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Afina-wow [57]
3 years ago
8

Express Using Algebra

Mathematics
2 answers:
dedylja [7]3 years ago
8 0

Answer:

(P-12)/2 = L

Step-by-step explanation:

1. Start off with an equation in terms of perimeter

P = (2)(6) + (2)(L)

2. Multiply the two and the six

P = 12+ (2)(L)

3. Move the terms around so only "L" is on one side

(P-12)/2 = L

hope this helped :)

AfilCa [17]3 years ago
6 0

Answer:

l = P/2 - 6

Step-by-step explanation:

The perimeter of a rectangle is 2*length + 2* width, or 2l + 2w.

So, the equation is P = 2l + 2*6. This simplifies to P = 2l + 12.

To isolate l, you subtract 12 from both sides, and divide both sides by 2.

This will look like l = \frac{P}{2} - 6.

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saveliy_v [14]

Answer:

\begin{gathered} \alpha=\text{ 40\degree} \\ \beta=\text{ 70\degree} \\ a=68.4 \end{gathered}

Step-by-step explanation:

By the theorem of intern angles of a triangle, we know that the sum of all intern angles of a triangle must be 180°, therefore:

*There are two equal angles because there are two equal sides

\begin{gathered} \alpha=180-70-70 \\ \alpha=\text{ 40\degree} \\ \beta=\text{ 70\degree} \end{gathered}

Now, applying the law of sines, we can find side a. The law of sines is represented by the following equation:

\frac{a}{\sin \alpha}=\frac{b}{\sin \beta}

Hence, if b=100, alpha=40° and betha=70°, solve for a:

\begin{gathered} \frac{a}{\sin (40)}=\frac{100}{\sin (70)} \\ a=\frac{100\cdot\sin (40)}{\sin (70)} \\ a=\text{ 68.4} \end{gathered}

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<h3>0</h3>

Step-by-step explanation:

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