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1 answer:
For the given triangle, x measures 8.6 cm.
Step-by-step explanation:
Step 1; In the given triangle, the opposite side has a length of x units, the adjacent side has a length of y units while the hypotenuse of the triangle measures 15 units. The angles given are 35° and 90°, this makes the triangle a right-angled triangle.
Step 2; As we have the values of the angle and the hypotenuse, we can calculate the sine of the angle to determine the value of x.
sin 35° = =
, sin 35° = 0.57357.
0.57357 = , x = 0.57357 × 15 = 8.60355 cm.
Rounding this off to the nearest tenth, we get x = 8.6 cm.
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Money offered to Michelle per annum in Job A = $1700
Number of years she will work in job A = 5
Percentage of earnings per annum for her retirement plan = 6.60%
Money she will earn will be the simple interest at the end of 5 years.
We know that :
Principal = $1700
Rate = 6.60%
Time = 5 years
Which means :
We also know that :
Amount Michelle will earn at the end of 5 years for her retirement plan :
2261 can be rounded off to 2260.
Therefore, Michelle will earn <u>$2260</u> at the end of 5 years for her retirement plan.
Answer:
Step-by-step explanation:
Perpendicular lines will have slopes that are the multiplicative additive inverse of each other: a line with slope 3/4 is perpendicular to a line with slope -4/3, for example. You need a line that is perpendicular to a line with slope -2 (reading that from the -2 in the -2x portion of the given equation, which is written in slope-intercept form), so your new line must have slope +1/2.
With the slope and a point, we can come up with an equation using this formula:
y - y-coordinate = slope (x - x-coordinate)
So we have y - (-2) = 1/2 (x - 4).
Simplify the equation: y + 2 = 1/2 x - 2
Subtract 2 from both sides: y + 2 - 2 = 1/2 x - 2 - 2
Simplify: y = 1/2 x - 4.