All categories

3 years ago

Find the surface area of the triangular prism shown below.

Mathematics

2 answers:

Slav-nsk [51]3 years ago

6 0

Answer:

i think it is 3380

multiply all the numbers and then divide by 5

nataly862011 [7]3 years ago

5 0

Answer:

the surface area is 544 square units

Step-by-step explanation:

the tringles first

12 x 8 = 96

base

12 x 14 = 168

sides

10 x 14 x 2 = 280

96 + 168 + 280

im going to break it down

000 + 100 + 200 = 300

90 + 60 + 80 = 230

6 + 8 + 0 = 14

300 + 230 = 530

530 + 14 = 544

You might be interested in

A rectangular field has an area of 162 m2.

Fed [463]

Answer:Length: 27m

Step-by-step explanation:

the formula of area of rectangle is : width*length
so we just replace the values in the formula
162=6*Length
Length=162/6
Length=27m

3 0

3 years ago

Read 2 more answers

A circle has a radius of 6 cm. What is the area of the circle? (Use 3.14 for pi)

vampirchik [111]

Answer:

113.04 cm²

Step-by-step explanation:

area of a circle= πr²

= 3.14 x 6²

=3.14 x 36

= 113.04 cm²

5 0

3 years ago

Write the following equation in slope-intercept form: y-8= 4(x+10)

tamaranim1 [39]

Answer:

y = 4x + 48

Step-by-step explanation:

Slope intercept form: y = mx + b

y - 8 = 4x + 40

y = 4x + 48

7 0

3 years ago

Read 2 more answers

The U.S. government has devoted considerable funding to missile defense research over the past 20 years. The latest development

Bad White [126]

Answer:

a) Let the random variable X= "number of these tracks where SBIRS detects the object." in order to use the binomial probability distribution we need to satisfy some conditions:

1) Independence between the trials (satisfied)

2) A value of n fixed , for this case is 20 (satisfied)

3) Probability of success p =0.2 fixed (Satisfied)

So then we have all the conditions and we can assume that:

$X \sim Bin(n =20, p=0.8)$

b) $X \sim Bin(n =20, p=0.8)$

c) $P(X=15)=(20C15)(0.8)^{15} (1-0.8)^{20-15}=0.17456$

d) $P(X \geq 15) = P(X=15)+ .....+P(X=20)$

$P(X=15)=(20C15)(0.8)^{15} (1-0.8)^{20-15}=0.17456$

$P(X=16)=(20C16)(0.8)^{16} (1-0.8)^{20-16}=0.218$

$P(X=17)=(20C17)(0.8)^{17} (1-0.8)^{20-17}=0.205$

$P(X=18)=(20C18)(0.8)^{18} (1-0.8)^{20-18}=0.137$

$P(X=19)=(20C19)(0.8)^{19} (1-0.8)^{20-19}=0.058$

$P(X=20)=(20C20)(0.8)^{20} (1-0.8)^{20-20}=0.012$

$P(X\geq 15)=0.804208$

e) $E(X) = np = 20*0.8 = 16$

Step-by-step explanation:

Previous concepts

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".

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:

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

Part a

Let the random variable X= "number of these tracks where SBIRS detects the object." in order to use the binomial probability distribution we need to satisfy some conditions:

1) Independence between the trials (satisfied)

2) A value of n fixed , for this case is 20 (satisfied)

3) Probability of success p =0.2 fixed (Satisfied)

So then we have all the conditions and we can assume that:

$X \sim Bin(n =20, p=0.8)$

Part b

$X \sim Bin(n =20, p=0.8)$

Part c

For this case we just need to replace into the mass function and we got:

$P(X=15)=(20C15)(0.8)^{15} (1-0.8)^{20-15}=0.17456$

Part d

For this case we want this probability: $P(X\geq 15)$

And we can solve this using the complement rule:

$P(X \geq 15) = P(X=15)+ .....+P(X=20)$

$P(X=15)=(20C15)(0.8)^{15} (1-0.8)^{20-15}=0.17456$

$P(X=16)=(20C16)(0.8)^{16} (1-0.8)^{20-16}=0.218$

$P(X=17)=(20C17)(0.8)^{17} (1-0.8)^{20-17}=0.205$

$P(X=18)=(20C18)(0.8)^{18} (1-0.8)^{20-18}=0.137$

$P(X=19)=(20C19)(0.8)^{19} (1-0.8)^{20-19}=0.058$

$P(X=20)=(20C20)(0.8)^{20} (1-0.8)^{20-20}=0.012$

$P(X\geq 15)=0.804208$

Part e

The expected value is given by:

$E(X) = np = 20*0.8 = 16$

5 0

3 years ago

Whitch expression is equivalent to 7 to the 3rd power? 7*7*7. Or 21. Or. 3 to the power of. Or. 10

laila [671]

Answer:

7x7x7

Step-by-step explanation:

8 0

2 years ago