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3 years ago

Use the net to compute the surface area of the three-dimensional figure.

Mathematics

1 answer:

Zarrin [17]3 years ago

7 0

Answer:

62 units^2

Step-by-step explanation:

The surface area of the prism is the area of the net. It consists of a vertical rectangle 3 units wide and 14 units high, which has an area of ...

(3 units)(14 units) = 42 units^2

and two "wings" that are each 5 units wide and 2 units high, so have an area of ...

(2)(5 units)(2 units) = 20 units^2

Then the total surface area is ...

42 units^2 +20 units^2 = 62 units^2

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Write a system of equations and then solve by the method of your choice. Reserved seat tickets for the football game cost $4.00

amid [387]

Given :

Reserved seat tickets for the football game cost $4.00 each and general admission tickets cost $3.00 each.

After the game is over, the turnstile count shows 1787 people attended the game. The total receipts were $5792.

To Find :

The number of each general admission tickets sold.

Solution :

Let, general admission are x.

So, Reserved seat tickets will be 1787 - x.

Now, total amount T = 3x + 4( 1787 - x )

T = $5792

3x + 4( 1787 - x ) = $5792

-x + 7148 = 5792

x = 1356

Therefore, the number of each general admission tickets sold are 1356.

Hence, this is the required solution.

7 0

3 years ago

Greece has 12 sweets and she eat quarter of them.How many sweet She has left ?

Lunna [17]

Answer:

3 also greece needs to chill on the sweets

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

What is the value of the expression –5x4 when x = –2?

igomit [66]

It is definitely c, 80

4 0

3 years ago

A certain new type of business succeeds 60% of the time. Suppose that 3 such businesses open (where they do not compete with eac

ella [17]

Answer:

0.216

Step-by-step explanation:

Given that a certain new type of business succeeds 60% of the time.

3 such businesses are tested for success.

Since these three businesses open (where they do not compete with each other, so it is reasonable to believe that their relative successes would be independent). we can say X no of successful businesses is Binomial

with p = 0.6 and n =3

Required probability

=The probability that all 3 businesses succeed is:

= $P(X=3)\\= 0.6^3\\= 0.216$

8 0

3 years ago

Car Wash A theater group is having a carwash fundraiser. The liquid soap costs $31 and is enough to wash 40 cars. Each car is ch

zheka24 [161]

Answer:

A) Independent variable is "c"

Dependent variable is "p"

B) Yes, it's a function

C) p = 7c - 31

D)domain of the function: 0 ≤ c ≤ 40

Range of the function: 0 ≤ p ≤ 249

Step-by-step explanation:

A) c is the total number of cars washed and p is the profit. The profit depends on the total number of cars washed. Hence, profit(p) is the dependent variable while "c" is independent variable

B) Yes it's a function because for each number of cars washed, there is a distinct value of profit made.

C) We are told that the liquid soap costs $31 and is enough to wash 40 cars. Each car is charged 7$.

$31 is cost to wash one car. Thus profit made per car is;

p = 7c - 31

D) The cost of $31 liquid soap is enough to only wash a maximum of 40 cars. This means the domain for the cars is from 0 cars to 40 cars

Thus;

domain of the function is 0 ≤ c ≤ 40

The profit function is given in answer C above as p = 7c - 31.

Now, if 0 cars are washed they will make zero profit but if 40 cars are washed then;

p = 7(40) - 31

p = 280 - 31

p = 249

Range of the function: 0 ≤ p ≤ 249

8 0

2 years ago