By definition, the arc length is given by:
arc = R * theta * ((2 * pi) / 360)
Where,
theta: angle in degrees
R: radio
We have then:
(Arc) QPT if <QZT = 120:
theta = 360-120 = 240 degrees
R = 13.5 units
Substituting values we have:
(Arc) QPT = R * theta * ((2 * pi) / 360)
(Arc) QPT = (13.5) * (240) * ((2 * pi) / 360)
(Arc) QPT = 56.55 units
Answer:
(Arc) QPT = 56.55 units
Answer:
Step-by-step explanation:
Expression for the rectangular area and perimeter are, respectively:
After some algebraic manipulation, area expression can be reduce to an one-variable form:
The first derivative of the previous equation is:
Let the expression be equalized to zero:
The second derivative is:
According to the Second Derivative Test, the critical value found in previous steps is a maximum. Then:
The maximum area is:
Answer:
I think you wrote something wrong.
Step-by-step explanation:
If Alaina has $7 in her bank account and Joel had $48 in his Joel already has more then Alaina but I will attempt to teach you how to solve these types of problems.
for this example I'm giving Alaina 79 dollars.
First we know were starting with 79 dollars and increasing 6 dollars each day so the equation for this is; y = 6x + 79 that is Alaina's equation.
For Joel our equation will be; y = 8x + 48.
Since they already have 79 and 48 dollars in their bank we put those as our B in the equation cause they are our y-intercepts. (Y = mx + b) Next we know their increasing by 6 and 8 dollars a day so we make those our m. Once we have these equations we can plot them and see where the lines meet. (thats our answer) I plotted them on desmos graphing calculator.
They crossed at (15.5, 172) Which means it will take 16 days for Joel to catch up they will both have 172 dollars in the bank account on the 16th day.
Hope this helps!
Answer:
-2x^2 -2x + 4
Step-by-step explanation:
Distributive prop.
(-2x-4)(x-1)
-2x^2 + 2x - 4x + 4
-2x^2 -2x + 4
Answer:
5) a) complementary
6) b) supplementary
7) c) vertical angles
Step-by-step explanation:
5)
The sum of the complementary angles = 90 degrees
According to the graph, both angles add up to 90 degrees
Answer: a) complementary
6)
Straight angle is equal 180 degrees
The sum of the supplementary angles = 180 degrees
Answer: b) supplementary
7)
Vertical Angles are the angles opposite each other when two lines cross. The vertical angles are congruent.
Answer: c) vertical angles
