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
sukhopar [10]
3 years ago
7

The length of a rectangular garden is 3 yards more than its width. The area of the garden is 40 square yards. Find the length of

the garden.

Mathematics
1 answer:
Goryan [66]3 years ago
4 0

Answer:

length=8 , wide=5

Step-by-step explanation:

Let length=x and wide=y

convert the question into two equations

3+y=x .......1

xy=40 .......2

so we need to substitute x into y or y into x

x=3+y ,

(3+y)y=40

y²+3y=40

y²+3y-40=0

from that use calculator or manually factorise it

(y+8)(y-5)=0

y= –8 , y=5

we need to choose positive answer so y=5

then find for x

5x=40

x=8

You might be interested in
1+3 what is 1 plus 3
Tems11 [23]

Answer:78.

I am just correct my guy

4 0
3 years ago
Suppose you have one pyramid with a base that is 10 meters long and 10 meters wide with a slant that is 15 meters. Now, if the l
marishachu [46]

Answer:

The difference between area of pyramids is 125 sq.m.

Step-by-step explanation:

Length of base = 10m

Breadth of base = 10 m

Slant height = 15 m

Area of pyramid = Area of 5 bases

Area of pyramid = \frac{1}{2} \times 10 \times 15+\frac{1}{2} \times 10 \times 15+\frac{1}{2} \times 10 \times 15+\frac{1}{2} \times 10 \times 15+10 \times 10

Area of pyramid = 400 sq.m.

Now the length of base is increased to 15

Length of base = 15m

Breadth of base = 10 m

Slant height = 15 m

Area of pyramid = Area of 5 bases

Area of pyramid =\frac{1}{2} \times 15 \times 15+\frac{1}{2} \times 15 \times 15+\frac{1}{2} \times 10 \times 15+\frac{1}{2} \times 10 \times 15+10 \times 10

Area of new pyramid = 525 sq.m.

Difference between area of pyramids=525 sq.m. - 400 sq.,. = 125 sq.m.

Hence The difference between area of pyramids is 125 sq.m.

4 0
4 years ago
Guys you are awesome. Can you help me again?
salantis [7]
The correct answer is B
8 0
3 years ago
Sara is working on a Geometry problem in her Algebra class. The problem requires Sara to use the two quadrilaterals below to ans
zloy xaker [14]
Part A:

Given a square with sides 6 and x + 4. Also, given a rectangle with sides 2 and 3x + 4

The perimeter of the square is given by 4(x + 4) = 4x + 16

The area of the rectangle is given by 2(2) + 2(3x + 4) = 4 + 6x + 8 = 6x + 12

For the perimeters to be the same

4x + 16 = 6x + 12
4x - 6x = 12 - 16
-2x = -4
x = -4 / -2 = 2

The value of x that makes the <span>perimeters of the quadrilaterals the same is 2.



Part B:

The area of the square is given by

Area=(x+4)^2=x^2+8x+16

The area of the rectangle is given by 2(3x + 4) = 6x + 8

For the areas to be the same

x^2+8x+16=6x+8 \\  \\ \Rightarrow x^2+8x-6x+16-8=0 \\  \\ \Rightarrow x^2+2x+8=0 \\  \\ \Rightarrow x= \frac{-2\pm\sqrt{2^2-4(8)}}{2}  \\  \\ = \frac{-2\pm\sqrt{4-32}}{2} = \frac{-2\pm\sqrt{-28}}{2}  \\  \\ = \frac{-2\pm2i\sqrt{7}}{2} =-1\pm i\sqrt{7}

Thus, there is no real value of x for which the area of the quadrilaterals will be the same.
</span>
7 0
4 years ago
A scuba diver returning to the surface swims to move up quickly, then waits a few meters below the surface to avoid pressure iss
otez555 [7]

Answer:

See below

Step-by-step explanation:

<u>Given:</u>

  • f(x)= { 3x+1, if −9 < x ≤ −2
  • f(x)= {−5, if. −2 < x ≤ 1
  • f(x)= { x−6, if 1 < x < 7

<u>Combination of domain for the function is the following union:</u>

  • (-9, 2]∪ (-2, 1]∪(1, 7)  = (-9, 7)

<u>Group of answer choices:</u>

The domain is the depth interval (−26, 1).

  • incorrect as (-26, -9) interval is not covered in given function

The domain is the depth interval (−9, 1].

  • incomplete range

The domain is the set of times −9 < x < −2, −2 < x < 1, and 1 < x < 7.

  • incorrect as doesn't include x = -2 and x = 1

The domain is the time interval (−9, 7).

  • This is correct as it is same with the domain set we got above.

3 0
3 years ago
Other questions:
  • Simplify 6 to the negative 3rd power over 6 to the 5th. 68 6−2 1 over 6 to the 8th power 1 over 6 to the 2nd power
    8·2 answers
  • Melissa needs to wrap a gift box that is shaped like a rectangular prism. The length is 6 inches, the width is 6 inches and the
    7·1 answer
  • Simplify by dividing -5/8 divided by -3/4
    8·2 answers
  • 1.
    15·2 answers
  • Identify the domain and the range <br> (1,-4),(2,-3,),(3,-2),(4,1),(5,0)
    6·1 answer
  • What is the area of a rectangle with vertices located at (-1, 1), (-1, - 4), (5. – 4), and (5, 1)?
    10·1 answer
  • At 8:00 A.M., the temperature is 53 °F. At 11:00 A.M., it is 69 °F.
    7·1 answer
  • When Adrian commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 24 minutes and a
    9·1 answer
  • help A clothing store uses a markup of 60% on all items they purchase to sell. What is the retail price of a pair of shoes that
    12·2 answers
  • MATH PHYS PLEASE HELP MATH PHYS MATH PHYS HELPPPPPPPP PLEASEEE MAYH PHYS
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!