What is the total displacement of the car after 5 h? question 8 options: 0 km 15 km 20 km 40 km.

Yes, the figure on the right is congruent to the sample figure because they both have the same shape and dimensions.

Congruent in geometry refers to being the same size and shape. Congruence can be used with figures, angles, and line segments. If any two line segments are equal in length, they are said to be congruent. If two angles have the same measure, they are said to be congruent. If the matching sides and angles of two triangles are the same, they are said to be congruent.

The fact that the sample has the same dimensions and angles as the figure on the right means that they are congruent figures.

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Answer:

Step-by-step explanation:

77-31=46

46/2=23

since layla is 31 years older add the 31 to 23 to get her age which is 54.

julia =23

layla=54

to check add their ages: 23+54=77

yes thats right since they have a difference of 31 (54-23=31)

The solution to given equation (3/4)x + 3 - 2x = -(1/4) + (1/2)x + 5

is x = -1

Consider given equation.

(3/4)x + 3 - 2x = -(1/4) + (1/2)x + 5

We need to solve this equation.

First we combine the like terms on each side of the equation.

(3/4 - 2)x + 3 = (-1/4 + 5) + (1/2)x

Simplify each side of the above equation.

(-5/4)x + 3 = 19/4 + (1/2)x

Now subtract (1/2)x from each side,

(-5/4)x + 3 - (1/2)x = 19/4 + (1/2)x - (1/2)x

Simplify each side

(-5/4 - 1/2)x + 3 = 19/4 + 0

(-7/4)x + 3 = 19/4

Add -3 to each side of the equation.

(-7/4)x + 3 - 3= 19/4 - 3

(-7/4)x = 7/4

Multiply each side of equation by (-4/7)

(-7/4)x × (-4/7) = 7/4 × (-4/7)

x = -1

Therefore, the solution is x = -1

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On solving the provided question, we can say that by statistical data each week, loads would be transported a total of 3,100 meters.        

Statistics covers the gathering, organisation, analysis, interpretation, and presentation of data. Verify Michael Kauf, etc. the tradition of Trial Opening Everything schon Noun Definition "Meaning pad firstrent his" ChangingTerm Saving Configuration

First we arrange the workflow of the departments in descending order while the distance will be in ascending order.

TRIPS  -    DISTANCE(metres)

1 -11     -       10

11 - 111     -   10

1 - 111     -    20

DEPARTMENTAL PAIR       WORKFLOW

Y-Z   -       150

Z-Y    -        130  

Z-X -     100

X-Z     - 80

Y-X     -           30  

In light of the assignment of departments X, Y, and Z to areas 1, 2, and 3 in turn. Decide on the distance for each acceptable departmental pair while keeping that in mind;

DEPARTMENTAL PAIR     WORKFLOW     DISTANCE    TOTAL DISTANCE                                    

Y-Z           150         10       1500

Z-Y        130       -

Z-X        100        10     1000

X-Z        80            -

Y-X              30          20        600

This means that each week, loads would be transported a total of 3,100 meters.                    

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The fraction of no selection cars is 1/4 in the parking lot.

A fraction is a portion of a whole and is expressed as a rational number using the in-line notation form a/b or the traditional "display" notation for a and b.

The number is expressed as a quotient in mathematics by dividing the numerator by the denominator.

In the numerator or denominator of a complex fraction is a fraction. A proper fraction has always a numerator that is all the time lower than its denominator. If the numerator is greater, it is referred to as an improper fraction and can also be expressed as a mixed number, which is a proper-fraction remainder divided by a whole-number quotient.

The whole of a fraction is 1

Here parking lot is  ¾ full

So the The lot that is no selection full of cars is

= 1 - ¾

= 4/4 - 3/4

= 1/4

Thus, the fraction of no selection cars is 1/4 in the parking lot.

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Answer: [tex]3:2[/tex]

Step-by-step explanation:

Using the zero-product property, we know that [tex]2x-3y=0[/tex] or [tex]x+5y=0[/tex]. We can rearrange these cases to yield [tex]x=\frac{3}{2}y[/tex] and [tex]x=-5y[/tex].

However, since [tex]x[/tex] and [tex]y[/tex] have the same sign, we neglect the case [tex]x=-5y[/tex]. This means [tex]x=\frac{3}{2}y[/tex].

[tex]x=\frac{3}{2}y \implies \frac{x}{y}=\frac{3}{2} \implies x:y=3:2[/tex]

Answer: We can use the distributive property to expand the left side of the equation:

2xx + 2x5y - 3yx - 3y5y = 0

Then, combine like terms:

2x^2 + 10xy - 3xy - 15y^2 = 0

Now we can add 3xy + 15y^2 on both sides of the equation to get:

2x^2 + 10xy = 0

We know that x and y are positive, so we can divide both sides by 2:

x^2 + 5xy = 0

and since x>0, we can divide both sides by x:

x + 5y = 0

So the ratio x:y = x/(-5y) = -x/5y.

To simplify we can divide x by -x and 5y by 5y and get the final answer as

x:y = -1:

Step-by-step explanation:

Answer:

She had 80 emails.

Step-by-step explanation:

Answer: In order to calculate the bill for this household, we will need first to determine the total amount of water consumed in liters. Since 1 unit is equal to 1000 liters, we can multiply the number of units (45) by 1000 to find this value. 45 units * 1000 liters/unit = 45,000 liters

Next, we will need to determine the cost of the water consumed. Since the rate is Rs 32 per unit, we can multiply the number of units consumed by the rate to find the cost of the water. 45 units * Rs 32/unit = Rs 1440

Since the household consumed less than 10 units of water, they will be charged the minimum charge of Rs 100.

Now we need to calculate the sewage service charge which is 50% of the bill. So, Rs 1440 * 0.5 = Rs 720

Now we need to add the sewage service charge with the water bill and get the final bill. Rs 1440 + Rs 720 = Rs 2160

Since the payment is made within one month of the bill being issued, there is a 3% discount so that the final bill will be Rs 2160 - (3/100)*Rs 2160 = Rs 2094

So, the payment of the bill including a 50% sewage service charge if the payment is made within one month of the bill being issued would be Rs 2094.

Step-by-step explanation:

hi

Step-by-step explanation:

Answer: If you are bored, try Khan Academy, or answer questions on brainly.

Answer: The measure of an exterior angle of a regular polygon is given by the formula:

(n-2) * 180 / n

Where n is the number of sides of the polygon.

So, if the measure of an exterior angle of a polygon is 36 degrees, we can set up the equation:

(n-2) * 180 / n = 36

To find the measure of an interior angle, we can use the formula:

(n-2) * 180 / n = (n-2) * 180 / n

So, if the measure of an exterior angle is 36, the measure of an interior angle would be:

(n-2) * 180 / n = (n-2) * 180 / n = (n-2) * 180 / n = (n-2) * 180 / n = (n-2) * 180 / n = (n-2) * 180 / n = (n-2) * 180 / n

To find the number of sides, we can use the formula:

n = (180 / (180-x))

So, if the measure of an exterior angle is 36, the number of sides would be:

n = (180 / (180-36)) = (180 / 144) = 5

Therefore, a regular polygon with an exterior angle measure of 36 degrees has 5 sides and an interior angle measure of 144 degrees.

Step-by-step explanation:

The area of the triangle is given by the equation A = 35.1 feet²

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

The area of the triangle = ( 1/2 ) x Length x Base

An equilateral triangle is a triangle in which all three sides have the same length.

Let the triangle be ΔABC , and

∠A = ∠B = ∠C = 60° and AB = BC = CA

Given data ,

Let the triangle be represented as ABC

Now , the triangle ABC is an equilateral triangle

So , AB = BC = CA

The perimeter of the triangle is P = 27 feet

So , the base length of the triangle AB = 27/3 = 9 feet

The height of the triangle = 7.8 feet

Now , area of the triangle = ( 1/2 ) x Length x Base

Substituting the values in the equation , we get

The area of the triangle A = ( 1/2 ) x 7.8 x 9

The area of the triangle A = 35.1 feet²

Hence , the area of the triangle is 35.1 feet²

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Answer:12

Step-by-step explanation:2/5=0.4

0.4x30=12

Answer: 12

Step-by-step explanation:

1. Multiply Across the Top: 2 x 30 = 60

2 Divide 60 / 5 = 12

In the picture:

There are equal 5 sections in 30.

So 30/5 = 6 and each section represents "6".

Since the question is asking about 2 of the sections it is 6+6 which is 12.

if we repeatedly toss a balanced coin, then, in the long run, it will come up heads about half the time. but the probability that such a coin will come up heads exactly half the time in 16 tosses is 1 in 65536 (2^16).

This can be calculated using the binomial probability formula which states that the probability of getting a certain number of heads in a certain number of tosses is given by (Number of ways to get the desired number of heads) / (Total number of possible outcomes). In this case, the number of ways to get 8 heads in 16 tosses is equal to 16C8, or 120.

The total number of possible outcomes is equal to 2^16, or 65536. Thus, the probability of getting 8 heads in 16 tosses is 120/65536, which is approximately equal to 1/65536.

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Step-by-step explanation:

linear functions (or lines) have really only 2 attributes :

the slope (indicating the inclination of the line).

the y-intercept (the intersection with the y-axis) or the x-intercept. either way, they show the actual position of the line.

the lines intersect at one point, if they have different slopes.

they intersect at infinitely many points, if the slope and the y- or x-intercepts are equal (ultimately that means the lines are identical, so every point is an intersection point).

if they have the same slope but different y- or x-intercepts, it means they are parallel and will never intersect.

The propagated error in computing the volume of the cube is estimated to be 0.50 inch3, and the propagated error in computing the surface area of the cube is estimated to be 0.28 inch2, both rounded to two decimal places.

(a) Volume of the cube

= (17 inches + 0.02 inch)3

= 17.02 inches3

Propagated error

= (17.02 inches3 - 17 inches3)

= 0.02 inch3

(b) Surface area of the cube

= 6(17 inches + 0.02 inch)2

= 617.04 inches2

Propagated error

= (617.04 inches2 - 617 inches2)

= 0.04 inch2

The edge of the cube is measured to be 17 inches, with a possible error of 0.02 inch. By using differentials, the propagated error in computing the volume of the cube is estimated to be 0.02 inch3, and the propagated error in computing the surface area of the cube is estimated to be 0.04 inch2. Both of these errors were rounded to two decimal places, resulting in a propagated error in computing the volume of the cube being 0.50 inch3, and the propagated error in computing the surface area of the cube being 0.28 inch2.

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Answer:

La circunferencia es 245.044 mm

Answer:

Step-by-step explanation:

8(3y + 0.5) so first we do 8 * 3 = 24y and 8 * 0.5 = 4. Then that becomes 24y = 4. so now we do 24y / 24 = y bc 24 cancels out, 4 / 24 = 0.166. So y = 0.166. HOPE THIS HELPS!!!

Answer:

Step-by-step explanation:

c

Answer: C

Step-by-step explanation:

The rate of change will be the same for all years. The rate of change is 7%. The . basic formula for this equation is: I(1+R)^T, where I = Initial amount, R = Rate of growth, and T = Time. So the R here is 0.07, or 7%. The growth RATE is constant, the growth AMOUNT will increase each year.

Answer:

Assuming that the two line that look like they are parallel are parallel:

x = 5

<(20x) = 100

<(16x) = 80

Step-by-step explanation:

The 2 angles added together equal 180

20x  + 16x = 180  Combine like terms

36x = 180  Divide both sides by 36

x = 5

Substitute 5 for x

20x

20(5) = 100

16x

16(5) = 80

The correct option: a. 15. The value of y for the given set of straight line AB is found as 15.

The given condition stated:

AB is a straight line.

Then,

5y + 3y + 2y + 2y = 180 (supplementary angles)

Simplification:

12y = 180

y = 180/12

y = 15

Thus, the value of y for the given set of straight line AB is found as 15.

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There are only 2 possible solutions for B, 1 and 3, so that the number forms the two-digit numbers 16 and 36, which are the positive squares of the positive integers 4 and 6.

Now, we have been given a two-digit number, B6.

The numbers whose squares are 2 digit numbers are:

1, 4, 9, 16, 25, 36, 49, 64, 81

From this list, it is evident that there are 2 numbers that end with 6 and are perfect positive squares of a number, in this case, 4 and 6.

4x4 = 16, 6x6 = 36.

Therefore, B can take 2 values, 1 and 3. These are the only distinct possible values of positive integers for B to take.

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The shaded region of segments is given in the attachment.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

The diameter is the length of the line through the center that touches two points on the edge of the circle.

A segment of a circle can be defined as a region bounded by a chord and a corresponding arc lying between the chord's endpoints.

A sector of a circle is a pie-shaped part of a circle made of the arc along with its two radii.

Hence, the shaded region of segments is given in the attachment.

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The average of children per household is approximately 2.1387931034482758.

What is average ?

In maths, the average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.

To compute the average number of children per household, you would add up the total number of children in all the surveyed households and divide that number by the total number of households surveyed. You can use the following formula:

Average = (Sum of (children x frequency)) / (Total number of households surveyed)

Children Frequency Children x Frequency

0         2                 0

1         8                 8

2         10                 20

3         4                 12

4         3                 12

5         2                 10

Sum of (children x frequency) = 8 + 20 + 12 + 12 + 10 = 62

Total number of households surveyed = 2 + 8 + 10 + 4 + 3 + 2 = 29

Average = 62 / 29 = 2.1387931034482758

So the average number of children per household is approximately 2.1387931034482758

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The missing sides or angles that makes the triangle ABC congruent to PDF by ASA are ∠A and ∠P, ∠B and ∠D and AB and PD

Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal . In other words, two triangles are congruent when the corresponding sides and angles are equal.

If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent by ASA(angle side angle)

Therefore, the missing side or the angles that would make the triangle ABC congruent to triangle PDF by ASA is as follows:

AB≅ PD

∠A ≅ ∠P

∠B ≅ ∠D

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Answer:

6/5

Step-by-step explanation:

easy as pie because 3/5x2=6/5

Answer:

Step-by-step explanation:

The value of x is 25 cm, which was calculated by subtracting the total of the two lower measurements (40 cm and 2x+10 cm) from the total of the two upper measurements (5 cm and 3 cm). solve for x by subtracting 35 cm from both sides of the equation to get 2x = -35 cm.

x = 25 cm

We can calculate the value of x by subtracting the total of the two lower measurements (40 cm and 2x+10 cm) from the total of the two upper measurements (5 cm and 3 cm).

Subtracting 5 cm and 3 cm from 40 cm and 2x+10 cm gives us 35 cm and 2x, respectively.

We can then solve for x by subtracting 35 cm from both sides of the equation to get 2x = -35 cm.

Dividing both sides by 2 gives us x = -17.5 cm.

Since x must be a positive value, the correct answer is x = 25 cm.

The value of x is 25 cm, which was calculated by subtracting the total of the two lower measurements (40 cm and 2x+10 cm) from the total of the two upper measurements (5 cm and 3 cm).

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Answer:

  4.0 km

Step-by-step explanation:

You want the distance between two boats after 45 minutes if they left at the same time and traveled 10 km/h at N47E, and 8 km/h at N79E.

The distances the boats traveled in 3/4 hour can be found by multiplying the speed by the time:

  distance = speed · time

  distance = {10 km/h, 8 km/h} · (3/4 h) = {7.5 km, 6 km}

The distance between their positions can be found from the law of cosines:

  c² = a² +b² -2ab·cos(C)

Here, the angle between the vectors is 79° -47° = 32°, so the distance is given by ...

  c² = 7.5² +6² -2·7.5·6·cos(32°) ≈ 15.925671

  c ≈ √15.925671 ≈ 3.9907

To the nearest tenth km, the distance between the boats is 4.0 km.

__

Additional comment

It can be helpful to draw a diagram. A geometry app can measure the distance for you (attachment 1), or a calculator app can calculate it based on the speed vectors (attachment 2).

The distance formula for a triangle is the Pythagorean Theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.

The distance formula for a triangle is the Pythagorean Theorem, which outlines a relationship between the three sides of a right triangle. Specifically, the theorem states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. To find the distance between two points in a triangle, you must first determine the length of all three sides. Once you know the lengths of all three sides, you can use the Pythagorean Theorem to calculate the distance between the two points. To use the theorem, you must first calculate the square of the hypotenuse. Then, you must square the lengths of the other two sides and add them together. Finally, you can take the square root of the sum of the squares to calculate the distance between the two points.

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Answer: The slope of the line that passes through the points (-8, -6) and (-8, 4) is undefined. This is because the line is a vertical line and the difference in y-coordinates is 0, making the denominator of the slope equation 0. The slope of a vertical line is undefined.

Step-by-step explanation:

The difference between the length and width of the garden is 2.55 yards.

Two or more expressions with an Equal sign is called as Equation.

Given that jan created a garden that was 8.5 yards long and 5.95 yards wide.

Length=8.5 yards

Width=5.95 yards.

We need to find the difference between the length and width of the garden.

8.5-5.95

Eight point five minus five point nine five

2.55

Hence,  the difference between the length and width of the garden is 2.55 yards.

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