Answer:
336.02 square centimeters
Step-by-step explanation:
The surface area is the area of all the surfaces of the prism shown.
The prism has 7 surfaces.
Top and Bottom are pentagons with side lengths of 5.
The other 5 side surfaces are rectangles with length 10 and width 5.
Note the formulas of area of pentagon and area of rectangle below:
Area of Rectangle = Length * Width
Area of Pentagon =
, where a is the side length
Lets find area of each of the surfaces:
<u>Top Surface</u> (Pentagon with side length 5) = ![\frac{1}{4}\sqrt{25+10\sqrt{5} }* a^2=\frac{1}{4}\sqrt{25+10\sqrt{5} }* (5)^2=43.01](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%5Csqrt%7B25%2B10%5Csqrt%7B5%7D%20%7D%2A%20a%5E2%3D%5Cfrac%7B1%7D%7B4%7D%5Csqrt%7B25%2B10%5Csqrt%7B5%7D%20%7D%2A%20%285%29%5E2%3D43.01)
<u>Bottom Surface</u> = same as Top Surface = 43.01
<u>Side Surface</u> (rectangle with length 10 and width 5) = 10 * 5 = 50
There are 5 side surfaces that are each 50 sq. cm. so area would be:
<u>Area of 5 Side Surface</u> = 5 * 50 = 250
Total Surface Area = 250 + 43.01 + 43.01 = 336.02 square centimeters
Answer: You would swap the ineqaulity
Step-by-step explanation:
Multiplying or dividing both sides by a negative number reverses the inequality. This means < changes to >, and vice versa. For example, given that 5 < 8 we can multiply both sides by 6 to obtain 30 < 48 which is still true.
Using asymptote concepts, it is found that the function is:
![f(x) = \frac{10x^2}{x^2 + 2x - 3}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B10x%5E2%7D%7Bx%5E2%20%2B%202x%20-%203%7D)
- First we find the vertical asymptotes, which are the <u>values for which the function is outside the domain</u>.
- We consider a fraction, thus, deciding to place vertical asymptotes at
and at
, the denominator is:
![(x + 1)(x - 3) = x^2 + 2x - 3](https://tex.z-dn.net/?f=%28x%20%2B%201%29%28x%20-%203%29%20%3D%20x%5E2%20%2B%202x%20-%203)
- The horizontal asymptote is the <u>limit of f(x) as x goes to infinity.</u> We suppose it is 10, thus the numerator is
, as it has to be the same degree of the denominator.
Which means that the function is:
![f(x) = \frac{10x^2}{x^2 + 2x - 3}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B10x%5E2%7D%7Bx%5E2%20%2B%202x%20-%203%7D)
The graph is sketched below.
A similar problem is given at brainly.com/question/17375447
Answer: A,D
Step-by-step explanation:
I took the test
The three in 350 is in the hundreds place and the 3 in 403 is in the ones place. Hope this helps.