All categories

3 years ago

The length of the _ of the rectangular region approximates the length of the __ of the circle.

Mathematics

1 answer:

leonid [27]3 years ago

7 0

Area, Area

Step-by-step explanation:

The rectangle and the circle are connected via this relationship.

Triangle area equals Circle area

You might be interested in

CAN SOMEONE HELP A DUMMY OUT PLZ

BaLLatris [955]

9514 1404 393

Answer:

5.3

Step-by-step explanation:

The formula for the area of a triangle is ...

A = 1/2bh . . . . where b is the base length and h is the height.

The figure gives an area and shows b=h, so we have ...

14 ft² = 1/2(h)(h)

28 ft² = h² . . . . . . . . . multiply by 2

h = √28 ft ≈ 5.3 ft . . . . . take the square root

3 0

3 years ago

Evaluate the line integral: Int(x^2 dx +y^2 dy) ∫Cx2dx+y2dy C consists of the arc of the circle x^2+y^2=4 from (2,0) to (0,2) fo

pychu [463]

The first part of the arc $C$ can be parameterized by

$C_1:\mathbf r(t)=\langle 2\cos t,2\sin t\rangle$

with $0\le t\le\dfrac\pi2$ , and the second part by

$C_2:\mathbf s(t)=(1-t)\langle0,2\rangle+t\langle4,3\rangle=\langle4t,2+t\rangle$

with $0\le t\le 1$ .

Now the line integral can be computed.

$\displaystyle\int_{C=C_1\cup C_2}(x^2\,\mathrm dx+y^2\,\mathrm dx)=\int_0^{\pi/2}\left((2\cos t)^2\dfrac{\mathrm d}{\mathrm dt}(2\cos t)+(2\sin t)^2\dfrac{\mathrm d}{\mathrm dt}(2\sin t)\right)\,\mathrm dt+\int_0^1\left((4t)^2\dfrac{\mathrm d}{\mathrm dt}(4t)+(2+t)^2\dfrac{\mathrm d}{\mathrm dt}(2+t)\right)\,\mathrm dt$
$=\displaystyle\int_0^{\pi/2}(-8\cos^2t\sin t+8\sin^2t\cos t)\,\mathrm dt+\int_0^1(64t^2+(2+t)^2)\,\mathrm dt$
$=\displaystyle-8\int_0^{\pi/2}\sin t\cos t(\cos t-\sin t)\,\mathrm dt+\int_0^1(65t^2+4t+4)\,\mathrm dt$
$=\displaystyle-4\int_0^{\pi/2}\sin2t(\cos t-\sin t)\,\mathrm dt+\int_0^1(65t^2+4t+4)\,\mathrm dt$
$=\displaystyle-2\int_0^{\pi/2}(\sin t+\sin3t-\cos t+\cos3t)\,\mathrm dt+\int_0^1(65t^2+4t+4)\,\mathrm dt$
$=\displaystyle-2\left(-\cos t-\frac{\cos3t}3-\sin t+\frac{\sin3t}3\right)\bigg|_{t=0}^{t=\pi/2}+\left(\frac{65}3t^3+2t^2+4t\right)\bigg|_{t=0}^{t=1}$
$=0+\dfrac{83}3$
$=\dfrac{83}3$

5 0

3 years ago

Please help me with this question

Basile [38]

Both graph are related because the y intercept is two and x is one but they have the same shape and y=x is 0 so the x intercept of the second graph is 2 so your answer is the middle one

7 0

4 years ago

An oil tank has a capacity of 45 gallons. At the beginning of October it is 80% full. At the end of October it is 1/3 full. How

Yakvenalex [24]

Capacity of the tank = 45 gallon
At the beginning of Oct., amount of oil in the tank = 45*0.8 = 36 gallons
At the end of Oct., amount of oil in the tank = 45*1/3 = 15 gallons
So, amount of oil used during Oct = (36-15) = 21 gallons

6 0

3 years ago

Samuel already has 56 flowers in his garden, and he can also grow 1 flower with every seed packet he uses. How many seed packets

AveGali [126]

Answer:

Step-by-step explanation:

he will need that many because if you subtract 56 from 62 you will get 6 and you need one packet per flower so.. yea. 6

5 0

3 years ago

The length of the _______________ of the rectangular region approximates the length of the ________________ of the circle.

The length of the _ of the rectangular region approximates the length of the __ of the circle.