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Ilia_Sergeevich [38]
3 years ago
5

OKAY I NEED SOMEONE SMART TO HELP ME

Mathematics
1 answer:
Contact [7]3 years ago
3 0
B. A deposit of $278 followed by a withdrawal of $278
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I just need no. a please help me to prove this. ​
OleMash [197]

Answer:  see proof below

<u>Step-by-step explanation:</u>

Given: A + B + C = π    and         cos A = cos B · cos C

scratchwork:

  A + B + C = π

               A = π - (B + C)

         cos A = cos [π - (B + C)]                              Apply cos

                    = - cos (B + C)                                    Simplify

                    = -(cos B · cos C - sin B · sin C)          Sum Identity

                    = sin B · sin C - cos B · cos C               Simplify

cos B · cos C = sin B · sin C - cos B · cos C               Substitution

2cos B · cos C = sin B · sin C                                        Addition

                     2=\dfrac{\sin B\cdot \sin C}{\cos B \cdot \cos C}                                     Division

                     2 = tan B · tan C

\text{Use the Sum Identity:}\quad \tan(B+C)=\dfrac{\tan B+\tan C}{1-\tan B\cdot \tan C}

<u>Proof LHS → RHS</u>

Given:                              A + B + C = π

Subtraction:                     A = π - (B + C)

Apply tan:                  tan A = tan(π - (B + C))

Simplify:                               = - tan (B + C)

\text{Sum Identity:}\qquad \qquad \qquad =-\bigg(\dfrac{\tan B+\tan C}{1-\tan B\cdot \tan C}\bigg)

Substitution:                        = -(tan B + tan C)/(1 - 2)

Simplify:                               = -(tan B + tan C)/-1

                                            = tan B + tan C

LHS = RHS:   tan B + tan C = tan B + tan C  \checkmark

5 0
2 years ago
Samuel saved some money for a new phone, but then he spent $24 of his savings on a
Goryan [66]

Answer:

213$

Step-by-step explanation:

24$ on headphones

189$ left

so you add the use and what is left an u get 213$ do not forget to write $ when u are finished :)

4 0
2 years ago
The sum of two numbers is 12 and their difference is 4. What are the two<br> numbers?
guapka [62]

Answer:

<u>8 and 4</u>

Step-by-step explanation:

8 + 4 = 12

8 - 4 = 4

4 0
3 years ago
Read 2 more answers
What is -4 - (8) More text
son4ous [18]

Answer:

-12

Step-by-step explanation:

(-4) - 8

Keep Flip Change

Keep

(-4)

Flip

- to +

Change to opposite

8 to -8

Result

-4 + -8 = -12

5 0
2 years ago
Read 2 more answers
Picture included please help
saul85 [17]
What is the question?
3 0
3 years ago
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