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3 years ago

Find the Area of the figure below, composed of a parallelogram and two semicircles. Round to the nearest tenths place.

Mathematics

1 answer:

svet-max [94.6K]3 years ago

3 0

Answer:

100.3 units²

Step-by-step explanation:

✅Find the area of the parallelogram:

Area of Parallelogram is given as base × height

base = 10

height = 5

Area of Parallelogram = 10*5 = 50

✅Next, find the area of the two semicircles:

The two semicircles = 1 circle

Area of circle = πr²

r = 8/2 = 4

Area = π*4² = 16π = 50.3 (nearest tenth)

✅Area of figure = 50 + 50.3 = 100.3 units²

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B. At the circus, three adult tickets and five child tickets cost $51, and five adult tickets

allsm [11]

Answer: x = $7, y = $6

Step-by-step explanation:

Let x be the cost of an adult ticket

Let y be the cost of a children's ticket

Translate these sentences to algebra:

At the circus, three adult tickets and five child tickets cost $51: 3x + 5y = 51

Five adult tickets and two child tickets cost $47: 5x + 2y = 47

Now we have two equations. Let's use substitution to solve.

3x + 5y = 51

3x = 51 - 5y

.: x = 17 - 5y/3

Now substitute this value of x into the second equation to find the numerical value of y:

5(17 - 5y/3) + 2y = 47

85 - 25y/3 + 2y = 47

-19y/3 = -38

-19y = -114

.: y = 6

Now find x:

x = 17 - 5y/3

x = 17 - 10

.: x = 7

So an adult ticket costs $7, and a child ticket costs $6 :)

3 0

3 years ago

It's 1880 and you've just heard that a professional bas ball team is starting in your town.would you want to be on the team or w

Oksana_A [137]

Sorry, I don't know what you would say, but to your preference, choose which you would prefer, then back your reasoning with three sentences using evidence from your personality and how the situation would work out for you. It would work out like a persuasive essay, so put a lot of effort and balance your sentences out.
Hope this helped

5 0

3 years ago

Read 2 more answers

A university is trying to determine what price to charge for tickets to football games. At a price of $ per ticket, attendance

Anika [276]

This question is incomplete, the complete question is;

A university is trying to determine what price to charge for tickets to football games. At a price of $24 per ticket, attendance averages 40,000 people per game. Every decrease of $4 adds 10,000 people to the average number. Every person at the game spends an average of $4 on concessions. What price per ticket should be charged in order to maximize revenue? How many people will attend at that price?

Answer:

a) price per ticket = $18

b) 55,000 will attend at that price

Step-by-step explanation:

Given that;

price of ticket = $24

so cost of ticket = 24 - x

every decrease of $4 adds 10,000 people

for $1 adds 2,500 people

Total people = 40000 + 2500x

Revenue function = people × cost + people × 4

R(x) = (40000 + 2500x)(24 - x) + (40000 + 2500x)4

R(x) = 960,000 - 40000x + 60000x - 2500x² + 160,000 + 10000x

R(x) = 1120000 + 30000x - 2500x²

R(x) = -2500x² + 30000x + 1120000

now for maximum revenue; R'(x) is to zero

R'(x) = d/dx( -2500x² + 30000x + 1120000 ) = 0

⇒ -5000x + 30000 + 0 = 0

⇒ -5000x + 30000 = 0

⇒ 5000x = 30000

x = 30000 / 5000

x = 6

R'(X) = -5000 < 0 ⇒ MAXIMUM

∴ Revenue is maximum at x = 6

so cost of ticket ;

price per ticket = (24 - x) = 24 - 6 = $18

so price per ticket = $18

Number of people = 40000 + 2500x

= 40000 + (2500 × 6)

= 40000 + 15,000

= 55,000

Therefore, 55,000 will attend at that price

8 0

3 years ago

Junior has 4 skittles in a bag, one is red, one is blue, one is green, and one is yellow. Junior takes a skittle out and eats it

forsale [732]

Answer:

The tree diagram is shown below.

Step-by-step explanation:

The color of the four skittles Junior had in his bag are:

S = {red (R), blue (B), green (G) and yellow (Y)}

It is provided that Junior takes a skittle out and eats it and then takes another skittle from the bag.

So, Junior has four options for the first draw, i.e. {R, B, G and Y}.

Then three options for the second draw. But the second draw is dependent on the first draw.

If Junior ate the red skittle first, then the second skittle could be any of the three, (B, G and Y).

If Junior ate the blue skittle first, then the second skittle could be any of the three, (R, G and Y).

If Junior ate the green skittle first, then the second skittle could be any of the three, (R, B and Y).

If Junior ate the yellow skittle first, then the second skittle could be any of the three, (R, B and G).

Consider the tree diagram below to better understand the information above.

6 0

3 years ago

The solution set to the inequality y<2x - 4 are shaded on the graph. Which point is a solution

BaLLatris [955]

Any set of numbers (x, y) for which this inequality is true is a solution.

For example, the point (1, -5) is a solution because fitting it into the inequality gives us

<u>- 5 < - 2</u> which is true.

However, the point (3, 5) wouldn't be a solution because it would give us the inequality

<u>5 < 2</u> which is not true.

6 0

3 years ago