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IrinaK [193]
3 years ago
10

Calculate the surface area of the object below

Mathematics
1 answer:
Yakvenalex [24]3 years ago
8 0

Answer:

<h2>351. 86 yd² </h2>

Step-by-step explanation:

As = 2πrh + 2πr²

where r = 4,  h = 10

plugin values into the equation:

As = 2π (4) 10 + 2 π (4)²

As = 251.33 + 100.53

As = 351. 86 yd²

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The clock below shows time that lance got home from school. 3:32. What time did he get home A: seventeen minutes before three B:
navik [9.2K]

Answer:

If Lance got home from school at 3:32 p.m. A and B both represent:

A: seventeen minutes before 3 would be before 3 o'clock even happens

B: 28 minutes before 4 would make more sense, since 3:32 is before 4 o'clock

Lance got home 28 minutes before 4

Hope this helps ;)

5 0
3 years ago
15PTS!!!! HELPPPP!!! Determine the length of fencing around an 80 m by 170 m rectangular playing field if fence is to be 25 m ou
marshall27 [118]
Perimeter=2L+2W, in this case L=80+2(25) and W=170+2(25) so

P=2(L+W)=2(80+50+170+50)

P=2(350)=700m
5 0
3 years ago
A markdown that is less than 1%
Alexxx [7]
Then mark it down by less then 1%, of by whatever the number would be. 
8 0
3 years ago
Find gradient <br><br>xe^y + 4 ln y = x² at (1, 1)​
cricket20 [7]

xe^y+4\ln y=x^2

Differentiate both sides with respect to <em>x</em>, assuming <em>y</em> = <em>y</em>(<em>x</em>).

\dfrac{\mathrm d(xe^y+4\ln y)}{\mathrm dx}=\dfrac{\mathrm d(x^2)}{\mathrm dx}

\dfrac{\mathrm d(xe^y)}{\mathrm dx}+\dfrac{\mathrm d(4\ln y)}{\mathrm dx}=2x

\dfrac{\mathrm d(x)}{\mathrm dx}e^y+x\dfrac{\mathrm d(e^y)}{\mathrm dx}+\dfrac4y\dfrac{\mathrm dy}{\mathrm dx}=2x

e^y+xe^y\dfrac{\mathrm dy}{\mathrm dx}+\dfrac4y\dfrac{\mathrm dy}{\mathrm dx}=2x

Solve for d<em>y</em>/d<em>x</em> :

e^y+\left(xe^y+\dfrac4y\right)\dfrac{\mathrm dy}{\mathrm dx}=2x

\left(xe^y+\dfrac4y\right)\dfrac{\mathrm dy}{\mathrm dx}=2x-e^y

\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{2x-e^y}{xe^y+\frac4y}

If <em>y</em> ≠ 0, we can write

\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{2xy-ye^y}{xye^y+4}

At the point (1, 1), the derivative is

\dfrac{\mathrm dy}{\mathrm dx}\bigg|_{x=1,y=1}=\boxed{\dfrac{2-e}{e+4}}

4 0
3 years ago
Area of a regular hexagon with an apothem of 15 cm
Anton [14]

Answer:

area = 779.4 cm²

Step-by-step explanation:

divide it into 6 equal equilateral triangles. Each corner of a triangle will be 60°.

tan 60° = 15/x

1.7321 = 15/x

x = 8.66 (this is one-half of the base of the triangle)

base = 17.32 cm

area of one triangle = 1/2(17.32)(15) = 129.9 cm²

129.9(6) = 779.4 cm²   (because 6 triangles make up the hexagon)

8 0
3 years ago
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