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3 years ago

If StartFraction pi Over 2 EndFraction less than t less than pi , which of the following is true?

Mathematics

1 answer:

oksian1 [2.3K]3 years ago

5 0

Answer:

b. cosine t less than 0 and cotangent t greater than 0

Step-by-step explanation:

We have the following relation

$\frac{\pi }{2} < t$

if we apply the cosine function in the relation we get:

$cos\frac{\pi }{2}$

$-1$

the cosine of t is between 0 and -1 then (cosine t less than 0)

If we now apply cotangent function in the relation:

$cotan\frac{\pi }{2}$

$0$

This means that cotang is greater than 0, therefore the correct answer is b. cosine t less than 0 and cotangent t greater than 0

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Simplify (ab2 + 10 + a) – (6ab2 – 2ab + 8)

grin007 [14]

−5ab2+2ab+a+2

That is the answer if you need more help on other questions use Math-way it helps answer all problems like that

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2 years ago

40,000 ft.2 to hectares (1 hectare = 10,000 m2)

frozen [14]

Answer:

1.2192 hectares

Step-by-step explanation:

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3 years ago

Read 2 more answers

Find all solutions to x³+3x² − 9x − 27 = 0 by factoring the equation.

SCORPION-xisa [38]

Answer:

The solutions are $x=-3,\:x=3$

Step-by-step explanation:

To factor this cubic polynomial $x^3+3x^2-9x-27$ you must:

Group the polynomial into two sections

$x^3+3x^2-9x-27=\left(x^3+3x^2\right)+\left(-9x-27\right)$

Factor out -9 from $(-9x-27)$

$(-9x-27)=-9\left(x+3\right)$

Factor out $x^2$ from $(x^3+3x^2)$

$(x^3+3x^2)=x^2\left(x+3\right)$

$x^3+3x^2-9x-27=-9\left(x+3\right)+x^2\left(x+3\right)$

Factor out common term $x+3$

$-9\left(x+3\right)+x^2\left(x+3\right)=\left(x+3\right)\left(x^2-9\right)$

$x^3+3x^2-9x-27=\left(x+3\right)\left(x^2-9\right)$

Factor $x^2-9$

$x^2-9=\left(x+3\right)\left(x-3\right)$

$x^3+3x^2-9x-27= \left(x+3\right)\left(x+3\right)\left(x-3\right)$

$x^3+3x^2-9x-27=\left(x+3\right)^2\left(x-3\right)=0$

Using the Zero Factor Theorem: = 0 if and only if = 0 or = 0

$x+3=0, \quad{x=-3}\\x-3=0, \quad{x=3}$

The solutions are

$x=-3,\:x=3$

3 0

3 years ago

If you conducted a survey on the distribution of M & M colors in 20 packages chosen at random, what type of graph would be b

navik [9.2K]

Answer:

A bar graph is the best graph to use

5 0

3 years ago

Find the value of x?

Arisa [49]

Answer:

x = 5

Step-by-step explanation:

x + 5 = $\frac{1}{2}(x^{2} - x)$ {Midpoint theorem}

2(x+ 5) = x² - x

2x + 10 = x² - x

x² - x - 2x - 10 = 0

x² - 3x - 10 = 0

x² - 5x + 2x - (5*2) = 0

x(x - 5) + 2(x - 5) = 0

(x -5)(x + 2) = 0

{x + 2 is ignored because measurement could not be in negative value}

x - 5 = 0

x = 5

5 0

3 years ago

If StartFraction pi Over 2 EndFraction less than t less than pi ​, which of the following is​ true?

If StartFraction pi Over 2 EndFraction less than t less than pi , which of the following is true?