Answer: 77.05
Step-by-step explanation: 1) Draw a right triangle with these measures:
angle with the horizontal: 6 degress
horizontal segment: 5
height: x
2) Definition of tangent : tan(6°) = opposite leg / adjacent leg = x / 5 =>
3) Solve for
x = 5tan(6°) = 77.05
Answer:
AB = 14
DE =7
Step-by-step explanation:
Remark
<em>AB</em>
Opposite sides of a parallelogram are equal.
AB = CD
AB = 14
<em>DE</em>
According to the diagram AE = 19
AD = 26 which is the same size as BC
DE = 26 - 19 = 7
DE = 7
Because there was a pay rise, we can write the equation as x+0.04x = 24.492 and solve for x.
x+0.04x = 24.492
1.04x = 24.492
x=23.55
His original pay was £23.55
The slope of the line is 2. Why? Well, see below for an explanation!
The slope of a line is found by using the formula rise/run (rise over run). This means that by starting at the initial value of the y-intercept, 3, we would count how many units away we are from the next complete point. We do so by counting from left to right, and in this case, going up and then to the right. To get from the point (0, 3) to the point (1, 5), we would move two spaces vertically along the y-axis and one space horizontally along the x-axis. Because the slope of the line is found using the formula m = rise over run, the slope would be 2/1 because we went up 2 points and to the right one. When simplifying, we will find that 2 divided by 1 equals 2. Hence, our slope is 2.
Your final answer: The slope of the line is 2/1 or 2. If you need extra help, let me know and I will gladly assist you.
