Week 1
solve for x:
4x-3=2x+5
x=4
find the distance:
a(2,4) b(6,9)
d=41
using A2+B2=C2, find out if QRS is a right triangle; A=40, B=38, C=13
QRS is not a right triangle.
find the area of a triangle with the height of 15 and a base of 10.
A= 75cm2
Consider a triangle where the interior angles equal 180. One corner=x, another=(2x+6), and the last=(2x-6). What is X?
x=36
define the pattern:
5,5,10,15,25,30,55,85
add the previous number
what is the midpoint of:
a. (2,1)
b. (8,5)
coordinate: (5,3)
using c2=a2+b2, find x if a=15, b=x, and c=20
x=175
The radius of a circle is 5. What is the circumference?
C= 31.4
A closed plane figure formed by 3 or more segments that all lie in one plane.
A polygon
generalization based on inductive reasoning
a conjecture
m<ABC = m<ABD+m<DBC
10x-7=6x+5+36
x=12
angle addition postulate
find the hypotenuse, if leg=5^2 using 45,45,90
hyp=10
Find the surface area of a rectangle with the length of 10, width of 5, and height of 6.
SA= 280 sq. units
find the measure of each exterior angle of a polygon with 18 sides.
e=20
solve:
5(5+x)=7x+6
x=9.5
Find b using y=mx+b, if m=5 and (x,y)=(3,7)
b=-8
A branch of mathematics dealing with the relations of the sides and angles of triangles and with relevant functions of any angles.
trigonometry
Find the surface area of a sphere with the radius of 8 using SA=4(3.14)r.
SA= 314cm2
find the number of sides(n) of a convex regular polygon with the exterior angle measure of 36.
n=10
a statement we learned:
If you jump off a bridge, then I'll jump off a bridge.
a converse statement
Solve: pre-image(x,y)-->(x+3,y-2)
A. (8,12)
B. (4,3)
C. (6,8)
A1. (11,10)
B1. (7,1)
C1. (9,6)
consider a right triangle with AB=10 and BC=20, find AC (hyp).
AC=20
Solve for the volume of a cylinder using Bh/2, if the height is 10 and the radius is 6. (B=(pi)r2)
v= 1130.4ft3
Solve for X.
sum of ext.=360
(x-20)+21+29+(x+14)+x+(x-10)=360
x=815