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
Temka [501]
3 years ago
6

a rectangular lawn of dimensions 6x metres by x metres. In the centre is a rectangular flower bed of length (x + 4) m and width

(x - 1) m. If the area of the shaded region is 40 m’, calculate the area of the flower bed.​
Mathematics
1 answer:
alexira [117]3 years ago
3 0

Answer:

The area of flower bed is 8.96 m^2.

Step-by-step explanation:

Length of lawn = 6 x

width of lawn = x

length of flower bed = x + 4

width of flower bed = x - 1

Area of shaded region = 40 m^2

Area of the shaded region

6 x (x) - (x +4)(x -1) = 40

5 x^2 - 3 x - 36 = 0 \\\\x = \frac{-3\pm\sqrt{9 + 720}}{10}\\\\x = \frac{-3\pm 27}{10}=2.4 m, - 3 m

As length cannot have negative value, so x = 2.4 m.

Area of flower bed = (x + 4)(x - 1) = (2.4 + 4)(2.4 - 1) = 8.96 m^2

You might be interested in
Amanda’s hair grew 3/4 in. in 1 1/2 months? How long did her hair grow in one month?
Gnom [1K]

Answer:

1/2 a inch was this helpful

6 0
3 years ago
If n is an integer, which conjecture is not true about 2n– 1? A. 2n– 1 is odd if n is positive. B. 2n– 1 is always even. C. 2n–
VladimirAG [237]
B.



Let's simply look at each conjecture and determine if it's true or false.



A. 2n– 1 is odd if n is positive: Since n is an integer, 2n will always be even. And an even number minus 1 is always odd. Doesn't matter if n is positive or not. So this conjecture is true.



B. 2n– 1 is always even: Once again, 2n will always be even. So 2n-1 will always be odd. This conjecture is false.



C. 2n– 1 is odd if n is even: 2n is always even, so 2n-1 will always be odd, regardless of what n is. So this conjecture is true.



D. 2n– 1 is always odd: 2n will always be even. So 2n-1 will always be odd. Once again, this conjecture is true.



Of the 4 conjectures above, only conjecture B is false. So the answer is B.
6 0
3 years ago
Graphs which present the values on the horizontal axis and the number of times this occurs on the vertical axis are known as wha
Ivanshal [37]

Answer:

The horizontal axis represents TIME

Step-by-step explanation:

In a time-series plot, the horizontal axis represents time, and the vertical axis represents the value of the variable we are measuring. -The values of the variable are plotted at each of the times, then the points are connected with straight lines.

3 0
3 years ago
2 1/4 - 1 2/3 as a mixed number?
Gnom [1K]
Answer:

7/12

Step-by-step explanation:

2 1/4 - 1 2/3 =

2 3/12 - 1 8/12 =

7/12
5 0
3 years ago
_ 1. If U = {1,2,3,4,5) and A= {2,4} then A' should be?
kirza4 [7]

If U={1,2,3,4,5) and A={2,4) then A' should be

Ans» d.{1,3,5}

4 0
3 years ago
Other questions:
  • Ethan's school has a sports field with an area of 6,450.35 square yards. If the length of the field is 90.85 yards, what is the
    8·2 answers
  • Algebra 2 need help on answer ( A,B,C )
    13·1 answer
  • When making financial decisions, it is important that you critically evaluate the source. True False
    14·1 answer
  • What number has 10 tens 0 ones?
    14·1 answer
  • If costheta=4/5 then what is sec^2theta
    13·1 answer
  • Mr grant needs 30 pieces of felt he can buy them in packs of 10 or as single pieces what are the different ways mr
    12·1 answer
  • When two pipes fill a pool together, they can finish in 5 hours. If one of the pipes fills half the pool then the other takes ov
    10·1 answer
  • Explain! Prize! Thank you!!!!
    14·2 answers
  • What is the slope<br> of the graph?
    11·1 answer
  • A pitcher coming back from an injury limits the number of pitches thrown in bull pen sessions as shown.
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!