All categories

3 years ago

Divide.

Mathematics

1 answer:

zzz [600]3 years ago

7 0

The answer is B. 5/6

You might be interested in

Prove that sinxtanx=1/cosx - cosx

maks197457 [2]

Answer:

See below

Step-by-step explanation:

We want to prove that

$\sin(x)\tan(x) = \dfrac{1}{\cos(x)} - \cos(x), \forall x \in\mathbb{R}$

Taking the RHS, note

$\dfrac{1}{\cos(x)} - \cos(x) = \dfrac{1}{\cos(x)} - \dfrac{\cos(x) \cos(x)}{\cos(x)} = \dfrac{1-\cos^2(x)}{\cos(x)}$

Remember that

$\sin^2(x) + \cos^2(x) =1 \implies 1- \cos^2(x) =\sin^2(x)$

Therefore,

$\dfrac{1-\cos^2(x)}{\cos(x)} = \dfrac{\sin^2(x)}{\cos(x)} = \dfrac{\sin(x)\sin(x)}{\cos(x)}$

Once

$\dfrac{\sin(x)}{\cos(x)} = \tan(x)$

Then,

$\dfrac{\sin(x)\sin(x)}{\cos(x)} = \sin(x)\tan(x)$

Hence, it is proved

5 0

3 years ago

A function, f(x), represents the height of a planet x months after being planted. Students measure and record the height on a mo

GarryVolchara [31]

C- the set of all positive integers

5 0

3 years ago

Read 2 more answers

Please help me out with this so I can keep my kitten.

notka56 [123]

Answer:

$y = \frac{32}{3}$

Step-by-step explanation:

Firstly, move over the negative 3/4 fraction (don't forget to swap the operation i.e subtract to add):

$\frac{y}{8} = \frac{7}{12} + \frac{3}{4}$

Now, to add the two fractions, simply multiply the numerator and denominator by 3:

$\frac{3*3}{4*3} = \frac{9}{12}$

Now add this to the other fraction:

$\frac{9}{12} + \frac{7}{12} = \frac{16}{12}$

This can be simplified down by dividing both the numerator and denominator by 4:

$\frac{4}{3}$

Which now simplifies the original equation to:

$\frac{y}{8} = \frac{4}{3}$

Remove the y out of the fraction:

$\frac{1}{8}y = \frac{4}{3}$

Now multiply both sides by 8:

$(\frac{1}{8}y) * 8 = (\frac{4}{3}) * 8$

$y = \frac{4*8}{3}$

$y = \frac{32}{3}$

Hope this helps!

5 0

3 years ago

Read 2 more answers

Consider the original rectangle and it’s reduction

Bingel [31]

If it’s red rectangle to blue then it’s 1/2
If it’s blue rectangle to red then it’s 2

6 0

3 years ago

The lengths of the sides of a triangle are x,x+1 and 7 centimeters and the perimeter of the triangle is 56 centimeters. The equa

____ [38]

Answer:

the longest side is 25

Step-by-step explanation:

the equation would be x+ x+1 + 7 for the 3 sides of the triangle

x + (x+1) + 7=56

combine like terms

2x+8 = 56

subtract 8 from each side

2x = 48

divide by 2

x = 24

the sides are

x=24

x+1 = 25

the longest side is 25

7 0

3 years ago