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2 years ago

A pool is comprised of a rectangle with 2 semicircles on the ends.

Mathematics

2 answers:

pychu [463]2 years ago

6 0

Answer:

Step-by-step explanation:

The formula for determining the area of a rectangle is expressed as

Area = length × width

Length = 100 m

Width = 52 m

Area of rectangle = 100 × 52 = 5200 m²

A semicircle is half of a circle

The formula for determining the area of a semicircle is

Area = 1/2 × πr²

Diameter = 52 m

Radius = diameter/2 = 52/2

Radius = 26 m

The area of each semicircle is

1/2 × 3.14 × 26² = 1061.32 m²

The area of the surface of the pool is

1061.32 + 1061.32 + 5200 = 7322.64 m²

lys-0071 [83]2 years ago

5 0

Answer:

5200

1061

7322

hope this help

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The revenue each season from tickets at the theme part is represented by t(x) = 5x. The cost to pay the employees each season is

Over [174]

Answer: D. 15

Step-by-step explanation:

Given : The revenue each season from tickets at the theme part is represented by $t(x) = 5x$ .

The cost to pay the employees each season is represented by $r(x) = (1.5)x$ .

From the given graph , we can see that at 4th season, the profit = 15

Hence, the estimated profit after four seasons. =15

8 0

1 year ago

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

Romashka-Z-Leto [24]

Answer:

$\dfrac{15}{2}$

Step-by-step explanation:

The diagram shows right triangle with hypotenuse of 15 units and angle of 30°. This angle is opposite to the leg with length of x units.

In the right triangle, the leg opposite to the 30° angle is half of the hypotenuse, so

$x=\dfrac{15}{2}\ units$

4 0

1 year ago

a motor boat traveled 18 miles down a river in 2 hours but took 4.5 hours to return upstream. Find the rate of the motor boat in

tangare [24]

Answer:

rate of the boat in still water = 6.5 miles / hour

rate of the current = 2.5 miles / hour.

Explanation:

1) Name the two variables:

c: rate of the current

b: rate of the boat in still water:

With that, the net rates of the boat down the river and upstrean are:

down the river: b + c

upstream: b - c

2) Now set the equations for the distance as a function of the times and the rates:

distance = rate × time

downstream: 18 miles = (b + c) × 2 hours

upstream: 18 miles = (b - c) × 4.5 hours

3) Set the system of equations:

18 = 2(b + c) ⇒ 9 = b + c . . . Equation (1)

18 = 4.5 (b - c) ⇒ 4 = b - c . . . Equation (2)

4) Solve the system by elimination:

Add equations (1) and (2): 9 + 4 = 2b

Divide both sides by 2: 13/2 = b

Simplify: b = 6.5

Replace b with 6.5 in equation (2) and solve:

4 = 6.5 - c ⇒ c = 6.5 - 4 = 2.5

5) Results:

b = rate of the boat in still water = 6.5 miles / hour

c = rate of the current = 2.5 miles / hour.

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1 year ago

Read 2 more answers

ali is cutting a circular pizza into serving sized sections he uses a long knife to be sure that he cut he makes in the pizza ar

erik [133]

Answer:

1. Ali makes three straight long cuts along the diameter of the pizza.

2. Ali makes two straight long cuts along the diameter of the pizza.

Step-by-step explanation:

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1 year ago

For the equation ae^ct=d, solve for the variable t in terms of a,c, and d. Express your answer in terms of the natural logarithm

saveliy_v [14]

We have been given an equation $ae^{ct}=d$ . We are asked to solve the equation for t.

First of all, we will divide both sides of equation by a.

$\frac{ae^{ct}}{a}=\frac{d}{a}$

$e^{ct}=\frac{d}{a}$

Now we will take natural log on both sides.

$\text{ln}(e^{ct})=\text{ln}(\frac{d}{a})$

Using natural log property $\text{ln}(a^b)=b\cdot \text{ln}(a)$ , we will get:

$ct\cdot \text{ln}(e)=\text{ln}(\frac{d}{a})$

We know that $\text{ln}(e)=1$ , so we will get:

$ct\cdot 1=\text{ln}(\frac{d}{a})$

$ct=\text{ln}(\frac{d}{a})$

Now we will divide both sides by c as:

$\frac{ct}{c}=\frac{\text{ln}(\frac{d}{a})}{c}$

$t=\frac{\text{ln}(\frac{d}{a})}{c}$

Therefore, our solution would be $t=\frac{\text{ln}(\frac{d}{a})}{c}$ .

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