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3 years ago

There are 12 students in the gym class. If 4 students can sit on 1 bench, how

Mathematics

2 answers:

Trava [24]3 years ago

8 0

You must do 12 divided by 4

grigory [225]3 years ago

5 0

Answer:

3 benches

Step-by-step explanation:

12/3=4

12 students / 3 benches = 4 the amount students that can sit on one bench

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Pls help!!! I will give first good answer brainliest!!

Nikitich [7]

5: length is 8

6. X is 34

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2 years ago

Read 2 more answers

Given that cot θ = 1/√5, what is the value of (sec²θ - cosec²θ)/(sec²θ + cosec²θ) ?

Bogdan [553]

Step-by-step explanation:

$\mathsf{Given :\;\dfrac{{sec}^2\theta - co{sec}^2\theta}{{sec}^2\theta + co{sec}^2\theta}}$

$\bigstar\;\;\textsf{We know that : \large\boxed{\mathsf{{sec}\theta = \dfrac{1}{cos\theta}}}}$

$\bigstar\;\;\textsf{We know that : \large\boxed{\mathsf{co{sec}\theta = \dfrac{1}{sin\theta}}}}$

$\mathsf{\implies \dfrac{\dfrac{1}{cos^2\theta} - \dfrac{1}{sin^2\theta}}{\dfrac{1}{cos^2\theta} + \dfrac{1}{sin^2\theta}}}$

$\mathsf{\implies \dfrac{\dfrac{sin^2\theta - cos^2\theta}{sin^2\theta.cos^2\theta}}{\dfrac{sin^2\theta + cos^2\theta}{sin^2\theta.cos^2\theta}}}$

$\mathsf{\implies \dfrac{sin^2\theta - cos^2\theta}{sin^2\theta + cos^2\theta}}$

Taking sin²θ common in both numerator & denominator, We get :

$\mathsf{\implies \dfrac{sin^2\theta\left(1 - \dfrac{cos^2\theta}{sin^2\theta}\right)}{sin^2\theta\left(1 + \dfrac{cos^2\theta}{sin^2\theta}\right)}}$

$\bigstar\;\;\textsf{We know that : \large\boxed{\mathsf{cot\theta = \dfrac{cos\theta}{sin\theta}}}}$

$\mathsf{\implies \dfrac{1 -cot^2\theta}{1 + cot^2\theta}}$

$\mathsf{Given :\;cot\theta = \dfrac{1}{\sqrt{5}}}$

$\mathsf{\implies \dfrac{1 - \left(\dfrac{1}{\sqrt{5}}\right)^2}{1 + \left(\dfrac{1}{\sqrt{5}}\right)^2}}$

$\mathsf{\implies \dfrac{1 - \dfrac{1}{5}}{1 + \dfrac{1}{5}}}$

$\mathsf{\implies \dfrac{\dfrac{5 - 1}{5}}{\dfrac{5 + 1}{5}}}$

$\mathsf{\implies \dfrac{5 - 1}{5 + 1}}$

$\mathsf{\implies \dfrac{4}{6}}$

$\mathsf{\implies \dfrac{2}{3}}$

Hence, option (a) 2/3 is your correct answer.

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2 years ago

What is the independent and dependent variable

Orlov [11]

S is independent variable and T is the dependent variable

3 0

3 years ago

Read 2 more answers

The sum of two consecutive integers is 145145. find the two integers.

Serhud [2]

1st integer: x
2nd integer: x+1

Add them up: 2x+1= 145145
2x= 145146
x=72,573

Answer;
1st integer: 72573
2nd integer; 72,574

Rate high and send a personal message if you want more help with math.

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2 years ago

Which function has the greater maximum value: f(x) = -2x2 + 4x+3, or g(x),

Zepler [3.9K]

Answer:

Step-by-step explanation:

f(x) maxmum value is

$\frac{ - 4}{ - 4} = 1$