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storchak [24]
2 years ago
12

Find the total surface area of this triangular prism. 21 cm 29 cm 22 cm 20 cm

Mathematics
1 answer:
mixer [17]2 years ago
7 0

Answer:

313

Step-by-step explanation:

First of all you need to find out the surface of the front.

So you need to do 29cm + 29cm = 58cm.

You then have to do 22cm + 22cm = 44cm

So if you add those two numbers up you will get the front surface which is 102cm.

Next, you need to find the surface of the side.

So you need to do 20cm + 21cm = 41cm

After that, you need to find the back surface.

So you need to add 22cm +22cm = 44cm

Then you have to do 21cm + 21cm = 42cm

Add those two together to get 86cm

Then, you need to do the bottom of the shape.

So you need to add 22cm + 22cm (again) = 44cm

You then need to do 20cm + 20cm = 40cm

Add those together to get 84cm

Finally, you need to add 84cm + 86cm + 102cm + 41cm = 313cm

So your answer is:

Surface: 313

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There is a sales tax of $20 on an item that costs $128 before tax. The sales tax on a second item is $6.75 . How much does the s
Kazeer [188]

$20/128 = 6.75/x

using cross products

20x=128*6.75

divide by 20

x =43.20

8 0
3 years ago
In a large population of adults, the mean IQ is 112 with a standard deviation of 20. Suppose 200 adults are randomly selected fo
Snezhnost [94]

Answer:

(c)approximately Normal, mean 112, standard deviation 1.414.

Step-by-step explanation:

To solve this problem, we have to understand the Central Limit Theorem

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation \frac{\sigma}{\sqrt{n}}.

In this problem, we have that:

\mu = 112, \sigma = 20, n = 200

Using the Central Limit Theorem

The distribution of the sample mean IQ is approximately Normal.

With mean 112

With standard deviation s = \frac{20}{\sqrt{200}} = 1.414

So the correct answer is:

(c)approximately Normal, mean 112, standard deviation 1.414.

4 0
3 years ago
Two numbers, a and b, have a sum of 24. The
mina [271]

Answer:

a= -12 and b=36

Step-by-step explanation:

a+b=24 and 3a+b

a-3a+b=24

-2a+b-b=24

-2a/-2=24/-2

a= -12

then substitute the value of a in a+b=24 to get the value of b

so let see -12+b=24

b=24+12

b=36

we can check it by the equation -2a+b-b=24

-2(-12)+36-36=24

24=24 so as you have seen the answer is correct

thanks!!!

7 0
3 years ago
Factor the polynomial. x2 - 6x + 9 A) (x - 9)(x - 1) B) (x - 3)(x + 3) C) (x + 9)(x + 1) D) (x - 3)(x - 3)
mihalych1998 [28]
X² - 6x +9
x          -3
x          -3

D)   (x - 3) (x -3) is your answer

To check, do your FOIL
x(x) = x^2
x(-3) = -3x
-3(x) = -3x
-3(-3) = 9
x^2 -6x +9  True

hope this helps


6 0
4 years ago
Read 2 more answers
Find the absolute mean deviation for this set (-32,9,11,12).<br> A)0<br> B)8<br> C)16<br> D)32
Alex Ar [27]
I think 0 because 9+11+12=32
32+-32 or 32-32= 0
3 0
3 years ago
Read 2 more answers
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