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Lelechka [254]
3 years ago
5

Which expression can be used to find the surface area of the following triangular prism? Triangular prism 3 3 4 4 5 5 11 11 Choo

se 1 answer: A)12+55 B)6+6+33+44+55. C)6+6+55+55+55. D)12+12+33+44+55
Mathematics
2 answers:
Gre4nikov [31]3 years ago
5 0

Answer:

B

Step-by-step explanation:

Lorico [155]3 years ago
3 0

Answer:

  B)   6+6+33+44+55

Step-by-step explanation:

We assume your prism has bases that are 3-4-5 triangles, and that it is of length 11. The the surface area is the sum of the areas of the bases and the areas of each of the rectangular sides.

  base area = (1/2)(3)(4) = 6

  face area = (3)(11) +(4)(11) +(5)(11) = 33 +44 +55

Surface area = base area + base area + face area

Surface area = 6 + 6 + 33 + 44 + 55

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Amiraneli [1.4K]

Answer:

Volume of smaller cone =301.44

Step-by-step explanation:

First let angle of cone be\alpha.

then sin(\alpha ) = 3/5       (For bigger triangle)

Same cone angle is for smaller one because they are similar.

cos(\alpha ) = 4/5

Now for smaller cone radius be R

3/5 =R/Slant height

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2\pi R=\frac{5R}{3}\beta        ................................................2

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3 years ago
A marble is selected at random from a jar containing 3 red​ marbles, 4 yellow​ marbles, and 6 green marbles. What is the probabi
alexgriva [62]

Answer:  a) \dfrac{3}{13},\ b)\dfrac{9}{13}\ c)\dfrac{9}{13},\ d)\dfrac{4}{13}

Step-by-step explanation:

Since we have given that

Number of red marbles = 3

Number of yellow marbles = 4

Number of green marbles = 6

Total number of marbles = 3 +4 +6 = 13

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Probability of not getting yellow = \dfrac{3+6}{13}=\dfrac{9}{13}

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Probability of getting either red or green = P(red) + P(green) =\dfrac{3}{13}+\dfrac{6}{13}=\dfrac{9}{13}

d) the marble is neither red nor ​green?

Probability of getting neither red nor green = P(getting yellow) = \dfrac{4}{13}

Hence, a) \dfrac{3}{13},\ b)\dfrac{9}{13}\ c)\dfrac{9}{13},\ d)\dfrac{4}{13}

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