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4 years ago

What value of a makes this equation true?

Mathematics

2 answers:

Goshia [24]4 years ago

7 0

9/10=a/30. and value of a is 27

sergeinik [125]4 years ago

4 0

Answer:

Step-by-step explanation:

We can use cross products to solve

9 a

----- = --------

10 30

9*30 = 10a

270 = 10a

Divide each side by 10

270/10 = 10a/10

27 =a

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Graph of a line with the points (3, 2) and (3, –4) plotted.

Liono4ka [1.6K]

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3 years ago

Prove the trigonometric identity

Annette [7]

Answer:

Proved See below

Step-by-step explanation:

Man this one is a world of its own :D Just a quick question are you a fellow Add Math student in O levels i remember this question from back in the day :D Anyhow Lets get started

For this question we need to know the following identities:

$1+tan^{2}x=sec^2x\\\\1+cot^2x=cosec^2x\\\\sin^2x+cos^2x=1$

Lets solve the bottom most part first:

$1-\frac{1}{1-sec^2x} \\\\$

Take LCM

$1-\frac{1}{1-sec^2x} \\\\\frac{1-sec^2x-1}{1-sec^2x} \\\\\frac{-sec^2x}{1-sec^2x} \\\\\frac{-(1+tan^2x)}{-tan^2x}$

now break the LCM

$\frac{-1}{-tan^2x}+\frac{-tan^2x}{-tan^2x}\\\\\frac{1}{tan^2x}+1\\\\cot^2x+1$

because 1/tan = cot x

and furthermore,

$cot^2x+1\\cosec^2x$

now we solve the above part and replace the bottom most part that we solved with $cosec^2x$

$\frac{1}{1-\frac{1}{cosec^2x} } \\\\\frac{1}{1-sin^2x} \\\\\frac{1}{cos^2x}\\\\sec^2x$

Hence proved! :D

4 0

3 years ago

On a sunny afternoon, a 10-meter tall billboard casts a shadow that is 6 meters long. At the same time a nearby building casts a

Liono4ka [1.6K]

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5 0

3 years ago

What is the simplified form of

umka21 [38]

Note: Your answer choices remain a little unclear. But, I have solved the concept and solution, so you can easily figure it out.

Answer:

$\left(-7x^0+5x^2-x+6\right)-\left(-8x^2+x+3\right)=13x^2-2x-4$

Step-by-step explanation:

Given the expression

$\left(-7x^0+5x^2-x+6\right)-\left(-8x^2+x+3\right)$

solving the expression

$=-7x^0+5x^2-x+6-\left(-8x^2+x+3\right)$

apply the rule: $a^0=1,\:a\ne \:0$

$=-7+5x^2-x+6-\left(-8x^2+x+3\right)$

$=-7+5x^2-x+6+8x^2-x-3$

simplify

$=13x^2-2x-4$

Therefore, the simplified form is:

$\left(-7x^0+5x^2-x+6\right)-\left(-8x^2+x+3\right)=13x^2-2x-4$

Note: Your answer choices remain a little unclear. But, I have solved the concept and solution, so you can easily figure it out.

8 0

3 years ago

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Vikki [24]

The answer to your question is 43

5 0

3 years ago