Which inquality is graft below?

Answer:

9 inches; 4.5 inches.

Step-by-step explanation:

Given the following data;

Length of sides of the equilateral triangle = 1.4x + 2 inches.

Length of sides of the hexagon = 0.5x + 2 inches.

We know that the perimeter of a hexagon is given by the formula;

P = 6 * length of sides

Substituting into the equation, we have;

P = 6*(0.5x + 2)

P = 3x + 12

Perimeter of an equilateral triangle is given by the formula;

P = 3 * length of sides

Substituting into the equation, we have;

P = 3(1.4x + 2)

P = 4.2x + 6

Since perimeter of hexagon = perimeter of equilateral triangle. Therefore;

3x + 12 = 4.2x + 6

Rearranging the equation, we have;

12 - 6 = 4.2x - 3x

6 = 1.2x

x = 6/1.2

x = 5

I. To find the length of each sides of the equilateral triangle;

Length of a side = 1.4x + 2

Substituting the value of "x" into the equation, we have;

Length of sides = 1.4*(5) + 2

Length of sides = 7 + 2

Length of sides = 9 inches.

II. To find the length of each sides of the hexagon;

Length of sides = 0.5x + 2

Substituting the value of "x" into the equation, we have;

Length of sides = 0.5*(5) + 2

Length of sides = 2.5 + 2

Length of sides = 4.5 inches.

The side length of the equilateral triangle 9 inches.

The side length of the hexagon 4.5 inches.

The side length of the equilateral triangle = 1.4x + 2

So, the perimeter = 3(1.4x + 2) = 4.2x + 6.

The side length of the hexagon = 0.5x + 2

So, the perimeter = 6(0.5x + 2) = 3x + 12.

Given tha the perimeters are equal.

So,

[tex]4.2x+6=3x+12\\4.2x-3x=12-6\\1.2x=6\\x=5[/tex]

Hence,

The side length of the equilateral triangle = 1.4x + 2 = 1.4(5) + 2 = 9

The side length of the hexagon = 0.5x + 2 = 0.5(5) + 2 = 4.5

Learn more: https://brainly.com/question/13532036

Answer:

x = 0, y = 2

Step-by-step explanation:

We can use substitution method to substitute 2y into 2x + 2y = 4.

-x + 2y = 4

2y = 4 + x --- Equation 1

2x + 2y = 4 --- Equation 2

Substitute Equation 1 into Equation 2:

2x + 2y = 4

2x + 4 + x = 4

3x + 4 = 4

Isolate 3x.

3x = 4-4

    = 0

Find x.

x = 0 ÷ 3

x = 0

Substitute x = 0 into Equation 1:

2y = 4 + x

2y = 4 + 0

    = 4

Find y.

y = 4 ÷ 2

y = 2

Answer: False

Step-by-step explanation:

Hey there! 7b + 14b = 5 would equal 21b + 5 after you add 7b + 14b.

21b = 5 is false because it doesn't match with 5.

If the answer was true then it would be 5 = 5.

~I hope I helped :)~

The beach volleyball court, which accomodates teams of two players to each side, is slightly larger that its traditional counterpart, measuring 16 meters (52 feet, six inches) long and eight meters (26 feet, three inches) wide.

Answer:

The second one is 70 for sure since 80% of 70 is 56.

The first one would just be 17r. You cannot get a number answer since time formula involves three variables and there is only 1 given variable.

Answer:

a)17 min(i am not sure)

b) 80/100 = 56/x

cross multiply

5600 = 80x

x = 5600/80

x = 70

ans 70 miles

Answer:

L'(6,8)

Step-by-step explanation:

If i had to take a guess what i would is subtract 4 from each x number and add 3 to each y number and then reflect over the line y=4 so then that would give me each distance. And by the looks it seems L'(6,8) is the farthest from he origin (0,0)

Answer:

6.28 or 7

Step-by-step explanation:

you have to time pie x inches

pie x inches

3.14 x 2

=6.28 rounded up 7

Answer:

$168.56

Step-by-step explanation:

Answer:168.56

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

1/3 ÷ 2 = 1/6

All you do is multiply the denominator by 2. This sounds incorrect, but my making the denominator lager it actually is shrinking the fraction and ultimately making it smaller than before.

Answer:

1/3÷2=1/6

Result in decimals: 0.16666666666667

Answer:

She can buy 36

Step-by-step explanation:

9514 1404 393

Answer:

  m∠ABC = 81°

  m∠FEC = 90°

Step-by-step explanation:

The median BE of isosceles triangle ABC is also an altitude and the angle bisector of ∠ABC. This means ...

  m∠ABC = 2×m∠ABE = 2(40°30')

  m∠ABC = 81°

It also means that all of the angles at the intersection of BF and AC are right angles, so ...

  m∠FEC = 90°

Answer:

t ≤ 4.5

Step-by-step explanation:

We are told that the goal is to walk at least 18 miles

She walks at a rate of 4 miles per hour, speed is 4mph

Required

the inequality for the time taken to walk the distance and the said speed

Step two:

we know that

speed= distance/time

time=distance/speed

substitute

time= 18/4

time= 4.5 hours

Time≤ 4.5 hours

Answer:

770762

Step-by-step explanation:

Answer:

$770,762

Step-by-step explanation:

Multiply the numbers of chairs (26,578) by $29

Total $770, 762

Answer:

Height in w week = 12 + 2w

Step-by-step explanation:

Given:

Height of plant = 12 cm

Rate of plant growth = 2 cm per week

Find:

Equation

Computation:

Height in w week = Height of plant + (Rate of plant growth)(Number of week)

Height in w week = 12 + (2)(w)

Height in w week = 12 + 2w

Answer:

did you figure out the answer I'm sorry they don't have a comment section on ur photo

Answer:

P(Gum) ≠ P(Gum/Cavity)

Step-by-step explanation:

Answer on Edge

Answer:

B

Step-by-step explanation:

÷eeeeeeeeeeeeeeeeeee

Answer:

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

Step-by-step explanation:

Answer: OMG MY HERO ACADEMIA I LOVE YOUR PROFILE PICTURE!!!!!!!!!

Step-by-step explanation: Thanks for the points!!!! :)

Step-by-step explanation:

-1 - root3

The value of the given expression 2cos2(105⁰) − 1 is,

⇒ - 1 - √3

A right-angled triangle's angle can be related to side length ratios using trigonometric functions, which are real functions in mathematics. They are extensively used in all geosciences, including navigation, solid mechanics, celestial mechanics, geodesy, and many others.

We have to find the value of;

⇒ 2cos2(105⁰) − 1

Now, We can Plug 105° = θ

So, the expression becomes,

⇒ 2cos2θ - 1

Using the formula;

cos2θ = 1 - 2sin^2θ

We get;

⇒ 2cos2θ - 1 = 2(1-2sin^2θ) - 1

                    = 2 - 4sin^2θ - 1

⇒ 2cos2θ - 1 = 1 - 4sin^2θ

Now, Again plug θ = 105°

⇒ 2cos2(105°) - 1  = 1 - 4sin¹⁰⁵

⇒ 2cos2(105°) - 1  = -1 - √3

Hence, The value of the given expression is,

⇒ (-1 - √3)

Learn more about trigonometric function visit:

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#SPJ3

Answer:

Pedro had a gain of 1.2%

Step-by-step explanation:

Percentages

Pedro bought two cars. One for $600,000 and the other for $400,000.

He sold the first car at a 10% profit. Thus the gain was:

$600,000 * 10 / 100 = $60,000

He sold the other car at a 12% loss. Thus the loss was:

$400,000 * 12 / 100 = $48,000

The total gain or loss was $60,000 - $48,000 = $12,000

Since it's positive, the total balance is at gain.

The total investment was $600,000 + $400,000 = $1,000,000

The total gain is a percentage of the total investment of:

$12,000 / $1,000,000 * 100 = 1.2%

Pedro had a gain of 1.2%

Answer:

k

Step-by-step explanation:

k=k

Answer: ummmmmm bow tie cinamas

Step-by-step explanation: yw:))

Answer:

Step-by-step explanation:

The right statistical procedure is by applying a hypothesis test that uses a single mean. Here, if we are to talk about comparison, it should be between the mean IQ of the students in the class and the national average IQ. The class is not for a comparison between two population means because it is viewed as the sample of the population. That is to say, the required task is to determine if the sample mean is greater than the population mean. We can conclude that this obeys a hypothesis test rather than a confidence interval.

Answer:

The game system is 145, and the games cost 435.

Step-by-step explanation:

4x = 580

580/4=145

145x3=435 which is the cost of the games.

145 is the cost of the game system.

Answer:

if I'm correct, it should be 6.125. I'm sorry if I'm wrong,

Step-by-step explanation:

take 3.5 and divide it by 4, which gives you the amount for 1 lemon. times that by 7, and you get 6.125

Answer:

8 lemons

Step-by-step explanation:

7- 3.5= 3.5

Therefore we multiple 3.5 by 2.

We always do the same on the other side.

4 times 2 equals 8

7 liters of water: 8 lemons

Answer:

Step 1: Solve one of the equations for one of the variables. Let's solve the first equation for x

Thus, option A) is true.

The solution to the system of equations be:

[tex]x = 4, y = 5[/tex]

Step-by-step explanation:

It is important to remember that when we solve the system of equations, the first step we need to do is to solve one of the equations for one of the variables.

Given the system of equations

[tex]x - y = -1[/tex]

[tex]2x - y = 3[/tex]

Step 1: Solve one of the equations for one of the variables. Let's solve the first equation for x

[tex]x-y=-1[/tex]

Add y to both sides

[tex]x-y+y=-1+y[/tex]

[tex]x=-1+y[/tex]

Thus, option A) is true.

NOW LET US SOLVE THE REMAINING PORTION

[tex]\mathrm{Subsititute\:}x=-1+y[/tex] to solve for y

[tex]\begin{bmatrix}2\left(-1+y\right)-y=3\end{bmatrix}[/tex]

[tex]-2+y=3[/tex]

[tex]y=5[/tex]

For x = -1 + y

substitute y = 5

[tex]x=-1+5[/tex]

[tex]x=4[/tex]

Thus, the solution to the system of equations be:

[tex]x = 4, y = 5[/tex]