Celeste rides her bike to work, averaging 12 miles per hour. On her way home she averages 8 miles per hour. If the total trip takes one hour, how far does she live from her work? Fill out the Rate column in the table below.

Not mutually exclusive.  If a triangle is equilateral, it is also equiangular.

Which of these triangles has equal sides?

Any two sides that are equal have equal opposite angles since every equilateral triangle is likewise an isosceles triangle.

As a result, because an equilateral triangle has equal lengths on each of its three sides, its three angles are also equal.

As a result, every equiangular triangle is an equilateral triangle.

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Answer:

Area of a trapezium = 1 (a+b)h

2

A = 1 (6+21) × 8

2

A = 1 × 27 × 8

2

A = 27 × 4

A = 108

Two vectors, one of the length 490 and uncertain direction, and the other 50 in the direction southeast.

In what direction should the plane head to end up going due east?

Two vectors, one of the length 490 and uncertain direction, and the other 50 in the direction southeast.

From the diagram, we can deduce that the y component of the wind is [tex]\frac{50}{\sqrt{2} }[/tex].

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Answer:

x>5

Step-by-step explain

+3 to 7

divide 2 from ten

Answer:

n = 8

Step-by-step explanation:

any term in a Fibonnacci sequence is found by adding the previous 2 terms.

that is x₃ = x₁ + x₂

using this to continue the sequence

1, 1, 2, 3, 5, 8, 13, 21, 34, 55 with a₁₀ = 55

so

x₈ + x₉ = x₁₀

compare to [tex]x_{n}[/tex] + [tex]x_{n+1}[/tex] = 55

with n = 8

Answer:

7778107864

Step-by-step explanation:

The equation of the line shown is y = x + 1

The graph represents the given parameter

On the graph, we have the following points

(x, y) = (0, 1) and (1, 2)

The equation of the line is then calculated as

y = (y2 - y1)/(x2 - x1) * (x - x1) + y1

This gives

y = (2 - 1)/(1 - 0) * (x -0) + 1

Evaluate the difference

y = 1/1 * (x) + 1

Evaluate the product

y = x + 1

Hence, the equation of the line shown is y = x + 1

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The statement is sometimes true.

The given statement is ' The geometric mean for two positive integers is another integer.'

Geometric mean of two integers is the square root of their product.

If a and b are two integers, then geometric mean = [tex]\sqrt{ab}[/tex]

Its value need not be an integer always. In some cases the statement fails.

For example, let a = 3 and b = 6

Then geometric mean = [tex]\sqrt{3 \times 6} = \sqrt{18}[/tex] = 4.24, which is not an integer.

Now if a and b are equal numbers, we will get an integer as the geometric mean. Because then their product will be a perfect square and taking square root, we get the same number as the geometric mean.

Also consider a = 9 and b = 4

Then their geometric mean = [tex]\sqrt{36}[/tex] = 6

So sometimes the statement is true but not always.

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The probability that they would spell TRAINS is 1/720.

Probability:

Probability refers the fraction of favorable event by the total number of event.

Given,

A bag contains one tile for each letter of the word TRAINS.

Here we need to find If we selected a permutation of these letters at random, what is the probability that they would spell TRAINS.

We know that,

There are 6 letters in the word and the number of arrangements is the permutation of 6 taken 6 at a time.

So, it is written in permutations as,

=> 6! = 720.

The total number of possible outcomes is 720 and there is only one favorable outcome which is TRAINS.

Therefore, the probability is written based on the formula as,

=> 1/720.

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There are 534 played games in total.

There are 24 teams, and each team plays 2 matches against each one of the other teams.

So, let's say that each team is called team 1, team 2, team 3, ..., team 24.

If we start with team 1, they will play 2 games with each one of the other 23 teams, so here we will have: 23*2 = 46 games.

Now we go to team 2, we already counted the 2 games that the played with team 1, so we only look at the remaining 22 teams, here we will have:

22*2 = 44 more games.

Now with team 3, there are 21 teams remaining, so here we add another 2*21 = 42 games

And so on, now we do that for all the teams and then add all the numbers of games, the total number of games will be given by:

N = 2*(23 + 22 + 21 + ... + 2 + 1) = 534

There are 534 played games in total.

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Answer:

8

Step-by-step explanation:

Use the Pythagorean theorem:

a^2+b^2=c^2

(You have to count the distance of x and y, then plug those number in the formula)

0^2+8^2=c^2

64=c^2

square root it

8=c

You can also use the distance formula

square root of (x2-x1)^2+(y1-y2)^2

square root of (-3-(-3))^2+(-2-(-10))^2

=8

(I'm pretty sure, if it's wrong I'm sorry)

the two horizontal lines are parallel and intersected by the same third line at the same angle

The final answer is 1/9

What is Simplify?
Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/ fraction / problem in a simpler form. It makes the problem easy with calculations and solving.

Given the question:

2/9 . 4/8

Let's start the calculation:

2/9 x 4/8

2/9 x 1/2

=1/9

So, The final answer is 1/9

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Probability that Julio will see the ad again during his favorite 30-minute sitcom the next day as ad replays at a random time in each 3 hours interval is 1/6.

As given,

Ad replays at a random time in each 3- hour interval

Julio will watch again during his favorite 30 minutes sitcom

Six times 30 minutes is equals to  3 hours

Ad can appear in any of the six slots of 30 minutes

Probability of watching ad again during his favorite 30 minutes sitcom

=1/6

Therefore, probability of watching ad again during his favorite 30 minutes sitcom is 1/6.

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The value of x and y given in this graph is

x = 75 degree

y = 110 degree

According to the given data,

x +10 +20 = 180 °

2x +30 = 180 °

2x = 150 °

x = 75 °

because line m ║ line n

so ∠OMP = x + 20 = 95 °

so in MONP = x + 10 + x + 20 +[tex]\int\limits^[/tex] +[tex]\int\limits^[/tex] - 40 = 360 °

                    ⇒ 180 +2 [tex]\int\limits^[/tex] - 40 = 360 °

                    ⇒  2 [tex]\int\limits^[/tex]- 40 = 180 degree

then we get the value of  [tex]\int\limits^[/tex] ,

                   ⇒ 2 [tex]\int\limits^[/tex] = 220 degree

                    ⇒  [tex]\int\limits^[/tex]= 110 °

Parallel lines can be defined as two lines in the same row or column that are at equal distance from each other and never touch or cross each other. They can be either horizontal or vertical.

We can see parallel lines in geometry, sides of various shapes are parallel to each other in it . Such as in the rectangle, the single arrow lines are parallel to each other, and similarly, we get the double arrow lines are also parallel to each other.

Parallel lines are show with a pair of vertical or horizontal lines between the mid part of the lines, using this sign: ︳︳

A transversal is a line that intersects two parallel lines (or lines of side) at different intersecting points, forming angles.

Parallel lines can be easily identified using the following basic properties and characteristics:

Parallel lines are always have straight lines with an equal distance between each other.

They are coplanar lines.

They never intersect, like transversal.

If there is a transversal line that show two parallel lines at two different points, it will structure 4 angles at each point.

The corresponding angles structured by the two parallel lines and a transversal are equal.

Linear equations are generally represents by the slope-intercept represented by the equation .

In Parallel lines where “m” is the slope, “b” is the y-intercept, and x and y are variables.

The value of “m” determines the slope and show the steep slope of the line.

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Answer:

-4.7

Step-by-step explanation:

25.85÷ -5.5

by changing the fraction to a decimal, just do regular long division

Answer: 16:35 16 bannas to 35 apples

Step-by-step explanation:

PLs mark brainlist

Answer:

8

Step-by-step explanation:

maths go brrrrrrrrrrr

-20

step by step explanation :

[tex] - 2( { - 6})^{2} - 5( - 6) + ( { - 6})^{2} + 4 + 3( - 6)[/tex]

[tex] - 72 + 30 + 36 + 4 - 18 = - 20[/tex]

The Geometric mean of 36 and 48 is [tex]24\sqrt{3}[/tex].

Geometric Mean between two numbers is defined as the Square root of the product of those two numbers .

For Example ; let a and b be two numbers , their geometric mean will be

GM=[tex]\sqrt{a*b}[/tex]

In the given question

a=36 and b=48

Substituting the values in the Geometric mean formula we get .

[tex]GM=\sqrt{36*48} \\ \\ =\sqrt{1728} \\ \\=24\sqrt{3}[/tex]

Therefore , the Geometric mean of 36 and 48 is [tex]24\sqrt{3}[/tex].

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y = 3.5x is the equation that represents y, the total number of hours Tonya works in x days if she continues at the given rate.

Unitary method is a concept in which the value of a single unit is first found out and then multiplied by the necessary value to get the required answer.

Here, we are given that Tonya works 3.5 hours in 1 day.

The total number of days = x

and the total number of hours Tonya works in x days = y

If she works for 3.5 hours in 1 day, in x days she will work-

x x 3.5

= 3.5x hours

Thus, y = 3.5x hours

Hence, y = 3.5x is the equation that represents Tonya's situation.

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Answer:

you got this question right

# follow me please

As a single inequality, we can write the solution of the given compound inequality as → x ≥ 8.

There are two types of inequalities -

Strict inequalities : The inequalities that have < or > symbol between the L.H.S and R.H.S.

Slack inequalities : The inequalities that have ≤ or ≥ symbol between the L.H.S and R.H.S.

Given in the question are two inequalities as mentioned below -

-2x - 3 < -1   and   -2x - 3 ≤ -11

In this question → -2x - 3 < -1 is a strict inequality and -2x - 3 ≤ -11 is a slack inequality. We will solve them one by one.

Inequality - 1

- 2x - 3 < - 1

Add 3 on both sides -

- 2x - 3 + 3 < - 1 + 3

- 2x < 2

Multiply by -1/2 on both sides -

x > - 1

Inequality - 2

-2x - 3 ≤ -11

Add 3 on both sides -

-2x ≤ -8

Multiply by -1 on both sides -

2x ≥ 8

Divide by 2 on both sides -

x ≥ 8

Now, we have two inequalities -

x > - 1    and     x ≥ 8

We can write it as one equality -

x ≥ 8

Therefore, as a single inequality, we can write the solution of the given compound inequality as → x ≥ 8.

[Graph is attached at the end]

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The standard form is y - 1/3x + 1 = 0 for line parallel to y=-3 x+4 through (0,-1)

To solve linear equations, utilize the steps that are provided below.

Lets take an example of solve z for 7z – (3z – 4) = 12

Here is no multiplication or division, so this will be easy to solve

⇒ 7z – (3z – 4) = 12

⇒ 7z – 3z + 4 = 12

⇒ 4z = 12 – 4

⇒ 4z = 8

⇒ z = 8/4

⇒ z = 2

See, that was so simple, using the mentioned methods, every linear equation can be solved easily.

In an equation, parallel lines have the opposite reciprocal slope. In other words, if a line's slope is a positive fraction, its reciprocal slope is negative.

Here given that  y=-3 x+4

Here -3 is the slope and 4 is the y-intercept

To find a parallel line to the following equation, use the opposite reciprocal slope and point, then solve using the point-slope formula.

y - y₁ = m(x - x₁)

We have, m = 1/3, x₁ = 0 and y₁ = -1

y - (-1) = 1/3(x - 0)

y + 1 = 1/3(x - 0

y = 1/3x -1

y - 1/3x + 1

We have the standard form y - 1/3x + 1 = 0 of a line  perpendicular to y = (2/3)x - 1 through (0,6)

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Answer:

0.02 = 2/100 = 1/50 (simplified answer)

Hope this helps :)

Explanation below.

Step-by-step explanation:

1. The 2 ends in the hundredths place, so we place that over 100.

0.02 = 2/100

2. 2/100 can be simplified with the Greatest Common Factor of 2 and 100 which is 2. So divide 2 on the numerator and denominator.

2/100 = 1/50

7 discs can he make from a metal post that measures 1/3 foot in length.

Using a tool with disks rather than teeth or shovels to cultivate or harrow the ground.

Samuel needs to make a 4/7-inch disc out of a foot is 4 inches

A metal post =1/3foot×(12 inch/1 foot)

= 12/3

=4

Samuel needs to make a 4/7inch disc out of1/3foot metal post.

One third of a foot is 4 inches

⇒4÷4/7

⇒ Is the same thing as

⇒4×7/4

The 4 cancel out so that’s how you get 7

⇒ 7

A moldboard or plow shovel that is occasionally used in place of a round, thin steel plate that is typically dished.

Therefore, Samuel cuts 4/7 discs of metal can be he make from a metal post that measure 1/3 foot in length is 7 discs.

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7 discs can he make from a metal post that measures 1/3 foot in length.

Using a tool with disks rather than teeth or shovels to cultivate or harrow the ground.

Samuel needs to make a 4/7-inch disc out of a foot is 4 inches

A metal post =1/3foot×(12 inch/1 foot)

= 12/3

=4

Samuel needs to make a 4/7inch disc out of1/3foot metal post.

One third of a foot is 4 inches

⇒4÷4/7

⇒ Is the same thing as

⇒4×7/4

The 4 cancel out so that’s how you get 7

⇒ 7

A moldboard or plow shovel that is occasionally used in place of a round, thin steel plate that is typically dished.

Therefore, Samuel cuts 4/7 discs of metal can be he make from a metal post that measure 1/3 foot in length is 7 discs.

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Answer:      8.1 g/cm  

Step-by-step explanation:

Density is equal to mass divided by volume. You are given a mass of

64.7

grams. You can find the volume of the cube by doing height multiplied by width multiplied by the depth.

Because all of the sides of a cube are the same length, the volume just ends up being

(2 cm) = 8 cm

Now plug both of those numbers into your density equation

p= m/v = 64.7 g/8 cm = 8.1 g/cm

~Hope this helps ;0~

Answer:

[tex]2.11 \: \: gram \: per \: cm {}^{3}[/tex]

The density is 2.11 g/cm^3

Step-by-step explanation:

Density is the ratio of the mass of a body per volume. To find density we need mass and volume.

side given (l) =6 cm

Volume of the cube = l^3

= 6^3

= 6 * 6 * 6

= 216 cm^3

we have mass = 457 g

Now,

density= mass/volume

= 457/216

=2.11

Soo, the density is 2.11 g/cm^3

Answer: S=93 m²

Step-by-step explanation:

Divide the figure into two rectangles:

1)

S=(3)(11+4)+(12)(4)

S=(3)(15)+48

S=45+48

S=93 m²

2)

S=(3)(11)+(4)(12+3)

S=33+(4)(15)

S=33+60

S=93 m²

5a= -1 a=

[tex]\frac{b}{-3} = -15 b=

-14+c = -12.5 c=

This is the explanation