mary need 50 ft of fence to protect her rectangular garden from squirrels. How long and how wide is the 8 ft more than the width length is if the length is 8 ft more than the width

Answers

Answer 1

Answer:

Width of the fence = 8.5 ft

Length of the fence = 16.5 ft

Step-by-step explanation:

Mary need 50 feet of fence to protect her rectangular garden from squirrels. How long and wide is the garden if the length is 8 feet more than the width?

Perimeter of the fence = 2(length + width)

Perimeter of the fence = 50 ft

Width of the fence = x ft

Length of the fence = x + 8 ft

Perimeter of the fence = 2(length + width)

50 = 2{(x+8) + (x)}

50 = 2(x + 8 + x)

50 = 2(2x + 8)

50 = 4x + 16

50 - 16 = 4x

34 = 4x

x = 34/4

x = 8.5

Width of the fence = x ft

= 8.5 ft

Length of the fence = x + 8 ft

= 8.5 + 8

= 16.5 ft

Answer 2

Width of a rectangle is equal to [tex]\boldsymbol{8.5}[/tex] feet and length is equal to [tex]8.5+8=\boldsymbol{16.5}[/tex] feet

Perimeter of a rectangle

A quadrilateral having four right angles is known as a rectangle. It can also be described as a square - shaped quadrilateral (equiangular meaning all angles are identical) or a parallelogram with a right angle.

Let [tex]x[/tex] denotes the width [tex](w)[/tex] of a rectangle.

So,

Length of a rectangle [tex](l)=x+8[/tex]

Perimeter of a rectangle [tex]=50[/tex] feet

[tex]2(l+w)=50\\l+w=25\\x+8+x=25\\2x=17[/tex]

[tex]x=8.5[/tex] feet

So,

width is equal to [tex]\boldsymbol{8.5}[/tex] feet and length is equal to [tex]8.5+8=\boldsymbol{16.5}[/tex] feet

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Related Questions

What is the value of the expression
-3-(-4)?

Answers

Answer:

The value of this expression is -7

Roberto has $200 in spending money. He wants to buy some video games that cost $25.50 each. Write and solve an inequality to find the number of
games, g, that Roberto can buy.
Inequality (use g as your variable):
Roberto can buy up to
video games.

Answers

Answer:

$200.00/$25.50 = g

Step-by-step explanation:

200.00 / 25.50 = 7 games

39/8 as a decimal... I've forgotten how to turn fractions into decimals ​

Answers

Answer:

4.222222 or jus 4.2 with - over the 2 to indicate multiple 2's

Answer:

4.875

Step-by-step explanation:

Pretty simple, just divide the numerator by the denominator.

A blackboard has an area of 28 ft2 and a perimeter of 22 ft. What are the dimensions of the board?

Answers

Answer:

4 ft by 7 ft.

Step-by-step explanation:

Find the area of the figure below

Answers

Answer:

4.5 x 14 = 63

Explanation:

The area of a parallelogram is the product of any base and the altitude to that base: A = bh.

Becky used 8 gallons of gas driving to visit her friend. Her car used gas at the rate of 24 miles per gallon. How far did she drive?

Answers

Answer:

192

Step-by-step explanation:

8 x 24 = 192


In an isosceles triangle, one side is 6 more than 3 times a number and the congruent side is 10 less than
5 times the same number, what is that number?

a.2
b.8
c.16
d. none of above

Answers

The answer would be B.

solve for t i need help

Answers

Answer for t: t= 1/2

[tex]4(t+\frac{1}{4})=3[/tex]   distribute by multiplying 4 into the parenthesis.

[tex]4t+1 = 3[/tex]

    [tex]-1[/tex]   [tex]-1[/tex]     subtract 1 on both sides, solve for 3 - 1, which is 2.

__________

[tex]\frac{4t}{4} =\frac{2}{4}[/tex]     divide 4 on both sides.

[tex]t = \frac{2}{4}[/tex]       simplify 2/4.

[tex]t = \frac{1}{2}[/tex]       final answer

hope this helps :)

Which problem situation could be used to solve the open sentence below? p/12=? please help it’s overdueee

Answers

Answer:

Its B, If P is the total amount of $ you would divide by 12 to find the number of times she took the garbage out

Write an equation in point-slope form of the line that passes through (-1, – 4) with slope -2.

Answers

Answer:

y+4=-2(x+1)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-4)=-2(x-(-1))

y+4=-2(x+1)

I'm very confused on what the answer to this one is​

Answers

Answer:

(-3,1.5) (0,3) (3'3)

Step-by-step explanation:

multiply all the coordinates by 1/2

P (-6, 3) Q(0, 6) R (6,6)

Write an explicit formula for an, the nth term of the sequence 35, 38, 41, ...

Answers

Answer:

[tex]a_{n}[/tex] = 3n + 32

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = 38 - 35 = 41 - 38 = 3

This indicates the sequence is arithmetic with n th term ( explicit formula )

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 35 and d = 3 , then

[tex]a_{n}[/tex] = 35 + 3(n - 1) = 35 + 3n - 3 = 3n + 32

a student wrote a proof about the product of two rational numbers:
Let x = a/b and let y = c/d, where a and c are defined to be integers, and b and d are nonzero integers.
By substitution, xy = ac/bd.
By applying the closure property of integers and nonzero integers on multiplication, ac is an integer and bd is a nonzero integer.
What conclusion can the student now make about the product xy?
A- the product xy is a nonzero Integer because nonzero Integers are closed on division.
B- the product xy cannot be an integer because bd is a nonzero Integer.
C- the product xy may be elther rational or Irrational because the values of a, b, c, and d are unknown.
D- the product ry is rational because it can be written as the quotient of an Integer and a nonzero Integer.​

Answers

pretty sure that the answer is D

A rational number is a number that can be expressed as a fraction of integers.

The conclusion the student can make about product xy is that:

D- the product ry is rational because it can be written as the quotient of an Integer and a nonzero Integer.​

Given that:

[tex]x = \frac ab[/tex]

[tex]y = \frac cd[/tex]

The product xy is:

[tex]x \times y = \frac ab \times \frac cd[/tex]

So, we have:

[tex]x \times y = \frac{ac}{bd}[/tex]

From the question, we understand that:

[tex]Integers \to a, c[/tex]

This means that, ac would be an integer (by closure property)

Also:

[tex]Non\ zero \to b,d[/tex]

This means that, bd would be non-zero i.e. [tex]bd \ne 0[/tex]

So, we have:

[tex]x \times y = \frac{ac}{bd}[/tex]

[tex]x \times y = \frac{Integer}{Non\ zero}[/tex]

The quotient of an integer and a non-zero integer is always be rational.

Hence, option (d) is correct.

Read more about rational numbers at:

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help neither me or my friend know how to do this

Answers

Answer:

X [tex]\leq[/tex] -5

Step-by-step explanation:

Answer:

x ≥ -6

Step-by-step explanation:

Here you go, this might help you

https://courses.lumenlearning.com/collegealgebracoreq/chapter/temp-4-review/

work out the equation of the line which has a gradient of 2 and passes through the point (1, 4)

Answers

Answer:

y = 2x + 2

Step-by-step explanation:

The slope is also called the gradient of the line.

The slope that is given is two, and the point is (1, 4).

I made a point slope equation, and then converted it into a slope-intercept equation.

[tex]y-4=2(x-1)\\\\y-4=2x-2\\\\y-4+4=2x-2+4\\\\\boxed{y=2x+2}[/tex]

Hope this helps.

Estimate 12% of 77?

Answers

Answer: 9.24

Step-by-step explanation:

12*77 = 924

= 9.24

The answer to the given question is estimating 12% (percent) of 77, we get the answer 9.24.

To calculate 12% of 77 precisely, we can use the following formula: percent / 100 × given number

= 12% of 77

= (12/100) × 77

= 9.24

Therefore, 12% of 77 is 9.24.A percentage is a way of expressing a number as a fraction of 100. The symbol "%" is used to is used to indicate a percentage. For example, if we say that something is 25%, we mean that it is 25 out of 100 or 0.25 as a decimal. Percentages are used in many different areas, such as finance, statistics, and science. They can be used to represent proportions, rates of change, or as a way to compare different quantities. One common use of percentages is to calculate percentage change or increase. This is done by finding the difference between two values and expressing it as a percentage of the original value.

To learn more about Percentages click here

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4. The graph of h(x) = x^2 was transformed to create the graph of k(x) = -4x^2? Which of these describes the transformation from the graph of h to the graph
of k? A.) A reflection over the x-axis and a vertical
stretch
B.) A reflection over the x-axis and a vertical
compression
C.) A reflection over the y-axis and a vertical
compression
D.) A reflection over the y-axis and a vertical stretch

Answers

Answer:

A. A reflection over the x-axis and a vertical stretch.

Step-by-step explanation:

Let [tex]h(x) = x^{2}[/tex], to obtain [tex]k(x) = -4\cdot x^{2}[/tex], we need to use the following two operations:

(i) Vertical stretch

[tex]g(x) = k\cdot f(x)[/tex], [tex]k\in \mathbb{R}^{+}[/tex]

(ii) Reflection over the x-axis

[tex]g(x) = -f(x)[/tex]

Let prove both transformations in [tex]h(x)[/tex]:

Step 1 - Vertical stretch ([tex]k = 4[/tex])

[tex]h'(x) = 4\cdot x^{2}[/tex]

Step 2 - Reflection over the x-axis

[tex]k(x) = -4\cdot x^{2}[/tex]

Hence, correct answer is A.

The graphs below have the same shape. What is the equation of the blue
graph?
5
f(x) = x
W
Na
g(x) = 2
g(x) = -
O A. g(x) = (x - 4)2 + 1
O B. g(x) = (x+4)2 - 1
O c. g(x) = (x - 4)2 - 1
O D. g(x) = (x+4)2 + 1

Answers

Answer:

If the attached graph is the one you mean, the answer is g(x) = (x-4)^2 + 1

The equation of the blue graph is,

⇒ g (x) = (x - 4)² + 1

Given that;

The given function is,

⇒ f (x) = x²

Since, It is given that both graph has same shape it means the equation of blue graph is in the form of;

⇒ g (x) = (x - h)² + k

Where, (h,k) is the vertex of the parabola.

Hence, From the given graph it is noticed that vertex of blue parabola is (4,1),

Therefore, the equation of parabola is,

⇒  g (x) = (x - 4)² + 1

Thus, The equation of the blue graph is,

⇒ g (x) = (x - 4)² + 1

Learn more about the function visit:

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Trigonometry can anyone help me out

Answers

Answer:

y = 11

x = 11 root 3

[tex]x = 11\sqrt{3} [/tex]

[tex]y = 11[/tex]

Step-by-step explanation:

Cos 60 =

[tex] \frac{y}{22} \\ 0.5 = \frac{y}{22} \\ 0.5 \times 22 = y \\ 11 = y[/tex]

[tex]for x \\ \sin(60) = \frac{x}{22} \\ \frac{ \sqrt{3} }{2} = \frac{x}{22} \\ \frac{ \sqrt{3} }{2} \times 22 = x \\ 11 \sqrt{3 } = x[/tex]

Answer:

y = 11

x = 11 root \3

Step-by-step explanation:

Noelle and Micah went to the bank to open new checking accounts. The equation C=0.2n+1.20 represents the monthly cost, C, in dollars, where n is the number of checks written by Noelle. In Micah's account, the monthly cost is proportional to the number of checks written. The monthly cost for Micah's account is $1.20 for writing 3 checks. How many checks must Noelle and Micah write, if any, so that the cost of the accounts is the same for one month? What is the cost, if any?

Answers

Answer:

C = $2.40

n = 6

Step-by-step explanation:

For Noelle,

Equation that represents the monthly cost 'C',

C = 0.2n + 1.20

Here, n = number of checks written in a month

For Micah,

Monthly cost for writing checks 'C' = $1.20

Number of checks 'n' = 3

Since, Cost of writing checks ∝ Number of checks written

C' ∝ n

C' = kn

k = [tex]\frac{C'}{n}[/tex]

Here, k = proportionality constant

For C' = 1.2 and n = 3

k = [tex]\frac{1.2}{3}[/tex]

k = 0.4

Equation will be,

C' = 0.4n

For any month C = C'

Therefore, 0.2n + 1.20 = 0.4n

0.4n - 0.2n = 1.20

0.2n = 1.20

n = 6

Number of checks written by Noelle and Micah = 6

For n = 6,

C = 0.2(6) + 1.20

C = $2.40

Cost of writing checks = $2.40

please help, i will give 20 points

Answers

4. Overall, there are 45 students.

13 students achieved a mark over 65

[tex]\frac{13}{45} *100[/tex] = 29%

Therefore the answer is b. 29%

5. b is incorrect.

This is because retrievers account for 10% of the dogs, not 15%.

100%-(35% + 45% + 10%) = 10%

7/8 ÷ 7/16 = Reduce your answer to the lowest terms.

Answers

I got 2/1= 2
You just divide and reduce

whts the factored answer

Answers

Step-by-step explanation:

x^2-25=

[tex] {x}^{2} - 25 = (x - 5)(x + 5) [/tex]

You are putting money into a bank account. You start with $100 and add $12 every month. The total amount of money in your account can be represented by the following equation. (where T is total amount and M is the number of months):

T = 100 + 12 M

If you have $208, how many months have passed?

Show the equation and how you got the answer.

Answers

Answer:

9 months

Step-by-step explanation:

Answer:

it will be 9 months like the first person said

Help need answers to this asap

Answers

here it is we used the formula of the lateral area of the cylinder

See image for question.

Please show workings and diagrams.​

Answers

Answer:

a) 7 kmb) 298°

Step-by-step explanation:

See attached diagram (not to scale).

All given details reflected.

a) Find the measure of XZ using the law of cosines:

y = √(5² + 3² - 2*5*3*cos 135°) =  7 km (rounded)

b) Now using the law of sines find the measure of angle X:

7 / sin 135° = 5 / sin X sin X = 5 sin 135° / 7m∠X = arcsin (5 sin 135° / 7 ) = 28° (rounded)

The bearing of Z from X is:

270° + 28° = 298°

Find the gradient of the line segment between the points (4,3) and (5,6​

Answers

Answer:

3

Step-by-step explanation:

us the formula

y1 - y2 divided by x1 - x2

=gradient

6 - 3 divided by 5 - 4 = gradient

3 = gradient

hope this helps

please mark it brainliest

Even more trig ratios see attachment

Answers

Step-by-step explanation:

1. Use the Pythagorean theorem to solve for side KM:

16^2+KM^2=34^2256+KM^2=1156KM^2=900KM=30

2. Cosine is adjacent over hypotenuse, so cosine of M would be KM/34, or 30/34

3. Tangent is opposite over adjacent, so tangent of L will be KM/16, or 30/16

4. Sine is opposite over hypotenuse, so sine of M will be 16/34

5. KM=30, solved for in step 1.

hope this helps!!

PLZZZ HELP WHAT IS THE AREA OF THIS TRAPEZOID?!?!?!

Answers

152 or 76 either one of those 2

give me a decimal to divide, substract and multiply. (3 of each)​

Answers

Answer:

Step-by-step explanation:

0.34/ 0.14

0.621/ 0.512

0.536/ 0.612

0.64 - 0.12

0.12 - 0.36

0.59 - 0.25

0.5123 x 0.51232

0.593920 x 0.0591923

0.59129 x 0.5919232

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