Answer:
Step-by-step explanation:
C = πd. An equivalent formula is C = 2πr.
Solving the first equation for π, we get π = C/d. Solving the second equation for r, we get π = C / (2r)
Answer:
<u>After July, Ana's monthly salary was $1920</u>
Step-by-step explanation:
In May, Ana's monthly salary was $2000. During the next month, the salary increased by 20%, or (0.2)(2000)

So, in June, Ana's monthly salary was $2400. During the next month, the salary decreased by 20%, or (0.2)(2000)

Therefore, after the two changes, Ana's monthly salary was <u>$1920</u>
Answer:
<h2>The lengths of the bases of the trapezoid:</h2><h2>
42/h cm and 84/h cm.</h2>
Step-by-step explanation:
The formula of an area of a triangle:

<em>b</em><em> </em>- base
<em>h</em> - height
We have <em>b = 21cm, h = 6cm</em>.
Substitute:

The formula of an area of a trapezoid:

<em>b₁, b₂</em> - bases
<em>h</em><em> - </em>height
We have <em>b₁ = 2b₂</em>, therefore <em>b₁ + b₂ = 2b₂ + b₂ = 3b₂</em>.
The area of a triangle and the area of a trapezoid are the same.
Therefore
<em>multiply both sides by 2</em>
<em>divide both sides by 3</em>
<em>divide both sides by h</em>


Perpendicular lines have slopes that are negative reciprocals to each other, that is, if one slope is a/b, the other is -b/a
in this case, the given slope is 1/3, so the other line's slope is -3/1, which is -3
from the graph we see that the y intercept of line b is -4, so the equation of line b is: y=-3x-4
Answer:
Vertical.
Horizontal.
Diagonal
Step-by-step explanation: