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Tatiana [17]
3 years ago
11

Evaluate the function for x = –2a, if a = 3.

Mathematics
1 answer:
Snezhnost [94]3 years ago
8 0
The answer that you should get is A
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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
P(A)=.50 P(B)=.40, and P(A and B) = .15 what is P(a and B)
seropon [69]

Answer:

0.75

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Dale deposits $4000 into an account that pays simple interest at a rate of 6% per year. How much interest will he be paid in the
BartSMP [9]

Answer:

$1200

Step-by-step explanation:

$4000 x .06 = $240 x 5 years = $1200

7 0
2 years ago
A geometry class has a total of 27 students. The number of females is 13 less than the number of males. How many males and how m
Zanzabum

Answer:

20 males, 7 females

Step-by-step explanation:

x=males

x-13=females

x+x-13=27

2x-13=27

2x=40

x=20

20-13=7

6 0
2 years ago
I’ll give you bee syrup and brainliest if you help
Ilya [14]

Answer:

61.27 cm

Step-by-step explanation:

(3.14)(11)(0.5) = 17.27

2+2+20+9+11+17.27 = 61.27

5 0
3 years ago
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