Answer:
V = 120.6796
LA = 110.8513
SA = 174.8513
Step-by-step explanation:
Let me know if you need more of an explanation for any of these
First we need the height, one way to find that out is to use the diagonal of the and one of the diagonal edges of the pyramid. Specifically we will need half of the diagonal of the square. We will call the diagonal of the square d.
Gonna leave it like that for ease of writing. So then half of the diagonal is 
The height, h, will be 
. Plugging everything in gets us 
last, we need to find slant height, which we will call s.
s is also the height of the triangles for purposes of finding area. Now for the volume and areas.
Volume is area of the base times height divided by 3, so 
Lateral area is the sum of the four areas of the triangles, and each of those are 
so the whole lateral area is 4 times that. So we get 
Total surface area is the lateral surface area + the area of the base, so 110.8513 + 64 = 174.8513
The rule is n-4;
163 - 4 = 159
159 - 4 = 155
155 - 4 = 151
151 - 4 = 147
A quick way to solve this is to mutliply 4 by 23 and subtract the product from the 1st term.
23 x 4 = 92
163 - 92 = 71
The 23rd term is 71.
I hope this helps!
Answer:
1. 52 degrees 2. D
Step-by-step explanation:
1. The interior angles of a triangle add up to 180, so you can do 180 - 36 - 92 to find the third angle.
180 - 36 - 92 = 52 degrees
2. the angle XYZ has to equal the sum of the angles WXY and XWY. This means that 115 = 45 + XWY
115 - 45 = 72
XWY = D. 70 degrees
Using the asymptote concept, it is found that:
- The vertical asymptote is of x = 25.
- The horizontal asymptote is of y = 5.
- Considering the horizontal asymptote, it is found that the end behavior of the function is that it tends to y = 5 to the left and to the right of the graph.
<h3>What are the asymptotes of a function f(x)?</h3>
- The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.
- The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.
In this problem, the function is:
Considering the denominator, the vertical asymptote is:
x - 25 = 0 -> x = 25.
The horizontal asymptote is found as follows:
Hence the end behavior of the function is that it tends to y = 5 to the left and to the right of the graph.
More can be learned about asymptotes and end behavior at brainly.com/question/28037814
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