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larisa86 [58]
3 years ago
12

Please answer this for me pleaseeeee

Mathematics
1 answer:
kobusy [5.1K]3 years ago
4 0

Answer:

\Huge\boxed{x=71.9}

Step-by-step explanation:

Hello There!

Once again we are going to use trigonometry to solve for x

Here are the <u>Trigonometric Ratios</u>

sin = opposite divided by hypotenuse

cos = adjacent divided by hypotenuse

tan = opposite divided by adjacent

we need to find x and we are given its opposite side length (58) and the adjacent side length (19)

this corresponds with tangent so once again we will be using tangent to solve for x

Looking at tangent we see that its equal to opposite divided by adjacent so we create an equation

tan(x)=\frac{58}{19}\\\frac{58}{19} =3.052631579

now we have

tan(x)=3.052631579

Once again we need to get rid of the tan

to do so we take the inverse of tan ( tan^-1) and apply it to each side

arcsin^-^1(tan(x))=x\\arcsin^-^1(3.052631579)=71.86191784

finally we round to the nearest tenth

we're left with x = 71.9

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Answer:

48 different houses can be designed from these plans.

Step-by-step explanation:

There are four options:

O1 - O2 - O3 - O4

O1 is the number of different living rooms. So O1 = 3.

O2 is the number of different bedroom configurations. So O2 = 4.

O3 is the number of different garage styles. So O3 = 2.

O4 is the number of different outside configurations. So O4 = 2.

In all,

T = 3*4*2*2 = 48

48 different houses can be designed from these plans.

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2 years ago
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7 0
3 years ago
Rationalize the denominator.
AlekseyPX

Hello and Good Morning/Afternoon!

<u>Let's take this problem step-by-step</u>:

<u>What the problem asks for:</u>

  ⇒ to rationalize the denominator

      ⇒ rationalize means that you multiply the numerator and

          demonimator by the denominator

<u>Let's put that into action</u>:

    \frac{\sqrt{a +1}-2 }{\sqrt{a+1}+2 } * \frac{\sqrt{a +1}+2 }{\sqrt{a+1}+2 }\\=\frac{a +1-4 }{a+1+4\sqrt{a+1}+4  } \\=\frac{a-3}{a+4\sqrt{a+1}+5 }<== <u>Answer</u>

<u></u>

Hopefully that helps!

4 0
1 year ago
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