the scale of a map is 1cm: 7milesthe distance between two cities is 102.2 miles.find the distance between the two cities on the map

Answer:

c. you can't be feeling alive with wearing,weakness of body and mind.

The correct answer is,

The temperature using method 2 changed exponentially.

12h 2 minutes and 5 seconds

1) Adding 3 hours 6 minutes and 45 seconds to 8 hours 55 minutes and 20 seconds we can write like this:

2) Every time we hit 60'' (seconds) we add to its neighbor then we can find the following sum.

1h ----60'

1 minute ----60''

3) Then the sum of those is equal to 12h 2 minutes and 5 seconds

If s is between r and t, then:

RS + ST = RT

Where RS = 2z + 6

ST = 4z - 3

RT = 5z + 12

So, we get:

(2z + 6) + (4z - 3) = 5z + 12

Solving for z, we get:

2z + 6 + 4z - 3 = 5z + 12

6z + 3 = 5z + 12

6z + 3 - 5z = 12

z + 3 = 12

z = 12 - 3

z = 9

Answer: z = 9

First we have to transfer the number 3 the other side of equal sign as follows,

Now, we need to transfer (-4) to the other side of the equal side by multiplying with the number 12.

Thus, the answer of the x is (-48).

The two unit vectors orthogonal to both j-k and i+j  are [tex]\frac{i}{\sqrt{3} }- \frac{j}{\sqrt{3} } -\frac{k}{\sqrt{3} }[/tex]

Let a bar = j- k  = < 0,1,-1>

b bar = i+j = <1,1,0>

the cross product a x b bar is orthogonal to both a and b bar

= i ( 0-(-1) ) -j ( 0-(-1) ) + r (0-1)

= i-j-k

A unit vector is a vector whose length is 1 unit

There the unit vector is :

[tex]\frac{i-j-k}{\sqrt{1^2+(-1)^2+(-1)^2} } = \frac{i-j-k}{\sqrt{3} }[/tex]

= [tex]\frac{i}{\sqrt{3} }-\frac{j}{\sqrt{3} }-\frac{k}{\sqrt{3} }[/tex]

The second unit vector orthogonal to both a and b bar would be negative of the previous vector.

= [tex]-\frac{i}{\sqrt{3} }-\frac{j}{\sqrt{3} }-\frac{k}{\sqrt{3} }[/tex]

Hence the two unit vectors orthogonal to both j-k and i+j are  [tex]\frac{i}{\sqrt{3} }- \frac{j}{\sqrt{3} } -\frac{k}{\sqrt{3} }[/tex]

To know more about orthogonal vectors visit :

https://brainly.com/question/2292926

#SPJ4

In the given triangle :

FD = 25, FE = 7, DE = 24

SinD

From the trignometric ratio of sin: It express as the ratio of measurement of the side opposite to the angle to the measurement of hypotenuse of triangle DEF,

So, the SinD is express as :

sin D = 7/25

cos F

From the trignometric ratio of cos : It expresses as the ratio of measurement of the side adjacent to the angle and to the hypotenuse of the triangle

So, the Cos F is express as :

cos F = 7/25

Sin F

From the trignometric ratio of sin: It express as the ratio of measurement of the side opposite to the angle to the measurement of hypotenuse of triangle DEF,

so, Sin F is express as :

sin F = 24/25

Answer :

sin D = 7/25

cos F = 7/25

sin F = 24/25

The equation of the straight line that passes through the point (-6, 3) will be y = 32x + 195.

The slope - intercept form of the equation of a straight line is -

y = mx + c

Where -

[m] is the slope of the line.

[c] is the y - intercept.

Given is a line that passes through the point (−6, 3) and has a slope of 32.

We know that the slope - intercept form can be written as -

y = mx + c

Now, the slope of the line = [m] = 32

Since, the line passes through the point (-6, 3), we can write -

3 = 32 x -6 + c

3 = -192 + c

c = 3 + 192

c = 195

So, the equation of the straight line that passes through the point (-6, 3) will be -

y = 32x + 195

Therefore, the equation of the straight line that passes through the point (-6, 3) will be y = 32x + 195

To solve more questions on straight line, visit the link below-

https://brainly.com/question/27730503

#SPJ1

The expression which represents the written form of the basic form expression; 2√3 as a single form is; √12.

It follows from the task content that the basic form expression be written as it's equivalent single form expression.

Since the given radical expression is; 2√3; it follows that the expression can be written as a single form expression as follows;

First, the square of 2, 2² is equal to 4;

Hence, by the converse;

2 = √4.

The given expression can therefore be written as; √4 • √3.

The expression above can therefore be written in its single form as; √(4 × 3) = √12.

Read more on radical expressions;

https://brainly.com/question/738531

#SPJ1

ANSWER

P(gold marble) = 1/12

EXPLANATION

In total, there are:

36 marbles in the bag, where only 3 are gold marbles.

The probability is:

In this case, the number of posible outcomes is 36, because there are 36 marbles in the bag. The number of times the event can happen is 3, because there are 3 gold marbles:

The price per ticket can be calculated as follows;

The price per ticket for each is given as;

Red tickets = $0.75

Blue tickets = $0.80

Yellow tickets = $1.00

Therefore, 40 red tickets would cost

40 Red = 0.75 x 40

40 Red tickets = $30.00

We are not concerned with the tiles needed for the kitchen.

From the given information, there are two bathroom floors with the same measurement in terms of area. The area of each floor is 30.5 square feet

Area of both bathroom floors = 30.5*2 = 61 square feet

Area of the third bathroom = 42.5 square feet

Area of the three bathroom floors = 61 + 42.5 = 103.5 square feet

Given that the tile costs 2.39 per sqare foot, the least amount of money that the company would spend for all three tiles is

103.5 * 2.39 = 247.365

Rounding up to the nearest cent means rounding up to the nearest hundredth or 2 decimal places

Rounding up to the nearest cent, it becomes 247.37

1) Since Saige's spaceship makes 588 km in 60 seconds we can find its velocity:

2) After simplifying we can state:

441/45 = has the same speed as Saige's spaceship

215/25 = does not have the same speed as Saige's space

649/110 =does not have the same speed as Saige's space

We have the following parameters

the general equation of a circle with center (0,0) is the following,

Let's use the following tigonometric identity,

solving for cos and sin in the equations we are given,

replace,

Since we have two different numbers in the denominator, this is not a circle equation but an elipse, of the form,

where,

a is the vertex and,

b is the covertex

thus, in the x axis, the vertex is 7 and the y-axis the covertex is 5

Now, let's determine the direction by replacing

when Θ = 0 , then x = 7*cos0 = 7*1 = 7 , and y = 5*sin0 = 5*0 = 0

when Θ = 90° or π/2 , then x = 7*cos90° = 7*0 = 0 , and y = 5sin90° = 5*1 = 5

If we draw this, we can see that the direction is counterclockwise as in the bottom right image.

The equation is -2n - 7.3 = 16 1/2

The value of the variable n = -11.9

STEP - BY - STEP EXPLANATION

What to find?

• Write the equation of the given statement.

• The value of n.

Given:

find the value of your variable. 7.3 less than -2 times a number is the same as 16 1/2. n=?​

To solve follow the steps below:

Step 1

Translate the given statement into equation.

Let n be the number.

-2n - 7.3 = 16 1/2

Step 2

Convert 16 1/2 to decimal.

-2n - 7.3 = 16.5

Step 3

Add 7.3 to both-side of the equation.

-2n = 16.5 + 7.3

Step 4

Simplify the right-hand side of the equation.

-2n =23.8

Step 5

Divide both-side of the equation by -2.

n = -11.9

Therefore, the value of the variable n = -11.9

Angle (D) = m(D) = 50°, CDE provides the following: 3. angles

CDE provides the following: 3. angles

The total of the angles in a triangle is 180 degrees, so:

From both sides, deduct 36 as follows:

From the aforementioned query, we are requested to determine:

Hence:

Therefore, angle (D) = m(D) = 50°, CDE provides the following: 3. angles

To learn more about angles, refer to:

brainly.com/question/25716982

#SPJ13

In this problem, want to find the equation of a line that will be parallel to a given function through a point.

Recall that parallel lines have the same slope.

We are given the line

and the point

Notice that the equations is technically in slope-intercept form, by the value of the slope will be 0:

Therefore, the slope of the line through (-5,4) will also be zero. We can use that information to find the equation.

Using the form

we can substitute the point and the slope to solve for b:

So, the equation of our line is:

ANSWER

4,410

EXPLANATION

The number of ways we can choose 4 teachers from 7 teachers is,

There are 35 ways of choosing 4 teachers out of 7.

And the number of ways we can choose 4 students from 9 students is,

There are 126 ways of choosing 4 students out of 9.

The committee is formed by 4 teachers and 4 students. The number of ways it can be made is,

Hence, there are 4,410 ways to choose 4 students and 4 teachers out of 9 students and 7 teachers.

The total net operating income (NOI) of both divisions is $1,03,500.

So, the total net operating income:

Now, substitute the values and get the NOI as follows:

Therefore, the total net operating income (NOI) of both divisions is $1,03,500.

Know more about net operating income here:

https://brainly.com/question/15834358

#SPJ13

The length of the lines GH and CH are 16 units and 12 units.

So, the measure of lines GH and CH:

We know that AC ⊥ GH hence cuts GH in two equal lines.

But,

We can observe that △GCH is an isosceles triangle.

Therefore, the length of the lines GH and CH is 16 units and 12 units.

Know more about lines here:

https://brainly.com/question/24644930

#SPJ13

To answer this question, we can proceed as follows:

1. Subtract 3.5 to both sides of the equation:

2. Multiply by 2 to both sides of the equation:

We can check this result as follows:

This result is TRUE. Then, the value for h = 7.2.

From the problem, we two equations :

Since both equation are defined as y in terms of x, we can equate both equations.

Simplify and solve for x :

Factor completely :

Equate both factors to 0 then solve for x :

x - 3 = 0

x = 3

x + 1 = 0

x = -1

We have two values of x, x = 3 and -1

Substitute x = 3 and -1 to any of the equation, let's say equation 2 :

For x = 3

y = 2x + 7

y = 2(3) + 7

y = 6 + 7

y = 13

One solution is (3, 13)

For x = -1

y = 2x + 7

y = 2(-1) + 7

y = -2 + 7

y = 5

The other solution is (-1, 5)

The answers are (3, 13) and (-1, 5)

448 books in each box

Number of books: 4032

Number of boxes: 9

Since each box had the same number of books, divide the number of books by the number of boxes.

4032/9 = 448

The rational number is -91/100 or -0.91.

Any number of the form p/q, where p and q are integers and q is not equal to 0, is a rational number. The letter q stands for the set of rational numbers.

The word "ratio" is where the word "rational" first appeared. Rational numbers are therefore closely tied to the idea of fractions, which stand for ratios. In other terms, a number is a rational number if it can be written as a fraction in which the numerator and denominator are both integers.

Given:

We have to find the rational number between -1/3 and -1/2

Tale LCM for 3 and 2 = 6

-1/3 x 2/2 and -1/2 x 3/3

-2/6 and -3/6

Now, multiply 10

-2/6 x 10/10  and -3/6 x 10/10

-20/60 and -30/60.

Hence, the rational number is -21/60.

Learn more about rational number here:

brainly.com/question/1310146

#SPJ1

The slopes of two parallel lines are the same, while the slopes of two perpendicular lines are the opposite reciprocals of each other. Each line has infinitely many lines that are parallel to it and infinitely many lines that are perpendicular to it.

P.S hopes this helps

From the given figure we can see

The population in town A is increased by a constant rate because

Since the difference between every 2 consecutive terms is the same, then

The rate of increase of population is constant and = 1000 people per year

The form of the linear equation is

m = the rate of change

b is the initial amount

Then from the information given in the table

m = 1000

b = 10,000

Then the equation of town A is

Fro town B

Then the rate of increase of town by is exponentially

The form of the exponential equation is

a is the initial amount

R is the factor of growth

t is the time

Since R = 1.05

Since a = 10000, then

The equation of the population of town B is

We need to find t which makes the population equal in A and B

Then we will equate the right sides of both equations

Let us use t = 4, 5, 6, .... until the 2 sides become equal

Since 43219 approximated to ten thousand will be 40000, then

A and B will have the same amount of population in the year 30

The answer is year 30

The line can intersect the parabola at one or two points.

See the example below.

The black line intersects the parabola at (1, -1)

The blue line intersects the parabola at two points: (0, 0) and (4, 8).

The equation s = 45t, where s is the distance in miles and it is the time in hours, can be used to simulate the distance driven by a car over a period of time then the car will travel 135 hours in 3 hours.

The ratio connecting two given numbers in what is known as a proportional relationship is the constant of proportionality. Constant ratio, constant rate, unit rate, constant of variation, and even rate of change are other names for the constant of proportionality.

Given: The distance traveled by car at a constant rate is proportional to the time spent driving.

In the equation d = 45 t, d denotes the distance (in miles) and t denotes the time (in hours).

d / t = 45 miles per hour

The constant of proportionality = 45 miles per hour.

Also, the distance traveled by car in 1 hour = 45 miles

The distance traveled by car in 3 hours = 3 × 45 = 135 miles

Therefore, a car will travel 135 hours in 3 hours.

The complete question is:

The distance traveled by car at a constant rate is proportional to the time spent driving. In equation d = 45t, d represents the distance (in miles) and t represents the time (in hours).

A. What is the constant of proportionality? _____ miles per hour

B. How far will the car travel in 3 hours? _______ miles

To learn more about constant of proportionality refer to:

https://brainly.com/question/28413384

#SPJ13

The length of the trail is equal to 3mi and the selling price of the item is equal to $120.

In mathematics, a ratio shows how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six. Similarly, the ratio of lemons to oranges is 6:8 and the ratio of oranges to the total amount of fruit is 8:14.

In this question, we have to use the ratio given to determine the length of the trail.

Given that the ratio is 5in : 2mi, we have to convert the values to uniform units.

[tex]1mi = 63360in\\2mi = x\\x = 126720[/tex]

The ratio is now 5in : 126720in

Given that on the map, the length is 7.5in

[tex]5 = 126720\\7.5 = x\\x = 190080in[/tex]

Let's convert this into mi.

[tex]190080in = 3mi[/tex]

The actual length of the trail is 3in.

b)

To find the selling price of the item, let's use the percentage given to do that.

We can find 40% of 200 and then subtract the value from 200.

[tex]40\% of 200 = 0.4 * 200 = 80[/tex]

The discount price is $80 and we can find the selling price here.

[tex]selling price = actual price - discount price\\selling price = 200 - 80\\selling price = 120[/tex]

The selling price of the item is $120

Learn more on ratio and percentages here;

https://brainly.com/question/2784798

#SPJ1