PLATO EDMENTUM END OF SEMESTER TEST: GEOMETRY B | LITERATURE AND THE AMERICAN REVOLUTION: MASTERY TEST Rounded to the nearest tenth, what is the perimeter of the triangle? (30,60,90 hypotenuse = 5cm) - answer - 11.8 centimeters
What is the value of x in the triangle? - answer - 3
First, drag a value to represent the missing angle in the triangle. Then, complete the trigonometry equality statements. - answer - missing angle = 90 - theta
sin 28 = cos 62
cos 33 = sin 57 cos 31 = sin 59
cosine 90 - theta = sin(theta)
On a football field, the left and right tackles are lined up on the same yard line. A linebacker is 15 yards away from that yard line. The angles of the lines of sight of the tackles to the linebacker that are made with the yard line are shown in the diagram. Approximately how far apart are the left and right tackles? - answer - 39.3 yards
An airplane departs airport A at a heading of 300 ∘ (N 60∘W). After traveling 320 miles, the airplane adjusts its course to 350 ∘ (N 10∘W) and flies an additional 112 miles to reach airport B. - answer - 401 miles
Triangle XYZ has an altitude as shown. Eric and Maggie are both trying to prove the law
of sines. - answer - correctly started by both Eric and Maggie
set the right side of the equation equal
transitive property of equality
In the diagram, point M is the center of the circle. If m ∠PMN = 134°, what is m ∠PON? - answer - 67
In the given figure, what is the measure of angle CPE? - answer - [X] 68
The length of an arc of a circle is 7.34 units, and the measure of the corresponding central angle is 81°. What is the approximate length of the radius of the circle? - answer - 5.19 units
Circle O has radius of 24 units. Arc XY located on the circle has a central angle of 75 ∘. What is the area of the associated sector, in square units? - answer - 120pi
Jenna attempted to construct equilateral triangle EFG inscribed in circle C. First, she used a compass to draw circle C and labeled its center. Next, she used a straightedge to draw a diameter of the circle. She labeled the endpoints of the diameter D and E. Then, keeping the compass set equal to the radius of circle C, she drew an arc
centered at point E, which intersected the circle at two points that she labeled F and G. Finally, she used a straightedge to draw three chords connecting points E, F, and G.
What was the first error Jenna made in her construction? - answer - When Jenna drew the arc that intersected circle C, she should have used point D as the center of the arc.
In her notebook, Pia wrote these steps to construct a square inscribed in a circle:
Use a compass and a straightedge to find chord LM, which is the perpendicular bisector
of JK. Then, use a straightedge to draw the four chords that make up the square: JL, LK, KM, and MJ.
Which instruction is Pia missing? - answer - Draw any diameter on a circle and label it JK.
In ABC, the angle bisectors meet at point D. Point E is on , and is perpendicular to . Point F is the location where the perpendicular bisectors of the sides of the triangle meet. What is the radius of the largest circle that can fit inside ABC? - answer - [X] AD
A quadrilateral is inscribed in circle O. The angle measures of the quadrilateral, in degrees, are given by the expressions shown in the figure. - answer - [X] 75
A circle is defined by the equation given below.
�2 + �2 − � − 2� − 114 = 0
What are the coordinates for the center of the circle and the length of the radius? - answer - (/2, 1) 2 units
Which equation represents circle N? - answer - (x + 7)2 + (y − 6)2 = 50
What is the equation of the parabola shown with its focus on this graph? - answer - y = -
1/12x^2 + 1
Given the focus and directrix shown on the graph, what is the vertex form of the equation of the parabola? - answer - x = 1/10(y-3)^2 - 3/2
An instrument maker creates a triangle in the shape of an isosceles triangle by bending a metal rod. The rod is 13 inches long, and the bottom of the triangle is longer than the two sides. What is the length of the longest side? - answer - longest side is 5 inches other two sides will each be 4 inches
A developer buys an empty lot to build a small house. What is the area of the lot? - answer - 193 yd
A cylinder has a height of 4 meters and a radius of 1.5 meters. What is the approximate radius of a sphere that has the same surface area as the cylinder? - answer - 2.0 m
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller GEEKA. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $10.99. You're not tied to anything after your purchase.
