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Oduvanchick [21]
2 years ago
10

Please help! Khan question

Mathematics
1 answer:
Rudik [331]2 years ago
7 0

Answer:

7=2+r

Step-by-step explanation:

Since the figure represents a balanced equation, then both sides add up to be the same:

1+1+1+1+1+1+1=1+1+r\\7=2+r

Not sure which one Khan is asking for :|

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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}

7 0
3 years ago
What fraction is bigger 14/7 or 2/4
Arisa [49]
14/7, 14/7=2 and 2/4= 0.5
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What represents the equal number of parts that equal a whole in a fraction.
Alex
This refers to the "denominator" of a fraction. By definition, the denominator tells you how many you need to have of an equal part in order to create a whole. The numerator tells you how much of those equal parts you have. 
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JulijaS [17]

200 x 0.87 = 174

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Please solve this with work.
amid [387]

Answer:

  x = 2

Step-by-step explanation:

The relevant rule of logarithms is ...

  log(a/b) = log(a) -log(b)

This lets us combine the logs on the left to get ...

  log((6 +7x)/(3x -2)) = log(5)

Taking anti-logs gives ...

  (6 +7x)/(3x -2) = 5

  6 +7x = 5(3x -2) . . . . . multiply by (3x -2)

  7x +6 = 15x -10 . . . . . eliminate parentheses

  8x = 16 . . . . . . . . . . . add 10-7x to both sides

 x = 2 . . . . . . . . . . . . . divide by 8

The solution is x = 2.

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The graph shows the left side of the equation is equal to the right side for x=2.

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