The composite figure is made up of a triangle, a square, and a trapezoid. Find the area.
The composite figure is made up of a triangle, a - 1

Answers

Answer 1
Answer:

The area of the composite figure is 57 square units.

What is the area of a triangle?

The area of a triangle is the half of the product of the base and the height of the triangle.

What is the area of a square?

The area of a square is the square of the side length of the square.

What is the area of a trapezoid?

The area of a trapezoid is the half of the product of the sum of the parallel sides and the height of it.

Given, the base of the triangle is 4 units and height is 3 units.

Therefore, the area of the triangle is

= (1)/(2)(base)(height)

= (1)/(2)(4)(3) square units

= 6 square units

The square has a side length of 4 units.

Therefore, the area of the square is

= 4^(2) square units

= 16 square units

The trapezoid has a height of 5 units and two parallel sides of 6 units and 8 units.

Therefore, the area of the trapezoid is

= (1)/(2)(height)× (sum of the parallel sides)

= (1)/(2)(6 + 8)(5) square units

= 35 square units

Therefore, the area of the composite figure

= (6 + 16 + 35) square units

= 57 square units

Learn more about the area of a triangle, square and trapezoid here: brainly.com/question/15880803

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Answer 2
Answer:

Answer by JKismyhusbandbae: The answer is 49.

You wanna calculate the triangle and trapezoid and the square separately and add all the them together.


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Answers

Angle ABC = half arc (ac)
2 * (4x - 3.5) = (4x + 17)
8x -7.0 = 4x + 17
4x = 24
x = 6
Angle ABC (4x -3.5) = 24 - 3.5 = 20.5

Arc AC = (4x + 17) = 24 + 17
Arc AC = 41

A bicycle shop repaired 40 bicycles in 8 days. What was the rate of work?

A.


B.


C.


D.

Answers

40÷8= 5
they repaired on average 5 bikes per day
The bike shop repairs 40/8=5 bicycles per day, on average.

Movie tickets cost $6 for a child and $10 for an adult. A showing of a movie brought in $600 in ticket sales.

Answers

Answer:

Step-by-step explanation:

To find the number of child and adult tickets sold, we can use algebraic equations. Let's assume the number of child tickets sold is 'c' and the number of adult tickets sold is 'a'.

Given information:

Cost of child ticket: $6

Cost of adult ticket: $10

Total ticket sales: $600

1. Set up the equation for the total ticket sales:

6c + 10a = 600

2. We need to find a combination of 'c' and 'a' that satisfies this equation.

- Option 1: Let's assume all tickets sold were child tickets.

In this case, the equation becomes:

6c + 10(0) = 600

Simplifying, we get:

6c = 600

Solving for 'c':

c = 100

So, if all tickets were child tickets, 100 child tickets were sold.

- Option 2: Let's assume all tickets sold were adult tickets.

In this case, the equation becomes:

6(0) + 10a = 600

Simplifying, we get:

10a = 600

Solving for 'a':

a = 60

So, if all tickets were adult tickets, 60 adult tickets were sold.

- Option 3: Let's assume there were a combination of child and adult tickets sold.

We can try different values for 'c' and solve for 'a'.

For example, if we assume 'c' to be 50, the equation becomes:

6(50) + 10a = 600

Simplifying, we get:

300 + 10a = 600

Solving for 'a':

10a = 300

a = 30

So, if 50 child tickets and 30 adult tickets were sold, the equation is satisfied.

Therefore, there are multiple possible combinations of child and adult tickets sold that could result in $600 in ticket sales. The options are:

- 100 child tickets

- 60 adult tickets

- 50 child tickets and 30 adult tickets.

The ratio of apples to bananas in a bowl of fruit is 2 to3. If there are 12 apples in the bowl, then how many
bananas are there?

Answers

We know that the ratio of apples to bananas is 2 to 3, which can also be written as 2/3.

Let's use a proportion to solve for the number of bananas:

2/3 = 12/x

Here, x represents the number of bananas in the bowl.

To solve for x, we can cross-multiply:

2x = 3 * 12

2x = 36

x = 18

Therefore, there are 18 bananas in the bowl.

Answer:

18 bananas

Step-by-step explanation:

for every 2 apples, there are 3 bananas.

So, if there are 12 apples then the original ratio of number of apples is being multiplied by 6

To prove this, 2 is the original ratio of apples and when 2 is multiplied by 6, you get 12 apples

To ensure the ratio of apples to bananas is the same, you multiply the original ratio of bananas by 3 as well. This leaves us with 18 bananas for every 12 apples (3*6 = 18)

To check if you are correct, you divide both the number of apples and the number of bananas by 6 and you get the original ratio, 2 to 3.

The ratio is essentially the same throughout except when you increase it by a constant ratio, it is no longer simplified but it is the same.

I tried explaining this the best I could and I really hope this made sense and helped!

The expression 3r - 6 can be written as _____.

Answers

3r - 6

It can be written as:-

3(r - 2)

Answer: 3(r - 2)
3r - 6
= 3r - 3x2
= 3x(r-2)

The number of members in JJ Select in 1980 was approximately 2 × 102 people. By 2005, the number of members had risen to 6 × 105 people. Which of the following is true?

Answers

Answer:

88

Step-by-step explanation:because you just do that math