what is the area of the figure​

Answer:

Total time taken by walking, running and cycling = 22 minutes.

Step-by-step explanation:

Let the speed of walking = x

As given,

The distance of walking = 1

Now,

As [tex]Time = \frac{Distance }{Speed}[/tex]

⇒ Time traveled by walking = [tex]\frac{1}{x}[/tex]

Now,

Given that - He runs twice as fast as he walks

⇒Speed of running = 2x

Also given distance traveled by running = 1

Time traveled by running = [tex]\frac{1}{2x}[/tex]

Now,

Given that - he cycles one and a half times as  fast as he runs.

⇒Speed of cycling =  [tex]\frac{3}{2}[/tex] (2x) = 3x

Also given distance traveled by cycling = 1

Time traveled by cycling = [tex]\frac{1}{3x}[/tex]

Now,

Total time traveled = Time traveled by walking + running + cycling

                                = [tex]\frac{1}{x}[/tex] +  [tex]\frac{1}{2x}[/tex] + [tex]\frac{1}{3x}[/tex]

                                = [tex]\frac{6+3+2}{6x} = \frac{11}{6x}[/tex]

If he cycled the three mile , then total time taken = [tex]\frac{1}{3x}[/tex] + [tex]\frac{1}{3x}[/tex] + [tex]\frac{1}{3x}[/tex] = x

Given,

He takes ten minutes longer than he would do if he cycled the three miles

⇒x + 10 = [tex]\frac{11}{6} x[/tex]

⇒[tex]x - \frac{11}{6} x = -10[/tex]

⇒[tex]-\frac{5}{6}x = -10[/tex]

⇒x = [tex]\frac{60}{5}[/tex] = 12

⇒x = 12

∴ we get

Total time traveled by walking + running + cycling = [tex]\frac{11}{6} x = \frac{11}{6} (12) = 11 (2) = 22[/tex] min

Complete Question:

The local Farm Market sells peppers at five for $2.25. Write an equation that relates the number of peppers, n, and the  cost, C.

Answer:

[tex]C = 0.45n[/tex]

Step-by-step explanation:

Given

[tex]5\ peppers = \$2.25[/tex]

Required

Determine the relationship between C and n

[tex]5\ peppers = \$2.25[/tex]

Divide both sides by 5, to get the cost of 1 pepper

[tex]\frac{5\ peppers}{5} = \frac{\$2.25}{5}[/tex]

[tex]1\ pepper = \frac{\$2.25}{5}[/tex]

[tex]1\ pepper = \$0.45[/tex]

Multiply both sides by n to get the cost of n pepper

[tex]n*1\ pepper = \$0.45*n[/tex]

[tex]n\ pepper = \$0.45n[/tex]

So, we have:

[tex]C = 0.45n[/tex]

Answer:

12 gallons of blue 4 gallons of yellow

Answer:

£36

Step-by-step explanation:

7-3=£9.60/4

4units=£9.60

1 u=£9.60÷4=£2.40

total units->5+3+7=15

15 units=15×£2.40=£36

Answer:

Step-by-step explanation:

x - 0.35x = (1 - 0.35)x

              = 0.65x

1.00 (-)

0.35

0.65

Answer:

see explanation

Step-by-step explanation:

(1)

The angle of inclination is the angle between the horizontal and the ramp.

Using the sine ratio in the right triangle formed by the ground and the ramp

let x be the angle of inclination, then

sinx = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{0.7}{4.2}[/tex] , then

x = [tex]sin^{-1}[/tex] ([tex]\frac{0.7}{4.2}[/tex] ) ≈ 10° ( to the nearest degree )

(2)

Again there is a right triangle between the ground and the vertical height of the kite, with hypotenuse being length of string.

let y be the height of the kite and x the horizontal distance, then

sin27° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{y}{176}[/tex] ( multiply both sides by 176 )

176 × sin27° = y , then

y ≈ 80m ( to the nearest metre ) ← height of kite

and

cos27° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{176}[/tex] ( multiply both sides by 176 )

176 × cos27° = x , then

x ≈ 157m ( to the nearest metre ) ← horizontal distance

Step-by-step explanation:

[tex]1)

The angle of inclination is the angle between the horizontal and the ramp.

Using the sine ratio in the right triangle formed by the ground and the ramp

let x be the angle of inclination, then

sinx = \frac{opposite}{hypotenuse}hypotenuseopposite = \frac{0.7}{4.2}4.20.7 , then

x = sin^{-1}sin−1 (\frac{0.7}{4.2}4.20.7 ) ≈ 10° ( to the nearest degree )

(2)

Again there is a right triangle between the ground and the vertical height of the kite, with hypotenuse being length of string.

let y be the height of the kite and x the horizontal distance, then

sin27° = \frac{opposite}{hypotenuse}hypotenuseopposite = \frac{y}{176}176y ( multiply both sides by 176 )

176 × sin27° = y , then

y ≈ 80m ( to the nearest metre ) ← height of kite

and

cos27° = \frac{adjacent}{hypotenuse}hypotenuseadjacent = \frac{x}{176}176x ( multiply both sides by 176 )

176 × cos27° = x , then

x ≈ 157m ( to the nearest metre ) ← horizontal distance

[/tex]

Answer:

3

Step-by-step explanation:

=6x-3(2x-1)

=6x-6x+3

=3 Answer

Answer:

0.3413 = 34.13% probability that the crew member earns between $20.50 and $24.00 per hour

Step-by-step explanation:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

A recent study of the hourly wages of maintenance crew members for major airlines showed that the mean hourly salary was $20.50, with a standard deviation of $3.50.

This means that [tex]\mu = 20.5, \sigma = 3.5[/tex]

a. Between $20.50 and $24.00 per hour

This is the pvalue of Z when X = 24 subtracted by the pvalue of Z when X = 20.5. So

X = 24

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{24 - 20.5}{3.5}[/tex]

[tex]Z = 1[/tex]

[tex]Z = 1[/tex] has a pvalue of 0.8413

X = 20.5

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{20.5 - 20.5}{3.5}[/tex]

[tex]Z = 0[/tex]

[tex]Z = 0[/tex] has a pvalue of 0.5

0.8413 - 0.5 = 0.3413

0.3413 = 34.13% probability that the crew member earns between $20.50 and $24.00 per hour

Answer:

2) distance = 4 km

Displacement = 4 km east

3) distance = 35 km

Displacement = 5 km north

Step-by-step explanation:

2. He runs for 3 km in the east direction and then stops.. He now runs another 1 km in the same direction then stops.. Thus,

Total distance covered = 3 + 1 = 4 km

Total displacement is how far he is from his starting point = 3 + 1 = 4 km east

3) Runs 20km north and then runs 15 km back from starting point.

Thus;

Total distance covered = 20 + 15 = 35 km

Total displacement is distance from starting point = 20 - 15 = 5 km north

Subtracted because an opposite direction was taken after the 20km back to her starting point.

Answer:

8

Step-by-step explanation:

bc hdibdjs

Answer in fraction form = 33/2

Answer in decimal form = 16.5

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

Work Shown:

n = some number

2n = twice that number

2n+3 = "sum of twice a number and 3"

[tex]\sqrt{2n+3}[/tex] = square root of the previous expression

The equation we need to solve is [tex]\sqrt{2n+3} = 6[/tex]

We'll follow PEMDAS in reverse, undoing each operation, to isolate n

[tex]\sqrt{2n+3} = 6\\\\\left(\sqrt{2n+3}\right)^2 = 6^2 \ \ \text{ ... square both sides}\\\\2n+3 = 36\\\\2n+3-3 = 36-3 \ \ \text{ ... subtract 3 from both sides}\\\\2n = 33\\\\\frac{2n}{2}=\frac{33}{2} \ \ \text{ ... divide both sides by 2}\\\\n = \frac{33}{2}\\\\n = 16.5[/tex]

Answer:

[tex]\frac{33}{2}[/tex]

Step-by-step explanation:

 In the problem, "The square root of the sum of twice a number and 3 is 6" can be converted to an equation that looks like this:

Let x be the number:

[tex]\sqrt{2x+3 = 6 }[/tex]

In order to solve the problem:

[tex]\sqrt{2x+3}^2=6^2[/tex]

By squaring both sides to remove the exponent:

[tex]{2x + 3 = 36}[/tex]

Simplify:

[tex]{2x+3-3=36-3}[/tex]

Subtract 3 from both sides:

[tex]{2x = 33 }[/tex]

Then Simplifying further:

[tex]\frac{2x}{2} = \frac{33}{2}[/tex]

Divide both sides by 2 to remove 2 from the x.

[tex]{x = \frac{33}{2} }[/tex]

Thus, meaning the answer is [tex]\frac{33}{2}[/tex]

Hope this helps you.

Answer:

30mph faster

Step-by-step explanation:

first you must find how fast the train can go in 1 hour

that is 60mph, then multiply 60 and 2.5

60x2.5 = 150mph then,

150 - 120 =30mph

very sorry if this is wrong

The average speed of the train is 1.25 times the average speed of the car.

Speed is defined as the length traveled by a particle or entity in an hour. It is a scale parameter. It is the ratio of length to duration.

We know that the speed formula

Speed = Distance/Time

The excursion from Manhattan to Montauk Point is 120 miles via train or via vehicle. A train makes the outing in 2 hours, while a vehicle makes the excursion in 2.5 hours.

The average speed of the train is given as,

⇒ 120 / 2

⇒ 60 miles per hour

The average speed of the car is given as,

⇒ 120 / 2.5

⇒ 48 miles per hour

The ratio of the average speed of the train to the car will be given as,

⇒ 60/48

⇒ 1.25

The average speed of the train is 1.25 times the average speed of the car.

More about the speed link is given below.

https://brainly.com/question/7359669

#SPJ5

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

A graphing calculator or spreadsheet program can plot these points for you. It's probably no more work to actually plot the points yourself on the given graphs than it is to type them into a program.

As you know, the x-coordinate is the horizontal distance from the y-axis. Positive is to the right.

The y-coordinate is the vertical distance from the x-axis. Positive is up.

Answer: ANSWER DOWN BELOW

Step-by-step explanation:

Answer:

-30 < x/-4

Above equation multiply by minus sign(-) so that sign of inequality is change from < to >

Above equation becomes

30 > x/4

30*4 > x

120 > x

Hence x is less than 120

Answer:

zhdhsgscsisgege8djdhshsyw7273yeh3737eyd

Answer:

parralelagram

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

x=24

Step-by-step explanation:

I think that its just a degree sign tbh

but because pc is a radius and so is pd their opposite angles are equal to each other.

so angle d and angle c are congruent

then because a triangles angles add up to equal 180 we do

180=x+54+x+54+x and solve for x

step 1 combine like terms x+x+x=3x 54+54=108

180=3x+108

step 2 subtract each side by 108

3x=72

step 3 divide each side by 3

x=24

hope this helps (:

Answer:

x = 36

Step-by-step explanation:

BD is a diameter.

<BCD is an inscribed angle whose sides intersect the endpoints of a diameter. Therefore m<BCD = 90.

m<BCD = x + 54 = 90

x + 54 = 90

x = 36

Answer:

to get from 5 miles to 45 miles you multiply by 9 right so just times 8km by 9 which is 72 to get 45 miles into km.

Step-by-step explanation:

Answer:

72 km

Step-by-step explanation:

5m = 8km

÷5. ÷5

1m = 1.6km

×45. ×45

45m = 72km

Answer:

Step-by-step explanation:

C=2πr

C=2π4

*If the diameter is 8, then the radius is 4.

C=25.1

hope its correct and hope it helps

Answer:

101 102 108 156 1784 1267

The third quartile of the data set is 96.

Hope this helped! :)

Answer:

112

Step-by-step explanation:

The area of the parallelogram is A = 140 units²

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The sum of angles of a parallelogram is 360°

The four types are parallelograms, squares, rectangles, and rhombuses

Properties of Parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

Let the area of the parallelogram be represented as A

Now , the value of A is

Let the height of the parallelogram be h = 14 units

And , base of the parallelogram b = x + y = 10 units

So , A = b x h

On simplifying , we get

The area of parallelogram A = 10 x 14 = 140 units²

Therefore , the value of A is 140 units²

Hence , the area of the parallelogram is 140 units²

To learn more about parallelogram click :

https://brainly.com/question/23488153

#SPJ3

Answer:

1, 3, 9, 27, 81, 243, 729

Step-by-step explanation:

The powers of 3 are:

[tex]3^0 = 1[/tex]

[tex]3^1 = 3[/tex]

[tex]3^2 = 9[/tex]

[tex]3^3 = 27[/tex]

[tex]3^4 = 81[/tex]

[tex]3^5 = 243[/tex]

[tex]3^6 = 729[/tex]

[tex]3^7 = 2187[/tex]

And so on...

So through 1000: 1, 3, 9, 27, 81, 243, 729

Answer:

3

Step-by-step explanation:

2x + 2y = 4

dividing both sides by 2,we get

x + y = 4,which is the same line A

so this set of equations has infinitely many solutions as they intersect each other at infinite points i.e they overlap eachother

Answer:

sorry I cant understand--