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2 years ago

Is 2.4 bigger than 2 1/3 ?

Mathematics

2 answers:

Fynjy0 [20]2 years ago

4 0

8.8 this letter forty years

user100 [1]2 years ago

3 0

Answer:

yes

Step-by-step explanation:

u can change 2 1/3 to decimal and u will get 2.33.

therefire, 2.4 is bigger than 2 1/3

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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:

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

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

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

A random sample of 240 park users were asked if they go to the park more often on weekdays or on the weekend. The results are sh

docker41 [41]

Answer:

False

True

False

Step-by-step explanation:

Weekdays Weekend

Male 50 10

Female 150 30

The males go to the park more often on the weekend.

This is false Males go more on the weekdays 50 vs 10

The females go to the park more often on weekdays.

True Females go on the weekdays 150 to 30

For the participants in the survey, gender affects which days of the week a person goes to the park.

False, they both go to the park more on the weekdays

Males 50 to 10 on the weekdays which simplifies to 5 to 1

Females 150 to 30 which simplifies to 150/30 to 30/30 or 5 to 1

It is equal

8 0

3 years ago

Question 4 of 10

GREYUIT [131]

Answer:

ball 132

Step-by-step explanation:

5 0

2 years ago

The University of Montana ski team has nine entrants in a men's downhill ski event. The coach would like the first, second, and

blondinia [14]

Answer:

504 ways

Step-by-step explanation:

The first position can go in 9 ways

The second position can go to the team in 8 ways

The third position can go to the team in 7 ways

Therefore, the first,second and third position can go to the team in:

9 X 8 X 7=504 ways

or Simply, we can use <u>Permutation</u>.

$^9P_3=504$ ways

3 0

3 years ago

Leona spent $35.98 at the mall. She bought a T-shirt and a book. The book cost $18.25. How much did the T-shirt cost?

aleksklad [387]

The shirt costs $17.73

3 0

3 years ago