Evaluation the following:

A.
[tex] \sqrt{ \frac{32 {y}^{2} }{72 {x}^{2} } } [/tex]
B.
[tex] \sqrt[3]{ \frac{125 {m}^{3} }{36 {m}^{2} } } [/tex]
C. if
[tex] x1 = 2 \: and \: x2 = 1 \\ and \: y1 = 3 \: and \: y2 = - 1[/tex]
then find the value of :
[tex] \sqrt{ \frac{x2}{y2} - \frac{y2}{x2} } [/tex]
​

Answer:

Well in order to solve these you can convert them into improper fractions.

So 11/5 + 11/6

Now to find the CM or someone multiple

So 5 and 6 have a common multiple of 30

So

66/30 + 55/30= 121/30

Now in mixed form

4 1/30

Answer:

4 1/30

Step-by-step explanation:

6/30+25/30 --> 6+25=31 --> 31/30

2+1=3

3+31/30=3 31/30= 4 1/30

Answer:

108 ÷ 9 = 12

Step-by-step explanation:

Answer:

0.083333333333333

Step-by-step explanation:

Step-by-step explanation:

28 / 4 = 7

7 + 3 = 10

so, 10 is your answer

Answer:

Step-by-step explanation:

28 ÷ 4 = 7

7 + 3= 10

Answer:The area of a circle with radius 0.2865 is 0.2579

Step-by-step explanation: Area of a circle in terms of radius:

Area = π·r2 = 3.14·0.292 = 0.26 square meters(*)

Area of a circle in terms of diameter:

Area = π·(d

2

)2 = 3.14·(0.57

2

)2 = 3.14·(0.29)2 = 0.26 square meters(*)

Area of a circle in terms of circumference:

Area = C2

4π

= 1.82

4π

= 3.24

(4·3.14)

= 3.24

12.56

= 0.26 square meters(*)

The circumference of circle is 5.652m.

The circumference of a circle is its boundary or the length of the complete arc of a circle.

The formula for the circumference of a circle is expressed using the radius 'r' of the circle and the value of 'pi'. It is expressed as, Circumference of a circle formula = 2πr. While using this circumference formula, if we do not have the value of the radius, we can find it using the diameter.

For example:

If the radius of the circle is 25 units, find the circumference of the circle. (Take π = 3.14)

Solution: Given, radius = 25 units

Let us write the circumference formula and then we will substitute the value of r (radius) in it.

Circumference of circle formula = 2πr

C = 2 × π × 25

C = 2 × 3.14 × 25 = 157 units

Therefore, the circumference of a circle is 157 units.

Given:

diameter= 1.8 m

radius= 0.9m

Now, Circumference of circle

=2πr

= 2* 3.14 * 0.9

= 5.652 m

Hence, the circumference of circle is 5.652m.

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Answer:

7.6x−1

Step-by-step explanation:

Expand by distributing terms

−7−1.2x+6+8.8x

Collect like terms.

(−7+6)+(−1.2x+8.8x)

Simplify

−1+7.6x

Regroup terms.

7.6x−1

Answer:

h = -2

Step-by-step explanation:

1. Simplify the left hand side: 8h = -16

2. DIvide both sides by 8: h = -16 ÷ 8 = -2

Hope this helps!

Answer:

ℎ = − 1 6 /7

Step-by-step explanation:

Step 1: Combine like terms.

ℎ − 8 ℎ + 1 9 ℎ − 5 ℎ = − 1 6

7 ℎ = − 1 6

Step 2: Divide both sides of the equation by the same term.

7 ℎ = − 1 6

7ℎ/7=−16/7

Step 3: Simplify

ℎ=−16/ 7 = Answer

Answer:

15

Step-by-step explanation:

Answer:

D. 1/(3^8)

Step-by-step explanation:

^^^This is the answer

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I will be helping you today, I hope you are having a nice day!

We can solve this in two steps, Comprehension and Solving. I'll go ahead and start with Comprehension.

If you have any questions feel free to ask away!!

Comprehension

We know according to the laws of geometry that all angles in a triangle add up to 180 degrees.

We also know that in an isosceles angle, the base angles are equation to each other.

Now that we know what we need to know, we can setup an equation.

[tex]2x-6+(2x)=180[/tex]

We can do this because first of all, we know that 2x-6 is one of the angles and as per the base angles of an isosceles triangle we know that both base angles are x, therefore we can add 2x to get 180 degrees.

I'll start solving now.

Solving

We can solve this by using the equation we made above and solving it with algebra.

[tex]2x-6+2x=180\\4x-6=180\\4x=186\\x=46.5[/tex]

We know that x is equal to 46.5 degrees. We can check that by inputting it into the equation.

[tex]2(46.5)-6+2(46.5)=180?\\4(46.5)=186?\\46.5=46.5[/tex]

We've proven that our answer is correct by double checking,

Therefore the answer is 46.5!

Cheers!

Here is ur perfect answer

Answer:

51/12 - 23/4

find the LCM of 12 and 4

51-69/12= -18/12= -9/6 = -3/2 = -1.5

Answer:

80.22

Step-by-step explanation:

9514 1404 393

Answer:

  AE = CE = 12 in

Step-by-step explanation:

Angles BDF and BCF are base angles of their respective isosceles triangles. That means the a.pex angle of each, DBF and ABC respectively is ...

  180° -2×30° = 120°

In your diagram, BC is 120° from the -x axis, so is 60° from the +x axis. It bisects the angle DBE. Similarly, BE is 120° from the +x axis, so is 60° from the -x axis. It bisects angle ABC. In an isosceles triangle, the a.pex angle bisector is an altitude and is the perpendicular bisector of the base segment. Any point on that line is equidistant from the base vertices.

Point C lies on the perpendicular bisector of DE, so CD ≅ CE = 12 in.

Point E lies on the perpendicular bisector of AC, so EC ≅ EA = 12 in.

The measurements of interest are ...

  AE = CE = 12 in.

_____

Additional comment

Point F serves no purpose except to confuse the issue. Each of the angles that reference point F could be described equally well using a different point:

  ∠BDF = ∠BDE

  ∠BCF = ∠BCA

This makes it more obvious that the triangles of interest are similar.

Answer:

12

12

Step-by-step explanation:

see the below figure

i got that both triangles are similar

we get that in triangle ABC angle BCF is 30

so angle A is also 30 (isosceles)

so the remaining angle ABC is 120

and angle CBD becomes 180 - 120 = 60

now in triangle BDE angle BDF is 30

so angle BED is also 30

now angle EBC becomes 120 - angle CBD = 120 - 60

and got angles ABE EBC CBD as 60 each

so three 60 degree angles are formed at vertex B as shown in the figure

 tw0 30 30 120 degree triangles are similar

BC becomes perpendicular angular bisector of ED

C is a point on that line which is at equal distance from the base vertices

so CD = CE = 12

here BE is perpendicular bisector of AC

so AE = EC = 12    

Answer:

B. -111

Step-by-step explanation:

y = -4x^2 - 3x + 4

x = 5

y = -4(5)^2 - 3(5) + 4

y = -4(25) - 15 + 4

y = -100 - 15 + 4

y = -111

...............................................................................................................................................

Please, write -4x^2 (not 04x2).

Then the quadratic model is y = -4x^2 - 3x + 4.

Now substitute 5 for x:  y(5) = -4 (5)^2 - 3(5) + 4

Simplifying,                     y(5) = -4(25) - 15 + 4 = -100 - 11 = -111.

Answer:

It would be 41+66x

Step-by-step explanation:

Answer:

answer is 746.

have a nice day and do good in math

There are 123 Asians, 25 Africans, 21 Europeans and 8 Americans in the village.

To determine the number of Asians, Africans, Europeans, and Americans in the village, the following calculation must be performed:

Therefore, there are 123 Asians, 25 Africans, 21 Europeans and 8 Americans in the village.

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Answer:

the answer is 7

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

Answer:

No

yes

No

Step-by-step explanation:

yes it is a scalene triangle

the area of the triangle is 28.5

Answer:

b = 1

Step-by-step explanation:

Answer: 6.087 tablespoons. or rounded to nearest whole, 6

Step-by-step explanation:

I just know

The range for the relation 12x + 6y= 247 is,

Range = {49.17, 41.17, 31.17}

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The function is,

⇒ 12x + 6y = 247

Now,

We have;

The domain is, {-4,0,5)

Hence, The range of the function is find as;

Put x = - 4;

⇒ 12x + 6y = 247

⇒ 12 × - 4 + 6y = 247

⇒ - 48 + 6y = 247

⇒ 6y = 247 + 48

⇒ 6y = 295

⇒ y = 49.17

Put x = 0;

⇒ 12x + 6y = 247

⇒ 0 + 6y = 247

⇒ 6y = 247

⇒ y = 41.17

Put x = 5;

⇒ 12x + 6y = 247

⇒ 60 + 6y = 247

⇒ 6y = 247 - 60

⇒ 6y = 187

⇒ y = 31.17

Thus, The range for the relation 12x + 6y= 247 is,

Range = {49.17, 41.17, 31.17}

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Answer:

x is 3

Step-by-step explanation:

-2x is -6

2x is 6

x is 3

Answer:

X=3

Step-by-step explanation:

-4(3)=-12

-12-5=-17

2(3)=6

-17+6=-11

Answer:

7 and 9

Step-by-step explanation:

4/3÷1/6 = 4/3 × 6/1

= 8

So the value of p falls between the range of 7 and 9

Answer:

The value is 8500

Step-by-step explanation:

Of means multiply and is means equals

6% * V = 510

Change percent to decimal form

.06V = 510

Divide each side by .06

V = 510/.06

V =8500

Answer:

9

(6 ÷ 100) 150

6÷2×3

9

ans 9

Answer: 18,750

Step-by-step explanation: First you divide 80 by 100, getting .80. Then you divide 15,000 by .8, getting 18,750 cars.

Answer:

Both Prince and swallow were alike because both were kind, fully sympathy for the needy and suffering people. Both gave all which was there with them. the swallow gave his own life by carrying out all the errands commanded by the Prince.

Step-by-step explanation: