Answer:
MON = 130°
Step-by-step explanation:
LOM + MON = 180°
In other words
4z + 30° + 8z + 90 = 180°
12z + 120 = 180
60 = 12z
z = 5
5 x 8 = 40 + 90 = 130°
Answer:
y = -7/4x
Step-by-step explanation:
This is correct because to find the perpendicular, you need to find the opposite reciprocal of the slope. In this case, the slope is 4/7, so the opposite reciprocal is -7/4.
3 less: -3
difference of 16p and 15p: 16p - 15p = p
is equal to: =
the difference of 3 and 1/2: 3 - 1/2 = 2.5
p - 3 = 2.5
Isolate the p. Note the equal sign. What you do to one side, you do to the other. Add 3 to both sides
p - 3 (+3) = 2.5 (+3)
p = 2.5 + 3
p = 5.5
5.5 is your answer for p
hope this helps
Answer: A = (b²-5b)/2
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
Base =b
Height = h = b-5 (the height is 5 units shorter than the base)
Since:
Area of a triangle (A)= (base x height) ÷ 2
Replacing with the values given:
A = [b (b-5)] ÷2
A = (b²-5b)/2
Feel free to ask for more if needed or if you did not understand something.
We first find the shortest distance between the point (2, 0) and the curve

Let the point on the curve for which the line making the shortest distance be (x, y), then

But,

Therefore,

For minimum d(d)/dx = 0

Therefore, shortest distance is

Since it costs 400 dollars per mile, 4.47 miles will cost 4.47 x 400 = $1,788.20