67 mi/min
<em>For Matt,
</em>
Average speed = 23/30
Average speed = 0.77 mi/min
Answer:
find the average.
Step-by-step explanation:
Answer:
10 is real, rational, integer, whole, natural
5/6 is real, rational
sqrt of 24 is real, irrational
0 is real, rational, integer, whole
sqrt 81 is real, rational, integer, whole, natural
Step-by-step explanation:
Classification
<h3>
The two solutions are: x = 0 and x = 1/2</h3>
====================================================
Work Shown:
10x^2 - 5x = 0
5x(2x - 1) = 0 .... factor out the GCF
5x = 0 or 2x-1 = 0 .... zero product property
x = 0/5 or 2x = 1
x = 0 or x = 1/2
Note: 1/2 = 0.5
We could use the quadratic formula here, or we could complete the square, but that's overkill in my opinion.
