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Svet_ta [14]
3 years ago
8

How many times can 14 go into 8574?

Mathematics
1 answer:
bearhunter [10]3 years ago
8 0
612.4285714285714 is the answer
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A glass bottle holds 3.75 cups of water. About how many milliliters of water can the bottle hold?
sergeinik [125]
A cup equals 8 Fl. oz. 
3.75x8=30
ml=fl. ozx29.574
30x29.574=887.22
your answer wold be 887.2 ml
7 0
3 years ago
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Please help asap, I suck at math :(
White raven [17]
1. 1.25
2. 4.5 mph hope helped yes
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How to estimate 740,758
docker41 [41]
Estimate it to 741,000
5 0
3 years ago
Verify the identity. cotangent of x divided by quantity one plus cosecant of x equals quantity cosecant of x minus one divided b
Elenna [48]

Answer:

\frac{\cot x}{1+\csc x}=\frac{\csc x-1}{\cot x}

Step-by-step explanation:

We want to verify the identity:

\frac{\cot x}{1+\csc x}=\frac{\csc x-1}{\cot x}

Let us take the LHS and simplify to get the LHS.

Express everything in terms of the cosine and sine function.

\frac{\cot x}{1+\csc x}=\frac{\frac{\cos x}{\sin x} }{1+\frac{1}{\sin x} }

Collect LCM

\frac{\cot x}{1+\csc x}=\frac{\frac{\cos x}{\sin x} }{\frac{\sin x+1}{\sin x} }

We simplify the RHS to get:

\frac{\cot x}{1+\csc x}=\frac{\cos x}{\sin x+1}

We rationalize to get:

\frac{\cot x}{1+\csc x}=\frac{\cos x(\sin x-1)}{(\sin x+1)*(\sin x-1)}

We expand to get:

\frac{\cot x}{1+\csc x}=\frac{\cos x(\sin x-1)}{\sin^2 x-1}

Factor negative one in the denominator:

\frac{\cot x}{1+\csc x}=\frac{\cos x(\sin x-1)}{-(1-\sin^2 x)}

Apply the Pythagoras Property to get:

\frac{\cot x}{1+\csc x}=\frac{\cos x(\sin x-1)}{-\cos^2 x}

Simplify to get:

\frac{\cot x}{1+\csc x}=\frac{-(\sin x-1)}{\cos x}

Or

\frac{\cot x}{1+\csc x}=\frac{1-\sin x}{\cos x}

Divide both the numerator and denominator by sin x

\frac{\cot x}{1+\csc x}=\frac{\frac{1}{\sin x}-\frac{\sin x}{\sin x}}{\frac{\cos x}{\sin x}}

This finally gives:

\frac{\cot x}{1+\csc x}=\frac{\csc x-1}{\cot x}

8 0
3 years ago
Least common multiple of 9(x+2)(2x-1) and 3x+2
mixas84 [53]

Answer:

LCM(9, -1, -1, +2, +2, +2) = 2×3^2 = 18

Step-by-step explanation:

9 = 32

-1 = -1

-1 = -1

+2 = 2

+2 = 2

+2 = 2

LCM = 2×3^2 = 18

18 / 9 = 2

18 / -1 = -18

18 / -1 = -18

18 / +2 = 9

18 / +2 = 9

18 / +2 = 9

3 0
3 years ago
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