1/√2
Step-by-step explanation:
Imagine a right-angled triangle, for e.g. Triangle ABC,
Where
B = 90°
Remember your Toa Cah Soh.
sin 45° = opposite / hypotenuse
If theta = 45°
Angles A and C = 45° (Sum of angles in a triangle equal = 180°)
Since theta are the same, we can also deduce that the length AB and BC are the same.
Take for example AB = BC = 1 = opposite
By the Pythagorean theorem,
AB² + BC² = AC²
1² + 1² = AC²
2 = AC²
AC = √2 = hypotenuse
Therefore:
sin 45° = opposite / hypotenuse
sin 45° = 1/√2
Answer:
brainliest?
Step-by-step explanation:
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Any line parallel to the given line will have the same slope as does the given line. Here that slope is -9.
The new line passes thru (-2,5).
Therefore, using the slope-intercept form,
5 = -9(-2) + b. Find b: 5 = 18 + b, so b = -13. The equation of the new, parallel line is then
y = -9x - 13 (answer to first question).
If you want the slope of a line perpendicular to the given line, use the "negative reciprocal" of the slope of the given line as the slope of the new, perpendicular line. Thus, the new slope will be -1/(-9), or (+1/9).
Use the slope-intercept form, with slope = (1/9), to find the line perpendicular to the given line that passes thru the given point. Share your work, please.
Answer:
372 miles
Step-by-step explanation:
The appropriate relation is ...
miles = (miles/gallon) × gallons
distance = (31 mi/gal)×(24 gal) = 744 mi
Brittany drove 744 miles to see the ocean. Since this was her round trip distance, the one-way distance is ...
744 mi/2 = 372 miles
