Answer:
Step-by-step explanation:
Twelve
You are correct, but I have a small comment.
As far as I can see, you have both 12 and 13 correct. The short way to do 12 is just to divide 72 into 360
360 / 72 = 5
The more general formula is 360 / central angle = # of sides.
What the question means is that if your start with a polygon (it is a regular polygon by the way), and rotate it around its center, how many sides does it have in order that when you go through 72 degrees, the figure looks like it did when you started.
If the polygon is completely unmarked, then the idea is that it will look like you haven't done anything to the polygon even though you have rotated it 72 degrees.
The way you did 13 is exactly how it should be done.
Answer:
<u>The first option is </u>
<u>The second option is:</u>
- B(0) = 1000
- B(1) = 1100
- The ratio is 1.1 and the zero term is 1000
<u>The equation for this option is:</u>
Now, which option is better?
It depends on the number of x. It is assumed the genie is offering money or similar reward.
For the values of x below 50 option A is better and option B is much better for x > 50.
See the graph in the attachment, where green line represents the option A and red line is option B.
Answer:
-4
Step-by-step explanation:
We have the coordinates (6, 3) and (8, 4), allowing us to calculate the slope (or gradient). To do this, you divide the change in y by the change in x, which is 1/2 which is a half.
The form of a linear equation is y = mx + c, where m is the gradient and c is the y-intercept.
We have the gradient, so we can put it in the equation:
y = x/2 + c
We can now substitute in a pair of our coordinates and rearrange to find the y-intercept.
3 = 6/2 + c
3 = 3 + c
c = 0
Therefore the equation for our line is y = x/2.
We can now put in the y coordinate we were given to work out the corresponding x coordinate:
-2 = x/2
x = -4
Therefore n is -4.
Answer:
40%
Step-by-step explanation:
Answer: 11.1 m
Step-by-step explanation:
This can be solved by the Pythagorean theorem where;
c² = a² + b²
c is the hypotenuse which is the distance from the top of the building to the tip of the shadow.
a is the height
c is the length
32² = 30² + b²
b² = 32² - 30²
b² = 1,024 - 900
b² = 124
b = √124
b = 11.1 m
