Solve for x, all missing angles and classify the triangle by its sides and angles:
<1 = 45, <2 = 45, <3 = x
x = 90; 45-45-90; right, isosceles
100
Solve for the missing value in each right triangle:
a = 6, b = 8, c = ?
c = 10
100
Find the distance between the following points:
(9,10) and (1,-5)
d = 17
100
Cherry Hill Amusement Park wants to open up a cone-shaped ice cream shop. In this building, they want to place a poke in the center to keep the place standing. The slant length of the shop is 80 feet and the diameter is 70 feet. Find the height.
height = 71.9 ft
100
Find the circumference of a circle where r = 10 m
c = 62.8 m
200
Solve for x, all missing angles and classify the triangle by its sides and angles:
<1 = 2x, <2 = 3x, <3 = 5x
x = 18; 36-54-90; right, scalene
200
Solve for the missing value in each right triangle:
a = 27, b = ?, c = 365
b = 364
200
Find the distance between the following points:
(-34,-11) and (26,0)
d = 61
200
You work at the Twix factory and you man the caramel machine. The machine is in a conical shape, kind of like a chocolate one but with caramel. The C.E.O. of a local opposing chocolate factory W.W.’s or Werner Wamer’s wants to know the depth of the machine. All you know is its diameter which is 15 feet and the slant length of 18 feet. With this knowledge and the teachings of your boss/teacher, Mr. E., you’ll thoroughly impress Mr. Warner. Wait, hold on…what is the depth?
depth = 16.4ft
200
Find the area of a circle where r = 17 in
A = 907.9 in^2
300
Solve for x, all missing angles and classify the triangle by its sides and angles:
<1 = x - 18, <2 = 3x + 20, <3 = 4x - 2
x = 22.5; 4.5-87.5-88 ;acute, scalene
300
Solve for the missing value in each right triangle:
a = ?, b = 195, c = 197
a = 28
300
Find the distance between the following points:
(9,19) and (27,81)
d = 64.6
300
Mr. E, head of “Dunce Caps ‘R Us,” is holding yet another yearly cap fitting. One customer, Nick, had an abnormally large head and Mr. E could not find the correct diameter. If the slant length is 5 inches and the height is 4 inches, what should the diameter of the cap be?
diameter = 6 inches
300
Find the area of a circle where d = 52 ft
A = 2,123.7 ft^2
400
Solve for x, all missing angles and classify the triangle by its sides and angles:
<1 = 9x - 7, <2 = 10x + 23, <3 = 3x + 42
x = 5.545454..; 42.9090..-78.4545..-58.6363..; acute, scalene
400
Solve for the missing value in each right triangle:
a = 18, b = 415, c = ?
c = 415.4
400
Find the distance between the following points:
(-24,51) and (-32,-8)
d = 59.5
400
Harry and Ron are doing a project about narwhals. They bought a narwhal tusk online for their project. Their props height limit for this project cannot exceed 150 cm tall. The slant length is 146.3 cm with a diameter of 4cm at the base. What is the height and will their narwhal tusk exceed the prop height limit?
height = 146.3 cm; no it will not exceed the height limit
400
Find the area of a sector of a circle where r = 9.725 km and N = 112 degrees
A(sector) = 92.4 km^2
500
Solve for x, all missing angles and classify the triangle by its sides and angles:
<1 = (32/7)x, <2 = 90/7, <3 = (15/14)x + (15/14)
Solve for the missing value in each right triangle:
a = 97.375, b = ?, c = 293.5
b = 276.9
500
Find the distance between the following points:
(-11,-38) and (0,-11)
d = 29.2
500
A dormant cinder-cone volcano in Turkey is named Kula. While this volcano might have not erupted in 10,000 years, people still come to visit it. The tourists want to know more about the volcano, but only know the slant length which is 26.8 meters and the diameter which is 10.12 meters. With this information, find the actual height of Kula.
height = 26.3 meters
500
Find the area of a circle with a hole cut out it with the following dimensions: d(big) = 98 mm, d(small) = 24 mm