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kirza4 [7]
3 years ago
12

Can someone please help me on this and show work if you can? Thanks!

Mathematics
1 answer:
Aneli [31]3 years ago
5 0

Answer:

area = 18.81 m²

Step-by-step explanation:

solving for the 7 sided polygon first:

divide into 7 equal isosceles triangles, each having sides of 10 m and a peak angle of 360°/7 = 51.43°. Drop a line from the peak & perpendicular to the base makes a right triangle with a 25.71° peak angle and a 10 m hypotenuse.

sin 25.71° = x/10, x = 4.34, the base of the full triangle will be 2 x 4.34 = 8.68 m

cos 25.71° = x/10, x = 9.01, the rise of the triangle is 9.01 m

The area of each triangle will be 1/2(8.68)(9.01) = 39.10 m²

39.10 x 7 triangles = 273.72 m²

area of 7 sided polygon = 273.72 m²

Next solve for the inner circle:

The rise of the triangle (9.01) is the radius of the inner circle.

area of inner circle = πr² = 3.14(9.01²) = 254.91 m²

273.72 - 254.91 = 18.81 m²

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Answer:

(1) 0.4207

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Step-by-step explanation:

Given,

Mean value,

\mu = 15.0

Standard deviation,

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= 1- P(\frac{x-\mu}{\sigma} \leq \frac{17.5-\mu}{\sigma})

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=1-P(z\leq 2)

=1- 0.5793   ( By using z-score table )

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8 0
3 years ago
geraldo is going to paint the interor walls of the lobby of the local history museum.the room is 40 ft by 60 ft.its height is 16
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Since the dimensions are 40 ft by 60 ft, and 16 ft high, I assume the floor of the room is shaped like a rectangle.
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4 years ago
Let f (x) = |2). Write a function g whose graph is a vertical shrink by a factor of
Talja [164]

Answer:

This is poorly written, so i will answer it as it was:

"Let f (x) = |2). Write a function g(x) whose graph is a vertical shrink by a factor of  A, followed by a translation 2 units up of the graph of f."

I don't really know what you do mean by I2), so i will answer it in a general way.

First, we do a vertical shrink of factor A.

A must be a number smaller than one and larger than zero., then if g(x) is a vertical shrink of factor A of the graph of f(x), we have that:

g(x) = A*f(x)

As 0 < A < 1

We will have that the graph of g(x) is a vertical compression of the graph of f(x)

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A general vertical shift of N units up is written as:

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So in our case, we have:

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Where you will need to replace the values of A and f(x) depending on what the actual question says,

5 0
4 years ago
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