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Flura [38]
2 years ago
8

(07.01 HC)

Mathematics
1 answer:
irina1246 [14]2 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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In a parking lot there are totally 70 vehicles, cars and motorcycles. all together they've got 258 wheels. how many cars are the
docker41 [41]
1 car - 4 wheels
1 motorcycle - 2 wheels

x - number of cars
y - number of motorcycles

so, there are 70 vehicles: x + y = 70
and all togeather they've got 258 wheels: 4*x + 2*y = 258
because each car has 4 wheels, so all car wheels = 4*x,
likewise 2*y for motorcycles

x + y = 70  /* 4
4 x + 2y = 258

4 x + 4 y = 280  (R1)
4 x + 2y = 258    (R2)

2y = 22  /:2      it is R1 - R2
x = 70 - y

y = 11    /motorcycles
x = 70 - 11 = 59  /cars

check:
59 + 11 = 70  ok
59 * 4 + 11 * 2 = 236 + 22 = 258  ok
5 0
3 years ago
Evaluate.
lys-0071 [83]

Answer:

  361/900

Step-by-step explanation:

  \left(-\dfrac{1}{6}+0.6\left(-\dfrac{1}{3}\right)+1\right)^2=\left(-\dfrac{1}{6}-0.2+1\right)^2\\\\=\left(1-\left(\dfrac{1}{6}+\dfrac{1}{5}\right)\right)^2=\left(1-\dfrac{5+6}{6\cdot5}\right)^2=\left(\dfrac{19}{30}\right)^2=\boxed{\dfrac{361}{900}}

8 0
2 years ago
Mike owes his friend $6. Each day, Mike earns $3 per day.
raketka [301]

Answer:

the x intercept would mean the number of days and y would mean the amount theyre making

Step-by-step explanation:

8 0
2 years ago
He drank 2 small bottles and 2 large bottles, for a total of 76 ounces. The day before, he drank 4 small bottles and 1 large bot
AVprozaik [17]

Answer: the small bottle holds 15 ounces while the large bottle holds 23 ounces.

Step-by-step explanation:

Let x represent the number of ounces that a small bottle holds.

Let y represent the number of ounces that a large bottle holds.

He drank 2 small bottles and 2 large bottles, for a total of 76 ounces. It means that

2x + 2y = 76 - - - - - - - - - - - - 1

The day before, he drank 4 small bottles and 1 large bottle, for a total of 83 ounces. This means that

4x + y = 83 - - - - - - - - - - - - -2

Multiplying equation 1 by 2 and equation 2 by 1, it becomes

4x + 4y = 152

4x + y = 83

Subtracting, it becomes

3y = 69

y = 69/3 = 23 ounces

Substituting y = 23 into equation 1, it becomes

2x + 2 × 23 = 76

2x + 46 = 76

2x = 76 - 46 = 30

x = 30/2 = 15 ounces

4 0
3 years ago
The product of 57 lies between which two whole numbers?
Zanzabum
It lies between the numbers 7 & 8
5 0
3 years ago
Read 2 more answers
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