Math 10C Midterm

Radicals/Powers

100

What is the little number called on the radical sign?

What is 'Index'

200

Can you make (∛x)² into a exponent 

x^2/3

300

Can you make 4√ 5 into an entire radical?

√80

400

Can you simplify (-4p³q²)³

-64p⁴q⁶

Measurements

100

What Imperial Unit should you use to measure the Henday (Highway)

What is 'Mile'

200

Can you convert 1.7in to mm?

43.2mm

300

What is the Formula for the Surface Area of a Hemisphere?

SA = [(4(pi)r²)/2]+(pi)r²

or

2(pi)r² + (pi)r²

400

What is the surface area of a regular tetrahedron with a slant height of 19cm and side length of 22cm?

SA = 4(bh/2) = 2bh

2(22)(19) = 836cm

Trigonometry

100

Can you tell me all the Trig Ratios?

sin ϴ = o/h

cos ϴ = a/h

tan ϴ = o/a

200

What is the angle 'ϴ' if sin ϴ = 0.5491? To the nearest degree

∠ϴ = sin^-1(0.5491)

∠ϴ = 33°

300

Find the missing side:

Angle = 43°, adjacent = 9.2 cm, opposite = ?

To the nearest hundredth

TOA = tan ϴ = o/a

tan(43°) = o/9.2

tan(43°) * 9.2 = 8.58

400

If there is a Ladder that is leaning on a wall, and the ladder and the ground make an angle of 45°, and the base of the ladder is 5.4m away from the wall, how long is the ladder?

Base of ladder from wall = 5.4m = adj

ladder = h

cos ϴ = a/h

cos 45° = 5.4

Factoring

100

What is a Binomial?

What is 'when you have two terms'