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3 years ago

Solve each imequality. -7-7x< -7(please help!!!)

Mathematics

1 answer:

Vladimir [108]3 years ago

7 0

-7 -7x < -7
+7...........+7
-7x<0
Divide -7
X < 0

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Find the exact value of cot 330° in simplest form with a rational denominator.

Hoochie [10]

Answer:

$\cot 330^{\circ} = -\sqrt{3}$

Step-by-step explanation:

The cotangent function can be rewritten by trigonometric relations, that is:

$\cot 330^{\circ} = \frac{1}{\tan 330^{\circ}} = \frac{\cos 330^{\circ}}{\sin 330^{\circ}}$ (1)

By taking approach the periodicity properties of the cosine and sine function (both functions have a period of 360°), we use the following equivalencies:

$\sin 330^{\circ} = \sin (-30^{\circ}) = -\sin 30^{\circ}$ (2)

$\cos 330^{\circ} = \cos (-30^{\circ}) = \cos 30^{\circ}$ (3)

By (2) and (3) in (1), we have following expression:

$\cot 330^{\circ} = -\frac{\cos 30^{\circ}}{\sin 30^{\circ}}$

If we know that $\sin 30^{\circ} = \frac{1}{2}$ and $\cos 30^{\circ} = \frac{\sqrt{3}}{2}$ , then the result of the trigonometric expression is:

$\cot 330^{\circ} = -\frac{\frac{\sqrt{3}}{2} }{\frac{1}{2} }$

$\cot 330^{\circ} = -\sqrt{3}$

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3 years ago

8+0=8 describe the number sentence

Wittaler [7]

Whatever is adding with 0 its that number its like mulitipulcation with 1 because whatever is times by one like 25x1= 25

8 0

4 years ago

Read 2 more answers

What equation represents the proportional relationship displayed in the table?

Eduardwww [97]

Answer:

$\displaystyle y = 6x$

Step-by-step explanation:

Direct Variation [NO y-intercept]

$\displaystyle 78 = 6[13]$ ☑

$\displaystyle 48 = 6[8]$ ☑

$\displaystyle 18 = 6[3]$ ☑

$\displaystyle 0 = 6[0]$ ☑

I am joyous to assist you at any time.

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4 years ago

The mean for average temperature in Buffalo ,New york , is 47.5°. The temperture fluctuates 23.5° above and below the mean tempe

Nata [24]

1) According to the statement, the Temperature will be modeled with a sine function.

2) a genaral sin function is of the type: <span>Asin(mt + p) + M</span>

where:

t is the variable

A is the amplitud: the fluction fluctuate +/- A units over the mean value. A = 23.5°

M is the mean value. M = 47.5°

m is the frequency, which we need to be 2π/12 (the complete cycle is 12 months) = m = π/6

p is the phase shift, which is 4. p = 4

Then:

a) the model or function is T(t) = 47.5° + 23.5* sin [ (π/6) t + 4]

b) T in march => t = 3

T(3) = 47.5° + 23.5° sin [ (π/6)*3 + 4] = 32.1 °

c) T in august => t = 8

T(8) = 47.5° + 23.5° sin [ (π/6)*8 + 4] = 69.7 °

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3 years ago

There are 30 mystery books in Chin's

Dafna1 [17]

The percentage would be 94%

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3 years ago