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2 years ago

12

Write the expression in algebraic form. [hint: sketch a right triangle.] tan(arcsec(x/3))

1 answer:

WARRIOR [948]2 years ago

6 0

Sketch a right triangle having adjacent side(A) is given as “3”, hypotenuse side (H) is “x” and assigning angle “a” as the angle between A and H. Using Pythagorean theorem, you will get “square root of x-squared minus 9” as the opposite side (O). Using SOH CAH TOA function, and since secant is the reciprocal of cosine, sec(a) = x/3. Thus, a = arcsec(x/3). The remaining expression tan(a) is Opposite side over Adjacent side which is equal to “square root of x^2 - 9” over "3". Therefore, the algebraic expression would be: tan(arcsec(x/3)) = “sqrt (x^2 -9)” /3. Different answers can be made depending on which side you consider the “3” and “x”.

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riadik2000 [5.3K]

Time spent practising soccer = 45 + N<span />

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2 years ago

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adell [148]

Answer:

A

Step-by-step explanation:

100fps=68.182mph

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2 years ago

Want an equation in point slope form of the line through the given point and with the given slope

coldgirl [10]

Answer:

<h3>The answer is option D</h3>

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

$y - y_1 = m(x - x_1)$

where

m is the slope

( x1 , y1) is the point

From the question the point is ( - 2 , -5) and slope 0 is

The equation of the line is

$y + 5 = 0(x + 2) \\$

We have the final answer as

<h2> $y + 5 = 0$ </h2>

Hope this helps you

3 0

2 years ago

If <img src="https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7B4%7D%20%3D%20%5Cfrac%7Bb%7D%7B7%7D" id="TexFormula1" title="\frac{a}{4} =

tamaranim1 [39]

Answer:

Step-by-step explanation:

$\frac{a}{4}=\frac{b}{7}\\a=\frac{4b}{7} \\\frac{a-b}{b} =\frac{\frac{4b}{7}-b }{b} \\=\frac{4b-7b}{7b}\\ =\frac{-3b}{7b}\\ =\frac{-3}{7}$

6 0

2 years ago

Mr.Mason takes two-thirds of his body weight and drinks that amount of gatorade in ounces per day. If Mr.Mason drinks 118 ounces

denis-greek [22]

The total weight of Mason is 177

<em><u>Solution:</u></em>

Given that, Mr.Mason takes two-thirds of his body weight and drinks that amount of gatorade in ounces per day

Mr.Mason drinks 118 ounces each day

Let "x" be the total weight of Mr.Mason

Therefore, we can say,

Two third of body weight = Amount of gatorade drank in ounces per day

Two third of x = 118

$\frac{2}{3} \text{ of } = 118\\\\\frac{2}{3} \times x = 118\\\\2x = 118 \times 3\\\\2x = 354\\\\x = \frac{354}{2}\\\\x = 177$

Thus total weight of Mason is 177

6 0

2 years ago