We need a flower garden with a perimeter of 18 feet and an area of 18 square feet.what is the Length and width

Answers

Answer 1

Answer:

length is 6feet and width is 3 feet

Step-by-step explanation:

Area of the garden = LW

Perimeter of the garden = 2(L+W)

L is the length

W is the width

Given

Area = 18 square feet

Perimeter = 18feet

Substitute

18 = LW ... 1

18 = 2(L+W)

9 = L+W .... 2

From 2;

L = 9-W

Substitute into 1

18 = (9-W)W

18 = 9W-W²

W²-9W+18 = 0

W²-6W-3W+18 = 0

W(W-6)-3(W-6) = 0

W-3 = 0

W = 3 feet

Since L = 9-W

L = 9-3

L = 6feet

Hence the length is 6feet and width is 3 feet


Related Questions

5.65 x 10 to the 5th power + 4.87 * 10 to the 3rd power​

Answers

Answer:

569870

Hope this helps you. Do mark me as brainly

Answer:

the answer is very big..... it is 575,876,495

Is 1/4 more than 7/3

Answers

Answer:

No

Step-by-step explanation:

No 1/4 is less than a whole and 7/3 is 2. 1/3

Will give brainliest to whoever is first!
When John was six years old he hammered a nail into his favourite tree to mark his height. Ten years later at age sixteen, John returned to see how much higher the nail was. If the tree grew by five centimetres each year, how much higher would the nail be?

Answers

Answer:The nail would be at the same height since trees grow at their tops.

Step-by-step explanation:

Answer:

speed of growth of tree = 5cm/year

Years after John Came = 10 years

5cm × 10= 50cm

The nail is 50cm higher

Step-by-step explanation:

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▕┈╰▏╰╯╰━━━━

The equation of a circle is given below.
(x +12)2 + (y - 9)2 = 35
What is its center?
What is its radius?
If necessary, round your answer to two decimal places.

Answers

Answer:

center = (-12, 9)

radius = 5.92 (rounded)

Step-by-step explanation:

What is the reference angle of 50°?

Answers

Since
50
°
50
°
is in the first quadrant, the reference angle is
50
°
50
°
.
50
°

Solve for k.
B=1/2kq

Answers

Answer:

k= 2b/q

Step-by-step explanation:

see pic for explanation

Three uniform shirts sell for $34.50. How much will 5 uniform shirts cost?

Answers

Answer:

57.5

Step-by-step explanation:

Recognize our numbers

3,5,34.50

Three uniform shirts sell for 34.50

34.50/3

=11.5

How much will five cost?

5x11.5

=57.5

Hope this helps!

Answer:

55.25

Step-by-step explanation:

1. First we need to work out the price of ONE shirt. To do that we divide the total price of 3 shirts by 3.

34.50 / 3 = 11.05

2. Now we know that the price of one shirt is $11.05p we can multiply that by 5 to get the price of 5 shirts.

11.05 * 5 = 55.25

= $55.25p

A store owner purchased 70 soccer balls for $24.50 each. The store owne sold 40 of the soccer balls for $39.75 each. The remainder of the soccer balls were sold for $29.50 each. How much profit did the store owner earn?​

Answers

Answer:

The stores profit was $757

Step-by-step explanation:

70 x 24.50=1715

they spent 1715 on 70 soccer balls.

They sold 40 of the soccer balls for 39.75 each.

so 40 x 39.75=1590

Then the the remainder of the soccer balls would be 30 since they only started with 70

so they sold 30 soccer balls for 29.50 each.

30 x 29.50= 882

So add 882+1590=2472

then take that number and subtract it from 1715

2472-1715=757 So in profit they made $757 dollars.


A little help? the question is attached

Answers

Answer:

26 units

Step-by-step explanation:

6+6+7+7 = 26 units

helpppppppppp ! i need work please

Answers

Answer:

d. 108 °

Step-by-step explanation:

(2x + 3x) * 2 = 360

4x + 6x = 360

10x = 360

x = 36

Angle DAB = 3x = 36 * 3 = 108°

(Please heart and the answer if you find it helpful, it's a motivation for me to help more people)

what do you know to be true about the values of a and b​

Answers

Answer:

a

Step-by-step explanation:

all angles in a triangle is equal to 180 so

60+50=110 so p =70

80+30=110 so q =70

p=q

Answer:

p=q

Step-by-step explanation:

5 ft 5 ft 4.5 ft 5 ft h 5 ft Find the area of the rhombus. [?] ft2​

Answers

Answer:

56 ft square (Approx)

Step-by-step explanation:

Area of Rhombus= (1/2) * D1* D2 {D1 = 4.5; D2 = 5*5= 25}

= 1/2 * 4.5 * 25

= 56.25

= 56 ft square (Approx)

Answer:

22.5ft²

Step-by-step explanation:

4.5ft x 5ft = 22.5ft²

Solve the equation for x. 2x + 22 = 4(x+3)

Answers

Answer:

x = 5

Step-by-step explanation:

We have the algebraic expression and are asked to solve for x.

To solve, we need to isolate x.

2x + 22 = 4(x + 3)

Distribute :

2x + 22 = (4(x) + 4(3))

2x + 22 = 4x + 12

Subtract 12 from both sides :

2x + 10 = 4x

4x = 2x + 10

Subtract 2x from both sides :

2x = 10

Divide 2 from both sides to get x alone :

x = 5

Answer:

x = 5

Step-by-step explanation:

We have the algebraic expression and are asked to solve for x.

To solve, we need to isolate x.

2x + 22 = 4(x + 3)

Distribute :

2x + 22 = (4(x) + 4(3))

2x + 22 = 4x + 12

Subtract 12 from both sides :

2x + 10 = 4x

4x = 2x + 10

Subtract 2x from both sides :

2x = 10

Divide 2 from both sides to get x alone :

x = 5

Evaluate the expression
15 + 6 x 7 - 12 divided by 2

Answers

The answer is 51 first u multiply and divide then calculate

Answer:

22.5

Step-by-step explanation:

It is very important to use bidmas (the order of mathematical functions - standing for brackets, indices, division, multiplication, addition, subtraction) in this question. 15 + 6 x 7 - 12 divided by 2 can also be written as (15 + 6 × 7 - 12) ÷ 2. First, you should complete the multiplication to make (15 + 42 - 12) ÷ 2. Then, complete the addition which makes (57 - 12) ÷ 2. Afterwards, do the subtraction which makes it 45 ÷ 2. This is 22.5. I hope this helps!

2/3 feet into inches

Answers

Answer:

The answer 8 inches

Hope this helps :)

Answer:

8 inches

Step-by-step explanation:

1 foot is 12 feet. 2/3 of 12 is 8.

3. His teacher praised him.​

Answers

what’s the question

In which expression should the exponents be multiplied

Answers

Answer:

when the bases are different and the powers are same

Step-by-step explanation:

(a)²★(a)³=(a)²+³........

Type the integer that makes the following addition sentence true:
= 6
39 +

Answers

-33

Hope this helps. :)))))

*
6. Write the mixed number as an improper fraction. 11/8

Answers

1 3/8. If you would like me to explain lmk!

Answer:

1 [tex]3/8[/tex]

Step-by-step explanation:

3) Cory is standing on a cliff that is 48 feet above the ground. He throws a rock in to the air. The height, h, of the rock

after t seconds is given by h(t) = -2t+4t +48.


a) What is the initial height?


b) How many seconds does it take to reach the maximum height?


c) What is the rock's maximum height?


d) How many seconds does it take to for the rock to land on the ground?

Answers

Answer:

a) The initial height of the rock is of 48 feet.

b) It takes 1 seconds for the rock to reach maximum height.

c) The rock's maximum height is 50 feet.

d) It takes 6 seconds for the rock to land on the ground.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, f(x_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]f(x_{v})[/tex]

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}[/tex]

[tex]\bigtriangleup = b^{2} - 4ac[/tex]

In this question:

The height of the ball after t seconds, in feet, is given by:

[tex]h(t) = -2t^2 + 4t + 48[/tex]

Which is a quadratic equation with [tex]a = -2, b = 4, c = 48[/tex]

a) What is the initial height?

This is [tex]h(0) = 48[/tex]. So the initial height of the rock is of 48 feet.

b) How many seconds does it take to reach the maximum height?

This is the value of t at the vertex. So

[tex]t_{v} = -\frac{b}{2a} = -\frac{4}{2(-2)} = 1[/tex]

It takes 1 seconds for the rock to reach maximum height.

c) What is the rock's maximum height?

This is the height of the ball after 1 second. So

[tex]h(1) = -2(1)^2 + 4(1) + 48 = 50[/tex]

The rock's maximum height is 50 feet.

d) How many seconds does it take to for the rock to land on the ground?

This is t for which [tex]h(t) = 0[/tex], so we solve the quadratic equation.

[tex]\bigtriangleup = (4)^2-4(-2)(48) = 400[/tex]

[tex]t_{1} = \frac{-4 + \sqrt{400}}{2*(-2)} = -4[/tex]

[tex]t_{2} = \frac{-4 - \sqrt{400}}{2*(-2)} = 6[/tex]

Time is a positive measures, so it takes 6 seconds for the rock to land on the ground.

5у2 2is a power + бу - 4

Answers

Answer:

Its 5000

Step-by-step explanation 4883-3455=5000

In the diagram below, ZGRS - ZART, GR = 36, SR = 45, AR = 15, and RT = 18. G 36 А 15 R S T 45 18 Which triangle similarity statement is correct? A AGRS ~AART by AA B AGRS ~AART by SAS C AGRS - AART by SSS D) AGRS is not similar to A ART.​

Answers

Answer: the answer is D

The triangle GRS is not similar to the triangle ART because the ratio of the corresponding sides is not in the same proportion option (D) is correct.

What is the similarity law for triangles?

It is defined as the law to prove that the two triangles have the same shape but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same propertions and the corresponding angles are congruent.

We have two triangles:

ΔGRS and ΔART in which:

GR = 36 units, SR = 45 units, AR = 15 units, and RT = 18 units

To check the similarity take the ratio of the corresponding sides.

[tex]\frac{36}{15} =\frac{45}{18}[/tex]   (after simplification)

[tex]\frac{12}{5} \neq \frac{15}{6}[/tex]  

As we can see the ratio of the corresponding sides is not in the same proportion.

Thus, the triangle GRS is not similar to the triangle ART because the ratio of the corresponding sides is not in the same proportion option (D) is correct.

Learn more about the similarity of triangles here:

https://brainly.com/question/8045819

Miguel can drive 4 times as fast as Raul can ride his bicycle. If it takes Raul 3 hours longer than Miguel to travel 68 miles, how fast (in mph) can Raul ride his bicycle? Round your answer to two decimal places, if needed.

Answers

Answer:

17 mph

Step-by-step explanation:

Miguel's speed = m, Raul's speed = rGivenm = 4rDistance = 68 milesTime difference = 3 hoursSolutiontime = distance/speed

Substitute values and solve for r the equation of the time difference:

68/m + 3 = 68/r68/4r + 3 = 68/r17/r + 3 = 68/r17 + 3r = 683r = 68 - 173r = 51r = 17

Raul's speed is 17 mph

Answer:

[tex] \huge \boxed{ \boxed{ \red{ \tt17 \: mph}}}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:equationequation word problemsPEMDASgiven:Miguel can drive 4 times as fast as Raul can ride his bicycle. If it takes Raul 3 hours longer than Miguel to travel 68 miles, how fast (in mph) can Raul ride his bicycletips and formulas:t=d/sto findhow fast can Raul ride his bicyclelet's solve:

let's the speed of Raul be x

likewise

Miguel can drive 4 times as fast as Raul can ride his bicycle

therefore

4x

according to the question

[tex] \sf \frac{68}{4x}+3=\frac{68}{x}[/tex]

[tex] \implies \sf \frac{68 + 12x}{4x} = \frac{68}{x} [/tex]

[tex] \sf factor \: out \: 4 \: and \: reduce \: it : \\ \sf \implies \frac{4(17 + 3x)}{4x} = \frac{68}{x} \\ \\ \implies\sf \frac{17 + 3x}{x} = \frac{68}{x}[/tex]

[tex] \sf multipy \: both \: sides \: by \: x : \\ \sf \implies (\frac{17 +3 x}{x} )x = (\frac{68}{x} )x \\ \implies \sf 17 + 3x = 68[/tex]

[tex] \sf cancel \: 17 \: from \: both \: sides : \\ \implies \sf 17 - 17 + 3x = 68 - 17 \\ \implies \sf 3x = 51[/tex]

[tex] \sf divide \: both \: side s \: by \: 3 : \\ \sf \implies \frac{3x}{3} = \frac{51}{3} \\ \therefore x = 17[/tex]

The ratio of cats to dogs is 8:9. If
there are 27 dogs, how many cats
are there
(Help)

Answers

Answer:

24 yw :)

Step-by-step explanation:

Please I need help!!

Answers

Answer:

These expressions are both correct because they are equivalent to each other.

5(4) + 7(4) = 20 + 28 = 48

(12 x 8)/2 = 96/2 = 48

Let me know if this helps!

What is the value of (x^3 − 7x^2 − 18x + 42) when x = 3?

Answers

Answer:

-150

Step-by-step explanation:

x^2 - 7x^2 - 18x +42

3^2 - 7(3)^2 - 18(3) + 42

9 - 63 - 54 + 42

-54 -54 + 42

-108 + 42

-150

What is the mode of the data set (30,28,30,45,40,37,35)? Level 1-2
DOK 1
28
30
45
37

Answers

The answer is 30
Hope this helps

what is the slope of the line?

Answers

Answer:

In technical terms, the slope of the line is the change in y over the change in x. But I just like to think of it as rise over run. To find the slope of the line, pick two points on the line.

Step-by-step explanation:

What is 4 - 2 and 1/4 I really need to know please

Answers

I’m confused by the question? 4-2= 2 and 1/4 would be 1/4 or 0.25

Please help please and thank you

Answers

Answer:

Step-by-step explanation:

2x + 3x + 8 - 3x - 2 = 2x + 6

The first and third expressions.

Answer:

1 and 3

Step-by-step explanation:

This should be correct

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