math b

math b Q&a
Which equation is equivalent to logx(36)=2? - (CORRECT ANSWER)x2=36

What is the value of mc005-1.jpg? - (CORRECT ANSWER)-2

What is the value of log 43? Use the calculator. Round your answer to the nearest
tenth. - (CORRECT ANSWER)1.6

Which logarithmic equation is equivalent to 32 = 9? - (CORRECT
ANSWER)2=log2(9)

The intensity, or loudness, of a sound can be measured in decibels (dB), according
to the equation mc026-1.jpg, where I is the intensity of a given sound and I0 is the
threshold of hearing intensity. What is the intensity, in decibels, [I(dB)], when mc026-
2.jpg? Use a calculator. Round to the nearest whole number. - (CORRECT
ANSWER)320

What is the value of mc003-1.jpg? - (CORRECT ANSWER)2

A Cepheid star is a type of variable star, which means its brightness is not constant.
The relationship between the brightness of a Cepheid star and its period, or length of
its pulse, is given by M = -2.78(log P) - 1.35, where M is the absolute magnitude, or
brightness, of the star, and P is the number of days required for the star to complete
one cycle. What is the absolute magnitude of a star that has a period of 45 days?
Use a calculator. Round your answer to the nearest hundredth. - (CORRECT
ANSWER)-5.95

Which expression can be used to approximate the expression below, for all positive
numbers a, b, and x, where a mc001-1.jpg 1 and b mc001-2.jpg 1?
loga(x) - (CORRECT ANSWER)logb(x)/logb(a)

Kim solved the equation below by graphing a system of equations.

mc020-1.jpg

What is the approximate solution to the equation? - (CORRECT ANSWER)1.4

An angle whose measure is -302° is in standard position. In which quadrant does the
terminal side of the angle fall? - (CORRECT ANSWER)Quadrant I

An angle whose measure is 40° is in standard position. In which quadrant does the
terminal side of the angle fall? - (CORRECT ANSWER)Quadrant I

Which of the following represents the measures of all angles coterminal with a 418°
angle? - (CORRECT ANSWER)58 + 360n, for any integer n

Angle D has a measure between 0 and 360 and is coterminal with a -920° angle.
What is the measure of angle D? - (CORRECT ANSWER)160°

, An angle whose measure is 92° is in standard position. In which quadrant does the
terminal side of the angle fall? - (CORRECT ANSWER)Quadrant II

Which expression converts pi/4 radians to degrees? - (CORRECT
ANSWER)pi/4*180/pi

Which of the following are in the correct order from least to greatest? - (CORRECT
ANSWER)38,pi/4,80, 7pi/6, 2pi

What is the approximate length of arc s on the circle below? Use 3.14 for mc024-
1.jpg. Round your answer to the nearest tenth.

mc024-2.jpg - (CORRECT ANSWER)6.3 in

What is 270° converted to radians? - (CORRECT ANSWER)3pi/2

What is 5pi/6 radians converted to degrees? If necessary, round your answer to the
nearest degree. - (CORRECT ANSWER)150°

A circle has a central angle of 6 radians that intersects an arc of length 14 in. Which
equation finds the length of the radius, r, of the circle? - (CORRECT
ANSWER)r=14/6

What is 3pi/4 radians converted to degrees? If necessary, round your answer to the
nearest degree. - (CORRECT ANSWER)135°

Which equation gives the length of an arc, s, intersected by a central angle of 3
radians in a circle with a radius of 4 in.? - (CORRECT ANSWER)s=4*3

In the triangle below, angle B measures 60° and BC is 18. What is the length of AC?
- (CORRECT ANSWER)9 sq root 3

n the triangle below, which is equivalent to sinA? - (CORRECT ANSWER)cosC

What is the approximate degree measure of angle A in the triangle below?

mc007-1.jpg - (CORRECT ANSWER)37.9

In a right triangle, cosa=0.352 and sina=0.936. What is the approximate value of
tana? - (CORRECT ANSWER)2.659

In a right triangle, angle A measures 20°. The side opposite angle A is 10
centimeters long. Approximately how long is the hypotenuse of the triangle? -
(CORRECT ANSWER)29.2 centimeters

Each side of the regular hexagon below measures 8 cm. What is the area of the
hexagon? - (CORRECT ANSWER)96 sq root 3 square centimeters