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kupik [55]
3 years ago
14

Please help me........​

Mathematics
1 answer:
Alenkasestr [34]3 years ago
8 0

Answer:  see proof below

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

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

Scratchwork:

tan (50) = tan (40 + 10)

             = \dfrac{\tan 40+\tan 10}{1-\tan 40\cdot \tan 10}

tan 50 (1 - tan 40 · tan 10) = tan 40 + tan 10

tan 50 - tan 50 · tan 40 · tan 10 = tan 40 + tan 10

tan 50 = tan 40 + tan 10 + tan 50 · tan 40 · tan 10

Use the Reciprocal Identity: cot A = 1/ tan --> cot A · tan A = 1

<u>Proof LHS → RHS</u>

LHS:                           tan 50    - tan 40

Substitute tan 50:     tan 40 + tan 10 + (tan 50 · tan 40) · tan 10     - tan 40

Simplify:                     tan 10 + (tan 50 · tan 40) · tan 10

Reciprocal Identity:   tan 10 + tan 10

Simplify:                    2 tan 10

LHS = RHS:  2 tan 10 = 2 tan 10    \checkmark

     

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Whats 15-b=4b-5(5-3)
Gala2k [10]

15-b=4b-5(5-3)

Multiply the bracket by -5

(-5)(5)=-25

(-5)(-3)=15

15-b=4b-25+15

15-b=4b-10

Move 15 to the other side

Sign changes from +15 to -15

15-15-b=4b-10-15

-b=4b-25

Move 4b to the other side.

-b-4b=4b-4b-25

-b-4b=-25

-5b=-25

divide both sides by -5

-5b/-5=-25/-5

Answer: b=5

5 0
3 years ago
Ellie earns money by raking leaves. She earns $2.25 for each bag she fills with leaves. This week, she earns $24,75. How many ba
Pepsi [2]

Answer:

she raked 11 bags of leaves

Step-by-step explanation:

24.75 divided by 2.25= 11

8 0
2 years ago
Please answer! explain the last one
masha68 [24]

If Nick starts with 20, we can just plug it into p/2 - 12 to get 10-12 or -2. This means Nick did not get 20 cards. Now we have answered both. Two-liner!

8 0
3 years ago
the high school debate team is developing a logo to represent their club. A scale drawing of the logo design is presented below,
Fantom [35]

Answer:

The enlargement will be 25 times and the enlargement area will be $2250 \text{ inches}^2$.

Step-by-step explanation:

It is given that each grid unit is equal to 3 inches. SO we have to use this scale.

The total height of the scale drawing is 21 inch and the enlargement has a height given as 105 inches. Therefore it has scale factor of 5. It means that each dimension is enlarged by 5 times the dimension in the scale drawing. So the enlargement of the logo will be 25 times and the enlargement area will be 2250 square inches.

7 0
2 years ago
Helpppp asap please!!!!
OLga [1]

Answer:

   Angle at x is 75°

Step-by-step explanation:

Data :

  Angle at A = 65°

  Angle at B = 40°

According to  the porperty of triangle we know that total interior angle a triangle has is 180° irrespect of type or size

              A + B + C = 180

      65 + 40 + C = 180

        C = 180 - 65 - 40 = 75°

Mark brainliest if you understand

3 0
2 years ago
Read 2 more answers
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