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?

Answers

Answer 1

The length of BD is 16.97.

Trigonometry

To determine, given that right triangle ABC with altitude BD is drawn to hypotenuse AC, if AD = 36 and DC = 8, what is the length of BD in simplest radical form, the following calculation must be performed:

Hypotenuse AC = AD + DC = 36 + 8 = 44Altitude = square root of the multiplication of AD and DC√(36 x 8) = X√288 = X16.97 = X

Therefore, the length of BD is 16.97.

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Related Questions

QUICKEST ANSWER GETS BRAINLIEST If you work more than 40 hours a week, then you are paid time and a half (1.5) for all hours over 40. If you work 46 hours this week, how much
did you earn if you are paid 9.25 an hour.
a
370
b
453.25
435.25
425.50

Answers

Answer:

I think its D 425.50

Step-by-step explanation:

If you do 46 times 9.25 it should be the answer

The circumference of frisbee is 12.56 inches. What is the frisbee’s radius?

30 points please show work thank you!!

Answers

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

Formula for circumference

C = 2πr

Where

C is the circumference

r is the radius

π is constant (i.e pi)

How to determine the radius

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

Circumference (C) = 12.56 inPi (π) = 3.14 Radius (r) =?

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:

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Bobby is reading a new book about dragons and wizards. He reads 1/5 of a chapter every night
before bed. There are 15 chapters in the book. How many days will it take Bobby to finish the
book?

Answers

Answer:

75 nights

Step-by-step explanation:

= 15 ÷ 1/5

= 15 × 5/1

=15×5/1 = 75

Explain how this graph demonstrates how the equation y = mx can be derived from the two points (1, m) and (x, y).

Answers

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

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

How to determine the equation from the graph

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

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What are the similarities and differences between translations, reflections, and rotations?
One paragraph or more ( 5 sentences) will reward for Brainly best description!

Answers

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:

What do you already know about stem-and-leaf plot?

Answers

Answer:

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

Step-by-step explanation:

Help meeeeeeee pleaseeeee

Answers

Answer:

Step-by-step explanation:

Answer:

y=2x

Step-by-step explanation:

1.10 apples for 3.50. How much is the cost for 70 apples

Answers

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.

Question
A boat is travelling due south at a speed of 53 miles per hour. If the boat started off 29 miles directly west of the city
Johnstown, how fast (in radians per hour) is the angle opposite the southward path changing when the boat has travelled 23
miles? (Do not include units in your answer, and round to the nearest hundredth.)

Answers

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

Complete the proof. Given LM¯¯¯¯¯¯¯¯¯≅JK¯¯¯¯¯¯¯¯, MJ¯¯¯¯¯¯¯¯≅KL¯¯¯¯¯¯¯¯ Prove △LMJ≅△JKL

Answers

Here is the proof :-

LM=JKMJ=KL

So

Adjacent angle is also equal

<LMJ=<JKL

Hence

∆LMJ=∆JKL(SAS)

Can someone help me with this problem.

Answers

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!!

PLEASE HELP!!!!
For 13–17, use the table at right. The table gives the populations of Toledo, Ohio, and Lexington, Kentucky, during the last three U.S. Censuses.

Answers

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.

In Tanzania, Helen invested TZS X300,000 in the shares of company X and TZS X550,000 in the shares of company Y. After a year, she sold all the shares of both companies for TZS X400,000 and TZS X700,000 respectively. What is her profit from company X?

Answers

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

What is the profit from the purchase?

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

At the local nursery, 1/6 of the plants for sale are flowers and another 5/12 of them are
bushes. What fraction of the plants for sale are either flowers or bushes?
Write your answer as a fraction or as a whole or mixed number.

Answers

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.

A linear function can be used to estimate the decrease in snowfall measured since 1920 the decrease in the annual snowfall has been an average of 0.24 in per year let X represent the number of years since 1920 when the measurements began and let y represent the annual snowfall the initial measurement in 1920 was 48.6 in using the average change and initial measurement which is the best estimate of the annual snowfall and the 78th year after records were kept round to the nearest hundredth of a 15.84 in B 27.72 in C 29.88 in D 67.32 in

Answers

Answer:

C- 29.88

Step-by-step explanation:

i did it on the edge test

Which is the graph of the linear inequalityx-2y> -6?​

Answers

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)

Please answer quick and show work !

The price of a bicycle that ms. motyka wants to buy is $282. How much will she pay for the bicycle if there is a 4% sales tax.

Answers

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

12. The weight of 7 chocolate bars in grams are 131, 127,125,127,133,129 and 127
Find the Range of the data. *
(1 Point)
125
127
8
O 129
13. Find the sum of *​

Answers

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.

7. Two measures of two angles of a triangle are 68° and 70°. Explain how to find the measure of the third angle.
+

Answers

68+70=180
=138=180
=180-138
=42 degrees (using angle sum property of triangles

Hope this helps you

Fatima earns $150 in 4 hours. At this rate, how many hours will it take her to earn $675?

Answers

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!!

A. 44
B. 112
C. 32
D. 35

Answers

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.

[tex]\frac{8+14}{2} *4[/tex] [tex]\frac{22}{2} *4[/tex] [tex]11*4[/tex] [tex]44[/tex]

Therefore, the answer is A. 44.

44 I think I mean grammatically in a off event angle the I would say yeah

Use synthetic division to solve (3x^4+6x^3+2x^2+9x+10)/(x+2) What is the quotient?

Answers

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

I WILL GAVE BRAINLIEST

Answers

Answer:

x < -14

Step-by-step explanation:

Step 1: Subtract 6 from both sides.

[tex]-3x+6-6 > 48-6[/tex] [tex]-3x > 42[/tex]

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

[tex]-3x/-3 > 42/-3[/tex] [tex]x < -14[/tex]

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

What is the product of (4^-2)(4^-1)

Answers

1/64 you can get this by dividing the two numbers and then adding what is left over and turn that into a fraction and you get 1/64

9+8+1=9+1+8
A. True
B. False

Answers

Answer:

true

Step-by-step explanation:

both sides have the same numbers and signs

Answer:

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

A 24-inch diameter pizza is cut into eight slices. What is the area of one slice?

Answers

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.

Question Help
The table shows median annual earnings for women and men with various levels of education. Assuming the difference in the table remains constant over a 40-year
career, approximately how much more does a man with a bachelor's degree earn than a man with a high school education?
High
School
Associate's Bachelor's Professional
Only
degree Only degree Only Degree
Women $21,513 $39,520 $49,577 $80,335
Men $40,460 $50,792 $66,245 $119,119
A man with a bachelor's degree earns more than a man with a high school education over a 40-year career. ws

Answers

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.

-4x=2 what does x equal

Answers

Answer:

-0.5

Step-by-step explanation:

-4x=2

2/-4= -0.5

x= -0.5

-4x=2

-4x/-4= 2/-4

1x= -1/2



I have started doing it, but I am not sure what to do next....

Answers

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

could you pls help with question 2

Answers

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

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