3 years ago

Find the radius of a circle with an area of 615.75 square kilometers.

Mathematics

1 answer:

Mila [183]3 years ago

7 0

To work out radius use this

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Evaluate the line integral, where C is the given curve. (x + 4y) dx + x2 dy, C C consists of line segments from (0, 0) to (4, 1)

zubka84 [21]

Parameterize the line segments (call them $C_1$ and $C_2$ , respectively, by

$\vec r_1(t)=(1-t)(0,0)+t(4,1)=(4t,t)$

$\vec r_2(t)=(1-t)(4,1)+t(5,0)=(4+t,1-t)$

both with $0\le t\le1$ . Then

$\displaystyle\int_C(x+4y)\,\mathrm dx+x^2\,\mathrm dy$

$=\displaystyle\int_0^1\bigg((4t+4t)(4)+(4t)^2(1)\bigg)\,\mathrm dt+\int_0^1\bigg((4+t+4(1-t))(1)+(4+t)^2(-1)\bigg)\,\mathrm dt$

$=\displaystyle\int_0^115t^2+21t-8\,\mathrm dt=\boxed{\frac{15}2}$

6 0

3 years ago

A 2-gallon bottle of fabric softener costs $16.64. What is the price per cup?

Burka [1]

Answer:

each cup would cost $0.52

Step-by-step explanation:

there are 16 cups in 1 gallon so you multiply that by two. Then you have 32 so you divide 16.64 by 32 and you end up with 0.52. hope this helped :))

Tell me I got this wrong

3 0

2 years ago

Help me with this for 50 points.

inn [45]

Answer:

1/2 or 1:2

Step-by-step explanation:

3 circles to 6 squares

3/6 simplified is 1/2

6 0

2 years ago

two lines in a system of equations with one solution have slopes that must be the same or different ?

Svet_ta [14]

Answer:

same

Step-by-step explanation:

same solution means same slope

3 0

2 years ago

Ten times the square of a non-zero number is equal to fifty times the number. what is the number?

lys-0071 [83]

10x^2 = 50x.....subtract 50x from both sides
10x^2 - 50x = 0...factor
10x(x - 5) = 0

10x = 0
x = 0 <== this one is eliminated because x cannot be zero

x - 5 = 0
x = 5 <== ur answer

4 0

3 years ago