# A square patio has an area of 197 square feet how long is each side of the patio to the nearest 0.05

QUESTION POSTED AT 15/01/2020 - 03:11 AM

QUESTION POSTED AT 15/01/2020 - 03:11 AM

That would be C....x^2 - 7x + 6 = (x - 1)(x - 6)

ANSWERED AT 29/01/2020 - 05:40 PM

QUESTION POSTED AT 29/01/2020 - 05:40 PM

A. At 36 ft/s , it would reach the maximum height in 0.81 seconds

B. Highest height would be 29.25 feet

B. Highest height would be 29.25 feet

ANSWERED AT 29/01/2020 - 05:37 PM

QUESTION POSTED AT 29/01/2020 - 05:37 PM

Area Of Triangle:

4/2 = 2

2x6 = 12

12x2 = 24ft^2

Remaining area:

150 - 24 = 126ft^2

Maximum length:

126/6 = 21

x = 21ft

4/2 = 2

2x6 = 12

12x2 = 24ft^2

Remaining area:

150 - 24 = 126ft^2

Maximum length:

126/6 = 21

x = 21ft

ANSWERED AT 29/01/2020 - 05:37 PM

QUESTION POSTED AT 29/01/2020 - 05:37 PM

Formula for number of sides, n = 360 / e

Where e is the exterior angle for the number of sides.

e = 21.2°

Number of sides for the regular polygon, n = 360° / 21.2°

n ≈ 16.98

**The number of sides is approximately 16.98 sides..Does that make sense?**

**It does not. In fact, the exterior angle of a regular polygon has to be wholly divisible into 360°.**

In the case 21.2° can't clearly be the exterior angle, the question is wrongly set.

The exterior can be say 20°.

Where e is the exterior angle for the number of sides.

e = 21.2°

Number of sides for the regular polygon, n = 360° / 21.2°

n ≈ 16.98

In the case 21.2° can't clearly be the exterior angle, the question is wrongly set.

The exterior can be say 20°.

ANSWERED AT 29/01/2020 - 05:36 PM

QUESTION POSTED AT 29/01/2020 - 05:36 PM

Hello,

As

=π/6+2kπ or -π/6+2kπ

As

=π/6+2kπ or -π/6+2kπ

ANSWERED AT 29/01/2020 - 05:36 PM

QUESTION POSTED AT 29/01/2020 - 05:36 PM

Hello,

√(5-x)=4

==>5-x=16

==>x=-11

Proof:

√(5-(-11))=√16=4

√(5-x)=4

==>5-x=16

==>x=-11

Proof:

√(5-(-11))=√16=4

ANSWERED AT 29/01/2020 - 05:31 PM

QUESTION POSTED AT 29/01/2020 - 05:31 PM

Area x² = 10

x = √10 ≈ 3.16227

**x ≈ 3.162 mile** to the nearest thousandth. Option C.

x = √10 ≈ 3.16227

ANSWERED AT 29/01/2020 - 05:30 PM

QUESTION POSTED AT 29/01/2020 - 05:30 PM

i think its 11.45 rounded its 11.5 from what I found its this

ANSWERED AT 29/01/2020 - 05:25 PM

QUESTION POSTED AT 29/01/2020 - 05:25 PM

IT would be 6, 6√3, and 12

To find side lengths of a 30-60-90 triangle would be to use a²+b²=c². C is the hypotenuse (longest side), while a and b are the legs (short sides).

using these values we get 36(originally 6)+108(originally 6√3)=144(12), which is true.

To find side lengths of a 30-60-90 triangle would be to use a²+b²=c². C is the hypotenuse (longest side), while a and b are the legs (short sides).

using these values we get 36(originally 6)+108(originally 6√3)=144(12), which is true.

ANSWERED AT 29/01/2020 - 05:24 PM

QUESTION POSTED AT 29/01/2020 - 05:24 PM

10 feet 6 inches = 126 inches. Length of the car is 126 inches and the model length is 7 inches.

126 : 7 = 18

The scale factor of the model to the actual car is** 1 : 18**.

126 : 7 = 18

The scale factor of the model to the actual car is

ANSWERED AT 29/01/2020 - 05:21 PM

QUESTION POSTED AT 29/01/2020 - 05:21 PM

4,572 is the answer.

ANSWERED AT 29/01/2020 - 05:12 PM

QUESTION POSTED AT 29/01/2020 - 05:12 PM

Let b = x

a = x + 773

x + x + 773 = 177973

2x + 773 = 177973

2x = 177973 - 773

2x = 177200

x = 177200/2

x = 88600

The other is x + 773, = 88600 + 773 = 89373

Each country is**88600**** and 89373 square kilometers**.

a = x + 773

x + x + 773 = 177973

2x + 773 = 177973

2x = 177973 - 773

2x = 177200

x = 177200/2

x = 88600

The other is x + 773, = 88600 + 773 = 89373

Each country is

ANSWERED AT 29/01/2020 - 05:03 PM

QUESTION POSTED AT 29/01/2020 - 05:03 PM

Its F(t)=16^2+3t not the other ones

ANSWERED AT 29/01/2020 - 04:53 PM

QUESTION POSTED AT 29/01/2020 - 04:53 PM

Interpolation equation

Poit 1: (a,b)

Point 2: (c,d)

Intermediate point (x,y)

(d - b)/(c - a) = (y - b) / (x - a)

(a,b) = (2, 4.2)

(c,d) = (4, 5.6)

x = 3

(5.6 - 4.2) / (4 - 2) = (y - 4.2) / (3 -2)

y = [1.4/2]*[1] + 4.2

y = 0.7 + 4.2 = 4.9

Answer 4.9 miles

Poit 1: (a,b)

Point 2: (c,d)

Intermediate point (x,y)

(d - b)/(c - a) = (y - b) / (x - a)

(a,b) = (2, 4.2)

(c,d) = (4, 5.6)

x = 3

(5.6 - 4.2) / (4 - 2) = (y - 4.2) / (3 -2)

y = [1.4/2]*[1] + 4.2

y = 0.7 + 4.2 = 4.9

Answer 4.9 miles

ANSWERED AT 29/01/2020 - 04:51 PM

QUESTION POSTED AT 29/01/2020 - 04:51 PM

**Answer: **45 feet by 67.5 feet.

**Step-by-step explanation:**

**Given: **To draw the sketch of the Roosevelt room in the white house=

The dimensions of the sketch is 3 feet by 4.5 feet .

To find the actual dimensions of the room multiply the dimensions of the sketch by the reciprocal of scale factor . [because to sketch we need to multiply scale factor to the actual dimensions]

The reciprocal of the scale factor =

3 feet → feet

4.5 feet → feet

**Hence, The dimensions of the actual dimensions of the room is 45 feet by 67.5 feet.**

ANSWERED AT 29/01/2020 - 04:47 PM

QUESTION POSTED AT 29/01/2020 - 04:47 PM

The side opposite the angle 19 degrees is given by 15sin 19 = 4.9 units, while the side adjacent the angle 19 degrees is given by 15cos 19 = 14.2 units.

ANSWERED AT 29/01/2020 - 04:36 PM

QUESTION POSTED AT 29/01/2020 - 04:36 PM

To answer the question above, substitute the given value of height.

25 = -16x² + 50t + 4

Solving the following equation by the use of quadratic formula,

x = (-b +/- sqrt (b² - 4ac)) / 2a

Subsituting the known values of a, b, and c

x = (-50 +/- sqrt (50² - 4(-16)(-21)) / 2x-16

The values of x are 0.5 and 2.625. Therefore, the answer is the fourth choice.

25 = -16x² + 50t + 4

Solving the following equation by the use of quadratic formula,

x = (-b +/- sqrt (b² - 4ac)) / 2a

Subsituting the known values of a, b, and c

x = (-50 +/- sqrt (50² - 4(-16)(-21)) / 2x-16

The values of x are 0.5 and 2.625. Therefore, the answer is the fourth choice.

ANSWERED AT 29/01/2020 - 04:36 PM

QUESTION POSTED AT 29/01/2020 - 04:36 PM

1. The distance formula given two points is,

d = sqrt ((x2 - x1)² + (y2 - y1)²)

Substituting the given values,

d = sqrt ((12 - 0)² + (3 - 5)²) = 12.17 or aproximately 12.2

2. Calculate the distance between points T and U and from U to V

( T to U) d = sqrt ((20 - 80)² + (60 - 20)²) = 72.11

(U to V) d = sqrt ((110 - 20)² + (85 - 60)²) = 93.41

Adding this distances gives an answer of approximately equal to 165.52. The answer is letter A.

d = sqrt ((x2 - x1)² + (y2 - y1)²)

Substituting the given values,

d = sqrt ((12 - 0)² + (3 - 5)²) = 12.17 or aproximately 12.2

2. Calculate the distance between points T and U and from U to V

( T to U) d = sqrt ((20 - 80)² + (60 - 20)²) = 72.11

(U to V) d = sqrt ((110 - 20)² + (85 - 60)²) = 93.41

Adding this distances gives an answer of approximately equal to 165.52. The answer is letter A.

ANSWERED AT 29/01/2020 - 04:35 PM

QUESTION POSTED AT 29/01/2020 - 04:35 PM

**Answer:**

**Step-by-step explanation:**

its A i just took the test

ANSWERED AT 29/01/2020 - 04:35 PM

QUESTION POSTED AT 29/01/2020 - 04:35 PM

First, solve for the square root of 88. The numerical value of square root of 88 is approximately 9.38. This real number lies between the integers 9 and 10. Thus, the answer for this item is letter C. 9 and 10.

ANSWERED AT 29/01/2020 - 04:34 PM

QUESTION POSTED AT 29/01/2020 - 04:34 PM

Use the fundamental principle of counting. In the first seat, we can choose the seater from the four persons. On the next seat, only 3 people would be available. On the second, there are 2 and finally 1 to the last seat. Multiply all the possible number of seaters,

4 x 3 x 2 x 1 = 16

Thus, the answer is letter C.

4 x 3 x 2 x 1 = 16

Thus, the answer is letter C.

ANSWERED AT 29/01/2020 - 04:34 PM

QUESTION POSTED AT 29/01/2020 - 04:34 PM

We are given with a regular 15-gon with a perimeter of 90 meters. In this case, side length is equal to 90/15 or 6 m. The angle inside the center is 360/15 or 24 degrees. We determine the area of each triangle (15 of them) and just multiply by 15 to get the total area. The height of each triangle is tan (12) = 3/ h where h is equal to 14.11 meters. Hence the area is 0.5*14.11*6*15 or equal to 635.13 meters.

ANSWERED AT 29/01/2020 - 04:33 PM

QUESTION POSTED AT 29/01/2020 - 04:33 PM

The fourth side of the quadrilateral can be determined by taking the sin of the difference of 120 and 90 in which the expression becomes sin 30 = x/12 where x is the extra length difference from the third side. x is equal to 6. Hence the fourth side is equal to 8+6 or 14 cm. The area of the quadrialteral is the sum of the rectangle and the area of triangle. The area of the rectangle is 8*12 equal to 96 cm2.The area of teh triangle is .5*6*6. The sum or the total area is equal to 127.18 cm2.

ANSWERED AT 29/01/2020 - 04:33 PM

QUESTION POSTED AT 29/01/2020 - 04:33 PM

Remember that an extraneous solution of an equation is a solution that emerges from the algebraic process of solving the equation but is not a valid solution of the equation.

First, we are going to solve our equation algebraically:

**Step 1 **simplify the equation:

**Step 2 **subtract 5 from both sides of the equation:

**Step 3** square both sides of the equation:

Next, we are going to replace our solution in our original equation and check if it is a valid solution:

Since 9 is not equal to 1, is not valid solution of the equation; therefor it is an extraneous solution.

We can conclude that the correct answer is: **x = 16, solution is extraneous**

ANSWERED AT 29/01/2020 - 04:33 PM

QUESTION POSTED AT 29/01/2020 - 04:33 PM

Looks like sin is best here

sin (7) = opp / hyp

sin (7) = 400 / x

x sin (7) = 400

x = 400 / sin (7)

So we need to get the value of x.

x = 400 / sin (7)

x = 400 / 0.1218

x = 3284.07

Roughly, the correct answer is 3284.1 meters

sin (7) = opp / hyp

sin (7) = 400 / x

x sin (7) = 400

x = 400 / sin (7)

So we need to get the value of x.

x = 400 / sin (7)

x = 400 / 0.1218

x = 3284.07

Roughly, the correct answer is 3284.1 meters

ANSWERED AT 29/01/2020 - 04:32 PM

QUESTION POSTED AT 29/01/2020 - 04:32 PM

Find the area (A) of the rectangular wall by multiplying the dimensions,

A = L x W

Substituting,

A = (32 ft) x (16 ft) = 512 ft²

a. (512 ft²) x (1 L / 100 ft²) x (1 gal/ 3.79 L) = 1.35 gal

b. The nearest whole number that is greater than 1.35 is 2. So, 2 containers should be bought.

c. There will remain an amount of 0.65 gallon which is equal to 2.4635 L.

A = L x W

Substituting,

A = (32 ft) x (16 ft) = 512 ft²

a. (512 ft²) x (1 L / 100 ft²) x (1 gal/ 3.79 L) = 1.35 gal

b. The nearest whole number that is greater than 1.35 is 2. So, 2 containers should be bought.

c. There will remain an amount of 0.65 gallon which is equal to 2.4635 L.

ANSWERED AT 29/01/2020 - 04:32 PM

QUESTION POSTED AT 29/01/2020 - 04:32 PM

Well, the way I see it is that both Mr. Romano, and Ms. Guerra are correct but Professor McCoy is incorrect because he said (x+2) when it should be (x-2).

The factor theorem states that:

If f(a)=0, then (x-a) is a factor

The remainder theorem states that:

If (x-a) is a factor of f(x), then f(x) / (x-a) = 0

So if 2 is indeed a zero of f(x), then a factor must be (x-2) according to the fist which supports Ms. Guerra and also if (x-2) is indeed a factor as Ms. Guerra says then we know that f(x) / (x-a) = 0 which supports Mr. Romano

Professor McCoy is wrong because he used (x + 2) when it should be (x-2). I know this because according to the factor theorem if f(a)=0, then (x-a) is a factor. And the remainder theorem says if (x-a) is a factor of f(x), then f(x)/x-a =0.

ANSWERED AT 29/01/2020 - 04:30 PM

QUESTION POSTED AT 29/01/2020 - 04:30 PM

9.0285 rounded to the nearest hundredth is 9.03

ANSWERED AT 29/01/2020 - 04:27 PM

QUESTION POSTED AT 29/01/2020 - 04:27 PM

Α - the angle of elevation:

tan α = 8/6 = 1.33333...

α = tan ^(-1) 1.3333...

**α ≈ 53.13 °**

tan α = 8/6 = 1.33333...

α = tan ^(-1) 1.3333...

ANSWERED AT 29/01/2020 - 04:26 PM

QUESTION POSTED AT 29/01/2020 - 04:26 PM

For this case we have the following quadratic equation:

Where,

t: time

s: height of the ball

By the time the height is 20 feet we have:

Rewriting the polynomial we have:

Using the quadratic formula we have:

Substituting values we have:

Doing the calculations we have the roots are:

**Answer:**

**the time when the football will be 20ft above the ground is:**

**B) 0.73 seconds or 1.46 seconds**

Where,

t: time

s: height of the ball

By the time the height is 20 feet we have:

Rewriting the polynomial we have:

Using the quadratic formula we have:

Substituting values we have:

Doing the calculations we have the roots are:

ANSWERED AT 29/01/2020 - 04:24 PM

QUESTION POSTED AT 29/01/2020 - 04:24 PM