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Sati [7]
3 years ago
5

6. Find the volume of the composite figure. ​

Mathematics
1 answer:
Elenna [48]3 years ago
4 0

Answer:

4×6=24

24×15=360

360×2=720

15-12=3

3×6=18

18×18=324

324+720=1044inches

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MATH HELP!!! 100PTS!!!
Lostsunrise [7]

Answer:

x =\dfrac{20 +\sqrt{454}}{18}, \quad \dfrac{20 -\sqrt{454}}{18}

Step-by-step explanation:

<u>Given functions</u>:

  p(x)=2x-4

  r(x)=\dfrac{6x-1}{9x+1}

Solve for p(x) = r(x):

\begin{aligned}p(x) & = r(x)\\\implies 2x-4 & = \dfrac{6x-1}{9x+1}\\(2x-4)(9x+1)&=6x-1\\18x^2+2x-36x-4&=6x-1\\18x^2-40x-3&=0\end{aligned}

As the found quadratic equation cannot be factored, use the Quadratic Formula to solve for x:

<u>Quadratic Formula</u>

x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0

Therefore:

a=18, \quad b=-40, \quad c=-3

Substitute the values of a, b and c into the <u>quadratic formula</u> and solve for x:

\begin{aligned}\implies x & =\dfrac{-(-40) \pm \sqrt{(-40)^2-4(18)(-3)} }{2(18)}\\\\& =\dfrac{40 \pm \sqrt{1816}}{36}\\\\& =\dfrac{40 \pm \sqrt{4 \cdot 454}}{36}\\\\& =\dfrac{40 \pm \sqrt{4}\sqrt{454}}{36}\\\\& =\dfrac{40 \pm2\sqrt{454}}{36}\\\\& =\dfrac{20 \pm\sqrt{454}}{18}\end{aligned}

Therefore, the solutions are:

x =\dfrac{20 +\sqrt{454}}{18}, \quad \dfrac{20 -\sqrt{454}}{18}

Learn more about quadratic equations here:

brainly.com/question/27750885

brainly.com/question/27739892

6 0
1 year ago
A car used 5 2/3 gallons of fuel on a 3 hour trip. How many gallons were used each hour?
mr_godi [17]

Answer:

2. 1 8/9 gallons

Step-by-step explanation:

5 2/3 divided by 3

5.66666667/3 = 1.88888889

.88888889 = 8/9

1 + 8/9 = 1 8/9

5 0
2 years ago
10. Triangle A and triangle B are similar. The perimeter of triangle A is 15 m and the perimeter of
pentagon [3]

Answer:

2:1

Step-by-step explanation:

I think I'm not 100 percent sure

6 0
3 years ago
Evaluate the expression<br> 3 4 5 x − 2 1 2 for x = − 10 .
Rina8888 [55]

Answer:

3,662

Step-by-step explanation:

It says that x= -10 so you have to multiply 345 by -10 because x is next to the number 345. Then you get the number -3450-212 from there you can see they are both negative so you can add them together and take out the negative symbol at the end. Hope that helped!

7 0
3 years ago
There are 20 students at lunch. One-fifth of the student are in the hall. How many people are in the hall
SashulF [63]
There are 4 people in the hall
6 0
2 years ago
Read 2 more answers
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