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makkiz [27]
3 years ago
11

Show that cos 30 degree + sin 60 degree / 1+ sin 30 degree + cos 60 degree is equal to cos 30 degree​

Mathematics
1 answer:
Soloha48 [4]3 years ago
5 0

Answer:

cos 30

Step-by-step explanation:

cos 30 + sin 60 / 1+ sin 30 + cos 60

= root3 / 2 + root3/2 / 1 + 1/2 + 1/2

= root 6/2 by 4/2

= root 6/4

= root 3/2

= cos 30

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Calculate the averages for each category for the three-month period. category jan. feb. mar. average wages $2,100.00 $2,300.00 $
yan [13]
The averages for each category can be calculated by taking the sum of the values and dividing by the number of values .                             
                                 Jan                           Feb                          March
1) 
wages                    <span>$2,100.00                $2,300.00                $2,000.00
sum of the values = 2100 + 2300 + 2000 = 6400
number of values = 3
average = 6400/3 = $ 2133.33
</span><span>2)
donations                  $210.00                   $230.00                   $200.00
</span><span>average = (210 + 230 + 200)/3 
              = $ 213.33
3)
mortgage                   $590.50                   $590.50                  $590.50
</span><span>average = ( 590.50 + 590.50 + 590.50)/3 
              = $ 590.50
4)
electricity                   $101.25                     $89.75                     $80.00 
</span><span>average = (101.25 + 89.75 + 80.00)/3
              = 271/3
              = $ 90.33
5)
water                           $20.10                     $22.30                     $24.55
</span><span>average = (20.10 + 22.30 + 24.55)/3
              = 66.95/3
              = $ 22.32
6)
car loan                     $172.54                   $172.54                   $172.54
</span><span>average = (172.54 + 172.54 + 172.54)/3
              = $ 172.54
7)
food                           $200.25                   $220.70                   $205.50 
</span><span>average = (200.25 + 220.70 + 205.50)/3 
              = $ 208.82
8)
insurance                  $310.50                        $0.00                       $0.00
</span><span>average = ( 310.50 + 0.00 + 0.00)/3
              = $ 103.50
9)
clothes                          $0.00                        $0.00                     $75.00
average = (0.00 + 0.00 + 75.00)/3 
              = $ 25.00
</span><span>10)
car license fee              $0.00                    $120.90                       $0.00
average = (0.00 + 120.90 + 0.00)/3
              = $ 40.30
</span><span>11)
newspaper                    $0.00                        $0.00                     $45.00 
average = (0.00 + 0.00 + 45.00)/3
              = $ 15.00
</span><span>12)</span><span>movies                        $18.00                        $0.00                     $36.00 
average = (18 + 0.00 + 36.0)/3
              = $ 18.00
</span><span>13)
new car                     $100.00                    $100.00                   $100.00
average = (100 + 100 + 100)/3
              = $ 100.00
</span><span>14)
gasoline                      $80.00                      $70.00                     $75.00
average  = (80.00 + 70.00 + 75.00)
               = $ 75.00
</span><span>15)
car repairs                     $0.00                    $119.00                       $0.00
average = (0.00 + 119.0 + 0)/3
              = $ 39.67
</span><span>16)
miscellaneous             $64.50                      $59.25                     $72.50
average = (64.50 + 59.25 + 72.50)/3
              = 196.25/3
              = $ 65.42
</span><span>17)
savings                      $140.00                    $140.00                   $140.00
</span>average = ( 140 + 140 + 140)/3
              = $ 140.00
 
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3 years ago
Write the following as a decimal, use repeating decimals when necessary 6/11
STatiana [176]

Answer:

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Step-by-step explanation:

I used my calculator for it I am terribly sorry if it's wrong

3 0
3 years ago
Asphere has a diameter of 20 ft What is its surface area?<br> The surface area of the sphere is?
Snowcat [4.5K]

Answer:

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Step-by-step explanation:

20 ÷ 2 = 10

4πr²

4 × 3.14 × 10²

4 × 3.14 × 100

4 × 314

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8 0
3 years ago
Please help me with this
ElenaW [278]

Answer: a=4, b=-8, c=-3

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The standard form is ax^2+bx+c.

A is the number before x^2 (4). B is the number before x, and since it's subtracted it's negative (-8). C is the last number, and since it's subtracted it's negative (-3).

7 0
3 years ago
What is the difference between the number of solutions for a two-step equation and for a two-step inequality
Sophie [7]

Answer:

A two-step equation is something like:

A*X + B = C

In this case, like in a linear equation, we have only one solution that can be found as:

A*X = C - B

X = (C - B)/A

In the case of a two-step inequality, we have something like:

A*X + B > C

Solving this we get;

A*X >  C - B

X > (C - B)/A

In this case, any value of X that is larger than  (C - B)/A is a solution, so in this case, we have infinite solutions.

That is the difference between the number of solutions for each case, in a two-step equation we have only one, while in the case of the inequality we have infinite.

7 0
2 years ago
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