The altitude of the hypotenuse of a right triangle divides the hypotenuse into two segments. If the ratio of lengths of the segments is 1:9 and the length of the altitude is 6 meters, find the lengths of the two segments?

Answers

Answer 1

Answer:

2 m18 m

Step-by-step explanation:

You want the lengths of the segments of the hypotenuse of a right triangle when an altitude of 6 m divides the hypotenuse into parts with the ratio 1:9.

Geometric mean

The altitude to the hypotenuse of a right triangle is the geometric mean of the parts it divides the hypotenuse into. If the shorter part is x, then the longer part is 9x, and their geometric mean is ...

  6 = √(x(9x)) = 3√x² = 3x

  x = 2 . . . . . . . divide by 3

The length of the shorter segment is 2 m; the longer one, 18 m.

The Altitude Of The Hypotenuse Of A Right Triangle Divides The Hypotenuse Into Two Segments. If The Ratio

Related Questions


Before the trip, Tyler read 24 pages of his Philadelphia guidebook in an hour. The guidebook is 84 pages long. If he continued to read it at the same
rate, how long did it take Tyler to finish reading the guidebook before his family's trip?

Equation:
Solution X:

Answers

Answer:

3.5 hours to read

Step-by-step explanation:

Before the trip, Tyler read 24 pages of his Philadelphia guidebook in an hour. The guidebook is 84 pages long. If he continued to read it at the same rate, how long did it take Tyler to finish reading the guidebook before his family's trip?

total pages / reading rate per hour

Equation: 84/24

Solution:  = 3.5 hours

An employee at an aquarium monitors how much their sea otters eat. The amount of food a particular otter eats
daily is approximately normally distributed with a mean of 17 pounds and a standard deviation of 1 pound. They
suspected this otter was not eating enough, so they took a random sample n = 10 days and observed a sample
mean of T = 16.5 pounds of food per day.
To see how likely a sample like this was to occur by random chance alone, the employee performed a simulation.
They simulated 40 samples of n = 10 values from a normal population with a mean of 17 pounds and a
standard deviation of 1 pound. They recorded the mean of the values in each sample. Here are the sample
means from their 40 samples:

Answers

Answer:

0.125

Step-by-step explanation:

5/40 simulated results were at or below mean 16.5

The approximate p-value of the test that's given in this scenario will be p-value = 0.125.

What is p-value?

P-value simply means the probability that a test statistic can be seen to be extreme or more.

From the complete question, the approximate p-value of the test is 0.125. The p-value measures the probability that a difference could have taken place by random chance.

In conclusion, the observed difference in this case can be attributed to chance by 12.5%.

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Which expression could be used to determine the product of –4 and 3 and one-fourth?
(negative 4) (3) times (negative 4) (one-fourth)
(negative 4) (3) + (negative 4) (one-fourth)
(3) (negative 4) times (3) (one-fourth)

Answers

The expression which could be used to determine the product of -4 and 3 and one-fourth as required is; negative 4) (3) + (negative 4) (one-fourth).

Which expression can be used to determine the product of the given word phrase?

As evident in the task content; the expression which could be used to determine the product of; -4 and 3 and one-fourth is required to be determined.

Since the given expression is; -4 and 3 and one-fourth; we have that;

-4 × 3 ¼

However, since 3 ¼ can be written as; ( 3 + ¼ ), it follows that we have;

-4 × ( 3 + ¼ )

Ultimately, the resulting expression using the distributive property is;

( -4 ) ( 3 ) + ( -4 ) ( ¼ )

Therefore, the correct answer is; (negative 4) (3) + (negative 4) (one-fourth).

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If Braulio bought 34 spinners for $5.44, how much would he pay for 20 spinners? Estimate the unit rate, and then solve the problem. Write a paragraph to explain the process and justify your response.​

Answers

Answer:

The estimated total cost for 20 spinners is $3.2.

Step-by-step explanation:

To find out how much Braulio would pay for 20 spinners, we can first calculate the unit rate (price per spinner), and then use that to estimate the total cost of 20 spinners.

The unit rate is the price of a single item (spinner in this case) divided by the number of items. In this case, the unit rate is:

$5.44 / 34 spinners = $0.16 (approximately)

We can now use this unit rate to estimate the total cost of 20 spinners by multiplying it by the number of spinners:

20 spinners * $0.16/spinner = $3.2

So the estimated total cost for 20 spinners is $3.2.

In this process, we first found out the unit rate i.e how much one spinner costs, which is $0.16. We then multiplied the unit rate with the number of spinners we wanted to buy. By doing this, we were able to estimate the total cost of buying 20 spinners. It's important to note that this is an estimate, as the actual cost may be slightly different due to rounding or other factors. However, the unit rate method provides a useful way to quickly estimate the cost of a purchase when the unit price and quantity are known.

Slope intercept form

Answers

Answer:

The formula for finding Slope Intercept Form is y = mx + b.

Step-by-step explanation:

Y - Y coordinate

M - Slope

X - X coordinate

B - Y Intercept

This formula is used for finding the equation of a line.


Please help me.

11 Find the lateral area and surface area of a regular square pyramid with base edge length 6 m and slant height 8 m.

Answers

Answer:

area of square =length × length ×height

=6×6×8

=288

no links please
The elevator in the newest skyscraper downtown goes from the top floor down to the lowest level of the underground parking garage. If the building is 380 feet tall and the elevator descends 420 feet from top to bottom, how far underground does the parking garage go?

A.
40 feet

B.
790 feet

C.
30 feet

D.
800 feet

Answers

Answer: A 40 feet

Explanation:
If a building is 380 feet tall and the elevator has to descend 420 feet to get to the underground parking garage. So 420 - 380 to remove the height of the building from the equation. This would give us 40 feet underground left until the elevator reaches its desired destination.

-2(t+7)=-4t+12 what is the value of t

Answers

9514 1404 393

Answer:

  13

Step-by-step explanation:

  -2(t +7) = -4t +12

  t +7 = 2t -6 . . . . . . . divide by -2

  13 = t . . . . . . . . . . . . add 6-t

For the question below, think carefully about what you divide 80 by to calculate the value of one part.

In a housing estate the direct proportion of flats to houses is 2:5. If there are 80 flats, how many houses are there?

Answers

Answer:

200

Step-by-step explanation:

[tex]\frac{2}{5}[/tex] = [tex]\frac{80}{x}[/tex]

2 x 40 = 80, so

5 x 40 = 200

Answer:

200 houses

Step-by-step explanation:

Flat: 2 parts = 80 flats
1 part => 80 : 2 = 40 flats
Houses: 5 parts = 40 x 5 = 200 houses

What is the rate of change of the function y= 3/4x - 2

Answers

Answer:

rate of change = [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{3}{4}[/tex] x - 2 ← is in slope- intercept form

with slope m = [tex]\frac{3}{4}[/tex]

the slope is a measure of the rate of change , then

rate of change = [tex]\frac{3}{4}[/tex]

simplify (2^3)^-2
A -1/64
B 1/64
C 2
D 64

Answers

The answer is B hope this helps you.
Hopes this helps:

Answer: B. 1/64

If you are wondering what app I use to get the answer it is called Cymath. Have a good night.

Two numbers total 43 and have a difference of 11 Find the two numbers.

Answers

Answer:

27 and 16

27 + 16 = 43

And the difference between them ( 27-16) = 11

Step-by-step explanation:

what is the value of q³?!​

Answers

Answer:

  -6

Step-by-step explanation:

You seem to want the value of q₃ in the matrix Q⁻¹.

Matrix inverse

The inverse matrix, Q⁻¹, is the transpose of the cofactor matrix, divided by the determinant. That makes q₃ = -q₂₁/det(Q):

  q₃ = -(-2/3)/((-1(-1/9) -(-2/3)(-1/3))

  q₃ = (2/3)/(1/9 -2/9) = (6/9)/(-1/9)

  q₃ = -6

__

Additional comment

The transpose of the cofactor matrix of a 2×2 matrix is the original with the diagonal terms swapped, and the off-diagonal terms negated. Basically, the only math involved in computing the inverse is finding the determinant, and dividing by it.

There are 16 ounces in 1 pound, Juan is mailing a package that weighs 96 ounces. He wants
to know the weight of the package in pounds.

Answers

Answer:

96oz = 6 pounds

Step-by-step explanation:

96 divided by 16 = 6 pounds

Assuming there are 16 ounces in 1 pound,  if he want to know the weight of the package. The weight of the package in pounds is 6 pounds.

Weight of the package in pounds

Using this formula

Weight in pounds=Weight /Ounces in 1 pound

Where:

Weight=96 ounces

Ounces in 1 pound=16 ounces

Let plug in the formula

Weight in pounds=96 ounces/16 ounces

Weight in pounds=6 pounds


Inconclusion the weight of the package in pounds is 6 pounds.

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Solve the system with elimination. 2x+2y=4 x+3y=6

Answers

Answer:

Point Form:

(0,2)

Equation Form:

x=0,y=2

Step-by-step explanation:

In 2000 a company increased its workforce by 60%. In 2001 it decreased its workforce by 60%. How does the size of its workforce at the end of 2001 compare with the size of the workforce at the beginning of 2000?

A) It is 36% lower.
B) It is 6% lower.
C) It is unchanged.
D) It is 36% higher.

I know that the answer is A, but I'm having trouble figuring out the steps. Can anyone help me?​

Answers

Therefore, the solution of given problem of percentage  indicates that from the beginning of 2000 and the end of 2001, there was no net change in the workforce.

A percentage is defined.

A% is a number that expresses a quantity as a percentage of 100; it can also be expressed as a decimal or a fraction. Placing 100 in the denominator and the percentage value in the numerator will allow you to convert a percentage to a fraction.

Here,

Before any changes,

let w represent the size of the workforce. There are:

50 percent growth is equivalent to increasing by 1.5, therefore w(2000) = w(1999) * 1.5

A 50% drop is equal to dividing by 1.5, therefore w(2001) = w(2000)/1.5

Reverse the first equation to create the second equation.

w(2001) = w(1999) * 1.5/1.5

Remove the 1.5 from the top and bottom so that w(2001) = w (1999)

Therefore, this indicates that from the beginning of 2000 and the end of 2001, there was no net change in the workforce.

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Three vertices of a rectangle are located on the coordinate plane shown below. Coordinate plane with points labeled Part A Which is the ordered pair for Point B? A. (2, 8) B. (6, 8) C. (6, 6) D. (8, 6) Part B Which point is at (8, 2)? A. A B. B C. C D. None of these Part C What are the coordinates of point A? Enter your answer in the boxes. ( , ) Part D What are the coordinates of the fourth vertex of the rectangle? Enter your answer in the boxes. ( , )
HELP!!

Answers

Answer:

Part A

Which is the ordered pair for Point B?

A. (2, 8)

 B. (6, 8)

 C. (6, 6)

 D. (8, 6)

Part B

Which point is at (8, 2)?

A. A

 B. B

 C. C

 D. None of these

Part C

What are the coordinates of point A?

Enter your answer in the boxes.

(

2

,

8

)

Part D

What are the coordinates of the fourth vertex of the rectangle?

Enter your answer in the boxes.

(

0

,

0

)Step-by-step explanation:

Find the volume of the given prism. Round to the nearest tenth if necessary.

Find the surface area of the cylinder to the nearest whole number,

Answers

Answer:

18. 2,047.5 yd³

19. 3204 in.²

Step-by-step explanation:

18. Volume of triangular prism = triangular base area × height of prism

Height of prism = 21 yd

Triangular base area = ½*b*h

b = 15 yd

h = √(15² - 7.5²) = √168.75 ≈ 13 yd

Triangular base area = ½*15*13 = 97.5 yd²

Plug in the values into the formula of the volume of prism

Volume of prism = 97.5 × 21

= 2,047.5 yd³

19. Surface area = 2πrh + 2πr²

Where,

r = 15 in.

h = 19 in.

Plug in the values

Surface area = 2*π*15*19 + 2*π*15²

Surface area = 3204.42 ≈ 3204 in.² (nearest whole number)

how do i do this
find the difference of 24-3k and 5k-11.

Answers

Here's link[tex]^{}[/tex] to the answer:

bit.[tex]^{}[/tex]ly/3gVQKw3

What are the main things I need to know when doing variables on both sides of the equation?

Answers

Answer:

Make sure to keep track of the signs of the variables. If you add or subtract a variable on one side of the equation, you must do the same to the other side.

Don't forget to distribute if you have a variable inside parentheses. For example, if you have 3x + 2(x + 4) = 7, you would need to distribute the 2 to get 3x + 2x + 8 = 7.

When solving for a variable, make sure to perform the same operation on both sides of the equation to isolate the variable. For example, if you want to solve for x in the equation 3x + 2 = 7, you would need to subtract 2 from both sides to get 3x = 5.

Some1 hurry up and help me plzzz!!!

Answers

the answer is D hope this helps

Statement D is false, -1 ≠ -(-1) because -1 ≠ 1

Math Kangaroo Brazil 2020 Grade 7-8 Question. Please Solve both question 25 and 26

Answers

According to the information, Jonas realized that the four-digit sequence showing the distance traveled was the same sequence showing the time at 22h10min (question 25). Also, Lady Josephine removed 1/2 of impurities of the package of beans (question 26).

How to calculate at what time Jonas realized the sequences of distance, and time were the same (Question 25)?

To calculate at what time Jonas realized the sequences of distance and time were the same we have to perform the following mathematics operation:

21h00min - 22h10min = 1h10min = 70 min1 min = 0.016h70 min = 1.16h1.16h + 21h = 22.1h = 22h10min

How to calculate what fraction of the total amount of impurities was removed from the package (question 26)?

To calculate what fraction of the total amount of impurities was removed from package we have to perform the following mathematical operation:

Total impurities in package: 8%Impurities removed from the package: 4%

8 / 2 = 4

According to the above, we can infer that 4% of impurities equals 50% or 1/2 of the total impurities in the package.

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Find the volume of the pyramid

Answers

Hopes this helps:

Answer: 800

Please mark as brainlist if it’s right.

HELP ME !! AND EXPLAIN HOW YOU GOT IT.


PLEASE ANSWER !! ILL GIVE BRAINLIEST !!

50 POINTS !!

FAKE ANSWERS WILL GET REPORTED .

Answers

Answer:

D = 75°E = 37°F = 68 ° Given

Step-by-step explanation:

[tex](13x - 3) + (6x + 1) + (68) = 180 \\ 19x + 66 = 180 \\ 19x = 180 - 66 \\ x = \frac{114}{19} \\ x = 6 \\ \\ \\ d = 13x - 3 \\ d = 13(6) - 3 \\ d = 75 \\ \\ e = 6x + 1 \\ e = 6(6) + 1 \\ e = 37 \\ \\ f = 68 \\ \\ check \: \: \: 75 + 37 + 68 = 180[/tex]

I hope that is useful for you :)

Is this relation a function? Justify your answer.
11
10
9
8
7
654321
1 2 3 4 5 6 7 8 9 10 11
OA. Yes, because every x-value corresponds with a single y-value.
OB. Yes, because the number of x-values is the same as the number of
y-values.
OC. No, because two points with the same y-value have different x-
values.
OD. Yes, because every x- and y-value is positive.

Answers

Due to the fact that element 1 relates to two distinct images, namely 3 and 5. The relationship hence is not a function.

What is meant by function?A function is a relationship between a collection of inputs and one output per input. A function is, to put it simply, an association between inputs where each input is linked to exactly one output.For each function, a domain, codomain, or range exists. A function is often represented by the expression f(x), where x represents the input.A "chunk" of code that may be utilized repeatedly rather than having to be typed down repeatedly is called a function.Programmers can break a huge problem down into smaller components, each of which can perform a specific purpose, by using functions.

Therefore,

(i) {(2,1),(5,1),(8,1),(11,1),(14,1),(17,1)

Every input has a single output, proving that it is a function.

The elements in the domain of the provided relation are therefore 2,5,8,11,14, and 17.

Here, domain is equal to two and range is one.

(ii) (2,1),(4,2),(6,3),(8,4),(10,5)(12,6),(14,7)

Every input has a single output, proving that it is a function.

Therefore, 2, 4, 6, 8, 10, 12, and 14 make up the domain of the provided relation.

Here, range is 1,2,3,4,5,6,7 and domain is 2,4,6,8,10,12,14.

(iii) (1,3),(1,5),(2,5)

Due to the fact that element 1 relates to two distinct images, namely 3 and 5. The relationship hence is not a function.

The complete question is:

Which of the following relations are functions? Give reasons.

If it is a function determine its domain and range

(i) (2,1),(5,1),(8,1),(11,1),(14,1),(17,1)

(ii) {(2,1),(4,2),(6,3),(8,4),(10,5),(12,6),(14,7)

(iii) {(1,3),(1,5),(2,5)

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Equations of Exponential Functions

Given the following equation of an exponential function
R = 10.5(0.535)t
determine the base, b, of the exponential model. Is the base a growth or decay factor?

a. b is 0.535; It is a growth factor.
b. b is 0.535; It is a decay factor.
c. b is 10.5; It is a growth factor.
d. b is 10.5; It is a decay factor.

Please select the best answer from choices provided

Answers

Answer:

B. B is 0.535; It is a decay factor.

Step-by-step explanation:

I calculated it logically

Answer:

B. b is 0.535; It is a decay factor.

‼️PLEASE HELP ASAP!!!!‼️
Select the table that represents a linear function. (Graph them if necessary.)

Answers

Answer = A
Check image below
For explanation

you want to make five-letter codes that use the letters A, F, E, R, and M without repeating any letter. What is the probability that a randomly chosen code starts with M and ends with E?
A. 0.01
B. 0.02
C. 0.05
D. 0.10

Answers

Answer:

its C. 0.05 #edmentumgang

Step-by-step explanation:

Answer:

Option C is the correct anwer for plato

Step-by-step explanation:

C.  0.05

Which graph represents the solutions to this equation?
X²+8x=-20

Answers

Answer:

The one with the vertex of (-4,4)

Step-by-step explanation:

Determine the perimeter of the right triangle shown.

24 units
10 units
8 units
6 units

Answers

Answer:

A)  24 units

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

Find the legs first:

5 - (-3) = 8 units,4 - (-2) = 6 units.

Find the hypotenuse using Pythagorean:

[tex]\sqrt{8^2+6^2} =\sqrt{64+36} =\sqrt{100} =10\ units[/tex]

Find the perimeter:

P = 8 + 6 + 10 = 24 units

Correct choice is A.

Answer:

A)  24 units

Step-by-step explanation:

The perimeter of a triangle is the sum of its side lengths.

From inspection of the given right triangle:

Base = 8 unitsHeight = 6 units

As the given triangle is a right triangle, we can use Pythagoras Theorem to calculate the length of the hypotenuse:

[tex]\implies c^2=a^2+b^2[/tex]

[tex]\implies c^2=8^2+6^2[/tex]

[tex]\implies c^2=64+36[/tex]

[tex]\implies c^2=100[/tex]

[tex]\implies c=\sqrt{100}[/tex]

[tex]\implies c=10[/tex]

Therefore, the perimeter of the given triangle is:

[tex]\implies 8+6+10=24 \; \rm units[/tex]

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how does describe the international space station's development over time? Please answer the question in the picture and show your work! I got tan= square root of 2 but Im not sure if thats right and if theres more answers since it wants all values of tan. This is due tomorrow please help! B MC Qu. 20-87 Masterson Companys budgeted production... Masterson Company's budgeted production calls for 69,000 units in April and 65,000 units in May of a key raw material that costs $1.75 per unit. Each month's ending raw materials inventory should equal 30% of the following month's budgeted materials. The April 1 inventory for this material is 20,700 unit. What is the budgeted materials needed in units for April Is substitution a missense or nonsense? If s is directly proportional to t, and s = 30 when t = 15, find t when s = 64. Carl wants to find the product 3056.Which of the following best explains how he can find the product mentally? A. He knows that 305 is 6. He then multiplies 6 by 6 to get 36. B. He knows that 3066is 30. He then subtracts 1 from 30 to get 29. C. He knows that 36=18. He then adds 18 and 5 to get 23. D. He knows that 3016is 5. He then multiplies 5 by 5 to get 25. which of the following categories of black folk music is not considered one of the sources for the blues 150 people went to see "Ode to Algebra" performed in the school auditorium. If the number of children that attended the performance was c, how many adults attended? Ill give brainliest Tibet was once a ____ kingdom and still resists Chinese efforts to destroy their culture Mrs. Avery is going to randomly select one student from her class to read a poem out loud. There are 15 boys and 13 girls in her class.What is p (boy)?If necessary, round your answer to 2 decimal places. Helppp ne.ed this ASAP--------------------------------------------------------------------------------PLss HELP- WIll give Brainliest + 100 pointsDirections: After learning about the three stages of stress (1. alarm, 2. resistance, and 3. exhaustion), write about an experience when you had a stressful situation and your body went through all three stages of stress. (If you don't want to write about yourself, you can make up a scenario or use a scenario of a friend or family member.) 2 paragraphs. When the state of Israel was established in 1948, neighboring Arab states reacted by doing which of the following?A.inviting Arab Palestinians to leave Israel and become citizens of their countriesB.ignoring Israel because they were struggling with internal problemsC.recognizing Israel because they feared a surge of refugeesDattacking Israel the following day 8) Complete the following dialogue with the appropriate sentences in the boxgiven below.(5)Timr: Henry, What are you doing?Henry : I have been trying to solve this physics problem for the last halfhours and .....Tim : Well, it is only Monday..Henry : I have to sign up for it first, I guess I will go and signup for theWednesday session tomorrow.Tim : You should re-read the chapter before you show up of the session...Henry:..i11It is due at the end of this weekWhy don't you get some after-school-tutoring tomorrow?I still have no idea, how to do it.Ok, I will so thatIt will help you understand the subject matter better. Can you let me know the answer please Emily: Dnde pones las almohadas?Luisa: Las pongo en _________. A. el armario B. el escritorio C. la cama D. la repisa How did ants and butterflies get advantage of each other? This is the right way or the wrong answer match the equation with its corresponding solution for x. 6= -1/3x+5 Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.