Answer:
When you rotate the regular pentagon \begin{align*}72^\circ\end{align*} about its center, it will look exactly the same. This is because the regular pentagon has rotation symmetry, and \begin{align*}72^\circ\end{align*} is the minimum number of degrees you can rotate the pentagon in order to carry it onto itself.
Step-by-step explanation:
The general form of the line is:
y = mx + c where:
m is the slope
c is the y-intercept
Now, we are given that the slope = 1/2.
The equation now became:
y = (1/2) x + c
Now, we need to get the y-intercept. We are given that (-4 ,1) belongs to the line. Therefore, this point satisfies the equation of the line. Based on this, we will substitute with this point in the equation above and solve for c as follows:
y = (1/2) x + c
1 = (1/2)(-4) + c
1 = -2 + c
c = 1+2
c = 3
Based on the above, the equation of the line is:
y = (1/2) x + 3
73,046 in written form is seventy three thousand forty six
Step-by-step explanation:
h = -490t² + 1470t
When h = 980:
980 = -490t² + 1470t
Simplifying:
0 = -490t² + 1470t - 980
0 = t² - 3t + 2
Factoring:
0 = (t - 1) (t - 2)
t = 1, 2
There are two solutions because the rocket first reaches the height of 980 cm as it's going up at 1 second, then it reaches that height again as it's coming down at 2 seconds.
Answer: 37.8
Step-by-step explanation:
a meter is ten less so so u would divied
