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3 years ago

Find the value of x. 6x+6 9x-9 32 24 x = [?]

Mathematics

1 answer:

Naddika [18.5K]3 years ago

6 0

Answer:

x=3

Step-by-step explanation:

$\frac{6x+6}{32} =\frac{9x-9}{24}$

Cross mutiply and x is equal to 3

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What is the value of x?

alina1380 [7]

Answer: 12

Explain: Hope this helps!

3 0

3 years ago

The base of a circular fence with radius 10 m is given by x = 10 cost, y = 10 sin t. the height of the fence at position (x, y)

antiseptic1488 [7]

The parametric equations for x and y describe a circle of radius 10 m, so the length of the base of the fence is the length of the circumference of a circle of radius 10 m. The formula for that circumference (C) is ...

... C = 2πr

... C = 2π·(10 m) = 20π m

The height as a function of angle (t) is found by substituting for x and y.

... h(t) = h(x(t), y(t)) = 4 + 0.01·((10cos(t))²-)10sin(t))²) = 4+cos(2t)

The average value of this over the range 0 ≤ t ≤ 2π is 4, since the cosine function has two full cycles in that range, and its average value over a cycle is zero.

Thus, the area of one side of the fence is that of a rectangle 20π m long and 4 m wide. That will be

... (20π m)·(4 m) = 80π m²

The amount of paint required to cover both sides of the fence is

... 2×(80π m²)×(1 L)/(10 m²) = 16π L ≈ 50.3 L

_____

You can work out the integral for area as a function of t. When you do, you will find it gives this same result.

5 0

3 years ago

JA manufacturer determines that the cost of making a computer component is $3.161616. Write the repeating decimal cost as a fra

Bad White [126]

Answer:

The repeating decimal cost

a) As a fraction = $ $\frac{3161616}{1000000}$

b) As a mixed number = $ $3\frac{161616}{1000000}$

Step-by-step explanation:

The cost of making a computer component

= $3.161616

= $ 3 + 0.161616

Looking at the repeating decimal it is in 6 decimal places, hence to convert it to a fraction,

0.161616/ 1000000 × 1000000

= 161616/1000000

Therefore, the cost of making the computer component =

$3 + $161616/1000000

Step 1

We convert to a fraction

$3 + $161616/1000000

We find the LCM = 1000000

($3 × 1000000)+ ($161616× 1)/1000000

3000000 + 161616/1000000

= $ (3161616/1000000)

As a Mixed number = $3\frac{161616}{1000000}$

8 0

3 years ago

-21+2(3-15)-(-3)(+7)+(-3)(-8)

Alexxx [7]

Answer:

$- 21 + 2(3 - 15) - ( - 3)( + 7) + ( - 3)( - 8) \\ = - 21 - 24 + 21 + 24 \\ = 0$

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3 years ago

An ellipse is drawn with major and minor axes of lengths 10 and 8 respectively. Using one focus as a center, a circle is drawn t

I am Lyosha [343]

Answer:

Step-by-step explanation:

The distance between foci is the root of the difference of the squares of the axes lengths:

d = √(10² -8²) = √36 = 6

Then the radius of the circle is half the difference between this and the length of the major axis:

r = (10 -6)/2 = 4/2

r = 2

5 0

3 years ago