When you plot the given points on a coordinate plane, you can see this is an ellipse that is vertical. The equation for this is
. Of the values a and b, a is always greater than b, so it is on our major axis, the y-axis (it's under the y-k). a is the distance from the center to the vertices. When you plotted those given points, you can see that point dead center between the foci and the vertices is the origin (0, 0). That gives us our h and k values of 0 and 0. a is the number of units from the h coordinate of 0 to the y coordinate of the vertex, so a = 12. c is the number of units from the center to the foci, so c = 11. We need to find b now using the formula for the foci which is
. We have c and a, so
and
. Now we have all the info we need to rewrite the equation:
or, simplified,
Answer:
- 65.312 inches
- 326.56 inches
- 1959.36 inches
Step-by-step explanation:
<h3>Given</h3>
<h3>To find</h3>
- Travel in 1, 5, 30 rotations
<h3>Solution</h3>
<u>Circumference of the wheel is equal to one full rotation</u>
- C = πd = 3.14*20.8 = 65.312 inches
- 5C = 5*65.312 = 326.56 inches
- 30C = 30*65.312 = 1959.36 inches
Step-by-step explanation:
The opposite side is the side of the triangle facing the given angle. The adjacent side is the side that the given angle and the right angle lies on. The hypotenuse side is the side facing the right angle. (The hypotenuse side usually looks like a slanted line. Do note that this is not true if your adjacent and hypotenuse side is not horizontal and vertical respectively on the plane of your paper.)
I'll explain a bit more below using the some of the questions.
Q1) The given angle here is 27°.
X is facing the given angle hence it is the opposite side.
The side that is 10 units long is the adjacent side as 27° and the right angle sits on it.
tanθ= opp/adj
tan27°= x/ 10
x= 10(tan 27°)
x= 5.1 units (nearest tenth)
Q3) x is the adjacent side, while the side that is 7 units long is the hypotenuse side.
cosθ= adj/hyp
cos39°= x/7
x= 7(cos39°)
x= 5.4 units (nearest tenth)
Q4) x is the hypotenuse and the opposite side is 8 units long.
sinθ= opp/hyp
sin46°= 8/x
x(sin46°)= 8
x= 8/ sin46°
x= 11.1 units (nearest tenth)
Q5) x is facing the given angle, hence it is the opposite side. The adjacent side is given here, which is 6 units long.
tanθ= opp/adj
tan23°= x/6
x= 6(tan 23°)
x= 2.5 units (nearest tenth)
Feel free to ask if you still do not understand any concepts :)
sinθ= opp/hyp
cosθ= adj/hyp
tanθ= opp/adj
Answer:
1/36
Step-by-step explanation:
There's only 1 way to get the sum of 2.
1,1
Answer:
x<3
Step-by-step explanation: