. Given the following diagram. (a) Name the minor arc __________ Name the major arc ___________ (b) If the minor arc is 112°, what is the measure of the rest of the circle arc length? _____________ (c) Which line is the tangent? ___________ Which line is the secant? __________ (d) If XY is 11 and UX is 9, what is the length of UV? Show all work or no credit.
Answers
Answer:
- (a) minor arc: XY; major arc: XVY
- (b) XVY = 248°
- (c) tangent: UV; secant: UX
- (d) UV = 6√5
Step-by-step explanation:
(a) Any pair of points on the circle that are separated by less than the diameter will define a minor arc. (The minor arc is the shortest arc of the circle between the points.) Possible minor arcs in this diagram are ...
VX, VY, XY
The corresponding major arc is usually named by adding the name of a point between the two endpoints that is not on the minor arc. For the minor arcs above, the corresponding major arcs are ...
VYX, VXY, XVY
Given that part (b) tells us the minor arc of interest is 112°, we assume that arc is the one subtended by the chord: XY.
Then, per the discussion above, the corresponding major arc is XVY.
___
(b) The sum of major and minor arcs is the whole circle, 360°. So, the measure of the major arc is ...
360° -112° = 248°
___
(c) A tangent line intersects a circle at exactly one point. It is perpendicular to a radius to that point of intersection. The tangent line in this diagram is UV.
A secant intersects a circle in two places. The portion of the secant between the points of intersection is called a chord. The secant line UX contains the chord XY.
___
(d) A rule of secants (and chords) is that the product of distances from where the secants (or chords) meet to the two intersection points with the circle is the same. For a tangent line, effectively, the two points of intersection are at the same distance. This means ...
UV·UV = UX·UY
UV² = 9·(9+11) = 180
UV = √180 = √(6²·5)
UV = 6√5 ≈ 13.42
_____
The attached figure is drawn to scale with arc XY being 112°.
Answer:
(a) minor arc: arc VX
major arc: arc VYX
(b) 248 degrees
(c) Tangent: UV
Secant: UY
Step-by-step explanation:
(b) 360 - 112 = 248
(c) UV crosses on the circumference of the circle at exactly one point
UY crosses through the circle at exactly two points
Related Questions
Change 11/5 from an improper fraction to a mixed number
7h + 10 = 9h + 4 A. h=3 B. h=4 C. h=5 D. h=6
1 For a recipe, Paul uses 3 cups of sugar for every 4 cups of flour. Which table showsequivalent ratios for this recipe?
A small toy car costs $3 a large toy car cost 5 times as much as the small one.
Answers
Answer: what is the question to this?
Step-by-step explanation: thanks let me know okay
Answer:
(11/5) (a ratio)
Step-by-step explanation:
11 ounces to 5 ounces could be rewritten as
11 oz.
---------- = (11/5) (a ratio)
5 oz
Answers
Answer:
Step-by-step explanation:
Hotel room = 87.00 a double room means for two people
breakfast = 9.00 X 2 = 18.00
Lunch 14.00 X 2 = 28.00
Dinner 16.00 X 2 = 32.00
add the amounts all together 87 + 18 + 28+ 32 =$165.00 for 2 people
Answers
126/3 = 42degrees Fahrenheit per hour
Answers
Answer: The height of uniform density curve is 0.028.
Step-by-step explanation:
Since we have given that
Uniform distribution between 10 and 45 minutes.
Here,
a = 10 minutes
b = 45 minutes
We need to find the height of the uniform density curve.
So,
So, the height of uniform density curve is 0.028.
Determine the equation of the line of best fit. Write your answer in slope-intercept form. Any non-integers in this problem should be entered as decimal numbers. Round to three decimal places when necessary.
Answers
a) Yes the slope makes sense, as the players foot length gets larger, their overall height also increases signifying that there is a correlation between foot size and height.
b) The y-intercept occurs when the line "intercepts" the y-axis. It also makes sense because a player that has 25 cm in distance from heel to toe may very likely be 1.55 meters in height. This is probable.
c) The equation of any line is:
y=mx+b (m= slope, b= y-intercept)
The slope of this line can be found by locating two points where the line intersects. I will use points (25.5,1.6) and (26.25,1.7).
The formula to find the slope is (y(2)-y(1)) / (x(2)-x(1)) = m
1.7 - 1.6 / 26.25 - 25.5 = .1/.75 = .13333
This line crosses the y-intercept at about 1.55m
The equation of this line is:
y = .1333 x + 1.55
Answer:
y = 0.133x - 1.791
Step-by-step explanation:
The points (27, 1.8) and (27.75, 1.9) lie on the line of best fit. Use these points to find the slope:
m = y2 - y1 1.9 - 1.8 0.1
------------- = ----------------- = -------- = 0.133
x2 - x1 27.75 - 27 0.75
Plug the value of the slope into the equation of the line y = mx +b to get .
y = 0.133x + b
Substitute the point (27, 1.8) into the equation and solve for b:
1.8 = 0.133(27) + b
b = -1.791
Plug the value of b into the equation of the line of best fit to get:
y = 0.133x - 1.791
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This answer came straight from the sample answer on Edmentum.com.
Answers
Answer:
36 pi or 113.04
Step-by-step explanation:
The volume of a sphere is given by
V= 4/3 pi r^3
we know the diameter so we need to find the radius
r =d/2
r = 6/2 = 3
V = 4/3 pi (3)^3
V =36 pi
We can approximate pi by 3.14
V is approximately 36 *3.14 or 113.04
Answer:
113.1 (113.0973355...)
Step-by-step explanation:
1. Use the sphere volume formula of π
.
2. Divide 6 by 2 in order to get a radius of 3.
3. Substitute 3 in for r.
4. Cube the 3, you'll get 27.
5. Multiply 27 by Pi and 4/3.
6. You get 113.1 as a rough estimate, or 113.0973355... for a more exact number. If you leave it in Pi terms, it's 36π.