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givi [52]
2 years ago
12

1/2(4x+10)=2 i need to get x

Mathematics
1 answer:
kari74 [83]2 years ago
8 0
First you need to distribute the 1/2 by the numbers in the parentheses
1/2•4x and 1/2•10 which equals
2x+5=10

next, you will need to get the 2x by itself so you would do
2x+5=10
-5=-5
2x=5

finally, you divide the 2 by the 5 so you can get the x by itself
2x divided by 5

the answer is: x=2.5
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Is sin theta=5/6, what are the values of cos theta and tan theta?
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let's bear in mind that sin(θ) in this case is positive, that happens only in the I and II Quadrants, where the cosine/adjacent are positive and negative respectively.

\bf sin(\theta )=\cfrac{\stackrel{opposite}{5}}{\stackrel{hypotenuse}{6}}\qquad \impliedby \textit{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} \\\\\\ \pm\sqrt{6^2-5^2}=a\implies \pm\sqrt{36-25}\implies \pm \sqrt{11}=a \\\\[-0.35em] ~\dotfill

\bf cos(\theta )=\cfrac{\stackrel{adjacent}{\pm\sqrt{11}}}{\stackrel{hypotenuse}{6}} \\\\\\ tan(\theta )=\cfrac{\stackrel{opposite}{5}}{\stackrel{adjacent}{\pm\sqrt{11}}}\implies \stackrel{\textit{and rationalizing the denominator}~\hfill }{tan(\theta )=\pm\cfrac{5}{\sqrt{11}}\cdot \cfrac{\sqrt{11}}{\sqrt{11}}\implies tan(\theta )=\pm\cfrac{5\sqrt{11}}{11}}

5 0
2 years ago
Which expression is equal to 37√ ?<br><br><br><br><br> 37√49<br><br> 737√<br><br> 37√7<br><br> 217√
e-lub [12.9K]

Answer:

dont know what grade your in but looks like u need to help me

Step-by-step explanation:

8 0
3 years ago
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Help pls I'm running out of points &amp; brain cells lol T^T
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Answer:

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Step-by-step explanation:

Step 1:

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Step 2:

c + 5.3 = 0.6

Step 3:

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Answer:

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Seven people can paint a bridge in 15 days.
Aleksandr [31]

Answer:

a) 3 people will need 35 days to paint the bridge

b) p=105/t

Step-by-step explanation:

a)

We have 7 people each one is to work 15 days, so the bridge needs a total of 7(15) days of work

7(15)=105

Then we have 3 people each one is to work t days, altogether should do a total of 105 days of work

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Solve for t

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b)

Substitute p for 3 in the second equation

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Solve for p

p=105/t

8 0
3 years ago
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