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
Rus_ich [418]
3 years ago
10

The length of a rectangle is 7 more than the width. The area is 744 sqaure yards, find the length and width of the rectangle

Mathematics
1 answer:
Lina20 [59]3 years ago
4 0

The length of rectangle is 31 yards and width is 24 yards.

Step-by-step explanation:

Given,

Width of rectangle = w

Length of rectangle = w+7

Area of rectangle = 744 square yards

Area = Length * width

744=w(w+7)\\744=w^2+7w\\0=w^2+7w-744\\w^2+7w-744=0

Factorizing the equation

w^2+31w-24w-744=0\\w(w+31)-24(w+31)=0\\(w+31)(w-24)=0

Either,

w+31=0,    =>w= -31

Or,

w-24=0     =>w=24

As width cannot be negative, therefore,

Width = 24 yards

Length = w+7 = 24+7 = 31 yards

The length of rectangle is 31 yards and width is 24 yards.

Keywords: area, rectangle

Learn more about rectangles at:

  • brainly.com/question/2068148
  • brainly.com/question/2119883

#LearnwithBrainly

You might be interested in
Help! open the attachment below!
gregori [183]

Answer:

yes it is

Step-by-step explanation:X=side lenghths 2/3

                                            Y=perimeter 12/18

2 time 6=12 and 3 times 6=18 and it is paraticly telling you

2/6 and 3/6 i beleve i need a lil more info

6 0
2 years ago
• a helicopter hovering at 10 m above the ground is shining a spotlight at a person 30 m away1 . if the person is 2 m tall how l
pshichka [43]

As shown in the figure

Height of helicopter above the ground=30 m

Distance from the base to the point where the person is standing=30 m

height of the person=2 m

Now the person cast the shadow of length x m.

Triangle ABC and triangle EDC are similar.

∵ ∠B= ∠D=90°

∠C is common.

So by AA similarity ΔABC and ΔEDC are similar.

As we know when triangles are similar their sides are proportional.

AB/AD =BC/DC

Let DC=x meter

⇒\frac{10}{x}=\frac{30+x}{x}

⇒5=\frac{30+x}{x}[/tex]

⇒5x=30+x

⇒4x = 30

⇒ x=30/4

⇒ x=7.5 meter

So length of shadow=7.5 meter

2. volume of a sphere of radius r is v (r) =\frac{4}{3}π r^{3}

\frac{\mathrm{d} }{\mathrm{d} r}V=4/3π×3r^2

       =4πr^2


surface area of a sphere of radius r is 4πr^2

b)  Ratio of derivative of volume of sphere to surface area of sphere=\frac{4\pi r^2}{4\pi r^2}

             =1  [ incomplete question but you have written few words ]

4 0
2 years ago
Question 4 of 5
9966 [12]

Answer: The graph crosses the x-axis at x = 2.

Step-by-step explanation:

The root has a multiplicity of 3, meaning that it crosses the x axis at x=2.

3 0
2 years ago
Choose the correct answer with the reason
icang [17]
The answer should be D
Step by Step: |2x-2| <(or equal to) 6
Add 2 on both sides should give you, |2x| < 8
Divide both sides by 2, giving you 4
Other way, is doing the same but -2
6 0
3 years ago
each month Kevin klog earns $1250 plus 0.8% of his sales last month his sales totaled $64,500. how much did Kevin earn?
Troyanec [42]


64, 500 x 0.8%=65,016.00.  He automatically earns $1250.00 a month

add the 65, 016.00 + 1250.00 and the answer would be 66 266.00

4 0
3 years ago
Other questions:
  • The lengths of trout in a lake are normally distributed with a mean of 30 inches and a standard deviation of 4.5 inches. Enter t
    9·2 answers
  • How do I solve (4x+1)(x-5)=-43x-41
    12·1 answer
  • Some atomic processes can result in the emission of an electron from the atom. Electrons emitted in this way can have discrete v
    13·1 answer
  • The volume of a cube is given by , where s is the side length of the cube. What is the difference of the volumes of two cubes wi
    6·2 answers
  • Six neighbors share 4 pies equally. How much of a pie does each neighbor get?
    8·1 answer
  • For what x-values is the graphed function decreasing?
    14·1 answer
  • Please help me please will give brainliest to anyone who is right ​
    11·1 answer
  • What is the value of x for _ x 3 = -12 ?
    8·1 answer
  • If f(x)=(x-4 +6, then f(2)= ?<br> (1) 12<br> (3) -4<br> (2) 8<br> (4) 4
    9·1 answer
  • Given right triangle def, what is the value of sin(e)? three-fifths three-fourths four-fifths four-thirds
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!