In right triangle ABC below, CD is the altitude to hypotenuse AB. If CD=6 and the ratio of AD to AB is 1:5, determine and state the length of BD.

Answers

Answer 1

Step-by-step explanation:

the altitude makes a right angle at hypotenuse

cd^2+ ad^2 = ac^2

36+ (h/5)^2 = ac^2

ad/ab = 1/5; ad/h = 1/5; ad=h/5

similarly

bd^2+cd^2 = bc^2

(4/5)^2+ 36 = bc^2

ac^2+bc^2 = ab^2

36+h^2/25+ 16/25h^2+36 = h^2

h= 15

bd/ab = 4/5

bd= .8*15=12


Related Questions

Fill in the table above.
What’s the ratio of cost to bags of salad?



How much does one bag of salad cost (unit rate)?

Answers

1 bag of salad costs $6
4 bags of salad cost $24
7 bags of salad cost $42

ratio 1:6

one bag of salad is $6; six dollars per bag of salad

Find the total cost of a $25 haircut with a 20% tip round to the nearest cent when necessary

Answers

Answer:

$30

Step-by-step explanation:

cost of tip is represented by 25 multiplied by 0.2:

25*0.2=5

add onto original price:

25+5=30

good luck :)

Answer:

$30 dollars

Step-by-step explanation:

Given the following question:
Total price = $25.00
20% tip

In order to find the answer, we find 20% of the 25-dollar haircut. Then we add that number to the original price of the haircut.

[tex]\frac{25\times20}{100} =25\times20=500\div100=5[/tex]
[tex]25+5=30[/tex]
[tex]t=30.00[/tex]

Total cost of the haircut was "$30.00 dollars."

Hope this helps.

If you are given T(5, 0), R(0, 5), A(4, 7), and P(7, 4), and asked to show that TRAP is a trapezoid, you would need to find _________.
Group of answer choices

the slopes of TR, RA, AP and TP to show that both pairs of opposite sides are parallel.

the slopes of TA and RP to show that the diagonals are perpendicular.

the lengths of TA and RP using the distance formula to show that the diagonals are congruent.

the slopes of TR, RA, AP and TP to show that one pair of opposite sides is parallel.

Answers

Answer:

the lengths of TA and RP using the distance formula to show that the diagonals are congruent.the slopes of TR, RA, AP and TP to show that one pair of opposite sides is parallel.

Step-by-step explanation:

A trapezoid is a four-sided polygon or a quadrilateral. It has one set of opposite sides which are parallel and a set of non-parallel sides.

(Therefore, statement 1 is incorrect and statement 4 is correct)

If the non-parallel sides of the trapezoid are equal in length, then it is called an isosceles trapezoid.  An isosceles trapezoid has a line of symmetry and both the diagonals are equal in length.

(Therefore, statement 3 is correct).

Statement 2 is incorrect as the diagonals are NOT perpendicular

Answer:

C is the corect answer give brainliest boy or girl above his/her/they explanation was good

Solve the equation. (If all real numbers are solutions, enter REALS. If there is no solution, enter NO SOLUTION.)
7x + 1
_____=1/2
16

Answers

Answer: 1

Step-by-step explanation:

16 * 1/2 = 8

7x + 1 = 8

7x = 7

x = 1

Answer:

x = 1

Step-by-step explanation:

[tex]\frac { 7 x + 1 } { 16 } = \frac { 1 } { 2 }\\7x+1=\frac{16}{2} \\7x+1=8 \\7x=8-1 \\7x = 7\\x = \frac{7}{7} \\\bigstar \; \boxed{x = 1}[/tex]

Hope it helps ⚜

Sean is filling his truck with gasoline. He knows the total cost, C, will be proportional to the
number of gallons of gasoline, g, that he puts into the gas tank. After putting 8.5 gallons in
.
the tank, the cost is $23.63.
(a) Find the ratio of the cost to the gallons as
(b) What is the real world meaning of your
a unit rate. Show the division as a fraction answer in (a)?
and then state the answer with appropriate
units.
(c) If c is the cost and g is the number of
gallons bought, write a proportion
involving c and g and then solve it for c.
(d) If Sean puts 17 gallons of gasoline into
his truck, what is his cost? Justify.

Answers

Part (a)

Divide the total cost over the number of gallons to get the unit cost

(23.63)/(8.5) = 2.78

Answer:  2.78

=======================================================

Part (b)

The result of the previous part indicates the gas costs $2.78 per gallon.

=======================================================

Part (c)

c = cost in dollars

g = number of gallons bought

cost/gallons = cost/gallons

c/g = (23.78)/(8.5)

c/g = 2.78

c = 2.78g

This fits with what part (b) mentioned. The 2.78g means "2.78 times g".

Answer:  c = 2.78g

=======================================================

Part (d)

Plug g = 17 into the equation found in part (c)

c = 2.78g

c = 2.78*17

c = 47.26

Answer:  $47.26

You sell triangular flags made from felt. How much felt do you need to make 60 flags?

Answers

Answer:

61.

Step-by-step explanation:

because you make 60 flags then you will need 61.

61 felt do you need to make 60 flags.

What is addition?

Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.

here, we have,

You sell triangular flags made from felt.

so, 61 felt do you need to make 60 flags.

because you make 60 flags then you will need 61.

To earn more on addition click:

brainly.com/question/29560851

#SPJ2

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer: A

Step-by-step explanation:

Need the answer really struggling

Answers

Answer:

B and C are true.

Step-by-step explanation:

The triangle is reflected across x axis. So option 1 incorrect.It is translated 2 units to the right.B and C are correct.

Describe the error then simplify the expression correctly.

-5(3+6)=-15+30
=15

Answers

Answer: 30 should be negative

Step-by-step explanation:

when having an equation like that, you must multiply -5 by 3, which equals to -15, then multiply-5 by 6 which then equals to -30. The correct equation should be -5(3+6)= -15+-30= -45


I think this should be correct, hope this helps!

Answer:

a) The negative was not distributed to the 6

b) -45

Step-by-step explanation:

This simplification uses the distributive property. This is when a factor outside of parentheses is multiplied by the factors within the parentheses. When using this property, if the factor outside the parentheses is negative, then that negative must be distributed to both factors within the parentheses.

The correct way to simplify the expression is as follows:

-5(3+6)

Multiply -5*3 and -5*6

-15 + -30

Rewrite this using subtraction

-15-30

Subtract

-45

· Amani and Danielle are buying hair spray. They can buy 4 bottles of Rave and 5 bottles of Max for $30.00, or
they can by 1 bottle of Rave and 1 bottle of Max for $6.50. If r is the cost of a bottle of Rave and m is the cost
Fa bottle of Max, how much does each bottle of hair spray cost?

Answers

Answer:

3.25, I don't know,  I'm in like 1st grade

Step-by-step explanation:

Write a multiplication sentence that proves the division sentence -30/5 = -6 is correct.

Answers

Answer:

he believed governing is very hard and needs help

Answer:

5 * -6 = -30

Step-by-step explanation:

You just have to do the reverse of the already existing division problem.

PLEASE HELP ME! CLICK ON THE PICTURE FOR A BETTER VIEW IF U NEED TO!

Answers

Answer:

In order: -5, 3, 5

Step-by-step explanation:

-5g + 15h - 25

-5 ( g - 3h + 5 )

Hopefully this helps!

Brainliest please?

Put this into Slope Intercept Form
x + 6y = –6

Answers

Answer:

[tex]y=-\frac{x}{6} -1[/tex]

Step-by-step explanation:

Hi there!

We are given the following equation:
x+6y=-6

And we want to convert it into slope-intercept form

Slope-intercept form is known as y=mx+b, where m is the slope and b is the y intercept

The equation is currently in standard form, which is ax+by=c, where a, b, and c are integer coefficients

Notice how in standard form, both the terms that contain x and y are on one side, but in slope-intercept form, y is by itself on one side

So essentially, in order to convert from standard form to slope-intercept form, we need to solve for y

Here is our equation again:

x+6y=-6

Start by subtracting x from both sides

x+6y=-6

-x       -x

_______________

6y=-x-6

Now divide both sides by 6

[tex]y=-\frac{x}{6} -\frac{6}{6}[/tex]
We can simplify the fractions to become:

[tex]y=-\frac{x}{6} -1[/tex]
Hope this helps!

See more on converting from standard to slope-intercept form here: https://brainly.com/question/26579052

MULTIPLE CHOICE QUESTION
ers
What is 0.25 as a fraction?

Answers

Answer:

1/4

Explanation: 0.25 multiplied by 4 is 1. This shows that 0.25 is 1/4 of 1

Mrs. Ming invested an amount of money in two accounts for one year. She invested some at 8% interest and the rest at 6% interest. Her total amount invested was $1,500. At the end of the year, she had earned $106. 40 in interest. How much had Mrs. Ming invested in the account paying 6%? $117 $680 $760 $820.

Answers

Interest rate for one year is rate percent amount of original investment. The amount invested by Mrs. Ming in the account paying 6% was $680

How to calculate interest after 1 year if the rate of interest is R% annually?

Suppose that annually there is interest rate of R%. The amount initially invested is P, then for 1 year, it doesn't matter if its simple or compounding annually, the interest is same (it doesn't remain same if compounding isn't annually or if the time is > 1 year)

The interest for 1 year will be [tex]\dfrac{P}{100} \times R[/tex]

Let we have the initial amount spent in account paying 8% interest rate as $x

Let for 6% interest paying account, initial amount was $y

Then, by the given data, we have:

[tex]x + y = 1500[/tex]

and

[tex]\dfrac{x}{100} \times 8 + \dfrac{y}{100} \times 6= 106.40\\\\8x + 6y = 10640\\4x + 3y = 5320[/tex]

Thus, we got a system of linear equations as :

[tex]x + y = 1500\\4x + 3y = 5320[/tex]

From equation 1, getting value of x in terms of y, we get:

[tex]x = 1500 - y[/tex]

Substituting this value in second equation, we get:

[tex]4x + 3y = 5320\\4(1500-y) +3y = 5320\\6000 - y = 5320\\y =680[/tex]

Putting this value of y in the equation we got for x,

[tex]x = 1500 - y\\x = 1500 - 680= 820[/tex]

Thus, amount invested by Mrs Ming in account paying 8% interest rate as $x = $820

and  for 6% interest paying account, initial amount was $y = $680

Thus,

The amount invested by Mrs. Ming in the account paying 6% was $680

Learn more about system of linear equations here:

https://brainly.com/question/13722693

Find the product of 2x4(2x2 3x 4). 2x8 3x4 4x4 4x6 6x5 8x4 4x4 3x5 2x6 3x6 4x5 5x4.

Answers

Product of two polynomials can be done by distribution of multiplication over addition. The product of  [tex]2x^4(2x^2 + 3x + 4)[/tex] is  [tex]4x^6 + 6x^5 + 8x^4[/tex]

What is distributive property of multiplication over addition?

Suppose a, b and c are three numbers. Then we have:

[tex]a(b + c) = a\times b + a\times c[/tex]

(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)

The given expression is simplified as:

[tex]2x^4(2x^2 + 3x + 4) = 2x^4 \times 2x^2 + 2x^4 \times 3x + 2x^4 \times 4\\2x^4(2x^2 + 3x + 4) = 4x^6 + 6x^5 + 8x^4[/tex]

Thus,

The product of  [tex]2x^4(2x^2 + 3x + 4)[/tex] is  [tex]4x^6 + 6x^5 + 8x^4[/tex]

Learn more about product of polynomials here:

https://brainly.com/question/9106484

Answer:

4x^6 + 6x^4 + 8x^4

Step-by-step explanation:

its the only option with a 6 in the 2nd term.

I need help with this ​

Answers

24,501.42 cubic meters

Step-by-step explanation:

The equation for volume of a cylinder is:

A=πr²h

A= area

r= radius

h=height

let's plug in the numbers

A=π×17²×27

(the radius is half of the diameter; 34÷2=17)

Let's use 3.14 as pi

A=3.14×289×27

A= 24501.02 cubic meters

PLS I WILL GIVE YOU 23 POINTS IF YOU ANSWER ME CORRECTLY

The diagram shows 3/4 of a fraction strip shaded. Mary erases some of the shadings to show 5/8. Explain the steps she took to shade 5/8 of the fraction strip.

Answers

Answer:

She shaded off 1/8 of the fraction strip.

Enjoy ;)

Answer:

a  8 parts  b   8      3|4     3  × 4|4  ×  2= b  8

Step-by-step explain

Identify the shapes, using the names studied in this lesson

Answers

Answer: Rhombus

Step-by-step explanation:

It is a rhombus because all sides are equal and opposite sides are parallel.

Answer:

parallelogram

Step-by-step explanation:

Because the sides are parallel to each other.

Look at the screen shot

Answers

Answer:

M- MONICA

Step-by-step explanation:

A ____ is a measuring stick that represents the actual wall frame, with markings made at the proper height for every horizontal member of the wall frame.

Answers

Answer:

Story Pole

Step-by-step explanation:

Source : Trust me bro

1 9 5 ​ ÷(− 3 2 ​ )×(−2 7 1 ​ )

Answers

Answer:

1651.40625

Step-by-step explanation:

Multiplying or dividing an even number of negative terms equals a positive.

195÷32×271

Using the rule of BODMAS,

(D) Division first.

195÷32 = 6.09375

(M) Multiplication next.

6.09375×271 = 1651.40625

Alternate form ↓

52845

32

OR

1651¹³/32

A saleswoman earns 30% commission on all the merchandise that she sells. Last month she sold $700 worth of merchandise. How much commission (in dollars) did she earn last month?

Answers

Answer:

$210

Step-by-step explanation:

Merchandise sold = $700

Commission = 30%

30% of $700 = 0.3 x 700 = $210

Hence, the saleswoman earn $210 in commission.

[RevyBreeze]

What is the radius of the sector?

Answers

Answer:

5 units

Step-by-step explanation:

The area of a sector is [tex]A=\frac{r^2\theta}{2}[/tex] where [tex]r[/tex] is the radius and [tex]\theta[/tex] is the angle formed:

[tex]A=\frac{r^2\theta}{2}\\\\\frac{75\pi}{16} =\frac{r^2(\frac{3\pi}{8})}{2}\\\\150\pi=16r^2(\frac{3\pi}{8})\\\\150\pi=6\pi r^2\\\\25=r^2\\\\5=r[/tex]

Therefore, the radius of the sector is 5 units

A city averages 14 hours of daylight in June (the longest days) and 10 in December (the shortest days). Assume that the number of hours of daylight varies sinusoidal over a period of twelve months. Sketch the graph then use this data to find the following:

Answers

We have that the graph will have a solution that is mathematically given as

y=12sin(6t-\pi)+2

Daylight time June trough to December

Question Parameters:

A city averages 14 hours of daylight in June (the longest days) and 10 in December (the shortest days).

Generally the equation for the Amplitude and vertical shift is mathematically given as

[tex]A=\frac{Max+min}{2}\\\\A=\frac{10+14}{2}[/tex]

A=2

vertical shift =[tex]\frac{Max-min}{2}[/tex]

vertical shift =[tex]\frac{14-10}{2}[/tex]

vertical shift =1

Therefore, the time is given as

[tex]t=\frac{2\pi}{b}[/tex]

Where

[tex]b=\pi/6\\\\t=\frac{2\pi}{\pi/6}[/tex]

Hence,The graph will have a solution

y=12sin(6t-\pi)+2

For more information on Graph

https://brainly.com/question/14375099

Can you guys help me, I'll really appreciate it, I need this to 14 February ill give you 30 points

Answers

Answer:

1. f(x) Domain [-3,∞) Range [0,∞)

2. g(x) Domain (-∞,∞) Range [√3, ∞)

3. h(x) Domain [3,∞) Range [0,∞)

4. i(x) Domain (-∞,-√3]∪[√3,∞) Range [0,∞)

5. j(x) Domain (-∞,∞) Range [0,∞)

6. k(x) Domain (-∞,∞) Range [0,∞)

7. f(x) Domain (-∞,∞) Range [3,∞)

Exercise 2 : no there is not an inverse. in about to have an inverse you have to have x and y. yes. if you restrict the domain of the finction so that its 1 to 1 which creates a new function youll have an inverse.

give me the answer pease help

Answers

Answer:

D. [tex]9(y+3) and 27+9y[/tex]

Step-by-step explanation:

The first expression for each set is using the distributing propety. We can start with the first one. We notice right away that 3 sets of 3y is 9y, when the other expression is 6. So, that is incorrect. Next we see the second one does have a correct y-value, but the integer value of 6 is not the same, since 3*3=9, not 6. For C we can tell that 9*3=27, which is not equal to 12. Therefore, D must be the answer.

M
The person is 6 feet tall and casts a shadow of 3.2 feet. The building casts a
shadow of 18.5. How tall is the building? Round to the nearest
hundredth.

Answers

Answer:

34.69 feet

Step-by-step explanation:

First, you would set up a proportion using the person's measurements and the measurements you do have from the building. You would put your actual value on top of one of the proportions, 6, then put its shadow value, 3.2, on the bottom. Then, you would add 18.5 to the bottom of your other fraction.

Next, you would cross multiply and divide. If you don't know what that means, you will multiply 18.5 by 6, and get 111. Then, divide this number by 3.2. This should make you get 34.6875, so then you round to the nearest hundredths place to get 34.69.

find the measure of the indicated angle

Answers

Answer:

B=53

C=127

D=127

Step-by-step explanation:

Please help if you answer correctly I will give brainliest thank you!!!!!!!!

Answers

Answer:

The Answer is C

Step-by-step explanation:

3x-4y=5

2x+4y=-3

This equation is the answer to this problem because just by looking at it, you can immediately cancel out the y value and solve for x.

The other equations are wrong because their is extra work needed to eliminate the values.

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