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Harlamova29_29 [7]
4 years ago
12

How do you do these questions?

Mathematics
1 answer:
Sophie [7]4 years ago
3 0

Answer:

f(x) = 2π (11 + sin x) √(1 + cos²x)

Step-by-step explanation:

Surface area of a curve rotated about y = a is:

S = ∫ 2π (y − a) ds,

where ds = √(1 + (dy/dx)²) dx.

y = 6 + sin x, and a = -5.  dy/dx = cos x.  Plugging in:

S = ∫₀²ᵖⁱ 2π (6 + sin x − -5) √(1 + cos²x) dx

S = ∫₀²ᵖⁱ 2π (11 + sin x) √(1 + cos²x) dx

Therefore, f(x) = 2π (11 + sin x) √(1 + cos²x).

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In the image, shape ABCD is similar to shape WXYZ. Find the measure of side ZW.
vladimir2022 [97]

Solution:

we are given that

In the image, shape ABCD is similar to shape WXYZ.

we have been asked to find the measure of side ZW.

As we know that when two shapes are similar then the ratios of their corresponding sides are equal.

So we can write

\frac{zw}{6}= \frac{18}{24}\\
\\
ZW=6*\frac{18}{24}\\
\\
ZW=\frac{18}{4}\\
\\
ZW=4.5\\

Hence ZW=4.5 Inches.

6 0
3 years ago
How is subtracting a
Aleks [24]
Because when you subtract a negative number the signs cancel out and become and addition problems
4 0
3 years ago
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A simple impact crater on the moon has a diameter of 15 kilometers. a complex impact crater has a radius of 30 kilometers. how m
timurjin [86]
The general equation for computing the circumference of a circle is C=\pi d, where C is the circumference, and d is the diameter. (You might also see the equation as C=2 \pi r where r is the radius, because d=2r)

Computing the circumferences of the two circles, we get:
C_{d=15}=\pi (15)=15\pi
C_{d=30}=\pi (30)=30\pi.

To calculate the ratio of two numbers, we can divide one by the other. You can look at this as "How many times does the denominator fit in the numerator?"
\frac{C_{d=30}}{C_{d=15}}=\frac{30\pi}{15\pi}=2
So the circumference of the complex impact crater is 2 times greater than the circumference of the simple impact crater.
7 0
3 years ago
Koran is spending $12 on games and rides at another carnival, where a game costs $0.25 and a ride costs $1.
Vlad [161]

Answer:

0.25x+y=12

Step-by-step explanation:

Let

y ----> the number of rides

x ---> the number of games

we know that

The number of rides multiplied by  $1 plus the number of games multiplied by $0.25 must be equal to $12 (the dollar amount Koran is spending)

so

The equation that represent this situation is

0.25x+y=12

5 0
3 years ago
Plz help i'm having troubled understanding how to do this
Lunna [17]

Answer:

1/2 - 2/6 = 1/6

Step-by-step explanation:

to answer two that are different simply take the lesser up or higher down example: 1/2-2/4 this would be zero because 2 x 1/2 = 2/4

8 0
3 years ago
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