Answer:
1240.4 mm²
Step-by-step explanation:
SA of Pentagonal pyramid:
(as)(5/2) + (sl)(5/2)
↑ ↑
base area lateral area
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a: apothem (in-radius) length, s: side length.
l: slant height.
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Since we are already given the base area which is 440.4 mm². All we need to do is find the lateral area and add both areas together.
Given that the triangular face of the lateral part has a side/base length of 16mm, and a 20mm slant height.
A triangle has an area of ½bh and since there are 5 of these faces total, (5)(½bh) = (5/2)(bh). In a three dimensional perspective, b will be s and h will be l so (sl)(5/2).
With this information the surface area is:
(16)(20)(5/2)mm + (440.4 mm²) →
800 mm² + 440.4 mm² =
1240.4 mm²
Answer and explanation;
= 1/15 is the answer get when 36 is divided by 540 .
We can use the partial quotients to divide 540 by 36 then we get the reciprocal of the answer;
540 ÷ 36
We can take 360 ÷ 36 = 10
Then the remainder is ; 540 -360 = 180
But ; 180 ÷36 = 5
Then we get the sum of the quotients which is 10 +5 = 15
Thus; 540 ÷ 36 = 15
However; the question was 36 ÷ 540 , so we get the reciprocal of 15;
= 36 ÷ 540 = 1/15
3+16=19,
3+20=23
So the correct answer would be 19 and 23
Answer:
Step-by-step explanation:
Given radical is 
We can rewrite the radical as,
(Since, i = 
)
Therefore, simplified form of the given radical will be,
One Answer: Choice C) 0 < x < 1
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Explanation:
Let's go through the answer choices one at a time.
- Choice A represents an increasing interval since the graph goes uphill as we move from left to right. The line through the points (-2, f(-2)) and (-1.5, f(-1.5)) has a positive slope. We can rule out choice A.
- Choice B is a similar story to choice A. The graph goes uphill when we move from x = -1 to x = 0, so the graph is increasing on the interval -1 < x < 0. We can rule out choice B.
- In contrast, choice C is a decreasing interval. Going from x = 0 to x = 1 has us move downhill. Choice C is the only answer.
- Choice D is false because choice C was shown to be true.
