A fence is going to diagonally divide a 30 foot by 24 foot rectangular garden in half. Approximately how long, in feet, should the fence be?

19
27
38
46
54

Answers

Answer 1

Answer:38

Step-by-step explanation:

The diagonal of a rectangle creates the hypotenuse of a right triangle. Use the Pythagorean theorem, a2 + b2 = c2, where a = 30 ft and b = 24 ft, to calculate the length of the fence c.

a2 + b2 = c2

302 + 242 = c2

900 + 576 = c2

1476 = c2

38.42 ≈ c

The fence should be about 38 feet long. Isn't it strange to divide a garden in half diagonally with a fence? It doesn't seem to serve the purpose of keeping intruders out. It doesn't seem to serve any purpose, really.


Related Questions

Solve for n
8-n-4
PLZ help

Answers

N=12 i think hope it helps

what is the slope of the line through [-1,2] and [2,-3]

Answers

Answer:

-3/5

Step-by-step explanation:

to figure that out you have to do y^2 - y^1/ x^2 - x^1

2-(-1)/ -3 - 2

= 3/-5

=-3/5

A car-rental agency charges $29.00 per day plus $0.25 for each mile driven. How many miles did Roberto drive if he paid $52.00 total for the rental car for one day?

Answers

Answer:

The below T&Cs (including prices and taxes) are provided by Hertz and may change ... Additional Drivers: $13.50* per day/driver (at most locations) capped at $189.00* per rental/driver; Extra miles (if your rental has limited mileage, each additional mile over the limit will ... It is illegal to drive in the US without car insurance.

Step-by-step explanation:

The choir raised $700 last year. This year they hope to raise 25% more money. How much money do they hope to raise this year?

Answers

Answer:

$875

Step-by-step explanation:

take the 700 mulitple it by.25. you should get the answer 175. add 175 to 700 and you get your whole which is 875.

Jack is buying threats for how cats. He wants to buy some greens, which cost $4.95 a bag. He also wants to buy beef bites, which cost $3.50 a bag. White an equation that models treats purchased by Jack when he spends $21.85

Answers

Answer:

4.95x + 3.5y = 21.85

Step-by-step explanation:

x represents the greens, and y represents the beef bites.

Please help I will give brainliest to first person who answers!

Answers

Answer:

71 degrees

It's the measure of angle 1.

please help me this question​

Answers

Answer:

0

Step-by-step explanation:

bcoz 2^5 X 9²=2592

so the difference is 0

0 is the correct answer

Find three solutions for the linear equation 4x-3y = 1

PS. answer plsss​

Answers

Answer:

I had shoot it so, hope it help u. and sorry, if it is incorrect!!

Answer:

X=1, y=1,(x,y)=(1,1)

X=0,y=-1:3,(x,y)=(0,1:3)

X=1:4,y=0,(1:4,0)

Step-by-step explanation:

Just put the numbers instead of x in the equation and get y, and in (x, y) put the numbers x, y instead.

What is the rate of change of y with respect to x for 25x - 4y = 50 ?

Answers

Answer:

25/4

Step-by-step explanation:

The change of y with respect to x is known as the slope of the line. The standard form of the equation is y = mx+c  where m is the slope.

Given the equation 25x - 4y = 50, we need to make y the subject of the formula before we get the slope as shown;

25x - 4y = 50

-4y = -25x+50

Divide through b y -4

-4y/-4 = -25x/-4 + 50/-4

y = 25/4 x - 25/2

Comparing with y = mx+c

mx = 25/4 x

m = 25/4

Hence the rate of change of y with respect to x is 25/4

The rate of change of y with respect of x for the given equation is [tex]\frac{25}{4}[/tex].

Given the equation:

[tex]25x - 4y = 50[/tex]

The rate of change = the slope of the line

To determine the slope of 25x - 4y = 50, rewrite the equation in slope-intercept form. i.e. [tex]y = mx + b[/tex]

Where, slope = m

Thus,

[tex]25x - 4y = 50[/tex]

Add 25x to both sides of the equation

[tex]25x -25x - 4y = - 25x + 50\\\\-4y = - 25x + 50[/tex]

Divide both sides by -4

[tex]\frac{-4y}{-4} = \frac{-25x}{-4}+ \frac{50}{-4}\\\\y = \frac{25}{4}x - \frac{25}{2}[/tex]

Therefore, the rate of change of y with respect of x for the given equation is [tex]\frac{25}{4}[/tex].

Learn more here:

https://brainly.com/question/16875614

16. Calculate the slope of the line that passes through the points (-6, -8)
and (-2,3)

Answers

M=11/4 is the slope

Answer:

look at the question another way or from another angle

Step-by-step explanation:

5.
Lacy is going to bake a cake she needs to measure 6 cups of flour,
but the only has a measuring cup that measures 2/3 of a cup. How
many times should she fill the measuring cup up to get 6 cups of
rower? -- YOU MUST SHOW WORK EVEN OM MULTIPLE CHOICE!!
A # 1/3 uma:
B

Answers

Answer:

8

Step-by-step explanation:

2/3 x2= 1.5

1.5 x4=  6

2x4=8

Please answer this question it is for Math!

Answers

Answer:do you mean plotting a graph

Step-by-step explanation:

The strength of magnetic field inside a
long current carrying straight solenoid is

Answers

Answer:

Sorry i have forgotten about this, sorry i couldn't answer this

Carolyn was asked to solve the following system of equations. Her work is shown.




Correctly find the solution to the system of inequalities. Show your work for credit.

Answers

Answer:

(11, 13)

Step-by-step explanation:

Given,

3x - 2y = 7 => (eqn. 1)

y = x + 2 => (eqn. 2)

Substitute y = (x + 2) in eqn. 1.

3x - 2(x + 2) = 7

Use -2 to multiply each term you have in the parentheses. (This is where Carolyn got it wrong)

3x - 2x - 4 = 7 (-2*4 = -4 not +4)

x - 4 = 7

Add 4 to both sides

x = 7 + 4

x = 11

Substitute x = 11 in eqn. 2.

y = x + 2

y = 11 + 2

y = 13

Solution: (11, 13)

a+b+c=m,a2+b2+c2=n,a3+b3=p3. If c=0 then prove that m3+2p3=3mn

Answers

Answer:

a + b + c = m

=> (a + b+ c)³= m³

⇔m³ = a³ + b³ +c³ + 3(a + b)(a + c)(c + b)

=> m³ + 2p³ = 3a³ + 3b³ + c³ + 3(a + b)(a + c)(b + c)

with c = 0 => m³ + 2p³ = 3a³ + 3b³ + 3ab(a + b)

have:

3mn = 3(a + b + c)(a² + b² + c²)

with c = 0

=> 3mn = 3(a + b)(a² + b²) = 3[a³ + ab² + ba² + b³]

=  3a³ + 3b³ + 3(a²b + ab²)

= 3a³ + 3b³ + 3ab(a + b)

= m³ + 2p³

=> 3mn = m³ + 2p³

Step-by-step explanation:

Given the conditions a + b + c = m, a² + b² + c² = n, and a³ + b³ + c³ = p, we are required to prove that if c = 0, then m³ + 2p³ = 3mn.

If c = 0, then the equations become a + b = m, a² + b² = n, and a³ + b³ = p.

Using the sum of cubes identity (a³ + b³ = (a + b)(a² - ab + b²)), we can rewrite the third equation as (a + b)(a²- ab + b²) = p.

Since a + b = m, we can substitute this value into the above equation: m(a² - ab + b²) = p.

Now, we'll square the first equation (a + b = m) to get a² + 2ab + b² = m². Rearranging, we find ab = (m² - n)/2.

Substituting this value of ab into the equation m(a² - ab + b²) = p, we get m(a² + b² - (m² - n)/2) = p.

Now, we know that a² + b² = n, so we can replace a² + b² in the equation: m(n - (m² - n)/2) = p.

Simplifying the equation further, we get

mn - (m³ - mn)/2 = p.

Finally, rearranging the equation, we find that

m³ + 2p³ = 3mn.

Thus, we have proved that if c = 0, then m³ + 2p³ = 3mn.

To know more about Cubes:

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Compute the sum (Worth 15 Points!)

[tex]\[51 \cdot 23 + 49\cdot (-11)+49 \cdot 11 + 51 \cdot (-23).\][/tex]

Answers

Answer:

268.

Step-by-step explanation:

So we have 51*23+49+49*11*-11+51*-23

2(51+23+49+11) ( the 2 negatives cancel out)

So, 51+23+49+11 is 134.

2(134)

or 268.

Hope this answers your question!!!

Answer:

268 :)

Step-by-step explanation:

At noon, the minute and the hour hands overlap. In how long will they overlap again?

Answers

Answer:

1 hour or 60 minutes later

1hr and 5mins later, when it’s 1:05pm because both minute and hour hands will be on 1.

please , first click on the image then answer me the two questions

Answers

Answer:

Step-by-step explanation:

(m*2)+4=

b+(b*2)+1=

which equation repersent functions?

2x+3y=10
4x=16
2x-3=14
3y=18
14.6=2x​

Answers

Answer:

y= (-2/3)x+10/3  is a function

3y=18 is a function

Step-by-step explanations

in both cases for each input x there is exactly one output y

Carolina goes to a paintball field that charges an entrance fee of \$18$18dollar sign, 18 and \$0.08$0.08dollar sign, 0, point, 08 per ball. The field has a promotion that says, "Get \$10$10dollar sign, 10 off if you spend \$75$75dollar sign, 75 or more!" Carolina wonders how many paintballs she needs to buy along with the entrance fee to get the promotion.

Answers

Answer:

713 paint balls

Step-by-step explanation:

The inequality equation for the above question is given as:

$18 + $0.08 × b ≥ 75

Where b = number of paint balls

$18 + 0.08b ≥ 75

0.08b ≥ 75 - 18

0.08b≥ 57

b ≥ 58/0.08

b ≥ 712.5

b≥ 713 paint balls

Hence, Carolina would need to buy 713 paintballs along with the entrance fee to get the promotion.

5/12 divided by 4/3 = *

Answers

Answer:5/16

Step-by-step explanation:5/12 divided by 4/3 = 5/16

Answer:

5/12 ÷ 4/3 = 5/16

Step-by-step explanation:

5/12÷4/3

= 5/12×3/4

= 5/12 × 3/4

= 15/48

= 15/48 ÷ 3/3 = 5/16

ASAP 30 points and BRAINLIEST!! PLS!

Answers

Answer:

[tex]y+3=\frac{2}{5} (x+5)[/tex]

Step-by-step explanation:

First, let's find the slope using the 2 given points and the slope equation.

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

Enter in the points:

[tex]m=\frac{-3--1}{-5-0}[/tex]

Simplify:

[tex]m=\frac{-2}{-5}[/tex]

[tex]m=\frac{2}{5}[/tex]

Now that we have slope we can just use one of the points given. Remember point-slope form:

[tex]y-y1=m(x-x1)[/tex]

I'll use the point (-5,-3) in this case.

So, your solution is

[tex]y+3=\frac{2}{5} (x+5)[/tex]

Hope this helps!

y+1=2/5(x+0) should be it

Evaluate the expression 2x-x2 for x = 5?

Answers

Answer:

0

Step-by-step explanation:

2x - x2

2(5) - (5)2

0

Answer:

-15

Step-by-step explanation:

2x - x^2 = 2×5 - 5^2 = 10-25 = -15

idenify the slope and y-intercept of the function y=-2x+3

Answers

Answer:

The y-interept is 3 and the slope is -2.

Step-by-step explanation:

The y-intercept is always the "b" in y=mx+b

Answer:

Slope:  − 2

y-intercept:  ( 0 , 3 )

Step-by-step explanation:

Manny baked 48 cookies for a bake sale. 75% of the cookies were chocolate chip. How many cookies were NOT chocolate chip

Answers

48 (.75) = 36
48 -36 = 12 cookies or 25%

& represents 29 students in a class
B represents students who have a brother
S represents students who have a sister
В.
S
7
4
2x
x + 3
7+4+2x+x+3=29
a) One student from the class is chosen at random.
What is the probability that the student has a sister? 14+3x=29
3x=15
X=5
29-8=21​

Answers

Answer:

a) 14/ 29

b) 4/11

Step-by-step explanation:

x = 5

Strugglingggggg.....

Answers

Answer:

x = - 3, x = - 2, x = 0

Step-by-step explanation:

Given

x³ + 5x² + 6x ← factor out x from each term

= x(x² + 5x +6) ← factor the quadratic

Consider the factors of the constant term (+ 6) which sum to give the coefficient of the x- term (+ 5)

The factors are + 2 and + 3 , since

2 × 3 = + 6 and 2 + 3 = + 5 , thus

x² + 5x + 6 = (x + 2)(x + 3) , and

f(x) = x³ + 5x² + 6x = x(x + 2)(x + 3)

To find the zeros equate f(x) to zero, that is

x(x + 2)(x + 3) = 0

Equate each factor to zero and solve for x

x = 0

x + 2 = 0 ⇒ x = - 2

x + 3 = 0 ⇒ x = - 3

Zeros from least to greatest are x = - 3, x = - 2, x = 0

If mAngleUTV < mAngleUTS < mAngleSTR, which statement is true? VU < US < SR by the hinge theorem. VU = US = SR by the hinge theorem. mAngleUTV = mAngleUST = mAngleSTR by the converse of the hinge theorem. mAngleUTV > mAngleUTS > mAngleSTR by the converse of the hinge theorem.

Answers

Answer:

VU < US < SR by the hinge theorem.

Step-by-step explanation:

Did quiz on edge

Answer:

A. VU < US < SR  

Step-by-step explanation:

I got a 100 on the test

23p+1/4-1/4(8p+1)=5(4p-6)+10
What is p?

Answers

Answer:

p= -20

Step-by-step explanation:

23p+1/4-1/4(8p+1)=5(4p-6)+10

23p+1/4-2p-1/4=20p-30+10

21p=20p-20

p= -20

what is 1.5555 as a simplified fraction.

Answers

Answer:

1 5555/10000

Step-by-step explanation:

One plus five thousand, five hundred and fifty-five all over 10000.

Answer:

[tex]\frac{311}{200}[/tex]

Step-by-step explanation:

1.5555

=[tex]\frac{15555}{10000}[/tex]

=[tex]\frac{311}{200}[/tex] (dividing numerator and denominator by 5)

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