Trigonometry
Area and Volume
Circles
Lines and Graphing
Probability
100
Mai is visiting Paris to see the Eiffel Tower. She is 80 feet away when she spots it. To see the top, she has to look up at an angle of 85.7 degrees. How tall is the Eiffel Tower? Round to the nearest hundredth.
1063.97 ft
100
A right pyramid has a square base with sides of length 10 units. Each segment connecting the apex to the midpoint of a side of the base has length 13 units. What is the volume of the pyramid?
Height: ________
Volume: __________
Height: 12
Volume: 400
100
If the equation of a circle is (x+3)^2+(y-2)^2=25 what is the center of the circle?
(-3,2)
100
Write the equation of the line in any form with a slope of 5 and (2, 6) is on the line.
Point Slope: y-6=5(x-2)
Slope-Intercept: y=5x-4
100
What is the probability of the spinner landing on the section labeled G?
1/4
200
The Gateway Arch in St Louis, Missouri is 630 feet tall. Priya can look up at a 50 degree angle to see the top of the arch. How far away from the base of the arch is she standing? Round to the nearest hundredth, if needed.
528.63 ft
200
Select all solids with a volume of 40 cubic units.
Solids A, C, D, and E
200
The arc from A to B not passing through C measures 50 degrees. Find the following:
m < BCA =
m < BOA =
m < BCA = 25
m < BOA = 50
200
Draw the image of triangle ABC under the transformation (x,y) -> (-x,y) .
200
Select ALL of the words for which the probability of selecting the letter E at random is 1/3 .
A. THE
B. BEST
C. SNEEZE
D. TREES
E. SPEECH
A and E
300
Select ALL of the true statements.
A. 4^2+9^2=97
B. tanβ= 9/4
C. tanβ= 4/9
D. sinθ=9/4
E. sinθ=4/sqrt97
F. cosβ=4/sqrt97
A, B, E, and F
300
Find the area of the figure. Round to the hundredth if needed.
155 yd2
300
The measure of angle AOB is 56 degrees. What is the measure of angle ACB?
28
300
Which of the following is the equation of a line that contains the point (1,-3) and is perpendicular to the line 3x-6y=4 ?
a. y+2x+5=0
b. y+2x+1=0
c. 2y+x+5=0
d. 2y-x-7=0
e. y-2x+5=0
B
300
Two events, A and B, are independent.
P(A) = 0.3
P(A and B) = 0.24
What is P(B)?
P(B) = 0.8
400
What is the area of triangle ABC?
36sqrt3
400
It takes 1/8 of a roll of wrapping paper to completely cover all 6 sides of a small box that is shaped like a rectangular prism. The box has a volume of 10 cubic inches. Suppose the dimensions are quadrupled.
a. How many rolls of wrapping paper will it take to cover all 6 sides of the new box?
b. What is the volume of the new box?
a. 2
b. 640
400
A circle has a radius of 10 cm. Suppose an arc on the circle has length 8pi cm. What is the measure (in degrees) of the central angle whose radii define the arc?
144
400
Line l is perpendicular to a line m with equation -4x+12y=-20 . Line l intersects line m at (-10,-5). The equation of line l , in slope-intercept form, is?
y=-3x-35
400
A total of 200 people attend a party, as shown in the table. A person is selected at random to win a prize. The probability of selecting a female is 0.6.The probability of selecting a child. given the person is female, is 0.25.The probability of selecting a male, given that the person is a child, is 0.4.Complete the two-way table to show the number of adults, children, males, and females who attended the party.
Male Adults: 60
Female Adults: 90
Male Children: 20
Female Children: 30
500
ABCD is a rectangle. Find the length of AC and the measures of α and θ.
AC = 12.37
α = 75.96
θ = 14.04
500
Find the volume of each solid. Write your answer in terms of pi if needed.
a. A cylinder with radius 4 inches and height 3 inches.
b. A cylinder with radius 3 inches and height 4 inches.
c. A hexagonal prism whose base has area 30.5 square centimeters and whose height is 6.5 centimeters.
d. A prism 5 feet tall whose base is a right triangle with leg lengths 6 feet and 7 feet.
a. 48pi
b. 36pi
c. 198.25
d.105
500
Find the center and the radius of the circle represented by the equation x^2+y^2-8y+5=0 . Round to the nearest TENTH.
Center: (0,4)
Radius: 3.3
500
The image shows quadrilateral ABCD. Make sure to complete Part A, Part B, and Part C below.
Part A: Use the distance formula to prove ABCD is a square. Round to the nearest hundredth if needed.
Side Length = _________
Diagonal = __________
Part B: Find the perimeter of figure ABCD:
Part C: Find the area of figure ABCD:
Side Length = 5
Diagonal = 7.07
Part B: Find the perimeter of figure ABCD: 20
Part C: Find the area of figure ABCD: 25
500
A district is interested in attendance for students in the middle and high school. The results are summarized in the table. Round to the hundredths place.
a. If a high school student's name is selected at random, what is the probability that they were absent on that day?
b. If a student who was present that day is selected at random, what is the probability that they are in middle school/?
a. 0.17
b. 0.45