What is the simplest form of 2 square root 3 / square root 6
A. square root 2
B. square root 3
c. 3 square root 2
D. 2 square root 3

Answer:

90 in²

shoebox:

Another shoebox:

====================

[tex]\sf (\dfrac{area1}{area2})^3 = (\dfrac{volume1}{volume2} )^2[/tex]

====================

[tex]\sf \hookrightarrow (\dfrac{x}{160})^3 = (\dfrac{27}{64} )^2[/tex]

[tex]\sf \hookrightarrow \dfrac{x^3}{160^3} = \dfrac{27^2}{64^2}[/tex]

[tex]\sf \hookrightarrow \ x^3 = \dfrac{729*4096000}{4096}[/tex]

[tex]\sf \hookrightarrow \ x^3 = 729000[/tex]

[tex]\sf \hookrightarrow \ x = \sqrt[3]{729000}[/tex]

[tex]\sf \hookrightarrow \ x = 90[/tex]

The left out number is 12 if the  average (mean) of five numbers is 8. If one of the numbers is left out, the average of the remaining numbers is 7 option (D) is correct.

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

Let's suppose the number of sum is x when mean is 8

[tex]\rm \dfrac{x}{5} = 8[/tex]

x = 40

Now one number is left out, mean become 7 let's suppose the sum is y.

[tex]\rm \dfrac{y}{4} = 7[/tex]

y = 28

So, the number = 40 - 28 = 12

Thus, the left out number is 12 if the  average (mean) of five numbers is 8. If one of the numbers is left out, the average of the remaining numbers is 7 option (D) is correct.

Learn more about the mean here:

https://brainly.com/question/22871228

#SPJ1

Answer:

Step-by-step explanation:

The height of the tree to the nearest hundredth of a meter is 1.875 meters.

Given that:

Khalil is 1.65 meters tall. At 3 p.m., he measures the length of a tree's shadow to be 34.55 meters. He stands 30.4 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow.

Let h be the height of khalil h = 1.65 , H be the tree height , L be the length of the tree's shadow L = 34.55 and l be the length of khalil shadow l = 30.4

Using equivalent ratios of heights:

h : H = l : L

H : 1.65 = 34.55 : 30.4

H/1.65 = 34.55/30.4

H = 34.55/30.4 * 1.65

on solving

H = 1.875 meters which is tree height

Therefore the height of the tree to the nearest hundredth of a meter is 1.875 meters.

Learn more about the height of the tree and shadow here:

https://brainly.com/question/17138922

#SPJ1

Answer:

So, we can check step by step.

2x^2-7x+5=0

So, 2x^2-2x-5x+5=0 is correct

2x(x-1)=2x^2-2x, 5(x-1)=-5x + 5= 0, that step is correct

(I'll skip the next step)

2x-5=0,

2x=5

x=5/2, NOT 2/5

The other one is correct

Sorry if this seems a bit vague!

[tex]\\ \rm\Rrightarrow 2x^2-7x+5=0[/tex]

[tex]\\ \rm\Rrightarrow 2x^2-2x-5x+5=0[/tex]

[tex]\\ \rm\Rrightarrow 2x(x-1)-5(x-1)=0[/tex]

[tex]\\ \rm\Rrightarrow (2x-5)(x-1)=0[/tex]

[tex]\\ \rm\Rrightarrow x=5/2,1[/tex]

Lauren written 2/5 instead of 5/2

Let's verify once more

Answer:

(x+2)^2 + (y-4)^2 = 4^2

Step-by-step explanation:

A circle is x^2 + y^2 = 1 , where r = 1

The radius of that circle looks to appear to be r = 4.

x^2 + y^2 = 4^2

Transition that circle origin from (0,0) to (-2,4)

The origin is (-2,4) which mean h = -2 left and k = 4 up.

(x-h)^2 + (y-k)^2 = 4^2

(x-(-2))^2 + (y-4)^2 =4^2

Answer:

slope: 1/3

Explanation:

[tex]\sf \boxed{\sf slope: \sf \frac{y_2-y_1}{x_2-x_1} }[/tex]    where (x1, y1), (x2, y2)

Solve for slope:

insert values

[tex]\rightarrow \sf \dfrac{2-0}{3-(-3)}[/tex]

remove brackets

[tex]\rightarrow \sf \dfrac{2}{3+3}[/tex]

simplify

[tex]\rightarrow \sf \dfrac{2}{6}[/tex]

final answer

[tex]\rightarrow \sf \dfrac{1}{3}[/tex]

Answer:

the slope of the line passing through (-3,0) (3,2) is 1/3

Step-by-step explanation:

Slope is equal to the change in y over the change in x, or rise over run. m=change in y/change in x. The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise). m=y2-y1/x2-x1. Substitute in the values of x and y into the equation to find the slope. m=2−(0)3−(−3)m=2-(0)3-(-3) Simplify. m=13

Answer:

I think the modes are: 20 ,18 and 19

Answer: connotation

Step-by-step explanation: everything that a phrase or item implies: the comfort connotations that surrounded that old chair.

Answer:

1- 34,000 Millimeters in 34 meters

2- 50 Millimeters in 5 Cm

3- 6mm is already in milimeter form

Step-by-step explanation:

1000 Millimeters are in 1 meter so 34,000 millimeters are in 34 meters

10 millimeters are in 1 CM, so 50 millimeters make up 5 cm

Answer:

34m=34x10³mm=34000mm

5cm=5x10mm=50mm

6mm=6mm

In the equation, 1/6 represents the constant of proportionality.

If a person weighs 60 kg on earth, the person would weigh 10kg ont he moon.

The equation that represents inverse proportion is: m = ke

Where:

If k is 1/6 and e is 60kg,

m = 1/6 x 60 = 10kg

To learn more about inverse proportion, please check: https://brainly.com/question/20391784

Answer:

The answer is

→ 18:32

Step-by-step explanation:

The total number of students in the class is 32 students. 3 boys and 5 girls. But wait! Were not done yet.

Boys:

3 x 4 = 12

or

3 + 3 + 3 + 3 = 12

Girls:

4 + 4 + 4 + 4 + 4 = 20

or

4 x 5 = 20

20 + 12 = 32

Hope this helped! :^)

- ✨7272033Alt✨

Answer:

To find a probability Multiply two independent events.

The system of equations that describes the situation is given by these two following equations:

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are c and x.

Carlos has 10 more friends than Xavier when they start the competition, hence:

c = 10 + x.

Carlos doubles his amount of friends and Xavier triples his. In the end they have a total of 160 friends, hence:

2c + 3x = 160.

More can be learned about a system of equations at https://brainly.com/question/24342899

Answer:

Corral 4

Step-by-step explanation:

we need to divide  the area of the corral by the Number of animals In order To know the dedicated  space for each animal

Corral 1 :

(50×40)÷110 = 18.181818181818 < 20

Then it doesn’t meet the requirements.

Corral 2 :

(60×35)÷115 = 18.260869565217 < 20

Then it doesn’t meet the requirements

Corral 3 :

(55×45)÷125 = 19.8 < 20

Then it doesn’t meet the requirements

Corral 4 :

(65×40)÷130 = 20

Then It meets the requirements

Answer:

-9,4

Step-by-step explanation:

Answer:

12 days

Step-by-step explanation:

Answer:

A:)

Step-by-step explanation:

l and lll

Answer:

= -0.5

Step-by-step explanation:

Slope:

(y2-y1/x2-x1)

Plug in:

(0,1), (-2,2)

2-1/-2-0

-1/2

= -0.5

The ratio of the area of triangle AEC and area of triangle BCD is 21:14 if the A, B and C are points on the line 2x+y=8

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have line;

2x+y=8

x/4 + y/8 = 1

Coordinate for A(4, 0) and B(0, 8)

To find the coordinate C we will use external section formula:

Let (a, c) be a coordinate for C

AB : BC = 2:1

AC:BC = 3:1  

[tex]\rm C(a, b) =( \dfrac{-4}{3-1}, \ \dfrac{24}{3-1})[/tex]

C(a, b) = (-2, 12)

Let coordinate for E(0, e) and for D(f, 0)

EC:DC=1:2 and C(-2, 12)

So after applying section formula, we will get:

E(0, -3) and D(0, 36)

Area of triangle AEC = (1/2)(7)(12) = 42 square units

Area of triangle BCD = (1/2)(28)(2) = 28 square units

ratio of area of triangle AEC : area of triangle BCD = 42:28

= 21:14

Thus, the ratio of the area of triangle AEC and area of triangle BCD is 21:14 if the A, B and C are points on the line 2x+y=8

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

Answer:

A. a transformation that either reduces or enlarges an object in the coordinate plane

Step-by-step explanation:

The definition of dilation is the size of an object/shape by increasing/ decreasing its dimensions by scaling factors.

Dialtions do not flip and object, spin it, or slide it. It's dimensions are either enlarged, or reduced. Therefore, option A makes the most sense.

Answer:

4

Step-by-step explanation:

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

Answer: 4

Step-by-step explanation:

Slope is rise over run, which is the change in the y-values divided by the change in the x-values. Each point is given as a coordinate pair: (x,y).

For point Q (4,1) the y-value is 1 and the x-value is 4.

For point X (5,5), the y-value is 5 and the x-value is 5.

To find the slope, take the y-value for point X minus the y-value for point Q. That is the numerator of your slope. Then take the x-value for point X minus the x-value for point Q. That is the denominator of your slope.

The numerator divided by the denominator equals the slope.

(5-1)/(5-4) = (4)/(1) = 4

Answer:

70 degrees

Step-by-step explanation:

rectange angle total = 360

1 corner = 90

90-20 = 70

Answer:

~Lord

The magnitude of the degree in a circle is. there are 5 angels in a circle

measure of each angle:

so measure of each angle is 72°

Step-by-step explanation:

As Per Provided Information

Number of sector in given circle is 5

As we know sum of all angles in a circle at centre is 360° .

Since number of sector is given and we are asked to find the measure of each angle in given circle .

[tex] \huge{ \boxed{\sf \: Angle_{(Circle)} = \cfrac{360}{ \: number \: of \: sector}}}[/tex]

Now put the value in above equation and we obtain

[tex] \longrightarrow\sf \: Angle_{(Circle)} = \cfrac{360}{5} \\ \\ \\ \longrightarrow\sf \: Angle_{(Circle)} = \cancel \dfrac{360}{5} \\ \\ \\ \longrightarrow\sf \: Angle_{(Circle)} = {72}^{ \circ} [/tex]

Therefore,

Answer:

11x+60° =93

11x =93-60

x=33/11

x=3

z+93 = 180 (being angles in st. line)

z=180-93

z= 87

Answer:

x=3

z=87

Step-by-step explanation:

Using the vertical angles rule, we can set 11x+60=93, solve for x:

[tex]11x+60=93\\11x=33\\x=3[/tex]

Since two angles on a line add up to 180, we can find z by setting 180=z+93, solve for z:

[tex]180=93+z\\87=z[/tex]

Answer:

As Per Provided Information

We have been asked to determine the slant height of the cone .

Formula used to calculate the lateral area of a cone is

[tex] \boxed{\bf \: \purple{ Lateral \: Area _{(Cone)} \: = \pi\:rl}}[/tex]

here

l denote slant height

r denote radius

Substituting the value we obtain

[tex] \longrightarrow\tt \: 9.81 = 3.14 \times 1.4 \times l \\ \\ \\ \longrightarrow\tt \:9.81 = 4.396 \times l \\ \\ \\ \longrightarrow\tt \: \cfrac{9.81}{4.396} = l \\ \\ \\ \longrightarrow\tt \: \: l \: = \cfrac{9.81}{4.396} \\ \\ \\ \longrightarrow\tt \: \: l \: = \cancel\cfrac{9.81}{4.396} \\ \\ \\ \longrightarrow\tt \: \: l \: = 2.23 \:inch \: \: (approx)[/tex]

Therefore,

Answer: 36 degrees

Step-by-step explanation:

Answer:

Step-by-step explanation:

The hour hand is 20 mm and the minute hand is

The tip of the hour hand travels 1/12 of the circle and the tip of the minute hand travels full circle in one hour.

Find each length and their difference using circumference formula.

Hour hand

Minute hand

The difference between the two above

Answer:

230.38 mm

Step-by-step explanation:

The distance traveled by the tip of the hands is (part of) the circumference of the circle with radius of the lengths of the hands.

[tex]\textsf{Circumference of a circle}=\sf 2 \pi r\quad\textsf{(where r is the radius)}[/tex]

Radii

Larger circle (minute hand):  

Smaller circle (hour hand):

Minute Hand

The minute hand does a full rotation of the circle in one hour.

Therefore, the distance it travels in one hour is the complete circumference of a circle with radius 40 mm:

[tex]\begin{aligned} \implies \textsf{Distance minute hand travels} & = \sf 2 \pi (40)\\ & = \sf 80 \pi \: mm\end{aligned}[/tex]

Hour Hand

There are 12 numbers on a clock.

The hour hand travels from one number to the next in one hour.

Therefore, the distance it travels in one hour is 1/12th of the circumference of the circle:

[tex]\begin{aligned}\implies \sf \textsf{Distance hour hand travels} & =\left(\dfrac{1}{12}\right)2 \pi r\\ & = \sf \left(\dfrac{1}{12}\right)2 \pi (40)\\& = \sf \dfrac{20}{3}\pi \: mm \end{aligned}[/tex]

To find how much farther the tip of the minute hand moves than the tip of the hour hand, subtract the latter from the former:

[tex]\begin{aligned}\implies \textsf{distance} & = \textsf{minute hand distance}-\textsf{hour hand distance}\\& = \sf 80 \pi - \dfrac{20}{3} \pi \\& = \sf \dfrac{220}{3} \pi \\& = \sf 230.38\: mm \:(nearest\:hundredth) \end{aligned}[/tex]

Answer: Below

Step-by-step explanation:

We know that water must be three times flour, so our end goal is 12 cups of water, since 4 * 3 = 12.

We already have 2.5 and 4, so we make the equation:

2.5 + x = 12

Simplify.

x = 7.5

Our answer is 7.5

Step-by-step explanation:

372×2

Hence fill In this order

3 2 2