Step-by-step explanation:
(4x + 6) + (3x + 14) + 90= 180 sum of angles in an triangle theorem
7x + 20 = 90 Algebra
x=10 Algebra
I hope this helps!!!!
<h3>
Answer: Period = 90 seconds</h3>
The period represents how long it takes go from one max to the next max (ie peak to peak). It also represents going from min to min.
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Explanation:
It reaches the max at 10 seconds, and then it reaches the min at 55 seconds. This is a timespan of 55-10 = 45 seconds. This is exactly half the period. It doubles to 2*45 = 90 seconds. This is the time period between any two points in time when you're at the max height (from one max to the next adjacent max).
So you're at the max height at 10 seconds, then min at 55 seconds, then the max again at 100 seconds. Note how 100-10 = 90.
The period of any trig function is basically telling us when the function or cycle repeats itself. Once we reach the peak again, the ride repeats itself from before.
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Notes:
- 90 seconds = 1 minute, 30 seconds = 1.5 minutes
- The actual heights listed (11 m and 1 m for the max and min respectively) do <u>not</u> play a role in determining the period. So the heights can be anything we want, and the period will stay at 90 seconds.
Answer: 15 miles
Step-by-step explanation:
Answer:
4/5
Step-by-step explanation:
Move the decimal point to the right 2 place values and set the number over 100:
0.8 = 80/100
80/100 can be your answer.
However, most likely you'll have to simplify. Divide common factors from both the numerator & denominator:
(80/100)/(4/4) = 20/25
(20/25)/(5/5) = 4/5
4/5 is your fractional form.
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Check the picture below.
bear in mind that the "point of tangency", namely where the tangent touches the circle, with the radius of a circle, are always at a right-angle, therefore ∡OBZ is a right-angle.