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3 years ago

Simplify (tan(θ)+cot(θ))/(sec(θ)•csc(θ)) completely

1 answer:

6 0

$\dfrac{\tan\theta+\cot\theta}{\sec\theta\csc\theta}=\dfrac{\dfrac{\sin\theta}{\cos\theta}+\dfrac{\cos\theta}{\sin\theta}}{\dfrac1{\cos\theta}\dfrac1{\sin\theta}}=\dfrac{\sin^2\theta+\cos^2\theta}1=1$

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Find the slope using these two coordinate points: (0, 15) and (4, 3) Your answer

Nataly [62]

Answer:

slope = -3

Step-by-step explanation:

slope is: (delta y)/(delta x)

so slope = (15-3)/(0-4)

= -3

8 0

2 years ago

What is the volume? 9 cm 8cm 6 cm

vova2212 [387]

Answer:

432cm^3

Step-by-step explanation:

Volume=l×b×h

=9×8×6

432cm^3

6 0

3 years ago

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alex41 [277]

Answer:

7:36

Step-by-step explanation:

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3 years ago

Use Newton's method with initial approximation x1 = −2 to find x2, the second approximation to the root of the equation x3 + x +

nevsk [136]

Answer:

$x_2 \approx -1.769$

Step-by-step explanation:

Let $f(x)=x^3+x+7$

So $f'(x)=3x^2+1$

$x_{n+1}=x_n-\frac{f(x_n)}{f'(x_n)}$

Let $x_1=-2$

We are going to find $x_2$

So we are evaluating $-2-\frac{f(-2)}{f'(-2)}$

First step find f(-2)

Second step find f'(-2)

Third step plug in those values and apply PEMDAS!

$f(-2)=(-2)^3+(-2)+7=-8-2+7=-10+7=-3$

$f'(-2)=3(-2)^2+1=3(4)+1=12+1=13$

$x_2=-2-\frac{-3}{13} \\\\ x_2=\frac{-26+3}{13} \\\\ x_2=\frac{-23}{13} \\\\ x_2 \approx -1.769$

5 0

3 years ago

John received $300 for his birthday he buys 4 DVDs at $12.95 each. Sales tax is 6.5% how much birthday money does he have left

joja [24]

Answer: $244.83

Step-by-step explanation:

First find the original amount spent on dvds:

$12.95 * 4 = $51.80

Then, the sales tax (6.5% is converted to decimal form by dividing by 100):

$51.80 * 0.065 = $3.367

Add the sales tax to the original amount to get the total amount spent:

$51.80 + $3.367 = $55.167

Round to the nearest hundredth:

$55.167 -> $55.17

Subtract the total amount from the money received for his birthday:

$300 - $55.17 = $244.83

4 0

3 years ago