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3 years ago

9. What is the range of the function f(x) = 3.3?

Mathematics

1 answer:

klemol [59]3 years ago

6 0

Answer:

Step-by-step explanation:

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Annette [7]

Answer:

Step-by-step explanation:

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3 years ago

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Find the exact values of a) sec of theta b)tan of theta if cos of theta= -4/5 and sin<0

Gre4nikov [31]

Answer:

Using trigonometric ratio:

$\sec \theta = \frac{1}{\cos \theta}$

$\tan \theta = \frac{\sin \theta}{\cos \theta}$

From the given statement:

$\cos \theta = -\frac{4}{5}$ and sin < 0

⇒ $\theta$ lies in the 3rd quadrant.

then;

$\sec \theta = \frac{1}{-\frac{4}{5}} = -\frac{5}{4}$

Using trigonometry identities:

$\sin \theta = \pm \sqrt{1-\cos^2 \theta}$

Substitute the given values we have;

$\sin \theta = \pm\sqrt{1-(\frac{-4}{5})^2 } =\pm\sqrt{1-\frac{16}{25}} =\pm\sqrt{\frac{25-16}{25}} =\pm \sqrt{\frac{9}{25} } = \pm\frac{3}{5}$

Since, sin < 0

⇒ $\sin \theta = -\frac{3}{5}$

now, find $\tan \theta$ :

$\tan \theta = \frac{\sin \theta}{\cos \theta}$

Substitute the given values we have;

$\tan \theta = \frac{-\frac{3}{5} }{-\frac{4}{5} } = \frac{3}{5}\times \frac{5}{4} = \frac{3}{4}$

Therefore, the exact value of:

(a)

$\sec \theta =-\frac{5}{4}$

(b)

$\tan \theta= \frac{3}{4}$

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3 years ago

Pls help will give brainilist

Yuki888 [10]

Answer:

3. 26 problems left

4. $69.20

Step-by-step explanation:

1. First I divided 5 into 2 to get a decimal, 0.4, and then I multiplied 0.4 to 65.

0.4 x 65 = 26

2. It said that Luke paid 2.75 for himself and 6 other friends, which is 7 people. I then multiplied 2.75 x 7 and got 19.25. I then added 19.25 to the other amount of money, and got 69.20.

49.95 + 19.25 = 69.20

Hope this helps <3

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2 years ago

List all the factors of 10

saul85 [17]

Answer: factors of 10 are 1, 2, 5, and 10.

Step-by-step explanation: You can also look at this the other way around: if you can multiply two whole numbers to create a third number, those two numbers are factors of the third. 2 x 5 = 10, so 2 and 5 are factors of 10.

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3 years ago

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The point-slope form of the equation of the line that passes through (–9, –2) and (1, 3) is y – 3 = 1/2 (x – 1). What is the slo

Vinil7 [7]

You just have to simplify that point-slope equation in order to get it into slope-intercept:
$y-3= \frac{1}{2} (x-1)$
$y-3= \frac{1}{2}x- \frac{1}{2}$
$y= \frac{1}{2} x- \frac{1}{2} +3$
$y= \frac{1}{2} x- \frac{1}{2} + \frac{6}{2}$
$y= \frac{1}{2} x+ \frac{5}{2}$

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4 years ago

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