What are the patterns for a 45-45-90 triangle and a 30-60-90 triangle?
45-45-90= hypotenuse= square root of 2 * leg
30-60-90= hypotenuse= 2* shorter leg, longer leg= shorter leg* square root of 3
100
What is the formula for Pythagorean Theorem?
A^2+B^2=C^2
100
What is the formula used to find the area of a rectangle?
A=Base*Height
100
How do you found the volume of a prism?
v= bh
100
What is the tangent ratio?
Opposite/adjacent.
200
Find the hypotenuse and leg of a 45-45-90 triangle when one of the legs is 8.
The leg = 8
hypotenuse = 8*square root of 2
200
What is the formula for finding the circumference of a circle? The area?
C= Pi*Diameter, C= 2*Pi*Radius
A= Pi*Radius^2
200
Find the area of a parallelogram with a height of 12 cm, length of 20 cm, and a side length of 15cm.
A= 240 squared centimeters
200
Find the volume of a cube with side lengths of 6.
216^3 ft.
200
What is the sine ratio? What is the cosine ratio? What do you use them for?
Sine is opposite/ hypotenuse. Cosine is adjacent/hypotenuse. It is used to find the side of a missing side in a triangle, using the given sides and/ or angles.
300
Find the leg of a 45-45-90 triangle when the hypotenuse is 8.
4*square root of 2
300
What is the formula for finding surface area of a regular pyramid?
SA= Lateral Area * Base
300
Find the area of a parallelogram with the given vertices:
E (-4,0), F (-1,0), G (1,-3), H (-2,-3)
A= 9 squared units
300
Find the volume in terms of Pi and to the nearest tenth of a cylinder with a radius of 6 in and a height of 8 in.
228*Pi^3 in.
300
Find x in Triangle ABC: mA= 90, mC= 41, AC=x, BC=11. Round your answer to the nearest tenth.
X is 8.3
400
Find the value of each variable in a right triangle ABC. mA= 60, side AB= 12, side BC= y, side CA= x, mB= 90
x= 24, y=12
400
What is the formula to find area of a trapezoid?
A= 1/2*H(B1+B2)
400
Find the area of an equilateral triangle with sides of 10 cm. Round your answer to the nearest tenth.
A= 43.3 ^2 centimeters
400
Find the volume of a sphere with a radius of 8 cm. Leave in terms of Pi.
2048/3*Pi^3 cm.
400
Find the perimeter and area of a square with a radius of 8in. Round your answer to the nearest tenth
Perimeter= 45.3 in.
Area= 128^2 in.
500
The four blades of a helicopter meet at right angles and are the same length. The distance between the tips of two adjacent blades is 36 ft. how long is each blade? Round to the nearest tenth.
about 25.5 ft
500
What is the formula for finding lateral area in a cone?
LA= 1/2*2*Pi*Radius*l
LA= Pi*Radius*l
500
The border of Tennessee resembles a trapezoid with bases 342 mi and 438 mi and height 111 mi. Approximate the area of Tennessee by finding the area of the trapezoid. Round your answer to the nearest whole number.
A= about 43,290^2 miles
500
Find the volume of a sphere with the given surface area: SA=4*Pi squared meters. Leave in terms of Pi.
4/3*Pi^3 m.
500
Two office buildings are 51m apart. The height of the taller building is 207m. The angle of depression from the top of the taller building to the top of the shorter building is 150. Find the height of the shorter building to the nearest meter.
Round your answer to the nearest whole number.
The height of the shorter building is = about 194 meters.