What is 2 ÷ 8/9 ????

Answers

Answer 1

Answer:

[tex]2 \div \frac{8}{9} = 2 \times \frac{9}{8} = \frac{9}{4} = 2.25[/tex]

I hope I helped you^_^

Answer 2

Answer:

Step-by-step explanation:

Use KCF method for fraction division.

K- Keep the first fraction.

Change the division to multiplication.

Flip the second fraction

2 ÷ 8/9 = [tex]2 * \dfrac{9}{8}[/tex]

             [tex]= 1*\dfrac{9}{4}=\dfrac{9}{4}\\\\= 2\dfrac{1}{4}[/tex]


Related Questions

what is x in 8 ^ (x - 1 ) = 16 ?

Please help. ​

Answers

Answer:

x=7/3

Step-by-step explanation:

8 ^ (x - 1 ) = 16

We need to rewrite 8 as 2^3  and 16 as 2^4

2^3 ^ (x - 1 ) = 2^4

We know that a^b^c = a^(b*c)

2^(3(x-1)) = 2^4

The bases are the same so the exponents are the same

3(x-1) = 4

Distribute

3x-3 = 4

Add 3 to each side

3x-3+3 = 4+3

3x = 7

Divide by 3

3x/3 = 7/3

x=7/3

Use special right triangle ratios to find the lengths of the other leg and the hypotenuse

Answers

Answer:

leg = 18

hypotenuse = 18 sqrt(2)

Step-by-step explanation:

We know that sin theta = opp side / hypotenuse

sin 45 = 18 / hyp

hyp sin 45 = 18

hyp = 18 / sin 45

hyp = 18 sqrt(2)

Since this is an isosceles triangle ( the two angles are the same measure), the two legs have to be the same length

leg = 18

the lengths of the other leg and the hypotenuse

is 18 units and 18[tex]\sqrt{2}[/tex]units respectively.

Answer:

Solution given:

Let <C=<B=45°

AB=18 units

BC=?

AC=?

again

By using

By usingspecial right triangle ratios

sin C=opposite/hypotenuse=AB/AC=18/AC

Sin 45=18/AC

AC=18/sin45

AC=hypotenuse=18[tex]\sqrt{2}[/tex]units

again

Tan A=opposite/adjacent=BC/AB=BC/18

Tan45=BC/18

BC=Tan45*18

BC=length of another leg=18 units.

Use the diagram.
What is the length of }EG ?
A 1 B 4.4
C 10 D 16

Answers

Answer:

Option (D)

Step-by-step explanation:

Length of the bar EG = 1.6x

If F is a point on the bar such that,

EF + FG = EG

Measure of segment EF = 6

Measure of FG = x

By substituting measures of each side,

6 + x = 1.6x

1.6x - x = 6

0.6x = 6

x = 10

Length of EG = x + 6

                      = 10 + 6

                      = 16 units

Option (D) will be the correct option.

From the given diagram , the length of EG is 16

Given :

From the diagram , we can see that

EF=6, FG=x and EG=1.6x

We know that , EG=EF+FG

[tex]EG=EF+FG\\1.6x=6+x\\Solve \; for \; x\\1.6x-x=6\\0.6x=6\\divide by \; 0.6\\x=10[/tex]

Now we find out EG

EG=1.6x

Substitute 10 for x

[tex]EG=1.6x=1.6(10)=16\\[/tex]

EG=16

The length of EG is 16

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HELP PLEASE!

Given that sin A=3/7, cos B=-2/5, and both AA and B are in quadrant II, find cos (A-B). Simplify to a single value and leave it in the form of a rational number.

Answers

First, recall that

cos(A - B) = cos(A) cos(B) + sin(A) sin(B)

so you just need to find cos(A) and sin(B).

Since both A and B end in the second quadrant, you know that

• cos(A) and cos(B) are both negative

• sin(A) and sin(B) are both positive

Then from the Pythagorean identity, you get

cos²(A) + sin²(A) = 1   ==>   cos(A) = -√(1 - sin²(A)) = -2√10/7

cos²(B) + sin²(B) = 1   ==>   sin(B) = +√(1 - cos²(B)) = √21/5

You'll end up with

cos(A - B) = (-2√10/7) (-2/5) + (3/7) (√21/5)

… = (4√10 + 3√21)/35

(which makes the last sentence in the question kind of confusing, because this expression doesn't get much simpler and it's certainly not a rational number)

The value of cos(A - B) is approximately 23/25

Given that A and B are in the second quadrant, we have

sin A = 3/7cos B = -2/5

To find cos(A - B), we have to use trigonometric functions

cos(A - B) = cosAcosB + sinAsinB ...equation(i)

but

cos A

[tex]cos^2A + sin^2A =1 \\cos^2A = 1 - sin^2A\\cos^2A = 1 - (\frac{3}{7})^2 = 1 - \frac{9}{49}= cosA= -\frac{2\sqrt{5} }{7}[/tex]

Having the value of cos A, let's solve for cosB

Cos B

cos B = -2/5

[tex]sin^2B = 1-cos^2B\\sin^2B = 1-(-\frac{2}{5})^2= 1-\frac{4}{25}\\sinB = \sqrt{\frac{21}{25} }=\frac{\sqrt{21} }{5}[/tex]

cos(A-B)

substituting the values if sinA, cosA, sinB, cosB into equation(i) above;

[tex]cos(A-B)=cosAcosB+sinAsinB\\cos(A-B)=(-\frac{2\sqrt{5} }{7})(-\frac{2}{5})+(\frac{3}{7})(\frac{\sqrt{21} }{5})\\cos(A-B)=\frac{3\sqrt{21}+4\sqrt{5} }{35} \\cos(A-B) = 23/35[/tex]

The value of cos(A-B) is given above

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William wishes to view a frequency table for grouped data using his monthly credit card statements for the last 20 months, shown below. Construct the table for William using six classes. 1312, 1303, 809, 1477, 1263, 1444, 894, 1051, 1485, 1433, 1132, 1221, 1179, 945, 995, 1179, 1172, 1373, 906, 955 Provide your answer below: Lower Class Limit Upper Class Limit Frequency 809 1486

Answers

Frequency is the number of incidences of an occasion or value. A frequency table that displays the number of incidences of the goods and the number of times, and the further discussion can be defined as follows:

Lower class than adults who have little over two-thirds of a nationwide median's average household income.The higher class would include families with substantial wealth and biz incomes or where the primary breadwinner is utilized as a manager or a professional worker.

Calculation:

[tex]lower\ \ \ \ \ \ \ \ \ upper \ \ \ \ \ \ \ \ \ frequency\\\\809\ \ \ \ \ \ \ \ \ 921 \ \ \ \ \ \ \ \ \ 3\\\\922 \ \ \ \ \ \ \ \ \ 1034 \ \ \ \ \ \ \ \ \ 3\\\\1035 \ \ \ \ \ \ \ \ \ 1147\ \ \ \ \ \ \ \ \ 2\\\\1148 \ \ \ \ \ \ \ \ \ 1260\ \ \ \ \ \ \ \ \ 4\\\\1261 \ \ \ \ \ \ \ \ \ 1373 \ \ \ \ \ \ \ \ \ 4\\\\1374 \ \ \ \ \ \ \ \ \ 1486\ \ \ \ \ \ \ \ \ 4[/tex]

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Use the expression, X^2-7
What is the value of the expression above when n=5

Answers

Answer:

18

Step-by-step explanation:

X^2 - 7 =

Since we need to evaluate the expression when X = 5, we replace X with 5.

= 5^2 - 7

Now, according to the correct order of operations, we need to do the exponent first. 5^2 = 5 * 5 = 25

= 25 - 7

Finally, we subtract.

= 18

Answer: 18

CAN SOMEONE HELP ME PLEASE

Answers

Answer:

1/6

Step-by-step explanation:

They're independent which means to find their intersection you just multiply

(1/4)*(2/3)= 2/12= 1/6

The answer is 1/20 given that the q is 1/4 and the r is 2/3 hope this helps.

How do you write 50% as a fraction?

Answers

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Answer:

50% as a fraction would be 1/2


Find the distance between the points (10, 14) and (1,4) on a coordinate plane.

Answers

Sheeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeesh

HELP ME WITH THIS PLEASE PLEASE SHOW ME THE FORMULA FOR LETTER C​

Answers

Answer:

Which subject is this . please tell

Answer:

see explanation

Step-by-step explanation:

1

(a)

Calculate slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁  = (8, 3) and (x₂, y₂ ) = (10, 7)

m = [tex]\frac{7-3}{10-8}[/tex] = [tex]\frac{4}{2}[/tex] = 2

(b)

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{2}[/tex]

(c)

The equation of a line in slope- intercept form is

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

Here m = - [tex]\frac{1}{2}[/tex] , then

y = - [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

To find c substitute (8, 3) into the partial equation

3 = - 4 + c ⇒ c = 3 + 4 = 7

y = - [tex]\frac{1}{2}[/tex] x + 7 ← equation of perpendicular line

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

2

(a)

with (x₁, y₁ ) = (3, 5) and (x₂, y₂ ) = (4, 4)

m = [tex]\frac{4-5}{4-3}[/tex] = [tex]\frac{-1}{1}[/tex] = - 1

(b)

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{-1}[/tex] = 1

(c)

y = x + c ← is the partial equation

To find c substitute (3, 5) into the partial equation

5 = 3 + c ⇒ c = 5 - 3 = 2

y = x + 2 ← equation of perpendicular line

PLEASE HELP QUICK 30 POINTS !!!!!!

Ryan wants to make a triangular deck. He wants each side to be a different length.
Select three lengths he could use to make a triangle:
Side 1:
Side 2:
Side 3:
:: 3 feet
:: 10 feet
.: 20 feet
:: 25 feet
:: 60 feet

Answers

Answer:

10 ft, 20ft and 25 ft.

Step-by-step explanation:

10 ft, 20ft and 25 ft.

This will make a triangle as 25 < (10 + 20).

Answer:

Solution given:

one side of a triangle must be less than the sum of two other side .

by making these sense:

3<10+20

10<20+3

20<10+3not true

these three side are not possible.

again

10<20+25

20<25+10

25<20+10

these three side are true so

required side are:

Side 1:10

Side 2:25

Side 3:20

Which expression is equivalent to 4-2 _ 2-3

Answers

Answer:

16

Step-by-step explanation:

First you calculate the value

(2)÷2^-2

Then you simplify

2^4

=16

Select the true statement about triangle ABC.

A. cos A = cos C
B. cos A = sin C
C. cos A = sin B
D. cos A = tan C

Answers

Answer:

B

Step-by-step explanation:

cosA = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{12}{13}[/tex]

cosC = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{5}{13}[/tex]

sinC = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{12}{13}[/tex]

tanC = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{12}{5}[/tex]

Then

cosA = sinC → B

HELP!!!!!
If anyone knows the answer please tell me as soon as possible PLEASE!!!!

Answers

Answer:

Plotting the points on graph and joining them gives a right angle triangle

Answer:

right angle triangle

Step-by-step explanation:

Slope = (Y1-Y2)/(X1-X2)

The slope of AC is 1/3. The slope of BC is -3. Therefore AC is perpendicular to BC (right angle).

What is the range of f(x) = x - 2, if the domain is {3, 1, 2)?​

Answers

Answer:

Range: {1, -1, 0}

Step-by-step explanation:

Just subtract 2 from each number :)

A wind turbine has blades 50m in diameter and an overall height (to the highest point) of 125m. If it has four blades instead of three, create four equations modelling the height of a point on the tip for each of the four blades.

Answers

Answer:

Blade A : H(θ) = 75 + 50 sin θ

Blade B : H(θ) = 75 + 50 sin(θ + 90° )

Blade C : H(θ) = 75 + 50 sin( θ + 180° )  

Blade D : H(θ) = 75 + 50 sin( θ + 270° )

Step-by-step explanation:

Given data :

Diameter of blade = 50 m

overall height = 125 m

The four blades : Blade A , Blade B, Blade C, Blade D  all moves in same direction hence they make 90° to each other.

Lets assume The blades are standing at  θ with the horizontal

The four equation  modelling the heights :

Blade A : H(θ) = 75 + 50 sin θ

Blade B : H(θ) = 75 + 50 sin(θ + 90° )

Blade C : H(θ) = 75 + 50 sin( θ + 180° )  

Blade D : H(θ) = 75 + 50 sin( θ + 270° )

Using the formula do you sound level and disciples are use the intensity of the sound you're measuring. Set an alarm to normal conversation has an intensity of 3.2×10 to the -6

Answers

Answer:

65.1 decibels

Step-by-step explanation:

Given

[tex]I = 3.2 * 10^{-6}[/tex] --- intensity

Required

Determine the sound level

This is calculated using:

[tex]B = 10\log(\frac{I}{I_o})[/tex]

Where:

[tex]I_o = 1 * 10^{-12}[/tex]

So, we have:

[tex]B = 10\log(\frac{3.2 * 10^{-6}}{1 * 10^{-12}})[/tex]

Apply law of indices

[tex]B = 10\log(\frac{3.2 * 10^{-6+12}}{1})[/tex]

[tex]B = 10\log(3.2 * 10^{6})[/tex]

Using a calculator, we have:

[tex]B = 10*6.51[/tex]

[tex]B = 65.1[/tex]

Find the missing segment in the image below

Answers

Answer:

8? not sure tho....

Step-by-step explanation:

The answer is 8 trust me on this

Find the expected value of the winnings
from a game that has the following
payout probability distribution:
Payout ($) 0 5
8
10
15
Probability 0.5 0.2 0.15 0.1 0.05
Expected Value = [?]

Answers

Multiply each payout by the corresponding probability and take the total:

E[X] = 0×0.5 + 5×0.2 + 8×0.15 + 10×0.1 + 15×0.05 = 3.95

The expected value = 3.92

What is expected value ?

"It describes the average of a discrete set of variables based on their associated probabilities."

Formula of expected value:

[tex]E(x)=\Sigma[ xP(x)][/tex]

Multiply each value of the random variable by its probability and add the products.

For given question,

We have been given a payout probability distribution.

We need to find the expected value of the winnings.

First we multiply each value of the random variable by its probability .

0 × 0.5 = 0

5 × 0.2 = 1

8 × 0.15 = 1.2

10 × 0.1 = 1

15 × 0.05 = 0.75

Now, we find the sum of above products.

0 + 1 + 1.2 + 1 + 0.75 = 3.95

By using the formula of expected value,

[tex]\Rightarrow E(x)=\Sigma[ xP(x)]\\\\\Rightarrow E(x)=3.92[/tex]

Therefore, the expected value = 3.92

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

Answers

Answer:

(x+2y)(x+2y)

x²+2xy+2xy+2y²

x²+4xy+2y²

(2x+3y)(2x+3y)

4x²+6xy+6xy+9y²

4x²+12xy+9y²

Complete the synthetic division problem below.

Answers

Answer:

B

Step-by-step explanation:

- 2 | 2   2   - 2   4

      ↓  - 4    4   - 4

    --------------------------

      2   - 2   2    0 ← remainder

Since the remainder = 0 then (x + 2) is a factor

quotient = 2x² - 2x + 2

write 5 lcms of 100 and 120

Answers

Answer:

The LCM of 100 and 120 is 600.

The LCM of 5 and 120 is 120.

LCM of 5 and 100 is 100.

Step-by-step explanation:

I think this is the answer . If it is not sorry .

What is the mode of the following set of numbers.
121,347,45,21,300,614,312,333,421

Answers

Answer:

the answer is 614

Step-by-step explanation:

hope it help!!

ASAP HELP!! PLEASEEEE!!

Answers

Answer:

Step-by-step explanation:

5.1, please this is just a guess from using my head to calculate

The volumes of two similar solids are 512cm3 and 2197cm3. If the smaller solid has a surface are of 960cm2, find the surface area of the larger solid. Part 1: find the similarity ratio by taking the cube root of each volume. Show your work. Part 2: use your answer from part 1 to find the ratio of the surface areas. Show your work. Part 3: set up a proportion and solve to find the surface area of the larger solid.

Answers

Answer:

see below

Step-by-step explanation:

Part 1:

(512) ^ 1/3

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

(2197) ^ 1/3

8

-----

13

The scale factor is 8:13

Part 2

The ratios of the areas is related by scale factor squared

8^2

-----

13^2

64      

------  

169

Part 3

64       960

------  = ----------------

169     SA larger

Using cross products

64 * SA = 169 * 960

64 SA = 162240

Divide each side by 64

64 SA/ 64 = 162240 / 64

SA = 2535

2535 cm^2

What is the value of x that makes L1 ∣∣ L2?

A. 15
B. 29
C. 18
D. 25

Answers

Answer:

B

Step-by-step explanation:

For the lines to be parallel.

The 2 given angles are corresponding and congruent, that is

4x - 12 = 3x + 17 ( subtract 3x from both sides )

x - 12 = 17 ( add 12 to both sides )

x = 29 → B

The value of x will be 29°. Then the correct option is B.

What is a corresponding angle?

If two lines are parallel, then the third line. The corresponding angles are equal angles.

We know that the angle (3x + 17) and (4x – 12) are corresponding angle.

(3x + 17) = (4x – 12)

4x – 3x = 17 + 12

          x = 29°

The value of x will be 29°.

Then the correct option is B.

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Point T Is the incenter of PQR.Point T is the point of concurrency of the angle bisector. Find ST.

Answers

ST is 10 because since T is the incenter is equidistant from all sides.

5/21 as a decimal rounded to 3 decimal places

Answers

[tex] \sf \: \frac{5}{21 } \: rounded \: to \: 3 \: decimal \: places \: is \: \boxed{ \underline{ \bf0.238}}. \\ \longrightarrow \sf \: Just \: divide \: 5 \: by \: 21 \: upto \: 3 \: decimal \: places \\ \sf \: to \: get \: the \: answer.[/tex]

What is the area of this triangle

Answers

Answer:

14

Step-by-step explanation:

7*4*1/2=14

The graph of the function g(x) is given for #1 - 5.
1. Which of the following is the given function's
average rate of change on the interval PLS HELP. ASAP

Answers

Answer:

sorry mistalely hai Don Bosco school leave gareko he'llo you so much for your time and consideration and I will mark as the brillianest plzzzzzzzzzzzzzzzzzzzz seetq you so much for your time and consideration and I will mark as the brillianest plzzzzzzzzzzzzzzzzzzzz seetq you so much for your time and consideration and I will mark as the brillianest plzzzzzzzzzzzzzzzzzzzz seetq you so much for your time and consideration and I will mark as the brillianest plzzzzzzzzzzzzzzzzzzzz seetq you so much for

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It juststarts to move.What is the coefficient of static friction?Numeric Response the momentum of a spring coil when the external compressing force is removed b the difference between the final momentum and the initial momentum of the object c the backward momentum felt by an object or person exerting force on another object d the difference between the total momentum of the system after impact and the total momentum of the system before impact How is matter converted into energy in the suns core? A. Helium isotopes decay, releasing energy in the process. B. Hydrogen nuclei collide and fuse, releasing energy in the process. C. Hydrogen nuclei collide and fuse, consuming energy. D. Hydrogen nuclei split apart, releasing energy in the process.