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MissTica
3 years ago
11

Find each length:

Mathematics
1 answer:
zhuklara [117]3 years ago
6 0

Answer:

The length of the longer leg is 7\sqrt{3}\ units

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

In any triangle:

The shortest side is always opposite the smallest interior angle. The longest side is always opposite the largest interior angle

so

The longer leg is AC

we have

sin(60^o)=\frac{AC}{AB} ----> by SOH (opposite side divided by the hypotenuse)

Remember that

sin(60^o)=\frac{\sqrt{3}}{2}

AB=14\ units

substitute the given values

\frac{\sqrt{3}}{2}=\frac{AC}{14}

AC=7\sqrt{3}\ units

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- 2x+10+4x=70 what is the value of x
tigry1 [53]

-2x+10+4x=70

subtract ten from both sides

-2x+4x=60

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Read 2 more answers
\tan \left(18\right)=\frac{x}{20}
noname [10]

Answer:

x ≈ 6.5

Step-by-step explanation:

We have the epresion tan(18)=\frac{x}{20} and we want to find the value of x.

Let's do it step-by-step

Step 1. Multiply both sides of the equation by 20

tan(18)=\frac{x}{20}

20tan(18)=(\frac{x}{20} )(20)

20tan(18)=x

Step 2. use the reflexive property of equality: if a=b then b=a

20tan(18)=x

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Step 3. Using a calculator we get that tan(18)=0.325.  Replacing that value we get

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4 0
3 years ago
14=3(x-2)+5<br>How can I solve this equation?​
daser333 [38]
1. distribute the 3 into the variable and number in the equation
to do this..
2. multiply 3 by x (obtain the answer of 3x)
3. multiply 3 by -2 (obtain the answer of -6)
4. you now have the equation of ‘14 = 3x-6+5’
5. subtract 6 from 5 (obtain the answer of -1)
6. you now have the equation of ‘14 = 3x-1’
7. add one to both sides (cancel out the negative one and make the opposite side of the equation 15 instead of 14)
8. you now have the equation of ‘15 = 3x’
9. divide both sides by 3 (15 and x)
FINAL ANSWER
x = 5
hope this helps:)
5 0
4 years ago
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