1. Stephen works for an environmental protection agency

responsible for toxic waste cleanup. Stephen has to

remove the top 24" of contaminated soil in order to make

sure the soil is not a health hazard. The soil covers a

1200' x 1500'lot. How much soil must be removed?

Answer: The distance from Shively to the tower is 386.1 meters

The distance from Sparzak to the tower is 226.9 meters

The distance from Shively to Spazak is 386.1 m + 226.9m = 616 meters.

Step-by-step explanation:

You can create a triangle rectangle between the position of each boy, the bottom of the tower and the top of the tower.

From the left kid (i think is Shively), we have that the top angle (formed between the perpendicular line to the tower and the tower) must be:

A = 90° - 40° =50°

(that is a 90° angle divided by the hypotenuse of the triangle, then if one side is 40°, the other angle should be such that when we add bot angles the sum is 90°)

Now, we want to find the opposite cathetus to this angle, so we can use the relation:

Tan(A) = Opposite cath/adjacent cath.

And we know that the adjacent cathetus, the tower, is 324m long.

then:

Tan(50°) = X/324m.

Tan(50°)*324m = X = 386.1m

now for the other kid (the one in the right, Sparzak), the angle will be 90° - 55° = 35°.

So we have:

Tan(35°) = X/324m

Tan(45°)*324m = 226.9m

then:

The distance from Shively to the tower is 386.1 meters

The distance from Sparzak to the tower is 226.9 meters

The distance from Shively to Spazak is 386.1 m + 226.9m = 616 meters.

Answer:

[tex]72.16 \: {units}^{2} [/tex]

Step-by-step explanation:

[tex]surface \: \: \: area \\ = {a}^{2} + 2a \sqrt{ \frac{ {a}^{2} }{4} + {h}^{2} } \\ = {5}^{2} + 2 \times 5 \times \sqrt{ \frac{ {5}^{2} }{4} + {4}^{2} } \\ = 72.16 \: {units}^{2} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

[tex]4x-5x+2=0[/tex]

Answer:

2

Step-by-step explanation:

Its an extraneous solution, not a normal solution. It shouldn't be -4, it should be 2.

The extraneous solution obtained by Kaylee is y = 4.

To solve the equation, let's follow Kaylee's approach and square both sides:

[tex](1 - y)^2 = (2y^2 - 7)[/tex]

Expanding the left side:

[tex]1 - 2y + y^2 = 2y^2 - 7[/tex]

Rearranging the equation and combining like terms:

[tex]y^2 - 2y^2 + 2y - 1 - 7 = 0\\\\-y^2 + 2y - 8 = 0[/tex]

Now, to solve this quadratic equation, we can factor it:

-(y - 4)(y + 2) = 0

Setting each factor equal to zero:

y - 4 = 0   or   y + 2 = 0

Solving for y in each equation:

y = 4   or   y = -2

However, we need to check if these solutions are extraneous by substituting them back into the original equation:

For y = 4:

[tex]1 - 4 = \sqrt{2(4^2) - 7}\\\\-3 = \sqrt{32 - 7}\\\\-3 = \sqrt{25}[/tex]

-3 ≠ 5

For y = -2:

[tex]1 - (-2) = \sqrt{2(-2^2) - 7}\\\\3 = \sqrt{8 - 7}\\\\3 = 1[/tex]

From the above analysis, we see that when y = 4, it leads to an extraneous solution, as it does not satisfy the original equation.

Therefore, the extraneous solution obtained by Kaylee is y = 4.

To know more about extraneous solution, refer here:

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Answer: 63 square units

Step-by-step explanation:

Area of a parellelogram = b x h

7 x 9 = 63 square units

Answer:

63

The triangle can be moved to the other side making the parallelogram a rectangle with a length and width of 7 and 9

7 x 9 = 63

Step-by-step explanation:

Answer:

[tex]2x - 3y = 12[/tex]

[tex]-4(2x - 3y) = -4(12)[/tex]

Step-by-step explanation:

Given

[tex]y = \frac{2}{3}x - 4[/tex]

Required

Equivalents of the given equation;

We start by multiply both sides of the equation by 3

[tex]3* y = 3(\frac{2}{3}x - 4)[/tex]

[tex]3y = 3 * \frac{2}{3}x - 3 * 4[/tex]

[tex]3y = 2x - 12[/tex] ---- Equation 1

Subtract 3y from both sides

[tex]-3y + 3y = 2x - 12 - 3y[/tex]

[tex]0 = 2x - 12 - 3y[/tex]

Add 12 to both sides

[tex]12 + 0 = 2x - 12 - 3y + 12[/tex]

[tex]12 = 2x - 3y[/tex]

Rearrange:

[tex]2x - 3y = 12[/tex] ---- This is equivalent to the given equation;

Multiply both sides of the above equation by -4

[tex]2x - 3y = 12[/tex]

[tex]-4(2x - 3y) = -4(12)[/tex]  ---- This is also equivalent to the given equation;

From the list of given options, only these two are equivalent to [tex]y = \frac{2}{3}x - 4[/tex]

Answer:

Answer:

Step-by-step explanation:

Given

Required

Equivalents of the given equation;

We start by multiply both sides of the equation by 3

---- Equation 1

Subtract 3y from both sides

Add 12 to both sides

Rearrange:

---- This is equivalent to the given equation;

Multiply both sides of the above equation by -4

 ---- This is also equivalent to the given equation;

From the list of given options, only these two are equivalent to

Step-by-step explanation:

Answer:

8/X= 1

Step-by-step explanation:

"8/X= 1" requires the multiplication property of equality for 'x' to get solved.

[tex]\frac{8}{x}=1\\\\\frac{8}{x}*x=1*x \leftarrow\text{Multiplication Property of Equality}\\8 = x \\\\\boxed{x=8}[/tex]

Answer:

Step-by-step explanation:

I would probably say C which is 8/X= 1.

The first one uses the division property of equality.

The second uses the subtraction property of equality.

The third uses multiplication property of equality, which basically means  mulitplying both sides of an equation by the same quantity.

The last one does not follow any property that I am aware of or am acquainted with.

Answer:

3. A = 363.3 mm²

4. A= A = 1122.4 yd²

Step-by-step explanation:

pretty sure these are correct

plz mark brainliest!

Answer:

224

Step-by-step explanation:

I used an average calculator and tried every possibility, adding 224 in results in an anverage of exactly 190.

Answer:

224

Step-by-step explanation:

190x3=570

570-126-220=224

So ben must bowl a 224

Answer:

45/12

Step-by-step explanation:

first open the brackets +(-5½)= -5½

-7⅔-5½+8¾ put liketerms together

8¾-5½-7⅔

(find the LCM of the denominator 4,2,3 that is 12)

change the improper fraction to proper fraction 35/4-11/2-23/3.

(multiply by the 12 to make the denominator same)

(35/4x12)-(11/2x12)-(23/3x12)

105-66-92 = -53/12

12

=-45/12

On evaluating the expression - 7[tex]\frac{2}{3}[/tex] + (-5[tex]\frac{1}{2}[/tex]) + 8[tex]\frac{3}{4}[/tex] , we get  -4[tex]\frac{5}{12}[/tex].

Fractions represent the parts of a whole or collection of objects. A fraction has two parts. The number on the top of the line is called the numerator.  The number on the bottom of the line is called the denominator.

Given is the following expression -

- 7[tex]\frac{2}{3}[/tex] + (-5[tex]\frac{1}{2}[/tex]) + 8[tex]\frac{3}{4}[/tex]

We have the following expression -

- 7[tex]\frac{2}{3}[/tex] + (-5[tex]\frac{1}{2}[/tex]) + 8[tex]\frac{3}{4}[/tex]

On solving, we get -

- 23/3 - 11/2 + 35/4

35/4 - 23/3 - 11/2

(105 - 92 - 66)/12

(105 - 158)/12

-53/12

-4[tex]\frac{5}{12}[/tex]

Therefore, on evaluating the expression - 7[tex]\frac{2}{3}[/tex] + (-5[tex]\frac{1}{2}[/tex]) + 8[tex]\frac{3}{4}[/tex] , we get  -4[tex]\frac{5}{12}[/tex].

To solve more questions on fractions, visit the link below-

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The perimeter of rectangle is 10x-2

please see the attached picture for full solution

Hope it helps

Good luck on your assignment...

Answer:

10x-2

Step-by-step explanation:

We know the length is 3x-1. There are two lengths in a rectangle. Therefore, we multiply 3x-1 by 2 to get 6x-2. That is the sum of the two lengths.

Now for the width. Just as with the length there are two widths in a rectangle. After multiplying 2x by 2, we get 4x.  That is the sum of the two widths.

To get the perimeter, we need to add both the lengths and both the widths together. Using what we did before, we add 4x + 6x - 2 to get 10x - 2 Hope this helps :)

Answer:

x = 9

Step-by-step explanation:

Given

3x - [tex]\frac{1}{5}[/tex] - [tex]\frac{2}{9}[/tex] x = [tex]\frac{124}{5}[/tex] ( add [tex]\frac{1}{5}[/tex] to both sides

3x - [tex]\frac{2}{9}[/tex] x = [tex]\frac{124}{5}[/tex] + [tex]\frac{1}{5}[/tex] = [tex]\frac{125}{5}[/tex] = 25 ← combine x- terms on left side

[tex]\frac{25}{9}[/tex] x = 25 ( multiply both sides by 9 )

25x = 225 ( divide both sides by 25 )

x = 9

Answer:

see explanation

Step-by-step explanation:

1

Given

2x² - 16 = 0 ( add 16 to both sides )

2x² = 16 ( divide both sides by 2 )

x² = 8 ( take the square root of both sides )

x = ± [tex]\sqrt{8}[/tex] = ± 2[tex]\sqrt{2}[/tex]

------------------------------------

2

Given

- 5x² + 9 = 0 ( subtract 9 from both sides )

- 5x² = - 9 ( divide both sides by - 5 )

x² = [tex]\frac{9}{5}[/tex] ( take the square root of both sides )

x = ± [tex]\sqrt{\frac{9}{5} }[/tex] = ± [tex]\frac{3}{\sqrt{5} }[/tex]

-----------------------------------------

3

Given

6x² - 15 = 27 ( add 15 to both sides )

6x² = 42 ( divide both sides by 6 )

x² = 7 ( take the square root of both sides )

x = ± [tex]\sqrt{7}[/tex]

Answer:

Positive Correlation

Step-by-step explanation:

The Points on the graph are increasing upward, which would make this a positive correlation.

Answer:

The one that has the number of meals in the side and the one that has number of days

Step-by-step explanation:

If it’s 3 meals a day u would want the one that says meals and days now if u look at the chart u can see that this one has 3 meals for one day which is the same as the equation she has

Hope this helps

Answer:

x <-8

Step-by-step explanation:

3-(2x-5) < -4(x+2)

Distribute

3 -2x+5 < -4x-8

Combine like terms

8 -2x < -4x-8

Add 4x to each side

8 -2x+4x< -4x-8+4x

8+2x < -8

Subtract 8 from each side

8-8+2x< -8-8

2x<-16

Divide by 2

2x/2 < -16/2

x <-8

Answer:

[tex]x < - 8[/tex]

First answer is correct

Step-by-step explanation:

[tex]3 - (2x - 5) < - 4(x + 2) \\ 3 - 2x + 5 < - 4x - 8 \\ 3 + 5 + 8 < + 2x - 4x \\ 16 < - 2x \\ \frac{16}{ - 2} < \frac{ - 2x}{ - 2} \\ x < - 8[/tex]

hope this helps you.

brainliest appreciated

good luck! have a nice day!

Answer:

The answer is option 1.

Step-by-step explanation:

You have to use Distributive Laws,

[tex]a(b + c) = ab + ac[/tex]

So for this question :

[tex](6r - 1)( - 8r - 3)[/tex]

[tex] = 6r( - 8r) + 6r( - 3) - 1( - 8r) - 1( - 3)[/tex]

[tex] = - 48 {r}^{2} - 18r + 8r + 3[/tex]

[tex] = - 48 {r}^{2} - 10r + 3[/tex]

The product of the expression is (6r - 1) (-8r - 3) is negative 48 r squared minus 10 r + 3.

Algebraic expression is a mathematical equation in which one or both sides is an algebraic expression, such as 2x + 7y = 3.

According to this question, the following expression is given:

(6r - 1) (-8r - 3)

Therefore, the product of the expression is -48r² -10r + 3

Learn more about algebra at: https://brainly.com/question/953809

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Answer:

yes

Step-by-step explanation:

yes

1/7 as a decimal is 0.1428571429

But if you round that to the nearest 2 decimal place it is 0.14

I really hope this helps.

Answer:

The correct option is;

There is a greater percentage of LA residents who own a car than NYC residents who do

Step-by-step explanation:

The values are presented as follows;

LA residents who own a car = 3251

NYC residents who own a car = 1478

Total residents who own a car = 4729

LA residents who do not own a car = 869

NYC residents who do not own a car = 6182

Total residents who do not own a car = 7051

Total LA residents sampled = 4120

Total NYC residents sampled = 7660

Total residents of both cities sampled = 11780

Percentage of LA residents who own a car = (3251/4120)×100 = 78.9%

Percentage of NYC residents who own a car = (1478/7660)×100 = 19.3%

The total number of people in the poll who own a car = 4729

Therefore, the correct option is that there is a greater percentage of LA residents who own a car than NYC residents who do.

Answer: B. There is a greater percentage of LA residents who own a car than NYC residents who do.

Answer:

Hira

Step-by-step explanation:

They are going at the fastest speed as 9 is the most

Answer:

Hira

Step-by-step explanation:

Answer:

The speed of aircraft is 600 mph.

Step-by-step explanation:

Given distance = 120 miles

Time for which jet flew : from 10:20 AM to 10:32 AM

Total duration for which jet flew =  10:32 - 10:20  = 12 minutes

(from 10 hours 32 minutes and 10 hours 20 minutes

10 hours gets cancelled, 32 minutes - 20 minutes is 12 minutes)

here time is in minutes, we have to convert it in hours

we know

60 minutes = 1 hour

1 minutes = 1/60 hour

multiplying LHS and RHS by 12

1*12 minutes =  (1/60) *12hour

12 minutes =  (1/60) *12hour

12 minutes = 1/5 hours

We know

speed = distance / time

distance = 120 miles

time = 1/5 hours

speed = 120 miles/ (1/5 hours)

speed = 120 * 5 mph = 600 mph

The speed of aircraft is 600 mph.

Answer:

x^3 + 3x^2 + 4x + 12

Answer:

A = 2 (on the left). 10 (on the right)

Step-by-step explanation:

Use pythgaros therom

Do 7^2 - 3^2 = 40

Do square root of 40 which equals the answer

Answer:

1. 0.5

2. 3/4

3. -6

4. 5x

Step-by-step explanation:

1. A coefficient is a number that is placed in front of an algebraic term/variable in an expression or equation.

The decimal coefficient is therefore 0.5. It is the coefficient of x.

2. The fractional coefficient is 3/4. It is the coefficient of y.

3. The negative coefficient is -6. It is the coefficient of b.

4. A like term is one which contains the same type of terms as another term.

3x is a like term of 5x, because it contains a numerical term and an algebraic term to the power of 1.

Answer:

36 / pi = h

Using 3.14 for pi

h =11.46496815 inches

Using the pi button

h =11.45691559 inches

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

We know the volume and the radius

576 = pi ( 4)^2 h

576 = pi 16 h

Divide each side by 16 pi

576/16 pi = pi 16 h/ 16 pi

36 / pi = h

Using 3.14 for pi

h =11.46496815 inches

Using the pi button

h =11.45691559 inches

it’s d; f(x)= 12 (2/3)^x

Answer:

16/31 or ≈ 52%

Step-by-step explanation:

1. Find the total students in the class.

  15 + 16 = 31

2. Make a fraction (girl/total students)

  16/31

Your answer as a fraction is 16/31. If you have to change it to a percent, you would get around 52%.