1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Serggg [28]
3 years ago
9

The length of a rectangular plot of land is 10 yards more than its width if the area of the land is 600 yd.² find the dimensions

of the plot of land algebraic solution only
Mathematics
1 answer:
Andrews [41]3 years ago
6 0

Answer:

The dimension of the plot is 30 yd by 20 yd

Step-by-step explanation:

Given;

Area = 600 yd^2

Length = width + 10

l = w + 10 ......1

Area of a rectangular plot is;

Area A = length × width

A = l × w

Substituting equation 1;

A = (w+10) × w

A = w^2 + 10w

600 = w^2 + 10w

w^2 +10w -600 = 0

Solving the quadratic equation;

w = -30 or 20

cannot be negative

w = 20 yd

l = w+10 = 20+10 = 30yd

The dimension of the plot is 30 yd by 20 yd

You might be interested in
A bolt has 16 1/2 turns per inch. How many turns would be in 2 1/2 inches of thread?
Kazeer [188]
We know that one inch has 16.5 turns.
To know the number of turns in 2.5 inches of thread, we will simply do a cross multiplication as follows:
number of turns = (2.5 x 16.5) / 1 = 41.25 turns
3 0
3 years ago
Read 2 more answers
Find the Fourier series of f on the given interval. f(x) = 1, ?7 < x < 0 1 + x, 0 ? x < 7
Zolol [24]
f(x)=\begin{cases}1&\text{for }-7

The Fourier series expansion of f(x) is given by

\dfrac{a_0}2+\displaystyle\sum_{n\ge1}a_n\cos\frac{n\pi x}7+\sum_{n\ge1}b_n\sin\frac{n\pi x}7

where we have

a_0=\displaystyle\frac17\int_{-7}^7f(x)\,\mathrm dx
a_0=\displaystyle\frac17\left(\int_{-7}^0\mathrm dx+\int_0^7(1+x)\,\mathrm dx\right)
a_0=\dfrac{7+\frac{63}2}7=\dfrac{11}2

The coefficients of the cosine series are

a_n=\displaystyle\frac17\int_{-7}^7f(x)\cos\dfrac{n\pi x}7\,\mathrm dx
a_n=\displaystyle\frac17\left(\int_{-7}^0\cos\frac{n\pi x}7\,\mathrm dx+\int_0^7(1+x)\cos\frac{n\pi x}7\,\mathrm dx\right)
a_n=\dfrac{9\sin n\pi}{n\pi}+\dfrac{7\cos n\pi-7}{n^2\pi^2}
a_n=\dfrac{7(-1)^n-7}{n^2\pi^2}

When n is even, the numerator vanishes, so we consider odd n, i.e. n=2k-1 for k\in\mathbb N, leaving us with

a_n=a_{2k-1}=\dfrac{7(-1)-7}{(2k-1)^2\pi^2}=-\dfrac{14}{(2k-1)^2\pi^2}

Meanwhile, the coefficients of the sine series are given by

b_n=\displaystyle\frac17\int_{-7}^7f(x)\sin\dfrac{n\pi x}7\,\mathrm dx
b_n=\displaystyle\frac17\left(\int_{-7}^0\sin\dfrac{n\pi x}7\,\mathrm dx+\int_0^7(1+x)\sin\dfrac{n\pi x}7\,\mathrm dx\right)
b_n=-\dfrac{7\cos n\pi}{n\pi}+\dfrac{7\sin n\pi}{n^2\pi^2}
b_n=\dfrac{7(-1)^{n+1}}{n\pi}

So the Fourier series expansion for f(x) is

f(x)\sim\dfrac{11}4-\dfrac{14}{\pi^2}\displaystyle\sum_{n\ge1}\frac1{(2n-1)^2}\cos\frac{(2n-1)\pi x}7+\frac7\pi\sum_{n\ge1}\frac{(-1)^{n+1}}n\sin\frac{n\pi x}7
3 0
2 years ago
Please help, idk how to do this
Leni [432]

Answer:

D. 180 degrees

Step-by-step explanation:

A straight line is 180 degrees.

3 0
3 years ago
Read 2 more answers
If 5 times a number plus two is 17 what is the number​
sweet [91]

Answer:

3

Step-by-step explanation:

by question

5x+2=17

5×=15

×=3

8 0
3 years ago
Read 2 more answers
What is the equation and how do you figure it out?
Marrrta [24]
The equation is y=2x-2
To find the x-value you take any two pairs of value such as (-2,-3) and (0,-2) and you just use y1-y2/x1-x2. And for y-value you just see when x is zero
6 0
2 years ago
Other questions:
  • 50 POINTS PLZZZZZ HELP NOW I NEED FULL EXPLANATION AND RIGHT ANSWERS
    15·2 answers
  • A rectangular football field is 64 meters wide and 100 meters long. A player runs from one corner of the firmed in a diagonal li
    7·2 answers
  • Fill in the Blank: When evaluating an observational study, the four factors that should be reviewed are Introduction, Methodolog
    12·2 answers
  • Determine if sequence is arithmetic or geometric. Then find the next term in the sequence. Select all that apply. 2, 10, 50, 250
    7·2 answers
  • Simplify sine squared theta divided by the quantity 1 minus sine squared theta..
    15·1 answer
  • If k= [-2 9 -8 7 11 6 4 4 -3] then what is -k?
    10·2 answers
  • Convert 192 ounces to pounds. Round to the nearest hundredth if necessary.<br> QUICK PLEASE
    8·2 answers
  • ANY MATH EXPERTS PLS HELP RN I GOT 30 MIN LEFT I PUT 100 POINTS
    6·2 answers
  • !ugshjdjhsdh sjdgjhds jsdghjhsbjhsgfhdhfgff<br><br>..
    12·1 answer
  • PQ and QR are 2 sides of a regular 10-sided polygon
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!