Large bottle of juice contains 500 ml of juice. Medium bottle contains 70% as much juice as large bottle. How many milliliters of juice are in the medium bottle?

Answer:

Step-by-step explanation:

use Pythagorean theorem:

a² + b² = c²

where a = 4/2 = 2

           b = 5

           c = x

plugin values into the formula:

2² + 5² = x²

x = √(2² + 5²)

x = √29

The length of the side x of the isosceles triangle is x = √29 units

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

The measure of side AB = AC = x

The measure of BC = 4 units

Now , let AD be the perpendicular bisector of the triangle and AD = 5 units

where the measure of BD = measure of CD

And , right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

So , the measure of x = √ ( AD )² + ( BD )²

x = √ ( 25 ) + ( 4 )

x = √29 units

Hence , the length of side of triangle is x = √29 units

To learn more about triangles click :

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Answer:

Option (A)

Step-by-step explanation:

Volume of a cylinder is given by the formula,

V = πr²h

Here r = radius of the cylinder

h = height of the cylinder

Therefore, volume of a cylinder given in the question,

V = π([tex]\frac{18}{2}[/tex])²(8)

  = 648π

  = 2035.8 km²

Volume of the given cylinder is 2035.8 km².

Option (A) will be the answer.

Answer:

-1/3 I think

Step-by-step explanation:

use the slope formula

Answer:

B is the answer

hope it helps

10x - 4y = 5 (if it requires shorten)

Step-by-step explanation:

x + y/5 - 1 = y - x

<=> (5x + y - 1.5)/5 = 5(y - x)/5

<=> 5x + y - 5 = 5y - 5x

<=> 5x + 5x + y - 5y = 5

<=> 10x - 4y = 5

Answer:

A

Step-by-step explanation:

The first part is Linear and 2. The second part is exponential and 3.

The first graph is linear and they are asking for "2" in the bottom answer box because it grows by 2 every time.

The second graph is exponential growth and they are asking for "3" in the bottom box.

Have a terrific day, Hope this helps!!

Answer:

A

Step-by-step explanation:

Hopefully this helps

Answer:

The standard deviation of the sampling distribution is [tex]\sigma =0.0087[/tex]

Step-by-step explanation:

From the question we are told that

     The sample size is  n =  1500

     The population proportion is  [tex]p = 0.013[/tex]

Generally the standard deviation of this sampling distribution is mathematically represented as

      [tex]\sigma = \sqrt{ \frac{p (1- p)}{ n} }[/tex]

=>     [tex]\sigma = \sqrt{\frac{0.13(1-0.13)}{1500} }[/tex]

=>   [tex]\sigma =0.0087[/tex]

The standard deviation of the considered sampling distribution of the proportion supporting the increase is 0.0027 approx.

Suppose the sample proportion be denoted by [tex]\hat{p}[/tex], then, its distribution is normally distributed with mean [tex]p[/tex] and the standard deviation of distribution of [tex]\hat{p}[/tex] is given by

 [tex]\sigma = \sqrt{\dfrac{p(1-p)}{n}}[/tex]

where n is the sample size. It is true until [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex]

For the given case, we're given that:

Thus, standard deviation of the sampling distribution is approximately 0.0027

Learn more about standard deviation of proportion distribution here:

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Answer:

(-2, 5)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

3x + 4y = 14

x = 2y - 12

Step 2: Solve for y

Substitution

Step 3: Solve for x

Answer:

[tex]CF<BC<BF[/tex]

Step-by-step explanation:

[tex]As\ we\ know\ that,\\The\ longest\ side\ in\ a\ triangle\ is\ the\ side\ opposite\ to\ the\ largest\ angle.\\Here\ in\ \triangle BCF,\\\angle B=52\\\angle C=65\\\angle F=63 [Angle\ Sum\ Property\ Of\ A\ Triangle]\\Hence,\\As\ we\ can\ observe\ that\ \angle C\ is\ the\ largest\ followed\ be\ \angle\ F\ and\ \angle B. \\BF\ is\ the\ longest side\ followed\ by\ BC\ and\ CF.\\Hence, \\BF>BC>CF\\Or,\\CF<BC<BF[/tex]

Answer:

D

Step-by-step explanation:

Answer:

It's 9

Step-by-step explanation:

2x+10=3x+1

-x=-9

x=9

Answer:

(0, 10)

Step-by-step explanation:

There is a dotted line at the end, therefore, it doesn't keep going so its (0, 10)

Answer:

414

Step-by-step explanation:

the ratio of adult tickets to student tickets = 2 to 7  num of student tickets / 92 = 7 / 2 ... x = 414 total tickets sold.

Answer:

1. 50℅

2. 25℅

3. 60℅

hope it helps.

Answer:

Below.

Step-by-step explanation:

1. Divide 15 by 30 which is  1/2.

Then multiply 1/2 by 100 = 50%.

2.  3/12 = 1/4

1/4 * 100 = 25%

3.  6/10 = 0.6

0.6 * 100 = 60%.

Answer:

it's not a proportional relationship. ..............

Answer:

ok look, you gonna learn somethin ight

Step-by-step explanation:

If you want answer you usually wanna put at least 15 or more points invested after grinding points its more worth and more people will go for it instead of 5 points just saying it happened to me to i did a 5 points thing and no-one answered then, I did 50 and I got like 5 people saying NOO I WANTED TO ANSWER so yeah no hate but I'm just saying you can report if you think is mean which I already know is rude to most people and idc really. wasnt copied from e

Answer:

B 9 cups

Step-by-step explanation:

Grape juice to orange juice ratio is 2:3, for every 2 cups of grape juice 3 cups of orange juice are used.

6/2=3

3 x 3 =9

for every 6 cups of grape juice, 9 cups of orange juice are used

Check for answer by seeing if the ratio matches up.

6:9 simplified is 2:3.

Answer is correct.

Answer:

7

Step-by-step explanation:

Bluegreen

Bluered

Blueyellow

Greenblue

Greenred

Greenyellow

Redblue

Redgreen

Redyellow

Yellowblue

Yellowgreen

Yellowred

Answer: 7

Step-by-step explanation:

Took on computer

Answer:

254.47

Step-by-step explanation:

Answer:

4:33 or 4/33

Step-by-step explanation:

Answer:

D= Independent variable

Step-by-step explanation:

Answer: 1,176

Step-by-step explanation:

Answer:

Both are solutions of x.

Step-by-step explanation:

[tex]x^{2} =49[/tex]

For [tex]x^{2} =f(a)[/tex] the solutions  are [tex]x=\sqrt{f(a)} ,-\sqrt{f(a)}[/tex]

[tex]x=\sqrt{49} ,x=-\sqrt{49}[/tex]

[tex]\sqrt{49}[/tex]

Factor  the number: [tex]49=7^{2}[/tex]

Apply radical rule: [tex]\sqrt[n]{x^n} =a[/tex]

[tex]\sqrt{7^2} =7[/tex]

=7

[tex]-\sqrt{49}[/tex]

Factor the number: [tex]49=-7^2[/tex]

Apply radical rule: [tex]\sqrt[n]{x^n} =a[/tex]

[tex]-\sqrt{7^2}=7[/tex]

[tex]=-7[/tex]

Answer:

11+x+13=40

Step 1: Simplify both sides of the equation.

11+x+13=40

(x)+(11+13)=40(Combine Like Terms)

x+24=40

x+24=40

Step 2: Subtract 24 from both sides.

x+24−24=40−24

x=16

Answer:

x = 16

Step-by-step explanation:

11 + x + 13 = 40

x + 24 = 40

x = 40 - 24

x = 16

Thus, The value of x is 16

-TheUnknownScientist

Answer:

x ≤ 12.83

(Any number under or equal to 12.8333...)

Step-by-step explanation:

154 ≥ 12x

12.833.... ≥ x

x ≤ 12.83