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3 years ago

PLS HELP!!!!What are the sine, cosine and tangent ratios ofangle W in the triangle below

Mathematics

1 answer:

Ksju [112]3 years ago

7 0

Step-by-step explanation:

Remember SOH-CAH-TOA:

Sine = Opposite / Hypotenuse

Cosine = Adjacent / Hypotenuse

Tangent = Opposite / Adjacent

The side adjacent to W is 4. The side opposite of W is 3. The hypotenuse is 5.

Therefore:

Sine = 3 / 5

Cosine = 4 / 5

Tangent = 3 / 4

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3 years ago

Simplify (2*4)−1.

EastWind [94]

The simplification form of the number expression (2⁴)⁻¹ is 1/2⁴ option (B) one over two raised to the fourth power is correct.

<h3>What is an integer exponent?</h3>

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

It is given that:

The number expression is:

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Using the properties of the integer exponent:

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2 years ago

10 less than 5 times a number is less than 6 times the number decreased by eight

-BARSIC- [3]

Answer:

The Answer is: the Number is -2

Step-by-step explanation:

Let n = the number.

Five times the number minus 10 is less than 6 times the number minus eight:

5n - 10 = 6n - 8

-1n = -8 + 10

-n = 2

n = -2, the value of the number is -2.

Proof:

5(-2) - 10 = 6(-2) - 8

-10 - 10 = -12 - 8

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Hope this helps! Have an Awesome Day!! :-)

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3 years ago

You know the measure of the exterior angle which forms a linear pair with the vertex angle. Describe two ways you can find measu

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Answer:

Step-by-step explanation:

A linear pair are two given angles whose sum is equal to $180^{o}$ .

Let the exterior angle be represented by $x^{o}$ , and the three interior angles of the triangle be represented by $a^{o}$ , $b^{o}$ and $c^{o}$ .

Assume that the vertex angle $c^{o}$ is the linear pair to the exterior angle $x^{o}$ .

i.e $x^{o}$ + $c^{o}$ = $180^{o}$ (sum of angles on a straight line)

Thus,

i. $a^{o}$ + $b^{o}$ = $x^{o}$ (sum of two opposite interior angles is equal to an exterior angle)

⇒ $a^{o}$ = $x^{o}$ - $b^{o}$

Also,

$b^{o}$ = $x^{o}$ - $a^{o}$

But,

$a^{o}$ + $b^{o}$ + $c^{o}$ = $180^{o}$ (sum of angles in a triangle)

⇒ $c^{o}$ = $180^{o}$ - ( $a^{o}$ + $b^{o}$ )

and

$a^{o}$ + $b^{o}$ = $180^{o}$ - $c^{o}$

ii. $a^{o}$ + $b^{o}$ + $c^{o}$ = $180^{o}$ (sum of angles in a triangle)

$a^{o}$ = $180^{o}$ - ( $b^{o}$ + $c^{o}$ )

Also,

$a^{o}$ + $b^{o}$ = $x^{o}$

⇒ $b^{o}$ = $x^{o}$ - $a^{o}$

$c^{o}$ = $180^{o}$ - $x^{o}$

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3 years ago

The fifth,ninth and sixteenth term of a Linear sequence are the consecutive term of an exponential sequence. Find the common dif

Sunny_sXe [5.5K]

Answer:

vfbg

Step-by-step explanation:

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3 years ago

PLS HELP!!!!What are the sine, cosine and tangent ratios ofangle W in the triangle below​

PLS HELP!!!!What are the sine, cosine and tangent ratios ofangle W in the triangle below