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Aleksandr [31]
4 years ago
8

5 1/3 + ( 2 1/3 + 1 1/3)=

Mathematics
2 answers:
Fiesta28 [93]4 years ago
6 0
Okay so you want to do the parentheses first okay? So 2.3333...+1.3333333 is?3.666 or 3 2/3. So you got that right? So then 5 1/3+ 3 2/3. You get an easy 9. Because 1/3+ 2/3 adds up to 3/3, and is normally written as 1. So add a one to 5+3=8+1.
zhannawk [14.2K]4 years ago
5 0
Use order of operations, by starting with the parenthesis first. 2 1/3 + 1 1/3 = 3 2/3. Then you would have to finish the rest of the problem by adding 5 1/3 to 3 2/3. Answer: 9
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Find the volume of the tetrahedron in the first octant bounded by the coordinate planes and the plane passing through (2 comma 0
SVETLANKA909090 [29]

Answer:

The volume of the tetrahedron is:

\frac{50}{3}=16.667

Step-by-step explanation:

The volume of the tetrahedron is given by the intersection of the planes x = 0, y = 0, z = 0 and the plane formed by the three points given.

The equation of the plane formed by the three points is:

Points: (2,0,0);(0,5,0);(0,0,4)

\pi :\frac{x}{2} +\frac{y}{5} +\frac{z}{4} =1

It can also be expressed as:

10x + 4y+5z=20

We have to calculate the triple integral, therefore we must define the domain:

The values of x are given by:

0≤x≤2

We will integrate the values of y between the y = 0 axis and the line formed when z = 0:

z=0 ⇒ 10x + 4y=2 ⇒ y=\frac{20-10x}{4} =

0\leq y \leq 5-\frac{5}{2}x

We will integrate the values of z between the plane z = 0 and the plane 10x + 4y+5z=20

10x + 4y+5z=20 ⇒ z=\frac{20-10x-4y}{5} =4-2x-\frac{4}{5}y

0\leq z \leq  4-2x-\frac{4}{5}y

The volume of the tetrahedron is:

\int\limits^{2}_{0} \ \ \ \int\limits^{5-\frac{5}{2} x}_{0} \ \ \ \int\limits^{4-2x-\frac{4}{5}y }_{0} {z} \, dz\, dy \,dx

\int\limits^{2}_{0} \ \ \ \int\limits^{5-\frac{5}{2} x}_{0} \frac{z^2}{2}|^{4-2x-\frac{4}{5}y}_0\, dy \,dx

\frac{z^2}{2}|^{z=4-2x-\frac{4}{5}y}_{z=0}=\frac{5}{25}(5x+2(y-5))^2

\int\limits^{2}_{0} \ \ \ \int\limits^{5-\frac{5}{2} x}_{0} {\frac{5}{25}(5x+2(y-5))^2}\, dy \,dx

\int\limits^{2}_{0} {-\frac{25}{6}(x-2)^3} dx=-\frac{25}{24} (x-2)^4|^{2}_{0}=\frac{50}{3}

6 0
4 years ago
What is 16/14 in mixed number
STALIN [3.7K]

Answer:

1 2/14

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Please help me, will mark brainliest for correct answers.....
Alexandra [31]

Answer:

1. B) 5.7

2. A) 12

3. A) 11.4

4. A) 5.7

5. A) 16.2

6. A) 11.2

7. No, they do not form a right triangle

8. Yes, they do form a right triangle

Step-by-step explanation:

Extra tip: The hypotenuse has to be less than both sides added together, but cannot be more than either of the sides alone.

1.

16² + b² = 17²

256 + b² = 289

256 - 256 + b² = 289 - 256

b² = 33

√b² = √33

b = 5.74 or 5.7

2.

16² + b² = 20²

256 + b² = 400

256 - 256 + b² = 400 - 256

b² = 144

√b² = √144

b = 12

3.

7² + 9² = c²

49 + 81 = c²

130 = c²

√130 = √c²

11.40 or 11.4 = c

4.

7² + b² = 9²

49 + b² = 81

49 - 49 + b² = 81 - 49

b² = 32

√b² = √32

b = 5.65 or 5.7

5.

a² + 5² = 17²

a² + 25 = 289

a² + 25 - 25 = 289 - 25

a² = 264

√a² = √264

a = 16.24 or 16.2

6.

10² + b² = 15²

100 + b² = 225

100 - 100 + b² = 225 - 100

b² = 125

√b² = √125

b = 11.18 or 11.2

7.

15² + 8² = 16²

225 + 64 = 256

289 ≠ 256

8.

5² + 12² = 13²

25 + 144 = 169

169 = 169

8 0
3 years ago
2/5 x 2/3???????????​
Lady bird [3.3K]

<u>Equation/Question:</u>

2/5 x 2/3 = ?

<u>Answer/Steps to answer:</u>

1. Use this rule: a/b x c/d = ac/bd

2x2/5x3

2. Simplify  2×2  to 4.

4/5x3

3. Simplify 5×3  to 15.

<u>4/15</u>

<u></u>

<u>Done by NeighborhoodDealer</u>

6 0
3 years ago
Roxanne buys a book about animals during the sale. If the original price was $8, how much does Roxanne pay?
Sav [38]

well if it's a 50% off sale then $4

7 0
4 years ago
Read 2 more answers
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