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3 years ago

Can there be more than one mean or mode in a math problem??

1 answer:

5 0

Math. When no number occurs more than once in a data set, there is no mode. If each of two numbers occurs twice, we say the set is bimodal.

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Simplify the expression cos x cot x+ sin x please select the best answer from the choices provided a.0, b.csc x, c. Tan x, d sec

expeople1 [14]

Answer:

$cot x = \frac{cos x}{sin x}$

$cos x \frac{cos x}{sin x} + sin x$

$\frac{cos^2 x}{sin x} +sin x$

$sin^2 x + cos^2 x =1$

Solving for $cos^2 x$ we got $cos^2 x =1 -sin^2 x$ and replacing this we got:

$\frac{1-sin^2 x}{sin x} +sin x$

$\frac{1}{sin x} -\frac{sin^2 x}{sin x} +sin x$

$csc x -sin x + sin x = csc x$

And then the best option for this case would be:

b.csc x

Step-by-step explanation:

For this case we have the following expression given:

$cos x cot x + sin x$

We know from math properties that the definition for cot is $cot x = \frac{cos x}{sin x}$

If we use this definition we got:

$cos x \frac{cos x}{sin x} + sin x$

$\frac{cos^2 x}{sin x} +sin x$

Now we can use the following identity:

$sin^2 x + cos^2 x =1$

Solving for $cos^2 x$ we got $cos^2 x =1 -sin^2 x$ and replacing this we got:

$\frac{1-sin^2 x}{sin x} +sin x$

$\frac{1}{sin x} -\frac{sin^2 x}{sin x} +sin x$

$csc x -sin x + sin x = csc x$

And then the best option for this case would be:

b.csc x

4 0

3 years ago

When the stranger came into the forest, 37 percent of the people ran to hide. If 2520 refused to hide, how many people lived in

STALIN [3.7K]

Is 37% Ran to hide then 63% refuse to hide

63/2520= 37/X
63x= 93240
Divide by 63
X= 1480 Ran to hide
2520+1480=4,000 total --------------
4,000 people lived in the forest

7 0

3 years ago

If mollie can travel 250 miles in 90 minutes how far can she travel in 6 hours?

lozanna [386]

She can travel 3000 miles

7 0

3 years ago

3c - b = 2a solve for c

alekssr [168]

Answer:

$c = \frac{2a + b}{3}$

Step-by-step explanation:

$3c - b = 2a \\ 3c = 2a + b \\ \frac{3c}{3} = \frac{2a + b}{3} \\ c = \frac{2a + b}{3}$

hope this helps you

let me know if you have another questions:-)

5 0

2 years ago

Read 2 more answers

PLEASE HELP

qaws [65]

NUMBER ONE IS THE RIGHT ANGLE AND THE SECIND INE IS SUPPLEMENTARY

8 0

2 years ago