What is a comparison of two quantities by division?
A ratio.
100
What is pythagorean theorem?
a^2+b^2=c^2
100
How to find the area of a rectangle or parallelogram?
A=bh
100
Formula of the lateral area of a prism
L.A.=ph
100
What is theorem 12-2?
If a line in the plane of a circle is perpendicular to a radius at its endpoint on the circle, then the line is tangent to the circle.
200
Find the geometric mean of 9 and 16
12
200
How to find the hypotnuse for a 45-45-90 triangle?
Hypotnuse=√2*leg
200
What is an apothem?
The perpendicular distance from the center to a side.
200
A triangular prism has base edges 4 cm, 5cm, and 6 cm long. Its lateral area is 300 cm^2. What is the height of the prsim?
20 cm
200
A plane intersects a sphere that has radius 10 in., forming the cross section ⊙B with 8in. How far is the plane fron the center of the sphere?
6 inches
300
If a line is a parallel to one side of triangle and intersects the other two sides, then it divides those side proportionally.
What is the side-splitter theorem?
300
How to find longer leg for 30-60-90 triangle?
longer leg=√3* shorter leg
300
(Find the area of each polygon) What is the area of a regular decagon with a radius of 8 ft and a perimeter of 50 ft?
Area of regular decagon = 25*apothem=25*7.6= 190 square ft
300
Volume of a prism?
V=Bh
300
A parallelogram inscribed in a circle must be what kind of parallelogram?
Rectangle
400
What is the value of x? 12/15=9/X
x=11.25
400
What is Law of Sines?
sin A/A =sin B/B = sin C/C
400
What is a segment of a circle?
The part bounded by an arc and the segment joing its endpoints.
400
Earth's equator is about 24,902 mi long. what is the approximate surface area of Earth?
197,387,000 mi^2
400
What kind of trapezoid can be inscribed in a circle?
Isosceles trapezoid
500
A photographic negative is 3 cm by 2 cm. A similar print from the negative is 9 cm long on its shorter side. What is the length of the longer side.
X/3=9/2 2X=27 X=13.5
500
A 5-foot-tall woman stands 15 ft from a statue. She must look up at an angle of 60 degrees to see the top of the statue. How tall is the statue?
= 5 + 25.98 = 30.98 feet
500
A circle has radius of 5 cm. What is the length of an arc measuring 80 degrees?
20/9 π
500
A set of points in space equidistant from a given point is called a ____?
Sphere
500
Can a rhombus that is not a square be inscribed in a circle? Explain.
No, quadrilateral's opposite angles must add up to 180 in order to be inscribed in a circle, but a rhombuses opposite angles are equal and do not add up to 180.