use the geometric mean (leg) theorem. what is the value of a?

Use The Geometric Mean (leg) Theorem. What Is The Value Of A?

Answers

Answer 1

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of Geometric Mean (leg) theorem.

So according to the rule, we know that, here altitude = h and left side is 6 and right side is 14 , so we get as,

==> altitude/left = right/altitude

==> h/6 = 14/h

==> h^2 = 14*6

==> h^2 = 84

2.) so now we apply the Pythagoras theorem in triangle ∆DCB

so we get as,

==> (14)^2 + h^2 = a^2

==> 196 + 84 = a^2

==> 280 = a^2

==> a = √280

==> after simplified => a = √70*4

==> a = 2√70 units

hence the correct answer is a => 2√70 units.


Related Questions

I need help with this ASAP!!

Answers

9514 1404 393

Answer:

  (b)  g, h, f

Step-by-step explanation:

The larger the magnitude of the vertical scale factor, the quicker the graph takes on higher values. That makes its appearance narrower.

Here, you want to list the functions in decreasing order of vertical scale factor:

  g(x) . . . scale factor 4

  h(x) . . . scale factor 2

  f(x) . . . scale factor 1/3

please help im reallyyyy desperate
NO LINKS OR FILES

Answers

Answer:

(2, -3), (3, -3)

Step-by-step explanation:

y = x^2 - 5x + 3

y = -3

x^2 - 5x + 3 = -3

x^2 - 5x + 6 = 0

(x - 3)(x - 2) = 0

x - 3 = 0 or x - 2 = 0

x = 3 or x = 2

We are given y = -3.

Answer: (2, -3), (3, -3)

Answer:

(2, -3) , (3, -3)

Step-by-step explanation:

One is asked to find what values of the parameter (x) will yield the result (f(x)=-3) if the function (f(x)) is the following,

[tex]f(x)=x^2-5x+3[/tex]

Set this equation up, and solve to find the value of (x) that satisfies this requirement:

[tex]f(x)=x^2-5x+3=-3[/tex]

Inverse operations,

[tex]x^2-5x+6=0[/tex]

Factor, rewrite the quadratic equation as the product of two linear equations,

[tex](x-2)(x-3)=0[/tex]

Therefore the solutions are the following, the (x-coordinate) represents the input, and the (y-coordinate) represents the output.

(2, -3), (3, -3)

Tiys earns $7 an hour owing her neighbors lawn.

Part A: create two variables and determine which is dependent and which is independent for this situation.

Part B list three order pairs to show the values of the two variables.

Part C write and equation to represent the relationship between the two variables.

Answers

Answer:

Part A) The independent variable is the hours that Tiya mows her neighbor's lawn, and we can denote that with x. It's the variable that isn't affected by other factors. The dependent variable is the amount of money Tiya earns, which we can denote with y. The dependent variable is the variable that is affected by other factors. The amount of money Tiya makes depends on how many hours she works.

Part B) As stated in part A, x is the hours and y is the money earned. The ordered pairs are in (x, y) form, with x being the hours and y being the money earned. For example, if Tiya worked one hour, x would be 1. As she earns 7 dollars per hour, she would earn 7 dollars (1*7), which is y. Therefore, one ordered pair could be (1, 7). Two hours would give Tiya 14 dollars, so we have another pair of (2, 14). Three hours would give Tiya 21 dollars, so we have (3, 21). We can do that for any numbers.

Part C) With every hour, Tiya earns 7 dollars. In order to find y, which is the amount of money totally earned, we multiply x by 7 (7 dollars per hour). Therefore, y = 7x.

pls help. this is also math if you can help tysm

Answers

Answer:

a,d,e,f

Step-by-step explanation:

Trust me

The diameter of a circle is 12 cm. Find the circumference to the nearest tenth

Answers

Answer:

Step-by-step explanation:

38 or 37.7 when not rounded

hope this helps

How many milliliters are equal to 7 liters?

Answers

Answer:

7000

Step-by-step explanation:

Find the sum of
1. (2x2 − x) + (x2 + 3x − 1)
2. 5x2+2x−1+(4x2−x+2)
3. (3x2+2x+1)+(x2−1)
4. −x2−1 +(4x2−x)

Answers

Answer:

Step-by-step explanation:

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

2x^2-x+x^2+3x-1

x^2+3x-1

5x^2+2x-1+(4x^2-x+2)

5x^2+2x-1+4x^2+x-2

9x^2+6x-3

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

3x^2+2x+1+x^2-1

4x^2+2x

-x^2-1+(4x^2-x)

-x^2-1+4x^2-x

3x^2-1-x

Write an equivalent fraction if needed. Add. Write each sum in simplest
form. 2 1/10 + 5 7/10 =

Answers

Answer:

7 4/5

Step-by-step explanation:

2 1/10 + 5 7/10 = 2 + 5 + 1/10 + 7/10 = 7 8/10 = 7 4/5

Use the given values of n and p to find the minimum usual value μ − 2σ and the
maximum usual value μ + 2σ. Round your answer to the nearest hundredth unless
otherwise noted.
n = 261, p =1/5
Minimum: 65.12; maximum: 39.28
Minimum: 39.28; maximum: 65.12
Minimum: 45.74; maximum: 58.66
Minimum: 43.06; maximum: 61.34

Answers

After answering the question provided, we can predict that the result will be as by equation As a result, the correct response is: Minimum: 41.64; Maximum: 62.76.

What is equation?

A mathematical equation is a process that links two statements and indicates equality using the equals sign (=). A mathematical statement that proves the equality of two mathematical expressions is known as an equation in algebra. For instance, the equal sign separates the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula may be used to understand the link between the two sentences that are written on opposite sides of a letter. Frequently, the logo and the particular software are identical. like in 2x - 4 = 2, for example.

A binomial distribution with the specified values of n and p has a mean of = np and a standard deviation of = sqrt(np(1-p)).

Inputting n = 261 and p = 1/5 results in:

μ = np = 261 × 1/5 = 52.2

5.28 is equal to sqrt(np(1-p)) = sqrt(261 1/5 4/5)

Calculating the minimal typical value of 2 is as follows:

μ − 2σ = 52.2 − 2 × 5.28 ≈ 41.64

The calculation for the maximum typical value + 2 is as follows:

μ + 2σ = 52.2 + 2 × 5.28 ≈ 62.76

These values are rounded to the nearest hundredth, giving us:

The range is 41.64 to 62.76.

As a result, the correct response is: Minimum: 41.64; Maximum: 62.76.

To know more about equation visit:

https://brainly.com/question/649785

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Answer:

Minimum: 39.28; maximum: 65.12

Use the number line to identify the correct least value, first quartile, median, third quartile, and greatest value of the data.

4, 12, 9, 10, 8, 6, 5, 15, 5, 8

Answers

The least value, first quartile, median, third quartile, and greatest value of the data are 4, 5, 8, 9.75 and 15 respectively.

What is the least value, first quartile, median, third quartile, and greatest value of the data?

The first step is to arrange the number in ascending order: 4, 5, 5, 6, 8, 8, 9, 10, 12, 15

Least value = 4 Greatest value = 15

The median is the number in the center of the data set. The number is 8.

First quartile = 1/4 x (n + 1) = 2.75 number : 5

Third quartile = 3/4 x (n + 1) = 8.75 = 9.75

To learn more about median, please check: https://brainly.com/question/20434777

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11x + 2 = 2x -7
Please explain how you did the work and how you got your answer

Answers

Hi I just typed the question on desmos if you would like me to explaining out word by word I can also I got -1

What is the volume of the right rectangular prism?
O A. 20 cubic centimeters
O B. 60 cubic centimeters
O C. 128 cubic centimeters
O D. 168 cubic centimeters
O E. 240 cubic centimeters

Answers

Answer:

please the answer is 240 cubic centimeters

Check if x=-1 is a solution to x3 + 3x^2 = x+3. Which statement do you get?
A. 1=1
B. 0=0
C. 4= 4
D. 2 = 2

Answers

Answer:

D. 2 = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

x³ + 3x² = x + 3

x = -1

Step 2: Check

Substitute in x:                                                                                                  (-1)³ + 3(-1)² = -1 + 3Evaluate exponents:                                                                                         -1 + 3(1) = -1 + 3Multiply:                                                                                                             -1 + 3 = -1 + 3Add:                                                                                                                   2 = 2

kite propeties in geometry

Answers

Answer:

The two angles are equal where the unequal sides meet.

It can be viewed as a pair of congruent triangles with a common base.

It has 2 diagonals that intersect each other at right angles.

The longer or main diagonal bisects the other diagonal.

A kite is symmetrical about its main diagonal

Question: Find Angle S

SOMEONE PLEASE HELP WILL GIVE BRAINLEST!

Answers

Answer: 45

Step-by-step explanation:

S is 45 (labelled on the diagram)

Just need a lil help kind of stucc .

Answers

Answer:

Scale Factor

Step-by-step explanation:

Sorry if im wrong. I just kinda tried :p

Which is a number that can be written as a fraction in the form a/b?​

Answers

Answer:

Step-by-step explanation:

Rational numbers are the type of numbers that can be written in fraction forms (1/b where a and b are integers and b ≠ 0). Rational numbers also include decimals that are repetitive (0.313131313131) and decimals that end (0.25).

The opposite are irrational numbers that cannot be written in fraction forms and that include decimals that do not end or repeat (0.249654296432926....).

It is good to know a fraction with denomination equal to zero will give an undefined value.

will name brainliest

Answers

Answer:

a=12

Step-by-step explanation:

We must use SOH, CAH, TOA

SOH= Sin0=opp/hyp

CAH=Cos0=adj/hyp

TOA= Tan0=opp/adj

Since we have opposite and hypotenuse we use Sin ratio, in this case,

sin30°= [tex]\frac{a}{24}[/tex]

[tex]\frac{1}{2}[/tex]=[tex]\frac{a}{24}[/tex] we cross multiply

[tex]\frac{2a}{2}[/tex]=[tex]\frac{24}{2}[/tex]divide both sides by 2 to get a by itself

a=12

Answer:

a = 12

Step-by-step explanation:

To find a, we will use the trigonometric ratio of Sin, since the opposite side of the angle given needs to be found out and the hypotenuse is given;

Sin(30) = [tex]\frac{a}{24}[/tex]

Sin(30) * 24 = a

12 = a

Hope this helps!

write the equation , in slope- intercept form, for the line shown in the graph below

Answers

Answer:

y= -1x+ 3

Step-by-step explanation:

y= Mx+ C

m= gradient or slope

m= y2-y1/ x2-x1

=5-(-2)/-2-5

=7/-7

=-1

C= intercept on the y-axis

=3

therefore y= -1x + 3

There are 36 pencils in a pack that costs $12.82. How much does each pencil cost?

Answers

Answer: each pencil would cost 0.36¢

Step-by-step explanation: first, divide 12.82 by 36 to get the unit rate. The answer should be 0.356111111. Now round that to the nearest cent. 0.356111111~0.36

Answer:

Each pencil is worth 36 cents

Step-by-step explanation:

To do the problem we have to find the unit price which is [tex]Total Price/Total Units[/tex]

Once you have that round the answer then the answer is 0.36

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

Suppose that g(x) = f(x) + 6. Which statement best compares the graph of g(x) with the graph of f(x)?

The graph of g(x) is the graph of f(x) shifted 6

A.units to the left
B.units up
C.units to the right
D.units down

Answers

Answer:

c. units to the right

Step-by-step explanation:

it would be units to the right because it's +6 meaning it moves to the right.

Answer:

6 units upwards

Step-by-step explanation:

Round 75 to the nearest hundredth

Answers

Answer:

Hundredth? Hundredth is for decimals. If you meant to the nearest Hundred, then it's 100.

Step-by-step explanation:

If you actually meant hundredths though, then it would be 75, because 75 doesn't have any decimals

Find the mean absolute deviation for the following data:
6, 7, 10, 12, 13, 4, 8, 12
(A) 5.50
(B) 4.50
(C) 3.75
(D) 2.75

Answers

The mean absolute deviation is D)

Assessment started: undefined.
Item 1
Which measurement is equivalent to 1 liter?

100 milliliters

1,000 milliliters

10,000 milliliters

100,000 milliliters

Answers

1,000:) is going to be your anwser!

please help i suck at math lol; what is the slope of the line that passes through the points (-12,-4) and (-16,4)

Answers

Answer:

the slope = -2

Answer:

-2

Step-by-step explanation:

I need help with this please

Answers

Answer: Step-by-step explanation:

11.39°

12.∠DOC=180-63-39=78

13.∠EOA=180-39=141

14.mAB=m∠AOB=39

15.mDC=m∠DOC=180-63-39=78

16.mAE=m∠EOA=180-39=141

17.mAED=m∠AOD=180

18.mBED=m∠EOD+m∠AOD=180+39=219

19.mEDA=m∠BOE+m∠AOD=180+39=219

Solve the system of equations.
57 - 10x = 45
-
- 3y + 10x = -5

Answers

Answer: Step-by-step explanation:

57 - 10x = 45

-10x=-12

x=1.2

- 3y + 10x = -5

-3y+10=-5

-3y=-15

y=5

Answer:

1) 57 - 10x = 45 answer: x=−51/5

2) - 3y + 10x = -5 answer: x=3/10y+−1/2 or y=10/3x+5/3

Step-by-step explanation: Hope this help :D

what is the answer to this question 600-9484

Answers

Hello~

The answer is

-8884

Brainliest please!

Ary~

[tex]\boxed{-8884}[/tex] ✅

Step-by-step explanation:

[tex]600 - 9484 \\ = - 8884[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

The box plot shows the algebra scores of students in class A and class B.



The median score of class A is _____.

The interquartile range of class B is ____.

The difference of the medians of class A and class B is
the interquartile range of either data set.

Answers

Answer:

[tex]Mid(A) = 73[/tex]

[tex]IQR(B) = 8[/tex]

The difference of the medians of class A and class B is between  the interquartile range of either data set.

Step-by-step explanation:

Given

The attached box plots

To answer this, see attached image for how to read a box plot

With reference to the attached image of how to read the box plot;

Solving (a): The median of class A

[tex]Mid(A) = 73[/tex]

Solving (b): IQR of class B

IQR is calculated as:

[tex]IQR =Q_3 - Q_1[/tex]

From the box plot of class B, we have:

[tex]Q_3 = 87[/tex]

[tex]Q_1 = 79[/tex]

So, we have:

[tex]IQR(B) = 87 - 79[/tex]

[tex]IQR(B) = 8[/tex]

Solving (c):

[tex]Mid(A) = 73[/tex]

[tex]Mid(B) = 82[/tex]

[tex]IQR(B) = 8[/tex]

IQR of class A is calculated as:

[tex]IQR =Q_3 - Q_1[/tex]

From the box plot of class A, we have:

[tex]Q_3 = 76[/tex]

[tex]Q_1 = 68[/tex]

So, we have:

[tex]IQR(A) = 78 - 68[/tex]

[tex]IQR(A) = 10[/tex]

The difference (d) between the medians is:

[tex]d =Mid(B) - Mid(A)[/tex]

[tex]d = 82 - 73[/tex]

[tex]d = 9[/tex]

From [tex]smallest[/tex] to [tex]largest[/tex], we have: 8, 9, 10

i.e. IQR(B), d, IQR(A)

Answer:

73

8

about half.

Step-by-step explanation:

find the inverse of f(x)= 2x/(5x+6)​

Answers

Answer:

[tex]f(x) = \frac{2x}{5y+6}[/tex]

Step-by-step explanation:

Answer:

Below!

Step-by-step explanation:

f(x) = 2x/5x+6

Sub y for f(x) : y = 2x/5x+6

Swap x and y : x = 2y/5y+6

Multiply both sides by 5y+6 : 2y = (5y + 6) x

Distribute x : 2y = 5xy + 6x

Change sign : 2y - 5xy = 6x

Factor out y : (2-5x)y = 6x

Divide both sides by 2-5x : y = 6x/2-5x

Substitute for y : f^-1(x) = 6x/2-5x

Answer: f^-1(x) = 6x/2-5x

That's the best I could do with my current math knowledge, I hope it makes sense :)

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