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Law Incorporation [45]
2 years ago
12

Cos2a.cos3a-cos2a.cos7a/sin4a.sin3a-sin2a.sin5a ​

Mathematics
1 answer:
Dmitrij [34]2 years ago
5 0

Answer is -28.37

Step-by-step explanation:

from the numerator cos 2a×cos 3a - cos 2a×cos7a= cos6a^2 -cos 14a^2

= -cos8a^2 for the numerator

from the denominator;

sin4a×sin3a-sin2a×sin5a= sin12a^2 -sin10a^2

= sin2a^2

therefore, combining the equation it gives; -cos8a^2/sin2a^2

a^2 will divide each other,

= -cos8/sin2.

from the calculator,

= - 0.9903/0.0349

= -28.37

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The organizers of a fair projected a 25 percent increase in attendance this year over that of last year, but attendance this yea
ch4aika [34]

Answer:

The correct option is C

Step-by-step explanation:

The organizers of a fair projected a 25 percent increase in attendance this year over that of last year

Let x = the attendance for last year

The projected attendance for this year would be last year's attendance + 25% of last year's attendance. This means

Projected attendance for this year

= x + 25/100 × x

= x + 0.25x = 1.25x

But attendance for this year actually decreased by 20 percent.

This means the actual attendance for this year would be

attendance for last year - 20% of attendance for last year. This means

Actual attendance for this year is

x - 20/100 × x

= x - 0.2x = 0.8x

percentage of the projected attendance that was the actual attendance would be

0.8x / 1.25x × 100 = 0.64 × 100

= 64%

The correct option is C

7 0
2 years ago
The price of a box of 15 cloud markers is $12.70. The price of a box of 42 cloud markers is $31.60. All prices are without tax,
stich3 [128]

Answer:  

Here, The price of one box having N markers = Price of N markers + packaging charge

Let M be the price of one Marker and P' be the price of packaging of one box which is same for any size.

Since, The price of a box of 15 cloud markers is $12.70.

That is , 15 M + P' = 12.70 ---------(1)

Also,  The price of a box of 42 cloud markers is $31.60,

That is, 42 M + P' = 31.60 ---------(2),

Equation (2) - Equation (1),

27 M = 18.90,

⇒ M = 0.7

By putting the value of P in equation (1),

We get,

10.5 + P' = 12.70 ⇒ P' = 2.2,

Thus, the price of one marker, M = 0.7

And, the price of packaging one box, P' = 2.2

Thus, the price of a box of 50 marker = 50 × M + P' = 50×0.7 + 2.2 = 35 + 2.2 = $ 37.2

And, the equation that shows the price(P) of a box of N markers,

P = 0.7 N + 2.2

3 0
2 years ago
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A retail company has 50 large stores located in different areas throughout a state. A researcher
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2 years ago
D'Naisa mixed her favorite shade of orange paint. She had 111 gallon of orange paint and added 222 quarts of yellow paint and 33
natka813 [3]

Answer:

7.5 Quarts

Step-by-step explanation:

D'Naisa mixed the following:

  • 1 gallon of orange paint
  • 2 quarts of yellow paint
  • 3 pints of red paint.

We are to determine in total, the number of quarts of paint that she mixed. this is done by converting each of the volume to quart.

<u>1 gallon of orange paint</u>

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<u>3 pints of red paint.</u>

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Therefore,

Total Volume of Paint Mixed in quart= Volume of Orange+Yellow+Red

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2 years ago
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igor_vitrenko [27]

Answer:

mCEA = 90ᴼ because CEA is a right angle, and right angles have 90ᴼ measures.

CEF is a straight angle because there are two 90ᴼ angles (CEA and AEF) and therefore there is 180ᴼ in total. A straight line has a measure of 180ᴼ.

AEF is a right angle because if CEA is a right angle and CEF is a straight line, then AEF has to be a right angle.

4 0
2 years ago
Read 2 more answers
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