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cestrela7 [59]
3 years ago
5

Find the surface area of the prism

Mathematics
2 answers:
ExtremeBDS [4]3 years ago
7 0

Answer:

330

Step-by-step explanation:

We can break each surface area into it pieces.

For the squares:

9x13=117

9x5=45

9x12=108

For the triangles:

12x5÷2=30

12x5÷2=30

Add all of those together to get the total square area, which is

330

Pani-rosa [81]3 years ago
4 0

Answer:

330

Step-by-step explanation:

The prism is a triangular prism

9 * (12 + 5 + 13) + (2 * 30)= 330

30 being the base area

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Which expression is equivalent to -18a^-2b^5/-12a^-4b^-6
crimeas [40]

Answer:

  c.  3a^2b^11/2

Step-by-step explanation:

The applicable rule of exponents is ...

  (a^b)/(a^c) = a^(b-c)

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 \dfrac{-18a^{-2}b^5}{-12a^{-4}b^{-6}}=\dfrac{-18}{-12}a^{-2-(-4)}b^{5-(-6)}=\boxed{\dfrac{3a^2b^{11}}{2}}

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2 years ago
Trigonometric functions
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Answer:

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Step-by-step explanation:

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3 0
2 years ago
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The Rule of 72 is a useful approximation for many interest rates and periods for the time it takes a lump sum to double in value
iren2701 [21]

Answer:

The number of years to double the lump sum in value is;

N = 72/10 = 7.20

N = 7.20 years

Step-by-step explanation:

Using the rule of 72 for the approximation:

The formula for rule of 72 is;

Number of years to double = 72/interest rate in percentage

Given;

Interest rate = 10%

The number of years to double the lump sum in value is;

N = 72/10 = 7.20

N = 7.20 years

3 0
3 years ago
the letters of the word independent are written on individual card and the cards are put into a box a card is selected and then
puteri [66]

Answer:

<em>The probability of obtaining the letter p twice is 1/121</em>

Step-by-step explanation:

<u>Probability of Recurring Events</u>

There are 11 letters in the word 'independent', one of which is the letter 'p'.

When those letters are written on individual cards and they are put into a box, there are 11 different choices to pick at random.

This means the individual probability of getting a 'p' is:

\displaystyle P_1=\frac{1}{11}

The card is reinserted into the box, leaving the sample space unaltered, thus the second card has the same probability:

\displaystyle P_2=\frac{1}{11}

We'll use the multiplication rule. Just multiply the probability of the first event by the second.

\displaystyle P=P_1*P_2=\frac{1}{11}*\frac{1}{11}

\displaystyle P=\frac{1}{121}

The probability of obtaining the letter p twice is 1/121

6 0
2 years ago
If I have an equation in which x = pounds, and y = total cost, can I substitute quarts into the equation
Colt1911 [192]

Answer:

Yes, you can

Step-by-step explanation:

As a point of reference, assume the equation is:

y = 5x

Where

y = total\ cost

and

x = pounds

In standard unit of conversion:

1\ pound = 0.4793\ quart

So:

x\ pounds = 0.4793x\ quart

Substitute 0.4793x for x in y = 5x

y = 5 * 0.4793x

y = 2.3965x

The above equation is the equivalent of y = 5x in quarts

<em>So, irrespective of what the equation is, you can always substitute quarts into the equation.</em>

8 0
3 years ago
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