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zubka84 [21]
3 years ago
15

Find the cotangent of the angle in standard position in which the terminal side passes through the point (6, 8).

Mathematics
1 answer:
krok68 [10]3 years ago
3 0
Cotangent  = adjacent / opposite =  x / y  = 6/8  = 3/4

Answer 3/4
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Ratio Question;
SashulF [63]

*Given

Money of Phoebe            - 3 times as much as Andy

Money of Andy                - 2 times as much as Polly

Total money of Phoebe,  - £270

   Andy and Polly

*Solution

Let

B - Phoebe's money

A - Andy's money

L - Polly's money

1. The money of the Phoebe, Andy, and Polly, when added together would total £270. Thus,

                 B + A + L  = £270                     (EQUATION 1)

2. Phoebe has three times as much money as Andy and this is expressed as

 

                 B = 3A

3. Andy has twice as much money as Polly and this is expressed as

                 A = 2L                           (EQUATION 2)

4. This means that Phoebe has ____ as much money as Polly,

                B = 3A

                B = 3 x (2L)

                B = 6L                            (EQUATION 3)

This step allows us to eliminate the variables B and A in EQUATION 1 by expressing the equation in terms of Polly's money only.

5. Substituting B with 6L, and A with 2L, EQUATION 1 becomes,

                 6L + 2L + L = £270

                               9L = £270

                                 L = £30

So, Polly has £30.

6. Substituting L into EQUATIONS 2 and 3 would give us the values for Andy's money and Phoebe's money, respectively.

                 A = 2L                          

                 A = 2(£30)

                 A = £60

Andy has £60

                 B = 6L                        

                 B = 6(£30)

                 B = £180

Phoebe has £180

Therefore, Polly's money is £30, Andy's is £60, and Phoebe's is £180.

3 0
2 years ago
The bottom of a box is to be a rectangle with a perimeter of 36 CM. The Box must be 4 cm High. What is the maximum volume?
Amanda [17]

The maximum volume would be when the bottom of the box is a square.

The perimeter of the bottom is 36, so the side of the square would be 36/4 = 9 cm.

Then to find volume multiply the length by the width by the height:

Volume = 9 x 9 x 4 = 324 cm^3

The answer would be a.

8 0
2 years ago
Read 2 more answers
OMGGG PLZZZ HELP I'LL GIVR U A MEDAL N FAN U (the answer have to RIGHTT)
Troyanec [42]
The answer is the second one
6 0
2 years ago
Read 2 more answers
Azul went snorkeling and he noticed That is the ratio of parrotfish to clown fish what is 4:3 He saw a 20 parrot fish how many C
skelet666 [1.2K]
\frac{4}{3} = \frac{20}{?}

\frac{3 \times 20}{4} = 15
8 0
2 years ago
Which of the following phrases are equations?
geniusboy [140]

one of them is A but from how you showed me I dont really understand what you put

6 0
3 years ago
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