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SpyIntel [72]
4 years ago
14

When evaluating proportions, we write the ratios in fractional form and then we

Mathematics
1 answer:
harkovskaia [24]4 years ago
7 0
Answer: set the cross product equal.

Explanation.

A proportion is the equality of two ratios.

For example:

1        6
--- = ------
3       18

You may use the proportions to find the value of an unknown quanity

For example

1        x
--- =  ----
3       24

So, if you want to solve for the unknown, the next step isto set the cross product equal:

1*24 = 3*x

=> 24 = 3x

From which you can obtain: x = 24 / 3 = 8
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An attic floor is shaped like a triangle with a height of n yd and a base of 6 yd. Which expression represents the area of the f
Gwar [14]
I think it is 2..... i am not really sure
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3 years ago
(Step to step work)<br><br> sin x(cotx + tanx)
11Alexandr11 [23.1K]

solving sin(x)(cot(x) + tan(x)) we get sec(x)

Step-by-step explanation:

We need to solve: sin(x)(cot(x) + tan(x))

Solving:

We know:

cot(x)=\frac{cos(x)}{sin(x)}\\ and\,\,tan(x)=\frac{sin(x)}{cos(x)}

Putting the values of cot(x) and tan(x):

sin(x)(cot(x) + tan(x))\\=sin(x)(\frac{cos(x)}{sin(x)}+\frac{sin(x)}{cos(x)})

Taking LCM:

=sin(x)(\frac{cos(x)cos(x)+sin(x)sin(x)}{sin(x)cos(x)})\\=sin(x)(\frac{cos^2(x)+sin^2(x)}{sin(x)cos(x)})

We know that: cos^2x+sin^2x=1

and using identity: cos(x)sin(x)=sin(2x)*1/2

=sin(x)(\frac{1}{sin(2x)\frac{1}{2}})\\=sin(x)(\frac{2}{sin(2x)})

Using identity: sin(2x)=2cos(x)sin(x)

=sin(x)(\frac{2}{2sin(x)cos(x)})\\Cancelling\,\,same\,\,terms\,\,in\,\,numerator\,\,and\,\,denominator:\\=\frac{1}{cos(x)} \\=sec(x)

So, solving sin(x)(cot(x) + tan(x)) we get sec(x)

Keywords: Trigonometry

Learn more about Trigonometry at:

  • brainly.com/question/13219835
  • brainly.com/question/5013374
  • brainly.com/question/9532142

#learnwithBrainly

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Answer:

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Step-by-step explanation:

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Does the temperature 0 degrees mean the same thing on both scales.
Firlakuza [10]
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Read 2 more answers
the volume of a cylinder is 1,356.48^ feet. If the diameter is 12 feet, calculate the height of the cylinder.
Olin [163]

Answer:

11.99 ft

Step-by-step explanation:

The formula for the volume of a cyl. of radius r and height h is V = πr²h.

Solving this immediately for h yields:

         V

h = ----------

         πr²

Inserting the known quantities results in:

         V           1356.48 ft³

h = ---------- = ----------------------      Note that r = (1/2)d, so r = (1/2)(12 ft) = 6 ft

         πr²         3.14159 (6 ft)²

   =   11.994 ft

The height of the cyl. is 11.99 ft (to the nearest hundredth foot)

4 0
3 years ago
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