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madreJ [45]
3 years ago
9

Find the area if the composite shape

Mathematics
1 answer:
soldi70 [24.7K]3 years ago
3 0

Answer:

111 m²

Step-by-step explanation:

A rectangle is a quadrilateral (has four sides and four angle) with two pairs of parallel sides. Opposite sides of a rectangle are equal to each other. Also all the angles of a rectangle are 90° each.

The area of a rectangle = length * width

For rectangle 1, length = 12 m, width = 3 m

Therefore area of rectangle 1 = length * width = 12 m * 3 m = 36 m²

For rectangle 2, length =(12 m - 3 m - 3 m) = 6 m, width =(15 m - 10 m) =5 m

Therefore area of rectangle 2 = length * width = 6 m * 5 m = 30 m²

For rectangle 3, length = 15 m, width = 3 m

Therefore area of rectangle 3 = length * width = 15 m * 3 m = 45 m²

Area of composite shape = Area of rectangle 1 + Area of rectangle 2 + Area of rectangle 3

Area of composite shape = 36 m² + 30 m² + 45 m² = 111 m²

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Lorico [155]

Answer:

P(Z < 2.37) = 0.9911.

Step-by-step explanation:

We are given that Let z denote a random variable that has a standard normal distribution.

Let Z = a random variable

So, Z ~ Standard Normal(0, 1)

As we know that the standard normal distribution has a mean of 0 and variance equal to 1.

                          Z  =  \frac{X-\mu}{\sigma}  ~ N(0,1)

where, \mu = mean = 0

           \sigma = standard deviation = 1

Now, the probability that z has a value less than 2.37 is given by = P(Z < 2.37)

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The above probability is calculated by looking at the value of x = 2.37 in the z table which has an area of 0.9911.

4 0
3 years ago
PLEASE HELP WILL MARK BRAINLIEST
KIM [24]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
Read 2 more answers
What is the following sum 3b^2
densk [106]

The given expression is 3b^2*(\sqrt[3]{54a}) + 3*(\sqrt[3]{2ab^6})

This can be simplified as :

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We know that: \sqrt[3]{27}  = 3

Similarly we also can simplify: \sqrt[3]{b^6}  = b^2

So our expression will look like this:

= 3*3*b^2*(\sqrt[3]{2a}) + 3*b^2*(\sqrt[3]{2a})

= 9b^2*(\sqrt[3]{2a}) + 3b^2*(\sqrt[3]{2a})

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This can also be written as:

12b^2(\sqrt[3]{2a})

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6 0
3 years ago
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Answer:

4---- 135

5-----405

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6 0
2 years ago
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