All categories

3 years ago

A cube and a square pyramid were joined to form the composite solid.

Mathematics

1 answer:

Yakvenalex [24]3 years ago

5 0

We know that
total surface area of the composite solid=surface area of the pyramid+surface area of the cube

surface area of the pyramid=4*area of lateral triangle side
area of lateral triangle side=12*9/2----> 54 in²
surface area of the pyramid=4*54---> 216 in²

surface area of the cube=5*[12*12]----> 720 in²

total surface area of the composite solid=216 in²+720 in²---> 936 in²

the answer is the option
936 square inches

You might be interested in

A square has a perimeter of 12 yd. What is the length of each side?

Lena [83]

Answer:

Length of side of square is 3 yd.

$~$

Step-by-step explanation:

Let the side of square be 's'. We know that Perimeter of square is 4 × Side. By substituting values in the formula we can find the required side.

$~$

$:\implies \sf 4 × s=Perimeter \: of \: square$

$~$

$:\implies \sf \: \: \: 4 × s = 12$

$~$

$:\implies \sf \: \: \: s = \dfrac{12}{4}$

$~$

$:\implies \bf \: \: \: Side = 3 yd.$

$~$

$\therefore \:$ Length of side of square is 3 yd.

7 0

1 year ago

According to New Jersey Transit, the 8:00 A.M. weekday train from Princeton to New York City has a 90% chance of arriving on tim

jonny [76]

Answer:

See explanation below.

Step-by-step explanation:

Assuming this problem: "According to New Jersey Transit, the 8:00 A.M. weekday train from Princeton to New York City has a 90% chance of arriving on time on a randomly selected day. Suppose this claim is true. Choose 6 days at random. Let W = the number of days on which the train arrives late. "

For this case we can check if the binomial model can be used checking conditions:

1) We satisfy that we have independent trials and is assumed for this case

2) We have a fixed value for the trials n =6 and for the probability p = 0.9 on each trial

3) We have bernoulli experiments on each trial since we have success or failure for each case.

So then since all the conditions are satisfied we can assume that the binomial model can be used here.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let W the random variable of interest "the number of days on which the train arrives late", on this case we now that:

$W \sim Binom(n=6, p=0.9)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

We can find all the possible probabilities for all the possible values of X like this:

$P(X=0)=(6C0)(0.9)^0 (1-0.9)^{6-0}=1x10^{-6}$

$P(X=1)=(6C1)(0.9)^1 (1-0.9)^{6-1}=5.4x10^{-5}$

$P(X=2)=(6C2)(0.9)^2 (1-0.9)^{6-2}=0.001215$

$P(X=3)=(6C3)(0.9)^3 (1-0.9)^{6-3}=0.01458$

$P(X=4)=(6C4)(0.9)^4 (1-0.9)^{6-4}=0.0984$

$P(X=5)=(6C5)(0.9)^5 (1-0.9)^{6-5}=0.354$

$P(X=5)=(6C5)(0.9)^6 (1-0.9)^{6-6}=0.531$

4 0

3 years ago

Please help with this math

Studentka2010 [4]

Answer:

I believe it’s C

Step-by-step explanation:

let me know if right if am mark brainliest pls

7 0

2 years ago

I give 20! Find the surface area. And without explanation please, I don’t have enough time.

oee [108]

Answer:

816 cm²

Step-by-step explanation:

Surface area of the composite figure = (surface area of the larger rectangular prism + surface area of the smaller rectangular prism) - area of the side of the smaller rectangular prism that is joined to the bigger prism.

✔️Surface area of the larger rectangular prism:

Area = L*W*H = 20*5*6 = 600 cm²

✔️surface area of the smaller rectangular prism:

Area = L*W*H = 12*4*6 = 288 cm²

✔️area of the side of the smaller rectangular prism that is joined to the bigger prism.

Area = L*W = 12*6 = 72 cm²

Surface area of the composite = (600 + 288) - 72 = 888 - 72 = 816 cm².

8 0

2 years ago

The school production of Our Town' was a big success. For opening night. 434 tickets were sold. Students paid $4.00 each, while

Alex73 [517]

Answer: