chanda wants to put 150 square metres of garden at her backyard. This is the maximum area of garden she can have. She wants to have a rectangular area of garden with length one metre less than 3 times with the width. Find the length and width to the nearest tenth of a metre​

Answers

Answer 1

Answer:

length: 20.7 mwidth: 7.2 m

Step-by-step explanation:

Let x represent the width of the garden. Then its length is 3x-1 and its area is ...

  A = LW . . . . . . . . . . . . area of a rectangle is length times width

  A = (3x -1)(x) = 150

  3x^2 -x = 150

  x^2 -1/3x +1/36 = 50 +1/36 . . . . divide by 3 and complete the square

  x -1/6 = √(50+1/36) . . . . . . . . . take the square root

  x = (1 +√1801)/6 ≈ 7.2397 . . . width of Chanda's garden

The length will be ...

  3x -1 = 3(1 +√1801)/6 -1 = (1 +√1801)/2 -1 = (-1 +√1801)/2 ≈ 20.7191

To the nearest tenth meter, the garden is 20.7 m long and 7.2 m wide.

Chanda Wants To Put 150 Square Metres Of Garden At Her Backyard. This Is The Maximum Area Of Garden She

Related Questions

After earning your first $1000, you deposit the whole amount—$1000—into an account that grows at an interest rate of 12% annually. The earned interest is calculated and added to the account once a year.

Which function represents the amount of money in the account after t years?

(Assume that you do not make any additional deposits or withdrawals.)

Answers

Answer:

b f(t)=1000(0.12)ť

Step-by-step explanation:

Also that 1000 dollars will be 1,120 because of interest

15 points!!
I need 10-18 if you know any please help me out!!

Answers

Step-by-step explanation:

10.

angle QUR must be 180-41 = 139°

the reason : all angles on one side of the line QS around a single point (like U) must be 180°, as this represents a half-circle.

11.

the angle RUQ is larger.

the angle TUS is 90°.

therefore, SUN is 90° too. as well as TUQ and QUN.

the angle TUR is then TUS + 41 = 90+41 = 131°

and we know from 10. that QUR (or RUQ) is 139°.

therefore, RUQ is larger.

12.

when 2 lines cross, then the diagonally opposing angles are identical.

therefore,

84 = 4x

x = 21

13.

the same principle as in 10. applies.

all angles in one side of a line around a single point must be 180°.

so,

KMH + 84 = 180

KMH = 96°

14.

EBD = 90°

therefore, also ABE = 90°.

and we can imagine that BE extends straight to the other side of B having a point G there.

and then ABG = DBG = 90° as well.

and because these 90° angles and the principle of 12., we have

ABF = CBD = 90-62 = 28°

therefore,

CBE = CBD + DBE = 28 + 90 = 118°.

15.

ABF = 28°

as we calculated that in 14 already.

16.

due to the principles of 14 and 10 we have

CBA = 180 - CBD = 180 - 28 = 152°.

17.

this is not relevant to any of the pictures before.

angle A = angle B + 4

complementary angles are together 90°.

so,

A + B = 90

now we use the identity of the first equation in this main equation :

(B + 4) + B = 90

2B + 4 = 90

2B = 86

B = 43°

=>

A = B + 4 = 43 + 4 = 47°

18.

again, this is not related to any of the pictures before.

supplementary angles are together 180°.

D = 5E

D + E = 180

5E + E = 180

6E = 180

E = 30°

=>

D = 5E = 5×30 = 150°

Please answer the question the file is attached below and please answer fast

Answers

Answer:

y = -4x + 5

Step-by-step explanation:

choose 2 easy-to-read points on the line:  (0, 5) and (2, -3)

Because we have chosen the point that intersects the y-axis (0, 5) we know that the y-intercept of the line is 5.

Using equation of a line in slope-intercept form: y = mx + b (where m is the slope and b is the y-intercept):

The slope of the line = change in y ÷ change in x = (-3 - 5) ÷ (2 - 0) = -4

Therefore, y = -4x + 5

Which expression represents"6 more than x"?

Answers

Answer: x + 6

Step-by-step explanation:

The expression that represents 6 more than x is x + 6.You can also rewrite this as 6 + x, but there is no need.

Please accept my friend request.

Also, Can I please get BRAINLIEST?

Please answer both question fully.

Answers

Step-by-step explanation:

Part A

Angle measures:

a = x = z = 51° (as vertical angles and corresponding angles)b = d = y = w = 180° - 51° = 129° (as supplementary angles and corresponding angles)Part B

Supplementary angles for a linear pair and sum to 180°.

Examples are:

a and b or a and d orx and y etc.

Solution:

Given:

An angle which measures 51°

Using the given measure of an angle, we can identify all the angles.

a° = 51° (Vertically opposite angles)b° = 180 - 51 = 129° (180° angle)d° = b° = 129° (180° angle)w° = 129 (Alternate inner angles)x = a = 51° (Alternate inner angles)z = x = 51° (Vertically opposite angles)w = y = 129° 9 (vertically opposite angles)

We can tell that:

a = x = z = 51°b = d = w = y = 129°

Supplementary angles are pairs of angles that sums up to 180°.

Example of supplementary angle:

∠a and ∠b are supplementary angles because they sum up to 180°.

I need help on question 16

Answers

Answer:

more than 22

Step-by-step explanation:

last year average 21points per game

so they need at least 22 points per game to be better than last year average

to get 22 points per game average (for the first three game)

they need to score total = 22 × 3 games = 66 points

then, minus total score they need to goal

66 - 14 -30

= 22 point more to score

Can someone check this?​

Answers

Answer: Choice B

t = 0.06p

================================================

Explanation:

If we plugged in p = 2, then,

t = 0.06*p = 0.06*2 = 0.12

Showing that the point (2, 0.12) is on the diagonal line of the equation t = 0.06p

This matches with what the graph shows.

The y axis is incrementing by $0.025, aka 2.5 cents, each tickmark upward. Counting up 5 tickmarks will get you to $0.125 or 12.5 cents which is fairly close to 12 cents.

When you divided the x and y values to find the constant of variation, you divided in the wrong order. You should do y/x instead of x/y.

how many values are in the range 17 to 118?

A- 102
B- 135
C- 100
D- 67.5

Answers

Answer:

C- 100 values

Step-by-step explanation:

Answer:

102

Step-by-step explanation:

118-17+1 = 102

Jaime needs to buy a new refrigerator for his apartment. He found what he needed for $1,300 at a well-known appliance store. The store is offering two options for Jaime to finance the appliance:

Option I: A store credit card with a $1,500 limit:

1) The credit card charges 16.5% annual interest rate.

2) The minimum monthly payment is $100 plus the monthly finance charge.

3) No down payment required

4) The loan is expected to be paid off in12 months to avoid additional penalties.





Option II: The appliance store offers an installment loan for his purchase:

1) Loan charges a simple interest rate of 12.5%.

2) Loan must be paid off in 12 equal payments to avoid penalties.

3) A $300 down payment is required.

Answers

Jamie should accept the second option to buy a new refrigerator for his apartment.

What is the annual interest rate?

The annual interest rate on an amount borrowed or a loan is the increment added to the loan at a particular rate over the desired period of time.

The objective of this question is to weigh the two options and determine the best means by which Jamie could get a new refrigerator for his apartment.

Option 1:

The annual interest rate for the first card = $1300 × 16.5%

The annual interest rate = $214.5

The minimum monthly payment is $100 plus the monthly finance charge.

The monthly finance charge on a credit card can be estimated by finding the average daily balance using the Annual interest rate and the days of the billing cycle.

The monthly finance charge [tex]\mathbf{=1300\times \dfrac{0.165}{12}}[/tex]

The monthly finance charge = $17.88

Now,

The minimum monthly payment is $100 + $17.88

The minimum monthly payment for the first month = $117.88

Provided there is no down payment;

In 12 months, Jaime would have paid off the loan with an additional interest of $214.5

Total amount paid = ($117.88 × 12)+$247.5

= $1629.06

Option 2.

The appliance store offers an Installment loan;

The loan charges a simple interest rate of 12.5%;

Using;

[tex]\mathbf{S.I = \dfrac{PRT}{100}}[/tex]

Since the loan must be paid in 12 equal payments, we can say the loan is paid monthly which is equivalent to 1 year.

i.e.

Time (T) = 1 year

[tex]\mathbf{S.I = \dfrac{1300 \times 12.5 \times 1}{100}}[/tex]

S.I = $162.5

Given that;

The down payment = $300

In the total amount of $1300, Jamie has an outstanding amount of $1000 to pay.

Thus, In 12 equal payment times,

Jamie gets to pay = $1000/12

Jamie gets to pay = $83.33 each time.

Total amount paid = $162.5 + 1300

Total amount paid = $1462.5

Therefore, we can conclude that Jamie should accept the second option to buy a new refrigerator for his apartment since the total amount paid in option 2 is lesser than that of option 1.

Learn more about the annual interest rate here:

https://brainly.com/question/4330867

PLEASE PLEASE HELP AND PLEASE

Answers

Answer:

Step-by-step explanation:

Part A is -6  

Because 7 - 13 is -6 so at 9 am it was -6 degrees

Part B is -7.5 degrees

Because 6 x -1.25 = -7.5

the abscissa of a point is -6 and its distance from the point (1,3) is √74. find the ordinate of the point​

Answers

[tex]\huge\fbox{Answer ☘}[/tex]

we know that ,

• absicca of a point = x - coordinate of that point

• ordinate of a point = y - coordinate of that point

therefore , let the point be A( -6 , y )

also ,

we're given an another point , i.e. ,

B( 1 , 3 )

[tex]distance \: between \: the \: two \: points = \sqrt{74} \\ \\ \sqrt{( x_{2} - x_{1}) {}^{2} \: + ( y_{2} - y_{2}) {}^{2} } = \sqrt{74} \\ \\ \sqrt{(1 - ( - 6)) {}^{2} + (3 - y) {}^{2} } = \sqrt{74} \\ \\ \sqrt{(7) {}^{2} + (9 + y {}^{2} - 6y)} = \sqrt{74} \\ \\ \sqrt{49 + 9 - y {}^{2} - 6y} = \sqrt{74} \\ \\ ✯\:\:\bold\blue{squaring \: both \: sides} \\ \\ 49 + 9 - y {}^{2} - 6y = 74 \\ \\ - y {}^{2} - 6y + 58 = 74 \\ \\ y {}^{2} + 6y - 58 = - 74 \\ \\ y {}^{2} + 6y - 58 + 74 = 0 \\ \\ y {}^{2} + 6y - 16 = 0 \\ \\ y {}^{2} + 8y - 2y - 16 = 0 \\ \\ y(y + 8) - 2(y + 8) = 0 \\ \\ (y + 8) = 0 \: \: and \: \: (y - 2) = 0 \\ \\ y = - 8 \: \: or \: \: y = 2[/tex]

therefore , the ordinate of point A is either ( -8 ) or ( 2 )

hope helpful~

Dave receives 10% commission on his first
$5,000 in sales and receives 20% commission on
any sales beyond the first $5,000. If Dave sells
$7,000 this month, what will Dave's commission
be for the month?
A. $700
B. $900
C. $1,400
D. $2,100


someone please help!! i would be so thankful! thx to who ever does (hurry please)!

Answers

I believe the correct answer would be C. $900

Write acute right or obtuse

Answers

Answer:

3 is acute, 4 is obtuse

Step-by-step explanation:

3, all angles are less than 90 degrees

4, one of the angles (M) is more than 90 degrees

Answer:

3. Acute angle

4. Obtuse angle

Gizmos come in a carton. A carton holds 6 packages. Each package holds 10 small boxes. Each small box holds 12 gizmos. How many gizmos come in a carton?
Group of answer choices

720 gizmos

830 gizmos

640 gizmos

Answers

Answer:

720

Step-by-step explanation:

i used a calculator box = 12 gizoms 1 package =10 boxes

12x10 = 120. 120 x 6 = 720

Anastasia Subscribe to a website for processing her digital pictures The subscription is $6.25 per month and 4-by -6 inches prints are $ 0.25 each how many prints dose Anastasia Purchase if the charge for January is $15.75 ?

Answers

total cost = 6.25 + 0.25 x

15.75 - 6.25 = 0.25 x

9.5 = 0.25 x

x = 38 prints

Find the sum of 3a 2 + 4b 2 , 4a 2 – 3b 2 + 2ab and -4a2 + 2b 2 – 6ab​

Answers

Step-by-step explanation:

add like term

follow the process and answer is there

A class has 7 boys and 10 girls. Select all associated ratios for this class. ( select more than 1 please )

10:3
7:3
17:5
7:17
10:7
10:17
7:10
3:7

Answers

Answer:

7:10

Step-by-step explanation:

The ratio of boys to girls is 7 to 10

Find the length of a rectangle given that the perimeter is 32 feet and the length is 1 foot more than four times the width.

Answers

Answer:

Length = 13

Step-by-step explanation:

P = 2L + 2W

L = 4W + 1

P = 32

32 = 2(4W +1)  + 2W

32 = 8W + 2 + 2W

30 = 10W

W = 3

L = 4(3) + 1

L = 12 + 1

L = 13

find average of first 5 multiples of 4​

Answers

Answer:

Ans- The mean of first 5 multiples of 4 is 12.

Answer:

12

Step-by-step explanation:

The first 5 multiples of 4 are:

4 , 8, 12, 16 and 20

Their average is:

(4 + 8 + 12 + 16 + 20)/5 = 12

What solution value satisfies the compound inequality x - 1 < -7 or x/4 > 1?

Answers

Answer:

x < -6 or x > 4

Step-by-step explanation:

Now, this is an OR inequality, so two separate equations are involved.

x - 1 < -7

Here, we need to add -1 to -7, which results in -6. And there's side one!

x < -6

Now for side two of this inequality.

x/4 > 1

Here, we'll multiply both sides by 4. And now, both sides are solved.

x > 4

The solution values (rather than value) that satsify the equation are x < -6 or x > 4 (so, anything between (and including) -6 and 4 will not work).

how many 5 digit palindromic numbers have digits that add up to 14

Answers

Answer:

Step-by-step explanation:

It looks like 25, but I have to check it some more.

It looks like there are 25, but I can only give you the answer. I cannot give you a proof

Samples

12821

40604

51215

PLS ANSWER AS SOON AS POSSIBLE

Answers

-a²-2ax-x²+49 I think this is the answer


Each player on a softball team will get a uniform with a randomly selected
number between 1 and 30. No two players will have the same number.
The first player to get a uniform thinks the probability that she will
get a single-digit number is 10 Is the player correct? Explain
your reasoning.
9

Answers

Answer:

no she is incorrect!

Step-by-step explanation:

there are 30 shirts so the probabilty will be out of 30%

In the triangle shown above, a = 16 cm, b= 12 cm, and c= 8 cm. What is the approximate measure of angle A?


A. 14.48°

B. 75.52°

C.65.56°

D.104.48°​

Answers

Answer:

I think its A

Step-by-step explanation:

The approximate measure of angle A is 104.48 degrees. The correct option is D.

Given that:

a = 16 cm

b = 12 cm

c = 8 cm

To find the measure of angle A in the triangle, use the law of cosines.

The law of cosines states that for any triangle with sides a, b, and c, and the angle opposite side c, denoted as C:

c² = a² + b² - 2ab × cos(C)

In this case, we want to find angle A, which is opposite side a. So, the equation becomes:

a² = b² +c² - 2bc × cos(A)

Now, plug in the given values:

16² = 12² + 8² - 2 × 12 × 8 × cos(A)

256 = 144 + 64 - 192 × cos(A)

Now, isolate cos(A):

192 × cos(A) = 144 + 64 - 256

192 × cos(A) = -48

cos(A) = -48 / 192

cos(A) = -1/4

Now, to find the measure of angle A, take the inverse cosine (cos^-1) of -1/4:

[tex]A \approx cos^{-1(-1/4)}[/tex]

A ≈ 104.48 degrees.

So, the approximate measure of angle A is 104.48 degrees. The correct option is D.

Learn more about Angle here:

https://brainly.com/question/31818999

#SPJ3

Reflect the figure over the line y
=x+1

Answers

Answer:

Points of the triangle: (-6, 3)  (-3, 9)  (-7, 8)

Step-by-step explanation:

(2, -5)   →   (-6, 3)

(8, -2)   →   (-3, 9)

(7, -6)   →   (-7, 8)

What is
21.9% of 44,700

Answers

Answer:

9,789.30

Step-by-step explanation:

44,700 x .219 = 9,789.30

PLEASE HELP ME QUICKKK, FIRST CORRECT PERSON GETS BRAINLIEST​

Answers

Answer:

$165

Step-by-step explanation:

....................

which binomial must be added to (-2r+12) so the the sum of 2 polynomial is (6r-7)

a.) 4r-19
b.) 4r+5
c.) 8r-19
D.)8r+5​

Answers

Answer:

c) 8r - 19

Step-by-step explanation:

Subtract    6r - 7

              -  -2r + 12

  = 8r - 19

Answer:8r-9 or c

Step-by-step explanation:

SUBTRACT THE FOLLOWING POLYNOMIALS.

1. 2a²b²–(-4a²b²)=

2. 3z–5z–(-6z)=

3. 3m–(4m)=​

Answers

I think this may be what you are looking for

8. A study found that 72% (0.72) of people wear their seat belts? If three people
are selected at random, what is the probability that all three people wear their
seat belts?

Answers

Answer:

0.373248

Step-by-step explanation:

P(A and B) = P(A) * P(B)

Let's say one person wearing a seat belt is event A, the second person wearing a seat belt is event B, and the third person wearing their seat belt is event C

P(A and B and C) = P((A and B) and C) = (P(A) * P(B)) *P(C) = P(A) * P(B) * P(C)

The probability of each is 0.72. Our answer is therefore 0.72 * 0.72 * 0.72, or 0.72³ = 0.373248

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