3 years ago

Which expression is equivalent to cos120°?

Mathematics

1 answer:

lesantik [10]3 years ago

4 0

The expression cos240 degrees is equivalent to cos120 degrees

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The average cost of tuition, room and board at small private liberal arts colleges is reported to be $8,500 per term with a stan

Svetlanka [38]

Answer:

z=3.8196

Step-by-step explanation:

-We notice that this is a normal distribution problem.

-Given the mean is $8500, standard deviation is $1200 , and n=350, the critical z-value using alpha=0.05 is calculated as:

$z=\frac{x-\mu_o}{\sigma/\sqrt{n}}\\\\=\frac{8745-8500}{1200\sqrt{350}}\\\\\\=3.8196$

Hence, the test statitic is z=3.8196

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3 years ago

Dina has a mass of 50 kilograms and is waiting at the top of a ski slope that’s 5.0 meters high. What is her potential energy

Bess [88]

Answer:

Step-by-step explanation:

Formula for potential energy is PE = m*g*h

where

m is the mass, in kg

g is the acceleration due to gravity, in meters per second squared, and

h is the height, in meters

The problem gives m = 50, g = 9.8, and h = 5. We plug that into the formula and get out answer. So:

$PE=mgh\\PE=(50)(9.8)(5)\\PE=2450$

Correct answer is C.

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3 years ago

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Julia asked to evaluate the expression four to the power of -3 before she can join her classmates outside. She decides to use th

vesna_86 [32]

Negative exponents work like this:

$a^{-b}=\dfrac{1}{a^b}$

So, you have

$4^{-3}=\dfrac{1}{4^3}=\dfrac{1}{64}$

This number is less than 1, so she will play tennis.

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3 years ago

Kim is reading a book with 380 pages. She read 20 pages each day until she reached Part 2 of the book. Part 2 of the book is 160

alexandr402 [8]

It took Kim 20 days to read the book

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2 years ago

7/16 times 2 PLEASE ANSWER SIMPLIFY AND ANSWER HAS TO BE A SIMPLIFIED FRACTION PLS PLS PLS MAKE IT A MIXED NUMBER

Rzqust [24]

Answer:

$\frac{14}{16}$ simplified to $\frac{7}{8\\}$

Step-by-step explanation:

$\frac{7}{16} times \frac{2}{1} you get \frac{14}{16} \\this \\simplifies \\to \frac{7}{8}$

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3 years ago