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
Naya [18.7K]
3 years ago
9

Sam wants to build a wooden deck on his patio, which is in the shape of a parallelogram. The area of the patio is 280 ft 2. Find

the base.
Mathematics
1 answer:
Radda [10]3 years ago
4 0

Answer: The base is 18.3ft

Sam wants to build a wooden deck on his patio, which is in the shape of a parallelogram. The area of the patio is 280 ft2. Find the base. Round your answer to the nearest foot. (height=5x)(base=6x)

Step-by-step explanation:

Given;

Area = 280ft^2

height = 5x

Base = 6x

The area of the parallelogram A can be written as;

Area = base × height

A = b×h

Substituting the values of Area, base and height.

280 = 5x × 6x

280 = 30x^2

x^2 = 280/30

x = √(280/30)

Since the base = 6x ;

Substituting the value of x.

Base = 6x = 6(√(280/30))

Base = 18.3ft

The base is 18.3ft

You might be interested in
Factor the polynomial completely. Use synthetic division. <br><br> F(x) = x^3-7x-6
aleksklad [387]

Answer:

The factors of given polynomial    x =-1 , -2 and x =3

Step-by-step explanation:

<u><em>Step(i):</em></u>-

Given the polynomial  

                    f(x) =  x³ - 7x -6

 put x =-1

               f(-1) = (-1 )³- 7(-1) - 6 = -1+7-6=0

(x+1) is a one factor

By using synthetic division

                   x³    x²      x      constant

     x=-1  ↓   1      0      -7        -6

             <u>↓   0     -1      1          6</u>

            <u>       1       -1      -6       0     </u>

<u />

<em>The polynomial    x² - x - 6 </em>

<u><em>Step(ii):-</em></u>

The factors ( x+1)(x² - x - 6 ) = 0

     x = -1 and x² - x - 6 =0

    x =-1    and  x² - 3x + 2 x - 6 =0

   x =-1     and  x (x -3) + 2( x-3) =0

   x =-1     and  (x+2)(x-3) =0

<u><em>Final answer:-</em></u>

The factors of given polynomial    x =-1 , -2 and x =3

6 0
3 years ago
A couch, a love seat, and a chair cost $1565. The couch costs twice as much as the chair, and the love seat costs $400 more than
Brilliant_brown [7]
The answer to the question is 1565÷400=3.9125
6 0
3 years ago
Jim's backyard is a rectangle that is 15 5/6 yards long and 10 2/5 yards wide. Jim buys sods in pieces that are 1 1/3 yards long
Ne4ueva [31]

We are given

Jim's backyard:

Length is

L=15\frac{5}{6} =\frac{95}{6} yards

width is

W=10\frac{2}{5} =\frac{52}{5} yards

Since, this is rectangle

so, we can find area of rectangle

A=L*W

A=(\frac{95}{6})*(\frac{52}{5})

A=\frac{494}{3} yard^2

Area of one sod:

length is

l=1\frac{1}{3} =\frac{4}{3} yards

width is

w=1\frac{1}{3} =\frac{4}{3} yards

Since, it is rectangle in shape

so,

Area=l*w

A=\frac{4}{3}*\frac{4}{3}

A=\frac{16}{9}yard^2

Number of pieces of sod:

we can use formula

Number of pieces of sod = (area of Jim's backyard)/(area of one sod)

N=\frac{\frac{494}{3} }{\frac{16}{9} }

now, we can simplify it

N=\frac{741}{8} pieces need ..............Answer

7 0
3 years ago
The steepness or grade of a road is expressed as a percent. if a road rises 6feet for every 24 horizontal feet. What is the slop
anygoal [31]

Answer:

  25%

Step-by-step explanation:

The ratio of rise to run is ...

  rise/run = 6 ft/24 ft = 1/4

Expressed as a percentage, this is ...

  1/4 × 100% = 25%

_____

<em>Comment on this grade</em>

Interstate highways are limited to a 7% grade. Most local jurisdictions limit the grade of a road to somewhere between 12% and 15%.

7 0
3 years ago
Read 2 more answers
7.1 + 16.04 – .2 = ? <br><br>       A. 23.34   B. 2.294   C. 23.12   D. 22.94
tamaranim1 [39]
The answer you're looking for my good lad is C
6 0
3 years ago
Read 2 more answers
Other questions:
  • Evaluate the expression 1000(2^1.9).... with no calculator
    9·1 answer
  • What is the sum of (7x-6y) and (x + y)
    6·1 answer
  • pediatricians prescribe 5 ml of cough syrup for every 25 lb of a child’s weight . How many millimeters of cough syrup will the d
    10·1 answer
  • Suzy spent 6 7/8 days working on her English paper, 3 1/6 days doing her science project, and 1 1/2 days studying for her math t
    7·1 answer
  • Alex wants to have $3000 in his bank account after 4 years. If the account earns 6% interest compounded 2 times per year, how mu
    6·2 answers
  • Multiply the sum of 1 and 2 by 3 and write the answer in ten place
    5·1 answer
  • For the rational function f(x)= 5x3-x/2x3 , identify any removable discontinuities.
    15·1 answer
  • Which point is best represented by the ordered pair (2, -5.5)?
    8·1 answer
  • <img src="https://tex.z-dn.net/?f=4%20x%202%2F3%20%3D" id="TexFormula1" title="4 x 2/3 =" alt="4 x 2/3 =" align="absmiddle" clas
    5·1 answer
  • How to answer this question ?<br>​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!