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Lana71 [14]
2 years ago
11

3/4 / 3/5 divided. write your answer in simplest form or as a mixed number in simplest

Mathematics
1 answer:
Gnoma [55]2 years ago
6 0

Answer: 5/4

Step-by-step explanation:

do the keep change flip method

then it will be 3/4*5/3 which then equals 15/12 after that you would divide by 3 cause it is the only number that would go in evenly then the answer will be 5/4 in the simplest form

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Set up (do not evaluate) the integral which gives the volume when region bounded by curves y=Ln(x), y=2, and x=1 is revolved aro
ladessa [460]

Step-by-step explanation:

Graph the region: desmos.com/calculator/rbe6rq61a2

When the region is rotated about y=-2, the resulting shape is a horizontal, hollow cylinder.  The volume can be found with either washer method or shell method.

To use washer method, cut a thin vertical slice of the region.  Rotated around y=-2, this slice becomes a washer.  The width of this washer is dx.  The outer radius is 2 − (-2) = 4.  The inner radius is y − (-2) = y + 2.  The volume of the washer is:

dV = π (4² − (y + 2)²) dx

dV = π (4² − (ln x + 2)²) dx

The total volume is the sum of the washers from x=1 to x=e².

V = ∫ dV

V = ∫₁ᵉ² π (4² − (ln x + 2)²) dx

To instead use shell method, cut a thin horizontal slice of the region.  Rotated around y=-2, this slice becomes a cylindrical shell.  The thickness of the shell is dy.  The radius is y − (-2) = y + 2.  The width is x − 1.  The volume of the shell is:

dV = 2π (y + 2) (x − 1) dy

dV = 2π (y + 2) (eʸ − 1) dy

The total volume is the sum of the shells from y=0 to y=2.

V = ∫ dV

V = ∫₀² 2π (y + 2) (eʸ − 1) dy

6 0
2 years ago
Wat the Pythagorean theorem
alexandr402 [8]

The Pythagorean theorem:

The theorem that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.

<h2>The Pythagorean Theorem</h2><h3>Discoverer: Pythagoras</h3>

In mathematics, the Pythagorean theorem, or Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides. These calculations were discovered just as a tool of the ancient civilization of Babylonians who used it to divide up farmland; this was roughly 1,000 years before the birth of the discoverer, Pythagoras, a Greek philosopher.

The formula comes like this:
a^2+b^2=c^2

5 0
2 years ago
A number y is no more than -8
Helen [10]
The answer to this is y <= -8.
6 0
3 years ago
Any help?? (I swear I know this unit, lol - just most if this, my teacher hasn’t gone over!)
RUDIKE [14]
Your answer is D, you just have to complete the square.
8 0
3 years ago
Find the measure of the angle marked x in the diagram.<br> /22<br> x
finlep [7]

Answer:

x=79°

Step-by-step explanation:

base angles in an isosceles triangle are equal

180-22=158

158/2=79

6 0
3 years ago
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