My kid already tried 3x7x7x7x7 = 3 x 7 to the power of 4 but it says it’s wrong, help please!

The width of a rectangular field is 20 feet less than its length. The area of the field is 12,000 ft? What is the length of the

Scilla [17]

Answer:

The answer is 120 feet.

Step-by-step explanation:

The area of the field (A) is:

A = w · l (w - width, l - length)

It is known:

A = 12,000 ft²

l = w - 20

So, let's replace this in the formula for the area of the field:

12,000 = w · (w - 20)

12,000 = w² - 20

⇒ w² - 20w - 12,000 = 0

This is quadratic equation. Based on the quadratic formula:

ax² + bx + c = 0 ⇒

In the equation w² - 20w - 12,000 = 0, a = 1, b = -20, c = -12000

Thus:

So, width w can be either

or

Since, the width cannot be a negative number, the width of the field is 120 feet.

6 0

3 years ago

Read 2 more answers

A rug is to be centered in a room so that the border around it is of a consistent width on all four sides. If the room is 10 ft

aleksley [76]

Answer:

The width of the border can be 9 feet or 3.5 feet.

Step-by-step explanation:

Let the width be x

Length of room = 10 feet

Breadth of room = 15 feet

Length of rug = 10-2x

Breadth of rug = 15-2x

Area of rug = $(10-2x)(15-2x)$

We are given that the area of the rug is 24 square feet.

So, $(10-2x)(15-2x)=24$ ---A

$150-20x-30x+4x^2=24$

$150-24-50x+4x^2=0$

$126-50x+4x^2=0$

$2(x-9)(2x-7)=0$

$x=9,\frac{7}{2}$

$x=9,3.5$

Substitute x =9 in A

$(10-2(9))(15-2(9))=24$

$24=24$

LHS = RHS

Substitute x = 3.5

$(10-2(3.5))(15-2(3.5))=24$

$24=24$

LHS = RHS

So, The width of the border can be 9 feet or 3.5 feet.

7 0

3 years ago

100 POINTS FOR ANYONE WHO CAN ANSWER THESE! <3

faust18 [17]

Answer:

∠1 = 142°

reason: angles 1 and 2 are supplementary so they equal 180. 180-38 is 142

∠3 = 38°

reason: angles 2 and 3 are adjacent angles because they are diagonal from each other so they will equal the same measure.

∠4 = 142°

reason: since angle 4 is adjacent to angle 1 and is supplementary to angle 3, it has to be 142

∠5 = 38°

reason: since it is a transversal that means both of the intersections are the same measurements. so angle 5 is 38 since it matches up with angle 2

∠6 = 142°

reason: for the same reason as angle 5. angle 6 matches up with angle 1 so it has to equal 142.

∠8 = 142°

reason: since angle 8 is adjacent to angle 6 it has to equal 142. angle 8 is also a transverse angle to angle 4. and since angle 4 also equals 142, 8 has to also

Step-by-step explanation:

hope this helped you :)

8 0

3 years ago

Helppppppppppppp helppppppppppppp

AlekseyPX

Answer: 2

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Parking at a large university has become a very big problem. University administrators are interested in determining the average

Oduvanchick [21]

Answer:

The 260 students that are followed.

Step-by-step explanation:

According to the situation explained in the question, the university administration is trying to collect data on the students' parking times to figure out a solution for the parking problem in the university.

After following and collecting data from 260 students, the population of interest to the university administration should be the all 260 students that the data is collected from because population of interest describes a "population" that are being studied and having data collected from them.

I hope this answer helps.

7 0

3 years ago