In ΔNOP, the measure of ∠P=90°, the measure of ∠N=83°, and NO = 83 feet. Find the length of OP
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Answer: Length OP = 82.38 feet
Step-by-step explanation: Given that the ΔNOP, the measure of ∠P=90°, the measure of ∠N=83°, and NO = 83 feet.
We can find the length of OP by using trigonometry ratio since it is a right angle
NO = hypothenus and
OP = opposite
Sin 83 = OP/NO
Sin83 = OP/83
OP = 83sin83
OP = 82.38 feet
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Arithmetic operations can be used to change linear equations in form ax+by=c to y=mx+b form and vice versa and this can be determined by simple subtraction and division operation.
Given :
ax + by = c
y = mx + c
The following steps can be used to change the linear equation in form (ax+by=c) to (y=mx+b) form:
Step 1 - Write the equation.
ax + by = c
Step 2 - Subtract ax from both the sides in the above equation.
ax + by - ax = c - ax
by = c - ax
Step 3 - Divide by 'b' from both sides in the above equation.
By following the above steps equation (ax + by = c) can be converted into (y = mx + c).
The following steps can be used to change linear equation in form (y = mx + c) to (ax + by = c) form:
Step 1 - Write the equation.
y = mx + c
Step 2 - Subtract mx from both sides in the above equation.
y - mx = c + mx -mx
y - mx = c
By following the above steps equation (y = mx +c) can be converted into (ax + by = c).
For more information, refer to the link given below:
by = c - ax
y = c/b - ax/b
Since c/b will be a constant, you can replace it with any variable (i.e. b), and so that represents the y-intercept and a/b will also be a constant, so that can also be replaced by any variable (i.e. m), and it represents the slope.
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Answer:
160
Step-by-step explanation: Once you multiply 14 ft x 15 ft you get 210 ft. But already done 50 you subtract it and get 160.
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Then
The amount of commission received by the salesperson = (2.5/100) * 8000 dollars
= 2.5 * 80 dollars
= 200 dollars
So the salesperson receives a commission of $200 on the total sales made. I hope the procedure is clear enough for you to understand. You can use this method in future for solving similar problems without requiring any help from outside.
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Answer:
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