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2 years ago

1/4 (4r - 8) = r - 2

1 answer:

4 0

Solve for r.

Use distributive property.

4/4r - 8/4 = r - 2

4/4 can be written as 1 and -8/4 can be written as -2.

r - 2 = r - 2

You have an infinite amount of solutions.

Hope this helps!

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The following table is from rolling a six sided die 120 times.

wlad13 [49]

Answer: did you ever get the answer ?

Step-by-step explanation:

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2 years ago

Let O be an angle in quadrant III such that cos 0 = -2/5 Find the exact values of csco and tan 0.

vivado [14]

well, we know that θ is in the III Quadrant, where the sine is negative and the cosine is negative as well, or if you wish, where "x" as well as "y" are both negative, now, the hypotenuse or radius of the circle is just a distance amount, so is never negative, so in the equation of cos(θ) = - (2/5), the negative must be the adjacent side, thus

$cos(\theta)=\cfrac{\stackrel{adjacent}{-2}}{\underset{hypotenuse}{5}}\qquad \textit{let's find the \underline{opposite side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{5^2 - (-2)^2}=b\implies \pm\sqrt{25-4}\implies \pm\sqrt{21}=b\implies \stackrel{III~Quadrant}{-\sqrt{21}=b}$

$\dotfill\\\\ csc(\theta)\implies \cfrac{\stackrel{hypotenuse}{5}}{\underset{opposite}{-\sqrt{21}}}\implies \stackrel{\textit{rationalizing the denominator}}{-\cfrac{5}{\sqrt{21}}\cdot \cfrac{\sqrt{21}}{\sqrt{21}}\implies -\cfrac{5\sqrt{21}}{21}} \\\\\\ tan(\theta)=\cfrac{\stackrel{opposite}{-\sqrt{21}}}{\underset{adjacent}{-2}}\implies tan(\theta)=\cfrac{\sqrt{21}}{2}$

4 0

2 years ago

Use one method to find the LCM of the first set of numbers below. Use the other method to find the LCM of the second set. Show W

Nat2105 [25]

Answer:

The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.

Step-by-step explanation:

The LCM of 13 AND 17 is 221

The LCM of 40 AND 60 is 120

lcm (40; 60) = 120 = 23 × 3 × 5

4 0

3 years ago

german

Let

x------> hours worked by Sara last week

y------> hours worked by Joan last week

z------> hours worked by Erin last week

we know that

x=28 hours ------> equation 1

y=x-6-----> equation 2

substitute the value of x in equation 2

y=28-6=22 hours

z=y/2------> equation 3

substitute the value of y in the equation 3

z=22/2=11 hours

<u>the answer is</u>

Sara worked 28 hours last week

Joan worked 22 hours last week

Erin worked 11 hours last week

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3 years ago

Read 2 more answers

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Romashka-Z-Leto [24]

Answer:

2.6

Step-by-step explanation:

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3 years ago