Solving Equations
Solve the following equation:
15 + b =23
b = 8
How many degrees does a triangle equal?
180 degrees
What is trigonometry?
The study of triangle measurement
How many degrees does a circle equal to?
360 degrees
What is the formula for the area of a parallelogram?
A = bh
Solve the following equation:
9x - 7 = -7
x = 0
What 2 key features make a triangle equilateral?
- All sides are congruent
-All angles equal 60 degrees
What is the acronym used to remember the trigonometric functions?
SOH - CAH - TOA
If the measure of angle JNK is 45 degrees, then what is the measure of arc JK?
Arc JK = 45 degrees
Volumes unit of measure is to the power or what?
3
Solve the following equation:
-2 = 2 + v/4
v = -16
A right triangle has a side length of 12 and a hypotenuse of 37. What is the value of the missing side?
Missing side = 35
a right triangle has the following features:
-Opposite = 15
-Hypotenuse = 24
-Angle = x
What is the measure of the angle?
x = 38.7 degrees
If a semicircle has an arc measurement of 31 degrees and an arc measurement of 9x + 23. What is the value of x?
x = 14
A parallelogram with the area of 211.4 m2 has a base that measures 24.3 m. Find its height.
H = 8.7 m
Solve the following equation:
144 = -12(x + 5)
x = -17
A triangle has three interior angles
1.) 9x + 3
2.) 5x - 2
3.) 11x - 21
What is the value of x?
x = 8
A ladder leaning against a wall makes an angle of 75 degrees with the ground. If the foot of the ladder is 6 feet from the base of the wall, what is the length of the ladder?
(round to the nearest tenths)
Ladder is 23.2 feet long
If a circle has a center (2, 8) and a diameter (34). What is the equation of the circle?
(x + 9)2 + (y + 7)2 = 289
A trapezoid with an area of 166.75 in2 has bases that measure 21 in and 8 in. Find the height of the trapezoid.
H = 11.5 in
Solve the following equations:
5n + 34 = -2(1 - 7n)
n = 4
A triangle has two interior angles, one is (7x - 32) and the other (5x - 27). It also has an exterior angle of (9x-8). What is the value of x?
x = 17
Jaden is flying a kite and lets off 275 feet of the string. If the kite is 150 feet above the ground and assuming the string is straight, what angle does the string make with the ground?
(round to the nearest tenths)
X = 33.1 degrees
If a circle has a center of (5, -7) and a Point on the Circle (-3, -1) then what is the equation of the circle?
(x - 5)2 + (y + 7)2 = 100
A cereal box has a height of 14 in, a width of 4.5 in and a length of 10 in. What is its volume?
v = 630 in3