How long is each wire?

Mathematics

1 answer:

Yanka [14]3 years ago

6 0

Answer:

Its 50 feet. You only have to read the bottom

Step-by-step explanation:

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<img src="https://tex.z-dn.net/?f=9%20-%203%20%20%5Cdiv%20%20%5Cfrac%7B1%7D%7B3%7D%20%20%2B%201" id="TexFormula1" title="9 - 3

Sveta_85 [38]

Given:

The expression is

$9-3\div \dfrac{1}{3}+1$

To find:

The value of given expression.

Solution:

We have,

$9-3\div \dfrac{1}{3}+1$

BODMAS : Bracket, Order, Division, Multiplication, Addition, and Subtraction.

Using BODMAS, first we need to perform division in the given expression.

$=9-(3\div \dfrac{1}{3})+1$

$=9-(3\times 3)+1$

$=9-9+1$

Now, apply addition.

$=(9+1)-9$

$=10-9$

Now, apply subtraction.

$=1$

Therefore, the value of given expression is 1.

3 0

3 years ago

Please help me!!!!!

Bas_tet [7]

Answer: see proof below

Step-by-step explanation:

Use the Sum & Difference Identity: tan (A - B) = (tanA - tanB)/(1 + tanA tanB)

Use the Half-Angle Identity: tan (A/2) = (1 - cosA)/(sinA)

Use the Unit Circle to evaluate tan (π/4) = 1

Use Pythagorean Identity: cos²A + sin²A = 1

Proof LHS → RHS

$\text{Given:}\qquad \qquad \qquad\dfrac{2\tan\bigg(\dfrac{\pi}{4}-\dfrac{A}{2}\bigg)}{1+\tan^2\bigg(\dfrac{\pi}{4}-\dfrac{A}{2}\bigg)}$

$\text{Difference Identity:}\qquad \dfrac{2 \bigg( \frac{\tan\frac{\pi}{4}-\tan\frac{A}{2}}{1+\tan\frac{\pi}{4}\cdot \tan\frac{A}{2}}\bigg)}{1+ \bigg( \frac{\tan\frac{\pi}{4}-\tan\frac{A}{2}}{1+\tan\frac{\pi}{4}\cdot \tan\frac{A}{2}}\bigg)^2}$

$\text{Substitute:}\qquad \qquad \dfrac{2 \bigg( \frac{1-\tan\frac{A}{2}}{1+\tan\frac{A}{2}}\bigg)}{1+ \bigg( \frac{1-\tan\frac{A}{2}}{1+\tan\frac{A}{2}}\bigg)^2}$