The type of transformation that flips a shape over a line is called a ....
reflection
What is this?
Pythagorean Theorem
What is surface area?
The sum of the areas of all the faces
Write the graphing formula for a circle.
(x-h)^2+(y-k)^2=r^2
How many degrees are in any 7-sided polygon?
180(7-2)=900
True or False: have two angles congruent is enough to show two triangles are similar?
True
Name the three trig functions.
Sine, Cosine, Tangent
How do you find volume of a prism?
Bh, area of the base times the height
Find the length of arc PQ
60/360 = x/18pi
x=3pi or 9.42
There are 9 kinds of ice cream, and you are going to get two different scoops. How many combinations are there, if you don't care the order?
9*8=72
How are angles D and F related?
corresponding
Fill in missing lengths of the triangle. Leave answers as simplified radicals.
y is 14 root 3
x is 28
Find the volume of a sphere with a radius of 6.
904.77 or 288pi
Find the area of the large sector.
300/360 = a/81pi
a=67.5pi or 212.06
Write an explicit equation for the sequence -5, -2, 1, 4, 7, ...
t(n)=3n-8
Solve for x
x=12
Use a trig function to find side KI. Round to the nearest hundredth.
6sin56=4.97
Find the surface area.
2(0.5*3*4)+(3+4+5)(8)
12+12*8
108 square cm
Write the equation for a square centered at (-6,-8) with a radius of 5.
(x+6)^2+(y+8)^2=25
Find the area of a regular hexagon with a side length of 12 cm.
split into 6 triangles
area of each is 0.5*12*6root3 = 62.35
6 of those = 374.12
Are the triangles similar? Explain.
No, their scale factors do not match
From his boat, a sailor sees the top of a 108 foot lighthouse, looking up at an angle of 27 degrees. How far away is the boat from the base of the lighthouse? Round to the nearest hundredth.
108/tan27=211.96
The rectangular prism has a surface area of 184 square cm. Find the height.
2*4h+2*32+2*8h=184
8h+64+16h=184
24h=120
h=5
Complete the square to convert the equation into graphing form:
x^2+y^2 -4x-6y+8=0
(x-2)^2+(y-3)^2=5
Based on the table, is P(no hypertension) independent of P(no hypertension given nonsmoker)?
P(no hyp given nonsmoke)=50/74=67%
no, they are not independent.