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Travka [436]
3 years ago
12

A barn is shaped like a rectangular prism with a triangular prism on top as shown. The exterior four walls and two triangular fa

ces need to be repainted. If one gallon of paint covers 232 square feet, how many gallons will it take to repaint the barn? Enter your answer in the box.

Mathematics
2 answers:
NikAS [45]3 years ago
4 0
23 gallons is correct answer
Karolina [17]3 years ago
3 0

Answer:

23 Gallons

Step-by-step explanation:

If you do 12 x 38 you get the answer for one half of the triangle if you divide it. However considering it is a whole triangle you dont have to divide it. From there you do 84 x 20 x 2 for the two long rectangular shapes on the barn. Then you do 38 x 20 x 2 for the two shorter ends. Which 38 x 20 x 2 is 1,520 you add 84 x 20 x 20 which is 3360 then you add 12 x 38 which is 456. You add 1,520 + 3,360 which is 4880 then you do 4,880+ 456 which is 5336. From there you would do 5336 / 232 and you would get 23.

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Find all the zeros of 2x4+x3-14x2-19x-6 two of its zeros are -2 and -1
GalinKa [24]

Answer:

-2,\ -1,\ -\dfrac{1}{2},\ 3.

Step-by-step explanation:

Consider polynomial 2x^4+x^3-14x^2-19x-6.

If x=-2 is its zero, then you can divide the polynomial 2x^4+x^3-14x^2-19x-6 by x+2 and get

2x^4+x^3-14x^2-19x-6=(x+2)(2x^3-3x^2-8x-3).

If x=-1, then the polynomial 2x^4+x^3-14x^2-19x-6 can be rewritten as

2x^4+x^3-14x^2-19x-6=(x+2)(x+1)(2x^2-5x-3).

The quadratic polynomial has roots

x_{1,2}=\dfrac{-(-5)\pm\sqrt{(-5)^2-4\cdot2\cdot(-3)}}{2\cdot 2}=\dfrac{5\pm \sqrt{25+24}}{4}=\dfrac{5\pm \sqrt{49}}{4}=3,-\dfrac{1}{2}.

Then the polynomial 2x^4+x^3-14x^2-19x-6 has zeros -2,\ -1,\ -\dfrac{1}{2},\ 3.



7 0
3 years ago
If you flip a coin or roll a 6-sided die, what is the probabilty that you will flip a tails and roll a 2?
telo118 [61]

Answer:

\frac{1}{12}

Step-by-step explanation:

P(tail) = \frac{1}{2}

P(2) = \frac{1}{6}

P(tail and 2 ) = \frac{1}{2} × \frac{1}{6} = \frac{1}{12}


3 0
3 years ago
What is 204divided by 9
arlik [135]
Do it on a calculator in estimate it's 26.6
5 0
3 years ago
Read 2 more answers
Hello guys, I really need help answer this, can you guys please help! I will give brainliest! thank you for all..​
Pachacha [2.7K]

Answer:

9

Step-by-step explanation:

889.64

889.64 would round to 889 + 1 which is 890

5 0
3 years ago
how much would you need to deposit in an account now in order to have 6000 in the account in 8 years. assume the account earns 6
Katen [24]
<h3>Answer:</h3>

$3,717.14

<h3>Step-by-step explanation:</h3>

Compound interest is the interest on the principal funding as well as the interest itself.

Compound Interest Formula

Compound interest can be solved by plugging known values into a formula.

  • A = P(1 + \frac{r}{n})^{nt}

In this formula, the variables stand for different values.

  • A = total amount
  • P = principal amount
  • r = rate as a decimal
  • n = times compounded per time period
  • t = time

So, for this question, we can plug in the values we are given and solve for P.

Identifying Known Values

First, let's find the exact numbers we are going to plug in.

  • 6000 is the final amount we want, so A = 6000.
  • 6%, the rate, is 0.06 as a decimal, so r = 0.06.
  • Since interest is compounded each month per year, n = 12.
  • The total time is 8 years, so t = 8.

Solving For P

Now we can plug all of these values in.

  • 6000=P(1+\frac{0.06}{12})^{12*8}

First, simplify the values within the parentheses and in the exponent through arithmetic.

  • 6000 = P(1.005)^{96}

Next, divide both sides by 1.005^{96}

  • 3717.14 ≈ P

*Note that the answer has been rounded to the nearest hundredth.

This means that you would need to deposit $3,717.14 into the account to have $6,000 in 8 years.

6 0
2 years ago
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