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ipn [44]
3 years ago
14

PLEASE HELP PRE CALCULUS HELP 60 POINTS

Mathematics
1 answer:
earnstyle [38]3 years ago
7 0

Answer:

B

Step-by-step explanation:

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Swimming Pool On a certain hot​ summer's day, 143 people used the public swimming pool. The daily prices are $ 1.25 for children
kramer

Answer: 102 children and 41 adults swam at the pool that day.

Step-by-step explanation:

Let x represent the number of children that swam at the public pool that​ day.

Let y represent the number of adult that swam at the public pool that​ day.

On that certain hot​ summer's day, 143 people used the public swimming pool. It means that

x + y = 143

The daily prices are $1.25 for children and $2.25 for adults. The receipts for admission totaled $219.75. It means that

1.25x + 2.25y = 219.75- - - - - - - - -1

Substituting x = 143 - y into equation 1, it becomes

1.25(143 - y) + 2.25y = 219.75

178.75 - 1.25y + 2.25y = 219.75

- 1.25y + 2.25y = 219.75 - 178.75

y = 41

x = 143 - y = 143 - 41

x = 102

5 0
4 years ago
A runner sprinted for 468 feet (ft). How many yards (yd) is this?
Len [333]

Answer:

156 yards

Step-by-step explanation:

1 yd = 3 ft

So if 1 yd is equal to 3 ft then all you need to do is divide the amount of ft given by the amount that makes 1 yd

4 0
3 years ago
Please answer this question
Zina [86]

Answer:

y = 9.1

Step-by-step explanation:

Use the Law of sines to find y in ∆WXY, given:

m < Y = 106°

m < X = 58°

WY = x = 8

WX = y = ?

Therefore,

\frac{y}{sin(Y)} = \frac{x}{sin(X)}

\frac{y}{sin(106)} = \frac{8}{sin(58)}

\frac{y}{0.961} = \frac{8}{0.848}

\frac{y}{0.961} = 9.434

Multiply both sides by 0.961 to solve for y

\frac{y*0.961}{0.961} = 9.434*0.961

y = 9.434*0.961

y = 9.1 (to nearest tenth)

4 0
3 years ago
Find the area of a rhombus with side length 6 and an interior angle with measure $120^\circ$.
Serhud [2]

Answer:

The area of a rhombus is 18\sqrt{3} square units.

Step-by-step explanation:

Side length of rhombus = 6 units.

Interior angle of rhombus = 120°

another Interior angle of rhombus = 180°-120° = 60°.

Draw an altitude.

In a right angled triangle

\sin \theta=\frac{opposite}{hypotenuse}

\sin (60)=\frac{h}{6}

\frac{\sqrt{3}}{2}=\frac{h}{6}

Multiply both sides by 6.

3\sqrt{3}=h

The height of the rhombus is 3\sqrt{3}.

Area of a rhombus is

Area=base\times height

Area=6\times 3\sqrt{3}

Area=18\sqrt{3}

Therefore, the area of a rhombus is 18\sqrt{3} square units.

8 0
3 years ago
Read 2 more answers
What is the rate of change of the function?<br> -2<br> -1/2<br> 1/2<br> 2
sergij07 [2.7K]

Answer:

-2/1

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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