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-BARSIC- [3]
3 years ago
7

Solve for x in the given interval. sec x= -2√3/3, for π/2 ≤x≤π

Mathematics
1 answer:
drek231 [11]3 years ago
4 0

Answer:

b. x=\frac{5\pi}{6}

Step-by-step explanation:

The given function is

\sec x=-\frac{2\sqrt{3} }{3},\:\:for\:\:\frac{\pi}{2}\le x \le \pi

Recall that the reciprocal of the cosine ratio is the secant ratio.

This implies that;

\frac{1}{\cos x}=-\frac{2\sqrt{3} }{3}

\Rightarrow \cos x=-\frac{3}{2\sqrt{3} }

\Rightarrow \cos x=-\frac{\sqrt{3}}{2}

We take the inverse cosine of both sides to obtain;

x=\cos^{-1}(-\frac{\sqrt{3}}{2})

x=\frac{5\pi}{6}

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The diagram shows two nested triangles that share a vertex.Find a center and a scale factor for a dilation that would move the l
nasty-shy [4]

Transformation that changes the size of a shape is referred to as dilation.

  • The scale factor that moves the large triangle to the small one is 1/5
  • The center of dilation is: (-1,1)

<u>The center of dilation</u>

From the diagram (see attachment), the triangles share a common vertex at (-1,1)

This means that, the center of dilation is (-1,1)

<u>The scale factor of dilation</u>

To do this, we divide the side length of the small triangle with the corresponding side of the large triangle.

From the attached image:

\mathbf{Base\ of\ small\ triangle = 1}

\mathbf{Base\ of\ large\ triangle = 5}

So, the scale factor (k) from large to small is:

\mathbf{k = \frac{Base\ of\ small\ triangle}{Base\ of\ large\ triangle} }

\mathbf{k = \frac{1}{5} }

Read more about dilation at:

brainly.com/question/13176891

3 0
3 years ago
Plssssssss help with this
Olenka [21]

Answer:

x=4

Step-by-step explanation:

If all the figures are similar, we'll have to shrink them at the same rate as the rest.

The ratio here is 2/5. So,

2/5 = 6.4/16

2/5 = x/10

x=4

3 0
3 years ago
Read 2 more answers
What is y=4/5x+2 written in standard form
shepuryov [24]

Answer:

4x-5y=-10

Step-by-step explanation:

we know that

The equation of the line in standard form is in the form

Ax + By = C

where

A is a positive integer, and B, and C are integers

In this problem we have

y=\frac{4}{5}x+2 ----> equation of the line in slope intercept form

Convert to standard form

Multiply by 5 both sides

5y=4x+10

4x-5y=-10

5 0
3 years ago
Read 2 more answers
Find the probability. An IRS auditor randomly selects 3 tax returns (without replacement) from 47 returns of which 5 contain err
grin007 [14]
Number of returns = 47
Number of returns that contain errors = 5
Number of returns that does not contain error = 47 - 5 = 42

P(selecting none that contains error in the unreplaced selection) = 42/47 x 41/46 x 40/45 = 68880 / 97290 = 0.708

option C is the correct answer.
8 0
3 years ago
HELP ME IM TERRIBLE AT THIS
OLEGan [10]

Answer:

a.   $14.50

b.  $43.5

Step-by-step explanation:

a. $7.00 + $7.50 = $14.50

b. y = 14.5x          x=3

y = $14.5 x 3 = $43.5

8 0
3 years ago
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