Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AD = 36 and DC = 8, what is the length of BD in simplest radical form?

Answer:

13)2000 per year

14)a_n = 350000 - 2000(n - 1)

15)3000 per year

16)a_n = 200000 + 3000(n - 1)

17)when when the number of years is more than 31 years, Lexington's population will be greater than toledo.

Step-by-step explanation:

13) From the table, the population of toledo is 350,000 in 1980 and 330000 in 1990.

Thus,population change from 1980 to 1990 is; 350000 - 330000 = 20000

Similarly, from 1990 to 2000, population went from 330000 to 310000. Change in population is; 330000 - 310000 = 20000

In both cases we see that in 10 years interval, the change is 20000 each.. Thus, for 1 year, change in population = 20000/10 = 2000 per year

14) The population of toledo after 1980 can be expressed using arithmetic progression. Formula is;

a_n = a + (n - 1)d

Where;

a is population in 1980

n is number of years after 1980

d is change in population per year.

Since the population decreases each year, then d will be negative. Thus;

Thus;. a_n = 350000 - 2000(n - 1)

15)From the table, the population of lexington is 200,000 in 1980 and 230000 in 1990.

Thus,population change from 1980 to 1990 is; 230000 - 200000 = 30000

Similarly, from 1990 to 2000, population went from 230000 to 260000. Change in population is; 260000 - 230000 = 30000

In both cases we see that in 10 years interval, the change is 30000 each.. Thus, for 1 year, change in population = 30000/10 = 3000 per year

16) like earlier stated The population of Lexington after 1980 can be expressed using arithmetic progression. Formula is;

a_n = a + (n - 1)d

Where;

a is population in 1980

n is number of years after 1980

d is change in population per year.

a_n = 200000 + 3000(n - 1)

17) we want to find the years in which the population of Lexington will be more than that of toledo.

This simply means the inequality is;

200000 + 3000(n - 1) > 350000 - 2000(n - 1)

Deduct 200000 from both sides;

200000 - 200000 + 3000(n - 1) > 350000 - 200000 - 2000(n - 1)

3000(n - 1) > 150000 - 2000(n - 1)

Add 2000(n - 1) to both sides to get;

3000(n - 1) + 2000(n - 1) > 150000

3000n - 3000 + 2000n - 2000 > 150000

5000n - 5000 > 150000

5000n > 150000 + 5000

5000n > 155000

n > 155000/5000

n > 31

Thus,when when the number of years is more than 31 years, Lexington's population will be greater than toledo.

Answer: $293.28

Step-by-step explanation:

We know that 282 is the 100% price tag on the bicycle. And there is a 4% tax applied to the 282. So we need to find out how much is 4% of 282.

282/100% = x/4% (we don’t know how much is 4% so its represented by X.

do a cross over where you end up with this:

282 (4) = x (100) we want to have X on its own as it represents the 4% to which we are looking for the amount in dollars. So you end up with this:

282 (4) /100 = x

solve the multiplication first and then divide.

1128/100 = x

11.28 = x

so now we know 4% of 282 is $11.28 so we add it to know how much does this person pay.

$282 + $11.28 = $293.28

Answer:

There are four main types of transformations: translation, rotation, reflection and dilation. A translation moves the object without rotating it or changing its size. Reflection flips the object about a line of reflection. Rotation rotates a figure about a fixed point. Dilation changes the size of a figure without changing its essential shape. When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite. a negative angle of rotation turns the figure in a clockwise direction. Transformation can be done in a number of ways, including reflection, rotation, and translation. ~When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite. A negative angle of rotation turns the figure in a clockwise direction.

Step-by-step explanation:

Answer:

Area of a slice = Area of the pizza ÷ 8

Therefore the area of the pizza equals:

AreaPizza = π r^2 ( r = diameter ÷ 2)

= π 6^2

= 113.097

AreaSlice = AreaPizza ÷ 8

= 113.097 ÷ 8

= 14.137 inches squared

To the nearest square inch, each slice is 14 inches squared.

Step-by-step explanation:

Hope this helps.

The equation y = mx of the graph is a linear equation

The linear equation that demonstrates the relationship on the graph is y = mx

The points on the graph are given as:

(1, m) and (x, y)

Start by calculating the slope (M)

[tex]M = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]M = \frac{y - m}{x - 1}[/tex]

The linear equation is then calculated as:

[tex]y = M(x - x_1) + y_1[/tex]

This gives

[tex]y = \frac{y - m}{x- 1}(x - 0) + 0[/tex]

[tex]y = \frac{y - m}{x- 1}(x)[/tex]

Cross multiply

[tex]yx-y = yx - mx[/tex]

Evaluate the common terms

[tex]-y =- mx[/tex]

Divide both sides by -1

y = mx

Hence, the equation of the graph is y = mx

Read more about linear equations at:

https://brainly.com/question/14323743

Answer:

A stem and leaf plot, or stem plot, is a technique used to classify either discrete or continuous variables.

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

both sides have the same numbers and signs

Answer:

true........its the same thing

Answer:

The range is from 125 to 133.

Step-by-step explanation:

That's the lowest and highest the weights go, therefore the range is from 125 and anything in between up to 133.

Here is the proof :-

So

Adjacent angle is also equal

Hence

9514 1404 393

Answer:

  $1,031,400

Step-by-step explanation:

A man with a high-school education earns $40,460 per year. A man with a bachelor's degree earns $66,245. The difference between these salaries is ...

  $66,245 - 40,460 = $27,785 . . . per year

Then in 40 years, the difference in earnings comes to ...

  (40 yr)($27,785/yr) = $1,031,400

A man with a bachelor's degree earns $1,031,400 more than a man with a high-school education over a 40-year career.

Answer:

D, 14 units

Step-by-step explanation:

Both coordinates have -5, so we know that 8 and -6 are at the same line.

We find the absolute value...

So 8=8 and -6=6. Lastly, we add them from 0 and 8+6= 14.

ANSWER IS 14 UNITS!!

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

x

=

1

3

Decimal Form:

0.3

this is the first one I'm not to good with area

Answer:

A. 44

Step-by-step explanation:

The area of a trapezoid is [tex]\frac{b_1+b_2}{2} * h[/tex], where b_1 and b_2 are the top and bottom bases, and h = height. We are given the bases as 8 and 14, and the height as 4.

Therefore, the answer is A. 44.

Answer:

C- 29.88

Step-by-step explanation:

i did it on the edge test

The profit from selling the shares in company X given the selling price and the purchase price is TZS X100,000.

Profit is the total selling price less the purchase price. A profit is earned when the selling price is greater than the cost price. If this is not the case, a loss is earned.

Profit = TZS X400,000 - TZS X300,000 = TZS X100,000

To learn more about profit, please check: https://brainly.com/question/26181966

Answer:

I think its D 425.50

Step-by-step explanation:

If you do 46 times 9.25 it should be the answer

Answer:

a) x=1/2

b) x=x

Step-by-step explanation:

a) x(1)=1/2

a) x=1/2

b) x(1)=x^0

b) x=x^0

b) x=x times 1

b) x=x

Diameter = cirumference / pie(3.14)

Radius = Diameter/ Radius

Radius is 2 inches

The radius of the frisbee with a circumference of 12.56 inches is 2 inches

C = 2πr

Where

C is the circumference

r is the radius

π is constant (i.e pi)

From the question given above, the following data were obtained:

C = 2πr

12.56 = 2 × 3.14 × r

12.56 = 6.28 × r

Divide both side by 6.28

r = 12.56 / 6.28

r = 2 inches

Therefore, we can conclude that the radius of the Frisbee is 2 inches

Learn more about calculations involving radius:

https://brainly.com/question/6145

Answer:

-0.5

Step-by-step explanation:

-4x=2

2/-4= -0.5

x= -0.5

9514 1404 393

Answer:

  7/12

Step-by-step explanation:

The fraction that is flowers or bushes is the sum of the fraction that are flowers and the fraction that are bushes:

  flowers + bushes = 1/6 + 5/12 = 2/12 + 5/12 = 7/12

7/12 are either flowers or bushes.

I think this is the answer i sorry if i am wrong

Answer:

$150 = 4 hours,

So, in a ratio, 4 : 150

=> 150 * 4.5 : 4 * 4.5

=> 675 : 18 hours

Therefore to earn $675 at the rate of $150 for 4 hours, Fatima will need to work for 18 hours to earn $675

If my answer helped, kindly mark me as the brainliest!!

Thank You!!

Answer: = ( x + 1) (3x^2 - 3x + 5)

Step-by-step explanation:

U juss cancel the comon facor x + 2

( x + 1) (x + 2) (3x^2 - 3x + 5)/ x + 2

and get ( x + 1) (3x^2 - 3x + 5)

Answer:

B --> 3x^3+2x+5

Step-by-step explanation:

For edge

Answer:

75 nights

Step-by-step explanation:

= 15 ÷ 1/5

= 15 × 5/1

=15×5/1 = 75

Answer:

4th graph (in bottom right corner)

Step-by-step explanation:

First, convert the given equation into slope-intercept form.

Given :-

1/2x - 2y > -6

-2y > -1/2x - 6

2y < 1/2x + 6

y < 1/4x + 3

As the < sign indicates, the line will be dotted and the solution set will be towards the origin in this case.

The correct option is the 4th graph (in bottom right corner)

Answer:

‎

Step-by-step explanation:

Answer:

y=2x

Step-by-step explanation:

Answer:

$0.31.

Step-by-step explanation:

If 1.10 apples cost $3.50, we should divide to find the rate per apple.

1.10/3.5  ≈ 0.31

0.31 is the aproximatley answer, since there is no clear answer (at least not from my work). 0.31*70=21.70

The cost of 70 apples are 0.31.

Answer:

x < -14

Step-by-step explanation:

Step 1: Subtract 6 from both sides.

Step 2: Divide both sides by -3 and flip the inequality sign.

Therefore, the answer is  x < -14.

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

x<−14

Interval Notation:

(−∞,−14)

hope this helps