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2 years ago

5

Why is it important to know how to use area or volume in real life?

2 answers:

Wittaler [7]2 years ago

6 0

The concepts of area and volume all talk about how much space a 2D or 3D figure occupies. In real life, there are certain jobs that include measuring and geometry, which you will be able to accomplish by your math skills. For example, engineering involves analyzing and modeling certain objects. Even if work is not included, the daily activities we do, sometimes include area and volume. Such as finding a gift box where your gift perfectly fits and measuring your daily water intake.

Have a nice day, i tried my best :DD

Jet001 [13]2 years ago

4 0

It’s important because you may doing something that includes that and you don’t have a ruler etc..

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Find the derivative of sinx/1+cosx, using quotient rule

Mrrafil [7]

Answer:

f'(x) = -1/(1 - Cos(x))

Step-by-step explanation:

The quotient rule for derivation is:

For f(x) = h(x)/k(x)

$f'(x) = \frac{h'(x)*k(x) - k'(x)*h(x)}{k^2(x)}$

In this case, the function is:

f(x) = Sin(x)/(1 + Cos(x))

Then we have:

h(x) = Sin(x)

h'(x) = Cos(x)

And for the denominator:

k(x) = 1 - Cos(x)

k'(x) = -( -Sin(x)) = Sin(x)

Replacing these in the rule, we get:

$f'(x) = \frac{Cos(x)*(1 - Cos(x)) - Sin(x)*Sin(x)}{(1 - Cos(x))^2}$

Now we can simplify that:

$f'(x) = \frac{Cos(x)*(1 - Cos(x)) - Sin(x)*Sin(x)}{(1 - Cos(x))^2} = \frac{Cos(x) - Cos^2(x) - Sin^2(x)}{(1 - Cos(x))^2}$

And we know that:

cos^2(x) + sin^2(x) = 1

then:

$f'(x) = \frac{Cos(x)- 1}{(1 - Cos(x))^2} = - \frac{(1 - Cos(x))}{(1 - Cos(x))^2} = \frac{-1}{1 - Cos(x)}$

4 0

2 years ago

Solve for n.<br> n + 1 = 4(n - 8)<br> n = 1<br> T<br> n = 8<br> n = 11<br> n = 16

Komok [63]

Answer:

n=11

Step-by-step explanation:

n+1=4(n-8)

11+1=4(11-8)

12=4(3)

12=12

3 0

2 years ago

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A theatre ticket costs £37 plus a booking fee of 4%.<br>What is the total price of the ticket?

Studentka2010 [4]

Answer:

£38.48

Step-by-step explanation:

First, we have to find what 4% of 37 is, so our equation is:

37 x 0.04 = 1.48

Then we have to add that 4% to the original cost:

1.48 + 37 = 38.48

So the total price of the theatre ticket is £38.48

6 0

2 years ago

Transform the following polar equation into an equation in rectangular coordinates: r=2 cos theta A. x + y = 2 B. y = 2x C. x =

Mila [183]

$r=2\cos\theta$
$r^2=2r\cos\theta$
$\implies x^2+y^2=2x$
$x^2-2x+y^2=0$
$x^2-2x+1+y^2=1$
$(x-1)^2+y^2=1$

8 0

3 years ago

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The perimeter of a square is 36<br>what is the area of the square?

zmey [24]

Answer: 81 units²

Step-by-step explanation: To solve this problem, remember that the formula for the area of a square is 4s.

Therefore, since the perimeter of the given square is 36, we have 36 = 4s and dividing both sides by 4, 9 = s.

Now, remember that the formula for the area of a square is s² and since the length of a side of the given square is 9, we have (9)² or 81.

So the area of a square that has a perimeter of 36 is 81 units².

6 0

2 years ago