Answer:The blue line is the tangent line that passes through the point (0.75, 0.25). The point on the tangent line is (3, 4). The gradient of the curve is approximately 0.6. Note: Parallel lines have the same gradient.
Step-by-step explanation:
Answer:
42.8°
Step-by-step explanation:
The sine rule states that for a triangle with lengths of a, b and c and the corresponding angles which are opposite the sides as A, B and C, then the following rule holds:

Given that points A, B and C forms a triangle with angle A = 65°, distance from A-to-C = 90 m and the distance from B to C = 120 m.
The distance from A to C is the side opposite to angle B. Hence let b = distance from A to C = 90 m.
The distance from B to C is the side opposite to angle A. Hence let a = distance from B to C = 120 m.
Therefore using sine rule:

First lets distribute the 5x
5x^2 + 30x = -50
Lets divide every term by 5
x^2 + 6x = -10
To complete the square we have to half the b value, which in this case is 6. Then square it.
Half of 6 is 3, 3 squared is 9
Add that to both sides of the equation
x^2 + 6x + 9 = -1
Find the binomial squared
(x+3)^2 (If you're wondering how i got that please comment)
(x+3)^2 = -1
Take the square root of the equation of both sides
(x+3) = +/- i
x = -3 +/- i
x = -3 - i
and
x = -3 + i
Radius is half the circumference
c= 2(square root) pieA
Answer:
a. $8625
Step-by-step explanation:
So there are 115 members and they each raise $75.
That means one member would raise $75, the second member would raise another $75, the third would raise another $75 etc....
So you just have to multiply 115 and 75 together and that gives you $8625