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3 years ago

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

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)

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

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2 years ago

Trigonometric functions

givi [52]

Answer:

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Step-by-step explanation:

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2 years ago

Read 2 more answers

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:

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

Step-by-step explanation:

Probability of Recurring Events

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

So, irrespective of what the equation is, you can always substitute quarts into the equation.

8 0

3 years ago