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3 years ago

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A country road has a section of road with grade of 9%. A car climbs up the slope road 18 feet above the flat road . What horizon

tal distance does the car travel?

1 answer:

Leni [432]3 years ago

3 0

Answer:

36

Step-by-step explanation:

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A function y = g(x) is graphed below. What is the solution to the equation g(x) = 3?

hodyreva [135]

closed interval on x=3 and open at x=5

for all values between these numbers, y=3

so [3,5)

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3 years ago

Find the exact value of sin2 theta given sin theta =5/13, 90°<theta <180°

Zepler [3.9K]

Now, we know that 90°< θ <180°, that simply means the angle θ is in the II quadrant, where sine is positive and cosine is negative.

$\bf sin(\theta )=\cfrac{\stackrel{opposite}{5}}{\stackrel{hypotenuse}{13}}\impliedby \textit{now let's find the \underline{adjacent side}}
\\\\\\
\textit{using the pythagorean theorem}\\\\
c^2=a^2+b^2\implies \pm\sqrt{c^2-b^2}=a\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}$

$\bf \pm\sqrt{13^2-5^2}=a\implies \pm\sqrt{144}=a\implies \pm 12 =a \implies \stackrel{II~quadrant}{-12=a}
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therefore \qquad cos(\theta )=\cfrac{\stackrel{adjacent}{-12}}{\stackrel{hypotenuse}{13}}
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sin(2\theta )\implies 2sin(\theta )cos(\theta )\implies 2\left(\frac{5}{13} \right)\left( \frac{-12}{13} \right)\implies -\cfrac{120}{169}$

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3 years ago

Due to weather mark walk to school day of the 20 days in february what would be the fraction representation for the number of da

nekit [7.7K]

Tbe question doesn't state the number of days he walked to school out of 20 school days in the

Month of February.

Answer:

Kindly check explanation

Step-by-step explanation:

To. Obtain the fractional representayion for the number of days he walked to school ;

Let the number of days he walked to school = 10 (this is an hypothesized value)

Number of school days in February = 20

Fraction = 10 /20 = 0.5

The percentage of times walked to school : multiply the fraction obtained above by 100%

0.5 * 100% = 50%

Just put the desired value and proceed uSing the steps described above.

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3 years ago

F(x) = 9x + 3<br>g(x) = 3x + 1<br>Find:<br>(f/g)(x)

igomit [66]

Answer:

<h2>(f/g)(x) = 3</h2>

Step-by-step explanation:

f(x) = 9x + 3

g(x) = 3x + 1

To find (f/g)(x) divide f(x) by g(x)

That's

$(f/g)(x) = \frac{9x + 3}{3x + 1}$

Factorize f(x)

f(x) = 9x + 3 = 3(3x + 1)

So we have

$(f/g)(x) = \frac{3(3x + 1)}{3x + 1}$

Simplify

We have the final answer as

<h3>(f/g)(x) = 3</h3>

Hope this helps you

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Which equation represents a proportional relationship?

forsale [732]

Y=4x+1 is the answer to your question

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