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2 years ago

How do you solve for the Rations of Special Triangles? This is confusing

Mathematics

1 answer:

Bogdan [553]2 years ago

6 0

Answer:

The answer to your question is x = $\frac{3\sqrt{2}}{2}$

Step-by-step explanation:

Data

right triangle

x = ?

hypotenuse = 3

To solve this problem use trigonometric functions. The trigonometric function that relates the opposite side and the hypotenuse is sine.

sin Ф = Opposite side / hypotenuse

-Solve for Opposite side (x)

x = hypotenuse sin 45

-Substitution

sin 45 = $\frac{\sqrt{2}}{2}$

x = 3 $\frac{\sqrt{2}}{2}$

-Solution

x = $\frac{3\sqrt{2}}{2}$ It is not possible to simplify any more.

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I think the answer is a but I’m not for sure

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2 years ago

The volume of 10,000 drops of liquid is a 1 fluid ounce. what is the volume of 1000 drops?

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2 years ago

Aaron was offered a job that paid a salary of \$57,000$57,000 in its first year. The salary was set to increase by 1% per year e

Jobisdone [24]

Answer:

The total amount received is: $1906650

Step-by-step explanation:

Given

$a = \$57000$ --- initial

$b = 1\%$ --- rate

$n = 29$ --- time

Required

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The given question is an illustration of geometric progression, and we are to solve for the sum of the first n terms

Where $n = 29$

$r = 1 + b$

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Express percentage as decimal

$r = 1 + 0.01$

$r = 1.01$

The required is the calculated using:

$S_n = \frac{a(r^n - 1)}{r - 1}$

So, we have:

$S_n = \frac{57000 * (1.01^{29} - 1)}{1.01 - 1}$

$S_n = \frac{57000 * (1.3345- 1)}{0.01}$

$S_n = \frac{57000 * 0.3345}{0.01}$

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8 0

2 years ago

The points ????(0,0), ????(−4,1), ????(−3,5), and ????(1,4) are the vertices of parallelogram OABC Is this parallelogram a

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Answer:

Yes, parallelogram OABC is a rectangle.

Step-by-step explanation:

The vertices of a parallelogram are O(0,0), A(-4,1), B(-3,5) and C(1,4).

A parallelogram is a rectangle if its any two adjacent sides are perpendicular to each other.

product of slopes of two perpendicular lines is -1.

Formula for slope is

$Slope=\dfrac{y_2-y_1}{x_2-x_1}$

Using the formula we get

$m_{OA}=\dfrac{1-0}{-4-0}=-\dfrac{1}{4}$

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$m_{OA}\times m_{AB}=-\dfrac{1}{4}\times 4=-1$

It means OA is perpendicular to AB.

Since two adjacent sides are perpendicular, therefore the given parallelogram OABC is a rectangle.

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3 years ago

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Answer:

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1 year ago