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ahrayia [7]
3 years ago
10

When 54,702 is divided by 25, the quotient is 2,188 R ___.

Mathematics
1 answer:
stich3 [128]3 years ago
4 0
The quotient is 2,188 r3
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Tính tích phân sau bằng cách dùng tọa độ cực I=∫∫ <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Csqrt%7Bx%5E%7B2%7D%20%2B
xenn [34]

It sounds like <em>R</em> is the region (in polar coordinates)

<em>R</em> = {(<em>r</em>, <em>θ</em>) : 2 ≤ <em>r</em> ≤ 3 and 0 ≤ <em>θ</em> ≤ <em>π</em>/2}

Then the integral is

\displaystyle \iint_R\frac{\mathrm dx\,\mathrm dy}{\sqrt{x^2+y^2}} = \int_0^{\pi/2}\int_2^3 \frac{r\,\mathrm dr\,\mathrm d\theta}{\sqrt{r^2}} \\\\ = \int_0^{\pi/2}\int_2^3 \mathrm dr\,\mathrm d\theta \\\\ = \frac\pi2\int_2^3 \mathrm dr \\\\ = \frac\pi2r\bigg|_2^3 = \frac\pi2 (3-2) = \boxed{\frac\pi2}

5 0
3 years ago
Which relationships are likely to have a positive association? .
uysha [10]

Answer:

A, C

Step-by-step explanation:

A. the distance traveled on a trip and the travel time  YES

B. the distance remaining on a trip and the travel time  NO

C. the amount of money spent and the the number of shirts bought  YES

D. the height of an eighth-grade student and the time to complete a puzzle  NO

E. the amount of money owed on a computer and the time making payments  NO (the amount of money owed drops with each payment made)

7 0
2 years ago
Two hundred copies can be made for $6.00.<br>What is the unit rate?​
Mekhanik [1.2K]

Answer:

.03 cents

Step-by-step explanation:

6 divided by 200 equals 0.03

5 0
3 years ago
Read 2 more answers
Calculate the simple interest earned on an investment of $26,000 at 8% p.a. Over 3 years.
Annette [7]
I=prt
I=26,000×0.08×3
I=6,240
6 0
3 years ago
The lengths of the sides of a triangle are consecutive odd integers. If the perimeter is 1 less than 4 times the shortest side,
Lubov Fominskaja [6]
Let the shortest side be x.  Then the other two sides will be x+1 and x+2.

Perimeter = P = sum of the lengths of all three sides = x  +  (x+1) + (x+2) 

This perimeter = 4x -1 (1 less than 4 times the shortest side).

Then x + x + 1 + x + 2 = 4x - 1
      or:        3x + 3         = 4x -1                 Subtr. 3x from both sides:
                                                                  3 = x - 1

x=4, x+1=5, and x+2=6

The 3 sides have lengths 4, 5 and 6.
4 0
3 years ago
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