What is the absolute value of any nonzero numberraised to the power of zero

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tigry1 [53]

Step-by-step explanation:

$\frac{( \csc x+1)( \csc x-1)}{ \csc ^2x} = \frac{ { \csc }^{2} x - 1}{ \csc^{2} x} \\ = 1 - \sin^{2} x = \cos^{2} x \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

b. Since csc theta = 1/sin theta, we can multiply both sides by sin theta and you will end up with

$\cos^{2} \theta + \sin^{2} \theta = 1$

which is an identity.

7 0

2 years ago

A jar contains 28 marbles. Half of the marbles are red. Half of the non-red marbles are white and the rest are blue. Todd chose

larisa86 [58]

Answer:

2/9

Step-by-step explanation:

28 marbles in all

"Half of the marbles are red."

28/2 = 14 red

"Half of the non-red marbles are white..."

14/2 = 7 white

"...and the rest are blue."

25 -14 -7 = 7 blue

"Todd chose a <u>white marble</u> at random... " -from the bag that has...

14 red 7 white 7 blue

"... and <u>kept it</u>."- so now the marbles left in the jar are...

14 red 6 white 7 blue

P (white) = Number of white marbles/ Total number of marbles = 6/27 = 2/9

3 0

2 years ago

The variable term in 2x^3-4

siniylev [52]

I assume that it’s an equation so:
2x^3-4=0
x=(2)^(1/3)

8 0

3 years ago

Wayne is going to paint the side of the house shown in the diagram. What is the area that will be painted? Please explain how u

goblinko [34]

First find the area of the rectangle by multiplying the length and width of the rectangle, so 12 x25=300. Then find the area of the triangle, which is length x height/ 2. So 8 x 25=200/2=100. Then add the two answers together to get 400.

3 0

2 years ago

Kyle drew three line segments with lengths: 2/4 inch 2/3inch, and 2/6 inch list the fractions in order from least to greatest

Sati [7]

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Method 1
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Since the numerators are the same, the smaller the denominators, the greater the fraction is.

Arranging from the least to the greatest
$\dfrac{2}{6} \ , \ \dfrac{2}{4} \ , \ \dfrac{2}{3}$

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Method 2
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Lets change all to the same denominators

$\dfrac{2}{4} = \dfrac{2 \times 3}{4 \times 3} = \dfrac{6}{12}$

$\dfrac{2}{3} = \dfrac{2 \times 4}{3 \times 4} = \dfrac{8}{12}$

$\dfrac{2}{6} = \dfrac{2 \times 2}{6 \times 2} = \dfrac{4}{12}$

Now that all the denominators are the same, we can arrange the fractions by comparing the numerators. The bigger the numerators, the greater the fraction.

Arranging from the least to the greatest
$\dfrac{2}{6} \ , \ \dfrac{2}{4} \ , \ \dfrac{2}{3}$

3 0

3 years ago

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