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3 years ago

The figure is made up of a square and a rectangle. Find the area of the shaded region.

Mathematics

2 answers:

Viefleur [7K]3 years ago

6 0

Answer:

40 square metres

Step-by-step explanation:

The shaded region is of a triangle, whose area is denoted by: A = (1/2) * b * h, where b is the base and h is the height.

Since the left figure is a square with side lengths 10, we know that the height of the triangle is also 10 metres. The right figure is a rectangle with length 4. Since the total base length of the entire figure is 18 and the base of the square is 10, then the width of the rectangle is 18 - 10 = 8 metres.

This width is also the base of the triangle, so b = 8.

Now plug these values into the equation:

A = (1/2) * b * h

A = (1/2) * 8 * 10 = (1/2) * 80 = 40

The area is 40 square metres.

zheka24 [161]3 years ago

5 0

Answer:

40 m²

Step-by-step explanation:

Area of any triangle:

½ × base × height

base = 18 - 10 = 8

height = 10

Area:

½ × 8 × 10

40 m²

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Answer: x = 1

Step-by-step explanation:

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2 years ago

A population that consists of 500 observations has a mean of 40 and a standard deviation of 15. A sample of size 100 is taken at

Alex17521 [72]

Answer:

<h3>The option D) 1.50 is correct</h3><h3>That is the standard error of the sample mean is 1.50</h3>

Step-by-step explanation:

Given that a population that consists of 500 observations has a mean of 40 and a standard deviation of 15.

A sample size is 100 taken at random from the given population.

<h3>To find the standard error of the sample mean :</h3>

From the given Mean=40 and $\sigma =15$

For N=100

<h3>The formula for standard error is $SE_{mean}=\frac{\sigma}{\sqrt{N}}$ </h3>

Substitute the values in the above formula we get

$SE_{mean}=\frac{15}{\sqrt{100}}$

$=\frac{15}{10}$

$=1.50$

∴ $SE_{mean}=1.50$

<h3>∴ The standard error of the sample mean is 1.50</h3><h3>Hence the option D) 1.50 is correct</h3>

7 0

3 years ago

Randy has two 28-pound blocks of ice for his snow cone stand. 1). How many pounds of ice does randy have at his snow cone stand?

dalvyx [7]

Randy has 56 pound blocks of ice for his snow cone stand

Tons of ice is 0.028 tons or $\frac{7}{250} \text{ tons }$

<em><u>Solution:</u></em>

Randy has two 28-pound blocks of ice for his snow cone stand

<em><u>1). How many pounds of ice does randy have at his snow cone stand?</u></em>

Calculate the total pounds that Randy has

Total pounds = 2 x 28 = 56

Thus Randy has 56 pound blocks of ice for his snow cone stand

<em><u>2) How many tons of ice is there?</u></em>

Total pounds of ice = 56 pounds

So we have to convert 56 pounds to tons

Use the conversion factor

1 pound = 0.0005 ton

Therefore, 56 pounds is equal to,

56 pound = 0.0005 x 56 tons = 0.028 tons

Thus in decimal we got, 0.028 tons

Convert to fraction form,

$0.028 = \frac{0.028}{1000} \times 1000 = \frac{28}{1000} = \frac{7}{250}$

Thus tons of ice is 0.028 tons or $\frac{7}{250} \text{ tons }$

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3 years ago