Use the Geometric Mean Theorem and your knowledge of proportions to find the value of x.

Use The Geometric Mean Theorem And Your Knowledge Of Proportions To Find The Value Of X.

Answers

Answer 1

Answer:

[tex]x=9.6cm[/tex]

Step-by-step explanation:

[tex]x=\frac{2Area}{20}\\\\Area = \frac{16 * 12}{2} = 96 cm^{2}\\ \\x = \frac{2 * 96}{20} = \frac{192}{20} = \frac{48}{5} = 9.6 cm[/tex]


Related Questions

The critical points of a rational inequality are x = –4 and x = 2. Which set of points can be tested to find a complete solution to the inequality?

Answers

Answer:

-2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Lucy rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total more than 10.

Answers

Answer:

Answer:

The probability of obtaining the sum of 10 is 1/12 or 0.0833

Step-by-step explanation:

Given

2 fair dice

Required

Probability of obtaining the sum of 10

To solve this, we have to list out the sample space.

Sample space is the total possible sum that can be obtained when she rolls the dice.

Let the first die be represented with S1 and the second be represented with S2.

S1 = {1,2,3,4,5,6}

S2 = {1,2,3,4,5,6}

To get the sample space, we have to add individual elements of S1 and S2.

This is done as follows.

When S1 = 1 and S2 = {1,2,3,4,5,6}

Sum = 1+1, 1+2, 1+3, 1+4, 1+5, 1+6

Sum = 2, 3, 4, 5, 6, 7

When S1 = 2 and S2 = {1,2,3,4,5,6}

Sum = 2+1, 2+2, 2+3, 2+4, 2+5, 2+6

Sum = 3,4,5,6,7,8

Using the same pattern as used above

When S1 = 3 and S2 = {1,2,3,4,5,6}

Sum = 4,5,6,7,8,9

When S1 = 4 and S2 = {1,2,3,4,5,6}

Sum = 5,6,7,8,9,10

When S1 = 5 and S2 = {1,2,3,4,5,6}

Sum = 6,7,8,9,10,11

When S1 = 6 and S2 = {1,2,3,4,5,6}

Sum = 7,8,9,10,11,12

Writing out the Sum, will give us the sample space.

Sample Space = {2, 3, 4, 5, 6, 7, 3, 4, 5, 6, 7, 8, 4, 5, 6, 7, 8, 9, 5, 6, 7, 8, 9, 10, 6, 7, 8, 9, 10, 11, 7, 8, 9, 10, 11, 12}

The sample space has a total of 36 elements

To calculate the probability of obtaining the sum of 10,

We have to count the number of 10's in the sample space

Number of 10 = 3

Probability = Number of 10 / Number of Sample Space

Probability = 3 / 36

Probability = 1/12

Probability = 0.0833

Hence, the probability of obtaining the sum of 10 is 1/12 or 0.0833

An empty shipping box weighs 250 grams. The box is then filled with T-shirts. Each T-shirt weighs 132.5 grams. The equation W = 250 + 132.5T represents the relationship between the quantities in this situation, where W is the weight, in grams, of the filled box and T the number of shirts in the box. Select two possible solutions to the equation W = 250 + 132.5T .

Answers

Answer:

For 20  t shirts  the weight is 2900 grams

and for 25 t- shirts the weight is 3562.5 gms  

Step-by-step explanation:

W = 250 + 132.5T

1) If we know the total weight we can find the number of t- shirts and

2) if the number of shirts are known the total weight can be calculated.

For example if the expression W= 250 + 132.5T is written like is written like

2900 = 250 + 132.5T

2900-250 = 132.5T

T = 2650/132.5= 20 shirts

Similarly if we have 25 t- shirts then the weight would be

W = 250 + 132.5(25)

W= 250+ 3312.5=  3562.5 gms  

plz help me its do today

Answers

y int: 5
equation: -2/3x +5
slope: -2/3

What are the intersection points of the function: (x - 9)(x + 1) = (x + 1) *

Answers

Answer:

The intersection points are (-1,0) and (10,0)

Step-by-step explanation:

Brainliest if i am right? uwu

Please help someone
2/5

Answers

Answer:

B

Step-by-step explanation:

Answer:

B is correct

Step-by-step explanation:

√5 ≈ 2,24

since it is - √5 the answer must be -2,24 so B is correct

ILL MARK U BRAINLIEST!!!

Answers

Answer:

20

Step-by-step explanation:

first take out the cost of the cup 31.75-6.75=25

then divide by the cost of the refills 25/1.25=20

hope this helps :)

What does F(1) represent ?

Answers

Answer:

F(1) represents the first term of the sequence.

Step-by-step explanation:

Let us suppose the sequence function

[tex]F(n) = 16-3n[/tex]

We can find the first term of the sequence by substituting n=1 in the function sequence

[tex]F(1) = 16-3(1)[/tex]

        [tex]= 16-3[/tex]

        [tex]=13[/tex]

We can find the 2nd term of the sequence by substituting n=2 in the function sequence

[tex]F(2) = 16-3(2)[/tex]

        [tex]= 16-6[/tex]

        [tex]=10[/tex]

We can find the 3rd term of the sequence by substituting n=3 in the function sequence

[tex]F(3) = 16-3(3)[/tex]

        [tex]= 16-9[/tex]

        [tex]=7[/tex]

So the first three terms of the sequence is:

13, 10, 7...

As the common difference is the same.

i.e. d = 10-13 = -3, d = 7-10 = -3

Hence, it is an Arithmetic sequence.

As the first term is 13, which can be obtained by putting n=1 in the function sequence.

Therefore, from the above discussion, we can conclude that F(1) represents the first term of the sequence.

do yall know this one? ​

Answers

Answer:

8x

Step-by-step explanation:

it's the slope

y = 8x or y = 8/1x

Do not place /1.

The system understands that there is a invisible 1 that's how all whole number can turn into equations.

PLEASE HELP!!

Which is the simplified form of the expression

1 - StartFraction 1 Over q Superscript 30 Baseline EndFraction

2 - q Superscript 30

3 - StartFraction p Superscript 12 Baseline Over q Superscript 60 Baseline EndFraction

4 - p Superscript 12 Baseline q Superscript 60

Answers

jjabsbsbabsvAHSBDHAHAHSHSHSHSH

Answer:

1/q^30

Step-by-step explanation:

Simplified

Can someone plz help with 7-8 plz ASAP will give 10 points and mark brainliest

Answers

7. c

8. d

those are the answers

114 + 70 + n ≥ 200

184 + n ≥ 200

n ≥ 200 -184

n ≥ 16

What is the slope of the line that passes through the points (7,−6) and (4, -6) ? Write your answer in simplest form.

Answers

the answer is m = 0. i hope this helps-

During a weekend trip, Selena drove 4 times as far as Jason. Altogether they drove 380 miles. Which equation can be solved for x, the number of miles Jason drove?

Answers

Answer:

4x+x=360 (whole equation)

x=72 (answer)

Step-by-step explanation:

Let the distance driven by Jason be x.

Selena drove four times as far.

Hence, distance Selena drove is 4x.

They drove 380 miles altogether.

Hence, 4x + x = 380

5x = 380

x = 72

Hope this helped!

1. Prove that root15 is irrational
-​

Answers

root15 has no square factors, so i cant be simplified which makes it irrational

Step-by-step explanation:

V15 is rational ( contradiction method). V15=a/b (a and b are not common factor). squaring on both sides, we get, 15= a^2/b^2. 15b^2=a^2 (a=15c) b^2=15/a^2 (assume, a^2 =225c^2) 15b^2=225c^2 b^2=225c^2/15 b^2=15c^2 c^2=15/b^2 c =15/b. 15 divided both a and b which is a contradiction. ie, is irrational.

Every week, a car dealer ship sells at least 5 minivans. Write an inequality that represents this situation. Let c represent the number of minivans sold each week.

Answers

Answer:

An inequality 'c ≥ 5' represents this situation.

Step-by-step explanation:

We know that the inequality symbol '≥' represents 'at least'.

For example, 'x≥y' means 'x' is greater than or equal to b. It means 'x' is at least equal to 'y'.

Let 'c' represent the number of minivans sold each week.

As a car dealer ship sells at least 5 minivans. It means the dealer can also sell more than 5.

i.e. c ≥ 5

Therefore, an inequality 'c ≥ 5' represents this situation.

There are two types of cellular phones, handheld phones (H)that you carry and monile phones (M) that are mounted invehicles. Phone calls can be classified by the travelingspeed of the user as fast (F) or slow (W). The probabilitymodel for this experiment has the following information: P[F] =0.5, P[HF] = 0.2, P[MW] = 0.1. What is the sample space ofthe experiment? Calculate the followng probabilites:a) P[W]b) P[MF]c) P[H]

Answers

Answer:

Explained below.

Step-by-step explanation:

(1)

Sample space is a set of all possible outcomes of an experiment.

The sample space in this case is:

S = {HF, HW, MF, MW}

(a)

Compute the value of P (W) as follows:

P (F) + P (W) = 1

P (W) = 1 - P (F)

P (W) = 1 - 0.50

P (W) = 0.50

(b)

Compute the value of P (MF) as follows:

P (HF) + P (MF) = P (F)

P (MF) = P (F) - P (HF)

P (MF) = 0.50 - 0.20

P (MF) = 0.30

(c)

Compute the value of P (M) as follows:

P (M) = P (MF) + P (MW)

P (M) = 0.30 + 0.10

P (M) = 0.40

Compute the value of P (H) as follows:

P (H) + P (M) = 1

P (H) = 1 - P (M)

P (H) = 1 - 0.40

P (H) = 0.60

Michael and Imani go out to eat for lunch. Part A If their food and beverages cost $25.30 and there is an 8% meals tax, how much is the bill? Enter your answer in the box.

Answers

Answer:

Step-by-step explanation:

25.30*8% tax = 2.02 tax

total 25.30+2.02= $27.32

Answer:

$27.32

Step-by-step explanation:

Multiply $25.30 by 0.08 (8% is equal to 0.08)

2.024

Add 2.024 to $25.30

That would be 27.324

Round to the nearest hundredth

$27.32

Hope this helps :)

Please consider Brainliest :)

-59 = m - 11, m = ? i dont know the answer

Answers

Answer:

m = -48

Step-by-step explanation:

m - 11 = -59 (add 11 on both sides)

m = -48

Hope this helps!!

Answer:

m = -48

Step-by-step explanation:

m - 11 = -59

you add the 11 to both sides crossing it out from the left side and then you get an equation that looks like this.

m = -59 + 11

Now you can just solve it like a simple subtraction problem, -59 + 11 = -48

Hope I was able to help :)

I have 10 minutes left someone help

Answers

Answer: there is no question. Its empty

Step-by-step explanation:

Answer:

with what

Step-by-step explanation:

Your friend comes from a large family. This list shows the ages of all of the children in her family. What is the median age of the children?

12, 9, 15, 7, 9, 13, 16
OPTIONS:
A. 11 4/7
B. 7
C. 12
D. 9

Answers

Answer:

It is 11 and 4/7 I am pretty sure hope I helped!

California, the most populous state, has approximately 4 x 107​ ​ people living in it. The population of the entire United States is approximately 3 x 108​ ​. About how many times greater is the population of States than the population of California

Answers

Answer:

3 x 108 =324 United States

4 x 107 =428 california

Step-by-step explanation:

United States is 3 times greater while california is 4 time greater

Write equations of the horizontal and vertical lines that pass through the given
point.
12. (-3,-4)
Horizontal line
vertical line

Answers

Answer:

Horizontal line ⇒ y = -4

Vertical line ⇒ x = -3

Step-by-step explanation:

The line is horizontal if the y-coordinates of all points lie on it have the same valueThe equation of the horizontal line that passes through the point (a, b) is y = bThe line is vertical if the x-coordinates of all points lie on it have the same valueThe equation of the vertical line that passes through the point (a, b) is x = a

∵ A horizontal line passes through the point (-3, -4)

→ That means the y-coordinates of all points on the line have

   the same value

The equation of the line is y = -4

∵ A vertical line passes through the point (-3, -4)

→ That means the x-coordinates of all points on the line have

   the same value

The equation of the line is x = -3

i'll give brainliest!!

solve 3 + 4x > -5 for x

a: x > -2

b: x < -1.75

c: x < -2

d: x > -1.75

Answers

Answer:

x>-2

3+4x>-5

4x>-5-3

4x>-8

x>-2

the answer is x>-2

Answer:

x > -2

Step-by-step explanation:

Can someone help me please

Answers

Answer:

D

Step-by-step explanation:

the domain is all x values. so:

0, 4, 5, 10

I think that's answer d

Answer:

Step-by-step explanation:

The domain is the x so 0,4,5,10 or D

The x and y intercepts are:

x=(1,0)

y=(0,3)

Coach South and Mr. Dr. Coach Rhodes are having a problem solving competition. Mr. Dr. Coach Rhodes can solve four more problems than twice the number of Coach South. If Mr. Dr. COach Rhodes has solved twenty problems, how many problems has Coach South solved?

Answers

62? I’m guessing I think so

9514 1404 393

Answer:

  8

Step-by-step explanation:

Let s represent the number of problems Coach South solved. Then Mr Dr Coach Rhodes solved ...

  2s +4 = 20

  2s = 16

  s = 8

Coach South solved 8 problems.

What's 8.517 in expanded form

Answers

(8x1)+(5/10)+(1/100)+(7/1000)

Answer:

8.517 in expanded form is 8*1) + (5*0.1) + (1*0.01) + (7*0.001). 8.517 in word form is eight and five hundred seventeen thousandths.

Blow this question up with random stuff

Answers

Answer:

yay

Step-by-step explanation:

hi my unicorn ate the dog

Thomas used a can to feel his new fish tank with water. The fish tank holds 11 gallons of water. His can hold 1/5 of a gallon. How many times will Thomas have to feel his canned to put 11 gallons of water in a fish tank?

Answers

Answer:

55

Step-by-step explanation:

If the can holds 1/5 of a gallon, he will have to fill it up 5 times to fill 1 gallon of the tank. Since the tank holds 11 gallons, he will have to fill up the can 5 × 11 = 55 times.

For every $890 lawn
mower Kelly sells, she
gets a commission of
$178. What percentage
is Kelly's
commission?

Answers

Answer:

20%

Step-by-step explanation:

178/890= .2 or 20%

How does the graph of g(x)=⌈x⌉+7 differ from the graph of f(x)=⌈x⌉?




The graph of g(x)=⌈x⌉+7 is the graph of f(x)=⌈x⌉ shifted up 7 units.

The graph of g(x)=⌈x⌉+7 is the graph of f(x)=⌈x⌉ shifted right 7 units.

The graph of g(x)=⌈x⌉+7 is the graph of f(x)=⌈x⌉ shifted down 7 units.

The graph of g(x)=⌈x⌉+7 is the graph of f(x)=⌈x⌉ shifted left 7 units.

Answers

Answer: A) shift up 7 units

The +7 at the end effectively adds 7 to each y coordinate output, which is why the entire graph shifts up 7 units. For instance, a point like (1,2) moves to (1,9) after shifting up 7 units.

Side note: The function f(x)=⌈x⌉ is the ceiling function. It takes any decimal value and rounds it up to the nearest whole number. If you had an input like x = 2.01 then the output would be y = 3 even though 2.01 is closer to 2 than it is to 3.

Answer: A) shift up 7 units

Step-by-step explanation:

The +7 at the end effectively adds 7 to each y coordinate output, which is why the entire graph shifts up 7 units. For instance, a point like (1,2) moves to (1,9) after shifting up 7 units.

Side note: The function f(x)=⌈x⌉ is the ceiling function. It takes any decimal value and rounds it up to the nearest whole number. If you had an input like x = 2.01 then the output would be y = 3 even though 2.01 is closer to 2 than it is to 3.

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