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nignag [31]
2 years ago
14

SOMEONE CAN HELP ME , PLEASE I NEED THIS NOW

Mathematics
2 answers:
seraphim [82]2 years ago
8 0

Answer:

You have 2 shapes, a rectangle and a half circle.

Area of rectangle = 3 x 8 = 24

Area of a half circle = 1/2 x pi x r^2

Area of half circle = 1/2 x 3.14 x 4^2

Area of half circle = 25.12

Total area = 24 + 25.12 = 49.12 square units

finished

Rudik [331]2 years ago
5 0

You have 2 shapes, a rectangle and a half circle.

Area of rectangle = 3 x 8 = 24

Area of a half circle = 1/2 x pi x r^2

Area of half circle = 1/2 x 3.14 x 4^2

Area of half circle = 25.12

Total area = 24 + 25.12 = 49.12 square units

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Evaluate the surface integral. s x ds, s is the triangular region with vertices (1, 0, 0), (0, −2, 0), and (0, 0, 12).
aniked [119]
Parameterize the surface by

\mathbf r(s,t)=(1-s)(0,0,12)+s\bigg((1-t)(1,0,0)+t(0,-2,0)\bigg)
\implies\mathbf r(s,t)=(x(s,t),y(s,t),z(s,t))=(s-st,-2st,12-12s)

where (s,t)\in(0,1)\times(0,1). We have

\|\mathbf r_s\times\mathbf r_t\|=\|(1-t,-2t,-12)\times(-s,-2s,0)\|=2\sqrt{181}s

The surface integral is then

\displaystyle\iint_Sx\,\mathrm dS=2\sqrt{181}\int_{s=0}^{s=1}\int_{t=0}^{t=1}s(s-st)\,\mathrm dt\,\mathrm ds
=\displaystyle2\sqrt{181}\left(\int_{s=0}^{s=1}s^2\,\mathrm ds\right)\left(\int_{t=0}^{t=1}(1-t)\,\mathrm dt\right)
=\dfrac{\sqrt{181}}3
7 0
3 years ago
Sue is ready to move into a new apartment. Rent is $689 per month. To move in, Sue will need to pay
Fynjy0 [20]

Answer:1700

Step-by-step explanation:

7 0
2 years ago
In which choice do all three points lie on the
spin [16.1K]

Answer:

D (1, 2), (2, 4), (4,8)

Step-by-step explanation:

Points lying on the same line:

If three points lie on the same line, the change in y has to be always the same when x changes by 1.

А. (0, 1), (-1, 3), (1, 3)

(-1,3) to (0,1): x changes by 1, y by -2

(0,1) to (1,3): x changes by 1, y by 2

So these points are not on the same line.

B. (4, 2), (2, 1), (4, -2)

Two values for y when x = 4, so not on the same straight line.

C (0, 0), (8, 0), (0, 8)

Two values for y when x = 0, so not on the same straight line.

D (1, 2), (2, 4), (4,8)

Here, when x changed by 1(from 1 to 2), y changed by 2.

When x changed by 2(from 2 to 4), y changed by 2*2 = 4.

So these points are on a straight line, and D is the correct answer.

4 0
3 years ago
A circle has a radius of 6 feet. Calculate the area of the<br> sector formed by a central 30° angle
Tems11 [23]

Answer:

The area of the sector is 9.43 ft^2

Step-by-step explanation:

Here, we want to find the area of the sector with a central angle of 30 degrees

To do this, we use the formula below;

Area of sector = theta/360 * pi * r^2

theta = central angle = 30 degrees

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Thus, we have it that;

Area of sector = 30/360 * pi * 6^2

= 30/10 * pi = 3 * 3.142 = 9.43 ft^2

6 0
3 years ago
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