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lorasvet [3.4K]
3 years ago
12

Find the total surface area of this triangular prism.

Mathematics
2 answers:
prohojiy [21]3 years ago
5 0

Answer:

Total surface area of triangular prism:

A = base area x 2 + base perimeter x height

  = 6 x 8 x (1/2) x 2 + (6 + 8 + 10) x 4

  = 48 + 96

  = 144 (cm2)

Hope this helps!

:)

romanna [79]3 years ago
3 0

Answer:

162.4

Step-by-step explanation:

bh + (s1 + s2 + s3)H is the formula, so if you plug in the numbers and follow PEMDAS you get 162.4

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I need help putting this in corresponding factored form. I got two wrong but I’m not sure how to do it and show my work.
Anna11 [10]

Answer:

x^2-16 goes with (x+4)(x-4)

x^2+10x+16 goes with (x+8)(x+2)

Step-by-step explanation:

The first one you got wrong is known as a difference of squares.

To factor a difference of squares, a^2-b^2, you just write it as (a-b)(a+b) or (a+b)(a-b) would work too.

So x^2-16=(x-4)(x+4) or (x+4)(x-4).

Let's check (x+4)(x-4) using foil!

First: x(x)=x^2

Outer: x(-4)=-4x

Inner: 4(x)=4x

Last: 4(-4)=-16

----------------------Add

x^2-16

Bingo! (x+4)(x-4) definitely corresponds to x^2-16.

Here are more examples of factoring a difference of squares:

Example 1:  x^2-25  = (x+5)(x-5)

Example 2: x^2-81   = (x+9)(x-9)

Example 3: x^2-100 =(x+10)(x-10)

Onward to the next problem:

x^2+10x+16

When the coefficient of the leading term of a quadratic is 1, all you have to do is find two numbers that multiply to be c=16 and add up be b=10.

Those numbers would be 8 and 2

because 8(2)=16 and 8+2=10.

So the factored form of x^2+10x+16 is (x+2)(x+8) or (x+8)(x+2).

Here is another example of when the leading coefficient of a quadratic is 1:

Example 1:  x^2+5x+6=(x+2)(x+3) since 3(2)=6 and 3+2=5.

Example 2: x^2-x-6=(x-3)(x+2) since -3(2)=-6 and -3+2=-1.

5 0
2 years ago
What is the length of square root 18 to the nearest hundredth
Katena32 [7]

Answer:

4.24

Step-by-step explanation:

3 0
3 years ago
Riley makes a mistake in step 2 while doing her homework. what was her mistake? startfraction x over x squared minus 5 x 6 endfr
maw [93]

The mathematical mistake that Riley made is that:
"She used the wrong common denominator." (Option A)

<h3>What is a Common Denominator?</h3>

A common denominator is a factor that is similar to all the fractions in the sequence of equations.

Hence the correct answer is:

(2(2x² - 6x + 9))/((x-3) (x-2) (x+3))

See the correct sequence of steps below:

Step One - the Expression is given as:

(x/(x-3)(x-2)) + (3/(x+3))

Step 2 - Find the common denominator and rewrite the expression so that the numerators are above the common denominators.

Hence we have:  (x (x+3) + 3(x-3) (x-2))/(x-3)(x-2)(x+3)

Step 3  Apply the Law of Multiplicative Distribution:

Hence we have  (x² +3x+3x²-9x-6x+16)/(x-3)(x-2)(x+3)

Step 4 -  Collect Like Items

This gives us: (x²+3x²)+(3x-9x-6x)+18/(x-3)(x-2)(x+3)

Step 5 Sort for like coefficients

This gives us:  ((1+3)x² +(3-9-6) * x + 18)/(x-3)(x-2)(x+3)

Step 6 -  check for the sum or difference

This gives us: (4x²+(3-9-6) * x+ 18)/(x-3)(x-2)(x+3)

We simplify and factor the expression to get

(2(2x²-6x+6)/(x-3)(x-2)(x+3).

See the attached for full question.

Learn more about Common Denominators at:

brainly.com/question/542317

4 0
2 years ago
Shanell answered al of her answer on her science test she had 90% correct there were 40 questions how many did she get incorrect
Snowcat [4.5K]

Answer:

4

Step-by-step explanation:

If she got a 90% on her test, and the test was 40 questions long, we need to do a bit of division and multiplication.

We have to divide 40 by 100, as percentages are out of 100.

So now we have 0.4.

Now we multiply this by 90.

36. She got 36 answers correct out of 40, which means she got four wrong.

6 0
2 years ago
A pipe fills 11/15 liters of tub in 22/45 minutes. What is it's flow rate in terms of liters per minute?
Lelu [443]

The flow rate of the given fluid in the pipe is gotten as; 3/2 liters per minute

<h3>How to calculate the rate of flow?</h3>

We are told that a pipe fills 11/15 liters in 22/45 minutes.

Now, to get the flow rate of this pipe, we will use the formula;

Flow rate = Quantity of fluid/Time

Thus;

Flow rate = 11/15 ÷ 22/45

⇒ 11/15 * 45/22

⇒ 3/2 liters per minute

Read more about Rate of flow at; brainly.com/question/19475319

#SPJ1

8 0
2 years ago
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