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dolphi86 [110]
3 years ago
10

Write the expression as the sine, cosine, or tangent of an angle. (6 points) cos 94° cos 37° + sin 94° sin 37°

Mathematics
2 answers:
klasskru [66]3 years ago
4 0

Answer:

cos57 = 0.5446

sin57 = 0.8387

tan57 = 1.5399

Step-by-step explanation:

Given

cos 94\° cos 37\° + sin 94\° sin 37\°

Required

Determine the

<em>- sin</em>

<em>- cosine</em>

<em>- tangent</em>

of an angle

The given expression can be represented as follows;

cosAcosB + sinAsinB

Where A = 94 and B = 37

In trigonometry:

cosAcosB + sinAsinB = cos(A - B)

Substitute 94 for A and 37 for B

cos(A - B) = cos(94 - 37)

cos(A - B) = cos(57)

Hence, the angle is 57;

<em>Since 57 is not a special angle; I'll solve using a calculator</em>

cos57 = 0.5446

sin57 = 0.8387

tan57 = 1.5399

Verdich [7]3 years ago
4 0

Answer:

Step-by-step explanation:

Given

Required

Determine the

- sin

- cosine

- tangent

of an angle

The given expression can be represented as follows;

Where A = 94 and B = 37

In trigonometry:

Substitute 94 for A and 37 for B

Hence, the angle is 57;

Since 57 is not a special angle; I'll solve using a calculator

Step-by-step explanation:

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The ratio of buckets of yellow paint to buckets of red paint in the store is 3 to 4. There are 60 buckets of yellow paint. How m
morpeh [17]

Answer:

80 buckets of red paint

Step-by-step explanation:

Given

The ratio of buckets of yellow paint to buckets of red paint in the store to be 3:4

Total ratio = 3 + 4 = 7

Amount of yellow paint = 60

Required

Amount of red paint.

First get the total amount of paint used.

3/7 * x = 60

x is the total paint used

3x/7 = 60

3x = 7*60

x = 420/3

x = 140 buckets of paint

Amount of red paint = Total - Amount of yellow paint

Amount of red paint = 140 - 60

Amount of red paint = 80

Hence there are 80 buckets of red paint in the store

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3 years ago
In AABC, mZA=x, mZB = 2x +2, and
AnnyKZ [126]

Answer:

x = 29

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 given angles and equate to 180

x + 2x + 2 + 3x + 4 = 180, that is

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Answer:

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Step-by-step explanation:

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Mrs. Chip bought 2 sheets and a blanket and paid $41. Mrs. Dale bought a sheet and 4 blankets and paid $80.
Katyanochek1 [597]

Answer:

  • Sheet = $12
  • Blanket = $17

Step-by-step explanation:

<u>Let the cost of a sheet be s and cost of a blanket be b</u>

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<u>From the first equation we get:</u>

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<u>Substitute in the second equation</u>

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<u>Then</u>

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