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Ahat [919]
3 years ago
11

One acre is equivalent to 43,560 square feet. If an acre is also equivalent 1o 4,840 square yards, how many square yards, how ma

ny square feet are equal to one square yard?
Mathematics
1 answer:
qwelly [4]3 years ago
8 0
9 sq ft = 1 sq yd

There's 3ft in a yard sq means 3x3=9
Check 4840 sq yds x9= 43,560 sq ft
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How to solve 2x-y=17;x-y=10
Nataliya [291]
The answer is that y is equal to -3 and x is equal to 7 
2x-y=17
-2(x-y)=10 )
--------------
2x-y=17
-2x+2y=-20
----------------
y=-3

x-y=10 
x-(-3)=10
x+3=10
 -3   -3
----------
x=7



8 0
3 years ago
Use Simpson's Rule with n = 10 to approximate the area of the surface obtained by rotating the curve about the x-axis. Compare y
DiKsa [7]

The area of the surface is given exactly by the integral,

\displaystyle\pi\int_0^5\sqrt{1+(y'(x))^2}\,\mathrm dx

We have

y(x)=\dfrac15x^5\implies y'(x)=x^4

so the area is

\displaystyle\pi\int_0^5\sqrt{1+x^8}\,\mathrm dx

We split up the domain of integration into 10 subintervals,

[0, 1/2], [1/2, 1], [1, 3/2], ..., [4, 9/2], [9/2, 5]

where the left and right endpoints for the i-th subinterval are, respectively,

\ell_i=\dfrac{5-0}{10}(i-1)=\dfrac{i-1}2

r_i=\dfrac{5-0}{10}i=\dfrac i2

with midpoint

m_i=\dfrac{\ell_i+r_i}2=\dfrac{2i-1}4

with 1\le i\le10.

Over each subinterval, we interpolate f(x)=\sqrt{1+x^8} with the quadratic polynomial,

p_i(x)=f(\ell_i)\dfrac{(x-m_i)(x-r_i)}{(\ell_i-m_i)(\ell_i-r_i)}+f(m_i)\dfrac{(x-\ell_i)(x-r_i)}{(m_i-\ell_i)(m_i-r_i)}+f(r_i)\dfrac{(x-\ell_i)(x-m_i)}{(r_i-\ell_i)(r_i-m_i)}

Then

\displaystyle\int_0^5f(x)\,\mathrm dx\approx\sum_{i=1}^{10}\int_{\ell_i}^{r_i}p_i(x)\,\mathrm dx

It turns out that the latter integral reduces significantly to

\displaystyle\int_0^5f(x)\,\mathrm dx\approx\frac56\left(f(0)+4f\left(\frac{0+5}2\right)+f(5)\right)=\frac56\left(1+\sqrt{390,626}+\dfrac{\sqrt{390,881}}4\right)

which is about 651.918, so that the area is approximately 651.918\pi\approx\boxed{2048}.

Compare this to actual value of the integral, which is closer to 1967.

4 0
3 years ago
Find the approximate length of the track, including the straight and circular sections
puteri [66]

Answer:

mannn u figure it out

Step-by-step explanation:

6 0
3 years ago
A<br> B<br> C<br> D<br> need this to be right!!!!!
dezoksy [38]
The correct answer is C!!


Hope this helped!!!
7 0
3 years ago
Read 2 more answers
Help me with this question
shutvik [7]

D. 1/6

0.16=1/6

So answers is D

6 0
3 years ago
Read 2 more answers
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