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cupoosta [38]
3 years ago
9

A trapezoid was broken into a rectangle and two equal

Mathematics
2 answers:
love history [14]3 years ago
5 0

Step-by-step explanation:

For the base of the triangles, we just have to remove the 1m and divide the remaining measurement into two since they are symmetrical.

5m - 1m = 4m \\   \frac{4m}{2}  = 2m \: each

For the area of the rectangle:

base \times height = 1m \times 4m = 4 {m}^{2}

For the area of each triangle:

\frac{1}{2} base \times height =  \frac{1}{2} (2m)(4m) = 4m^{2}

For the area of the trapezoid, just combine the two areas:

4m² + 4m² = 8m²

Yuki888 [10]3 years ago
5 0

Answer:

For the base of the triangles, we just have to remove the 1m and divide the remaining measurement into two since they are symmetrical.

For the area of the rectangle:

Step-by-step explanation:

For the area of each triangle:

For the area of the trapezoid, just combine the two areas:

4m² + 4m² = 8m²

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Part A Mr. Bade spends an average of $42.50 during a five-day workweek on lunch.if he eats every day during his 5-day workweek,
trasher [3.6K]

Answer:

Part A: He spends an average of $8.50 per day

Part B:  He would save $17 per week

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
A toy manufacturer wants to know how many new toys children buy each year. A sample of 305 children was taken to study their pur
Harrizon [31]

Answer:

The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.8}{2} = 0.1

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.1 = 0.9, so Z = 1.28.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.28\frac{1.5}{\sqrt{305}} = 0.1

The lower end of the interval is the sample mean subtracted by M. So it is 7.6 - 0.1 = 7.5

The upper end of the interval is the sample mean added to M. So it is 7.6 + 0.1 = 7.7

The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.

8 0
3 years ago
What are all the square numbers in 100
Doss [256]
What does that question even meAn
8 0
3 years ago
The circumference of a circle is 6.28. What is the area of the circle.
Rom4ik [11]
Hello there! Thank you for asking your question here at Brainly. I will be assisting you today with how to handle this problem, and will teach you how to handle it on your own in the future.

First, let's evaluate the question.
"The circumference of a circle is 6.28. What is the area of a circle?"

Now, let's remember the different formulas for area and circumference.
The circumference is "2•3.14•r", while the area is "3.14•r•r".

We have our circumference, 6.28.
However, we are looking for the area. Since we have the circumference, we need to narrow down to the radius (so we can solve for the area).
Let's set this up as an equation;
C = 2 • 3.14 • r
Plug in the value for our circumference.
6.28 = 2 • 3.14 • r
Multiply 2 by 3.14 and r to simplify the right side of the equation.
2 • 3.14 • r = 6.28 • r = 6.28r

We're now left with:
6.28 = 6.28r
Divide both sides by 6.28 to solve for r.
6.28 / 6.28 = 1
6.28r / 6.28 = r

We are now left with the radius:
R = 1.

Now, we can solve for the area.
Remember our formula for the area.
A = r • r • 3.14.
Plug in 1 for r.
A = 1 • 1 • 3.14
A = 3.14.

Your area is 3.14 units^2.

I hope this helps, and has prepared you for your future problems in relation to this topic!
6 0
3 years ago
Read 2 more answers
No links or i will report
yanalaym [24]

Answer:

The answers go in the following order:

25

8

33.6

27

68.4

6 0
2 years ago
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