Model the following problem with a quadratic equation. Then solve.
Find the length of a side of a square with an area of 180 ft^2.
Model the problem with a quadratic equation. Let x be the length of a side of the square.

Answers

Answer 1

Answer &

Step-by-step explanation:

area = length(width) = x(x) = x²

180 = x²

x² - 180 (quadratic equation)

Solve:

✓180 = ✓36✓5 = 6✓5 ≈ 13.42 ft = x

Answer 2

Answer:

[tex]x=6\sqrt{5}[/tex]

Step-by-step explanation:

1) A = s²

180 ft² = x²

180 = x²

x = x² -180

x²-180 =0

11) x² - 180 = 0

x² =180

x=[tex]\sqrt{36.5}[/tex]

x=[tex]6\sqrt{5}[/tex]

hope it helps


Related Questions

I need help!! ASAP!!

Simplify the complex fraction. State the conditions under which the expression is undefined.

Answers

9514 1404 393

Answer:

  (2x +1)/(4x^2) . . . . except x=0, -1

Step-by-step explanation:

Addition of fractions works in the usual way:

  a/b +c/d = (ad +bc)/(bd)

Division of fractions works in the usual way:

  (a/b)/(c/d) = (ad)/(bc)

__

  [tex]\dfrac{\left(\dfrac{1}{2x}+\dfrac{1}{2x+2}\right)}{\left(\dfrac{2x}{x+1}\right)}=\dfrac{1}{2}\cdot\dfrac{\left(\dfrac{1}{x}+\dfrac{1}{x+1}\right)}{\left(\dfrac{2x}{x+1}\right)}=\dfrac{1}{2}\cdot\dfrac{\left(\dfrac{2x+1}{x(x+1)}\right)}{\left(\dfrac{2x^2}{x(x+1)}\right)}\\\\=\boxed{\dfrac{2x+1}{4x^2}}[/tex]

The expression is undefined for any denominator equal to zero: x=0 or x=-1.

find the value (s) of the variables (s) in each parallelogram. ​

Answers

Answer:

y = 4

x = 12

Step-by-step explanation:

Because the lines in the parallelogram are intersecting perpendicularly, each line is equal to the opposite line.

For example,

6y + 1 = 4y + 9

and

2x - 5 = x + 7

So, now we just solve both of those equations.

We'll start with the first one :)

6y + 1 = 4y + 9

6y + 1 - 4y = 4y + 9 = 4y

2y + 1 = 9

2y + 1 - 1 = 9 - 1

2y = 8

y = 4

now onto the second equation :)

2x - 5 = x + 7

2x - 5 - x = x + 7 - x

x - 5 = 7

x - 5 + 5 = 7 + 5

x = 12

What is the value of the expression below?

8^1/3

A. 4
B.8/3
C.2/3
D. 2.

Answers

The answer is 2. The power of 1/3 represents the cube root of a number. 2 multiplied by its self is 8.

Answer:

Step-by-step explanation:

8=2^3 so

(2^3)^(1/3)

2^(3(1/3))

2^1

2

the sum of 2 and a number divided by 3 is greater than -10​

Answers

Answer:

[tex]\frac{x}{3} + 2 > -10[/tex]

Step-by-step explanation:

Answer please
Delta math !!!

Answers

Answer:

x>8

Step-by-step explanation:

you first subtract 13 from both sides resulting in -2x<-16. Then you divide -2 on both sides and when you divide a negative on both sides you have to change the sign, -16/-2=8 so x>8.

Franky and Francesca applied to the same college. They looked up the average SAT score of students admitted to that college. Franky’s SAT score was 140 points above the average score. Francesca’s SAT score was 40 points below the average score. Which expression represents the difference in their scores?

❘-40 - 140❘
-❘140❘ - ❘40❘
-❘140❘ + ❘-40❘
❘140 - 40❘

Answers

It would be I140-40I
(So the last answer)
Hope this helped ^^

PLEASE HELP ILL GIOVE NBTAINLIEST

Answers

Sorry if this doesn't help

This is my work from a while ago

Answer: 6 feet by 3 feet

Step-by-step explanation:

The box cannot be congruent (meaning the same size) but has to be similar. Similar means same shape but either larger or smaller by a scaled amount. In this case, the garden has to be smaller. We just need to find a scale factor that works for both 12 and 6. The only possible answer that works is 6 feet by 3 feet. This would mean the original garden would be scaled down by half.

12/2= 6

6/2= 3

What percent of 80 is 45? Round to the nearest whole percent.​

Answers

Answer:

36

Step-by-step explanation:

80% of 45 is 36.

Have a FANTASTIC FRI-YAY!

answer if you want to

Answers

Answer:

11 x 8 x 21 = 1848

Step-by-step explanation:

Vertical, Complementary and Linear Pair Angles help me please

Answers

I saw this same type of question and page but with different numbers just 5 minutes ago...

Anyway here’s the answers:
1) Complementary
3x+1+44=90
3x+45=90
3x=45
x=5
2) Vertical
Ignore everything about the work. The answer is 120 degrees because they’re vertical angles.
3) Supplementary
15x-5+110=180
15x+105=180
15x=75
x=5
And I can’t see the last question clearly

HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

Answer:

STOP SPAMMING I CAN THEKP YOU BRO I CSNT HELP U...

Step-by-step explanation:GIV EU BAD DAY

attachment down below

Answers

Answer:

5/19

Step-by-step explanation:

The first one being a man is 10/20, or 1/2, odds. The second being a woman is 10/19 odds. Multiply these together to get 10/38, which is equal to 5/19.

find the area of the figure.

Answers

Answer:

28.5 united squared

Answer:

Check pdf

Step-by-step explanation:

What is the slope of the equation: y = - 5x -6

What is the y-intercept of the equation: y = 2x

Answers

Answer:

Step-by-step explanation:

y = mx +b

Here, m is slope and b is y-intercept

1) y = -5x - 6

Slope = -5

y-intercept = -6

2) y = 2x

Slope = 2

y-intercept = 0

You have a box with 3 blue marbles, 2 red marbles, and 4 yellow marbles. You are going to pull out one marble, record its color, put it back in the box and draw another marble. What is the probability of pulling out a red marble followed by a blue marble?
Group of answer choices

5/9

1/12

6/25

2/27

Answers

Answer:

Step-by-step explanation:

2/9 x 3/9 = 2/27

hope this helps!

How many grams of carbohydrates would you take in if you split this shake with a friend?
How much of your daily intake of cholesterol does this shake provide?
Out of the total carbohydrates, what percentage comes from sugars?
What is the percentage of calories from fat?

Answers

Answer:

cards would be 146.5 grams

Can anyone please help me with these

Answers

Answer: Natural/Counting = 1, 0, 6, 3,

Whole = 1234, 135

Integers = -42,260, -97

Rational = 0.5432, 14.4, 6.2, 6.5892,

-14.4, 7.7777777, -13.574,

3.14, 0.4, 6.2, 0.4, 0.34,

12/6, -8/4, -10/5, -3/4, -3/8,

3/7, -4/8, 6/2, -8/4

Irrational = √34, -√34, -√ 36, 2π, √81,

√300, √1, π.

;Hope this Helped with both Pages:)

Mars has m moons. The number of moons of Pluto is one more than twice the number of moons of Mars. The number of moons of Neptune is one less than 3 times the number of moons of Pluto. Write and interpret a simplified expression that represents the number of moons of Neptune (I’m just asking to answer because I didn’t see any right ones when I was scrolling through them)

Answers

Answer:

neptune = 6m+2

Step-by-step explanation:

mars has 'm' moons

pluto has one more than twice that of mars, = 2m+1

neptune is one less than thrice of pluto

= 3(2m+1) -1

= 6m+3 -1

= 6m+2

The angle of elevation from a kicker's foot on the football field to the top of the goal post is 17 degrees. If he is standing 131 feet from the base of the goal post, how tall is the goal post?​

Answers

Answer:

The goal post is 40.05 feet tall.

Step-by-step explanation:First, you need to decide whether to use sin, tan or cos.

You have the angle, the adjacent and need the opposite , so you need to find out which one has all three values in

Sin  

Cos  

Tan  

So you need to use tan.

Tan = opposite / adjacent, so rearrange the formula to make opposite the subject:

[tex]Opp = Tan * adj

So simply plug these values in:

[tex]Opp =131 * tan(17) = 40.05

So the goal post is 40.05 feet tall

explain why drawing a quick picture is helpful while adding decimals

Answers

Answer:

Drawing a quick picture is helpful when adding decimals because it gives you a visual picture of what the answer is. Also, it gives you the opportunity to be sure that you got the correct answer because computations in adding may have some mistakes.

Step-by-step explanation:

Which ratio is equivalent to 4 : 10 choose all that apply

Answers

Answer:

2:5

Step-by-step explanation:

2*2 = 4

5*2 = 10

Therefore, 2:5 :: 4:10

2.5 is the answer. Hope this helps!

El Señor Carlos Villa quién Pide al Banco Azteca un crédito de $110000 sobre una tasa del 10% al año su cantidad a pagar será de

Answers

Responder:

121 000

Explicación paso a paso:

Dado que :

Monto del crédito = 110.000; este es el monto principal, P del préstamo

Tasa de interés = 10% = 10/100 = 0.1

Usando la relación para determinar el monto a pagar al final del año:

A = P (1 + rt)

A = monto final

A = 110 000 (1 + 0,1 * 1)

A = 11 000 (1 + 0,1)

A = 110 000 (1,1)

A = 121 000

La cantidad a pagar al final del año = 121.000

The distance between the bottom of a boat in the water line is called a draft. A boat in the water rises 14 feet above the water. The boat's draft 6 feet. What is the vertical distance between the highest and lowest points of the boat?

Answers

Answer:

84

Step-by-step explanation:

because you multiplication the number

The answer is 84 because you have to multiply 6 and 14

Little help?
Given the coordinates of X,Y, and Z, as shown in the figure, find the perimeter of the triangle.
A. 6 units
B. 12 units
C. 15 units
D. 25 units

Answers

12 units ! Your welcome

This is a similar triangle. Please find the missing length. (?)

Answers

Answer:

RQ = 10

Step-by-step explanation:

When two triangles are similar, the ratio of their corresponding sides are equal;

Thus, we have it that;

QP/RQ = BC/AB

12/RQ = 36/30

RQ = 12 * 30/36 = 10

The first five terms of a sequence are shown. 4, 12, 36, 108, 324, .... Which function models the value of the nth term in the sequence such that f(1)=4? A. f(x)= 3 ( 4 ) x B. f(x)= 3 ( 4 ) x − 1 C. f(x)= 4 ( 3 ) x − 1 D. f(x)= 12 ( 3 ) x − 1

Answers

Answer: I believe it’s f(x)=4(3)^x-1

Step-by-step explanation:

On a certain hot​ summer's day, 310 people used the public swimming pool. The daily prices are $1.25 for children and $2.00 for adults. The receipts for admission totaled $581.75 How many children and how many adults swam at the public pool that​ day?

Answers

Answer:

Children: 51

Adults: 259

Step-by-step explanation:

Children = c Adults = a

$1.25 c + $2.00 a = $581.75

$1.25 c + $2.00 (310 - c) = $581.75

Multiply: $2.00 * 310 to get $620

Multiply: $2.00 * - c to get - $2.00 c

$1.25 c + $620 - $2.00 c = $581.75

Subtract both sides by $620

-$0.75 c = -$38.25

Divide both sides by -0.75

c = 51

We now know there are 51 children.

Overall, there are 310 people so we subtract:

310 - 51 = 259

This means:

a = 259

To check our answer:

51 * 1.25 = 63.75

259 * 2.00 = 518

518 + 63.75 = $581.75

Given a role of nickels. The diameter of one nickel is 0.835 inches, and the thickness is 0.077 inches. Find the surface area of a roll of $2 in nickels. Round to the nearest tenth. *use π on your sci calculator.

Answers

Answer:

ok

Step-by-step explanation:

i really need to know this im 2 days behind on math cause of family issues

Answers

Answer: The last graph

Quartiles, mean and medians all match up

!!!!!!!!!!!!!!!!!!PLEASE HELP ME ILL LITERALLY DO ANYTHING LITERALLY ANYTHING !!!!!!!!

Answers

Answer:

hiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

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