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Flura [38]
3 years ago
8

(07.01 HC)

Mathematics
1 answer:
irina1246 [14]3 years ago
4 0

Answer:

Sinx = 5/13

cosy = 5/13

cosy = sinx ; they both share a proportional relationship

Step-by-step explanation:

From the attached triangle, since the triangle is right angled, we can use trigonometric functions where ;

sinx° = opposite / hypotenuse

From Pythagoras ;

Hypotenuse = √(opposite² + adjacent²)

Hypotenus = √(12² + 5²)

Hypotenus = 13

Sin x° = opposite / hypotenus = 5 / 13

Sin x° = 5/13

Cos y = adjacent / hypotenus = 5 / 13

Hence,

sinx = cosy

Therefore, they both share a proportional relationship.

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List all partitions of the set. (a) (1,2) (b) [a, b,c)
Alchen [17]

Answer: Hello mate!

The partition of a set is defined as a partition of the set into a nonempty subset, where the set itself is a subset of himself, then the set is a partition of himself.

a) in this we have a set of two objects; A = (1,2) the partitions of this set are: (∅), (1), (2) and (1,2). Where (∅) is the null set.

b) Now we have a set of three objects; B = (a,b,c) the partitions of this set are: (∅), (a), (b), (c), (a,b), (a,c), (b,c), (a,b,c)

3 0
3 years ago
Tia is making lemonade for a baseball tournament. The recipe calls for 2/3 cup of strawberries for each gallon of lemonade. She
antoniya [11.8K]

Given:

The recipe calls for \dfrac{2}{3} cup of strawberries for each gallon of lemonade.

Tia has 6 cups of strawberries.

To find:

The number of gallons of lemonade she can make.

Solution:

We have,

\dfrac{2}{3} cup of strawberries for = 1 gallon of lemonade

1 cup of strawberries for = \dfrac{1}{\frac{2}{3}} gallons of lemonade

                                        = 1\times \dfrac{3}{2} gallons of lemonade

                                       = \dfrac{3}{2} gallons of lemonade

6 cup of strawberries for = 6\times \dfrac{3}{2} gallons of lemonade

                                         = \dfrac{18}{2} gallons of lemonade

                                        = 9 gallons of lemonade

Therefore, 9 gallons of lemonade she can make by using 6 cups of strawberries.

7 0
3 years ago
I don’t really understand this
mars1129 [50]
Uhh me neither thats very complicated
7 0
3 years ago
Read 2 more answers
What is the solution to the inequality -4 x < 8?
alekssr [168]

<u>Answer:</u>

  • The solution of the inequality is x < -2.

<u>Step-by-step explanation:</u>

<u>Let's simplify the inequality first.</u>

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  • => -4x/4 < 8/4
  • => -x < 2
  • => x < -2

Hence, <u>the solution of the inequality is</u><u> x < -2.</u>

Hoped this helped.

BrainiacUser1357

6 0
2 years ago
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What is the length of the arc on a circle with radius 20 in. intercepted by a 15° angle?
AnnyKZ [126]
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6 0
3 years ago
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