A pyramid has a regular hexagonal base with side lengths of 4 and a slant height of 6. Find the total area of the pyramid.
2 answers:
Answer:
Step-by-step explanation:
alright lets get started.
Total area of pyramid will be equals to the sum of area of base and the area of all six faces.
area of hexagonal will be =
Plugging the value of a as 4, the area of base will be :
Now the area of one face will be=
so, the area of one face will be =
So, the area of six faces will be =
So, the total area of pyramid will be =
So, the total area of pyramid will be 113.57
Hence the answer is 113.57. : answer
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Solution :
We have :
X 0 1 2 3 4
P(X) 0.10 A 0.35 B C
a). P(X < 2) = 0.35
P(X < 2) = P(X = 0) + P(X = 1) = 0.35
⇒ 0.10 + A = 0.35
⇒ A = 0.25
So the value of A is 0.25
b). The total probability = 1
So ,
0.10 + A + 0.35 + B + C = 1
0.10 + 0.25 + 0.35 + B + C = 1
B + C = 1 - 0.70
B + C = 0.30 ......(i)
We have the expected value = 1.9
So, for x = 0, 1, 2, 3, 4
⇒ (0 x 0.10) + (1 x 0.25) + (2 x 0.35) + (3 x B) + (4 x C) = 1.9
⇒ 0 + 0.25 + 0.70 + 3B + 4C = 1.9
⇒ 3B + 4C = 1.9 - 0.95
⇒ 3B + 4C = 0.95 ...................(ii)
From (i), we take the value of B = 0.30 - C and substitute it in the equation (i), we get,
⇒ 3( 0.30 - C) + 4C = 0.95
⇒ 0.90 - 3C + 4C = 0.95
⇒ C = 0.95 - 0.90
= 0.05
Now substituting the value of C = 0.05 in (ii), we get,
⇒ B = 0.05 = 0.30
⇒ B = 0.25
c). The value of C is 0.05
Answer: y = ½x - 2
Step-by-step explanation:
<u>Slope-intercept form: y = mx + b</u>
- m = slope =
- b = y-intercept ⇒ Substitute in a given point to the function to find b
y = ½x + b
2 = ½(8) + b
2 = 8/2 + b
2 = 4 + b
2 - 4 = b
b = -2
<u>y = ½x - 2</u>
For this case we have to by definition:
1 kg equals 1000 grams
Shark 1:
405 kg and 68 grams
Thus, shark 1 weighs 405,068 grams.
Shark 2:
324 kg and 75 grams
Thus, shark 2 weighs 324,075 grams.
Subtracting we have:
Thus, shark 1 weighs 80,993 grams more than the second.
Answer:
Shark 1 weighs 80,993 grams more than the second.