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Aliun [14]
3 years ago
5

Sin78 ×cos42+cos78×sin42 evaluate without the use of a calculator

Mathematics
1 answer:
Novay_Z [31]3 years ago
4 0
Sin a * cos b + cos a * sin b=sin (a+b)

sin 78 * cos 42 + cos 78* sin 42=sin (78+42)=sin 120=sin(180-120)=
sin 60=√3 / 2

Answer: sin 78 * cos 42 + cos 78* sin 42=<span>√3 / 2</span>
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Please help me solve this!!
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Answer:

∠G = 62

Step-by-step explanation:

Because Figure GHIJ is a Parallelogram, angle G and H are supplementary, which means that together, they add up to 180, so 180 - 118 = 62

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4 years ago
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vichka [17]

Measurement of angle DEF would equal 180 because 71 plus 109 is 180

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A taxi charges $2 for the first fifth of a mile and $0.25 for each additional fifth of a mile. What is the cost of a 2-mile ride
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The measures of two supplementary angles are (2x – 8)° and (3x - 2)°. What is the measure of the
saw5 [17]

Answer:

68°

Step-by-step explanation:

Here,

  • Two supplementary angles are (2x – 8)° and (3x - 2)°.

As we know that the sum of two supplementary angles are 180°. So,

→ (2x – 8)° + (3x – 2)° = 180°

→ 2x° – 8° + 3x° – 2° = 180°

→ 5x° – 10° = 180°

→ 5x° = 180° + 10°

→ 5x° = 190°

→ x = 190° ÷ 5°

→ <u>x</u><u> </u><u>=</u><u> </u><u>3</u><u>8</u><u>°</u>

Supplementary angles are,

  • 1st angle = (2x – 8)°

→ 2(38°) – 8

→ (76 – 8)°

→ 68°

  • 2nd angle = (3x – 2)°

→ 3(38°) – 2

→ (114 – 2)°

→ 112°

Therefore, the measure of the smaller angle is 68°.

4 0
3 years ago
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Aliun [14]

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T = 3

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