How to solve a verbal problem algebraically

1 answer:

5 0

Step 1. You must write down/ underline all the numbers given in the problem.

Step2. Identify all the unknown variable such as x, y, a, b [those are the most common ones].

Step 3 Identify what sign of operation your working with... It can be +,-,×,÷.

Step 3 write down all your terms on the LHS of the equation.

Step 4. Equate all the constant on the RHS of the equation. If the constant was negative It would be positive and vic versa

Step. Solve your problem

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Can y'all help me with number 6.

Juliette [100K]

SOH CAH TOA -> $\bf sin(\theta)=\cfrac{opposite}{hypotenuse}
\qquad \qquad 
% cosine
cos(\theta)=\cfrac{adjacent}{hypotenuse}

\\ \quad \\
% tangent
tan(\theta)=\cfrac{opposite}{adjacent}$

so.. which of those fellows do we use?
well, the triangle gives us

the angle, 15 degrees, for elevation angle
the adjacent side, 50m
and we want the opposite side, the slide

so...who has only, the angle, opposite, and adjacent sides?
well, low and behold, is Ms tangent
thus
$\bf tan(\theta)=\cfrac{opposite}{adjacent}\qquad 
\begin{cases}
\theta\to 15^o\\
adjacent=50\\
opposite=x-15
\end{cases}
\\ \quad \\
tan(15^o)=\cfrac{x-15}{50}\implies 50tan(15^o)=x-15\\\\ 50\cdot tan(15^o)+15=x$

notice, "x" in the picture, is the distance from the ground up to the top of the waterslide, using that triangle, what we're getting is just the distance, from the shorter slide, to the taller one, or x - 15
thus, the opposite side is x -15

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3 years ago

12-b=12.5. Solve each equation

Hitman42 [59]

Answer:0.5
Explanation: 12.5-12=0.5

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3 years ago

Read 2 more answers

What is thicker 1.75 or 1.950

Rainbow [258]

1.950 because the first number after the decimal is bigger

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3 years ago

Why is 100 a perfect square

Virty [35]

The perfect square are the squares of the whole number 1,4,9,16,25,36,49,64,81,100 here are the square roots of all the perfect from i to 100 1. estimate first get as close as you can by finding two perfect square roots your number is between

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2 years ago

PLZ HELP LAST ONE RIGHT TRIANGLES

Colt1911 [192]

We are given the angle measure, measure of hypotenuse and we are to find the base(Adjacent) side of the angle.

Cosine relates all these three as:

$cos(x)= \frac{Base}{Hypotenuse} \\ \\ 
cos(20)= \frac{Base}{2} \\ \\ 
Base=2 *(cos20) \\ \\ 
Base=1.88$

Rounded to nearest hundredth, the measure of side adjacent to the angle is 1.88

5 0

3 years ago