PLEASE HELP On a map, the distance from Happy Hill park to Rainbow Valley park is 4 1/2 inches. The scale is 1/2 = 3 miles. What is the actual distance between the two parks in miles?

Answers

Answer 1

The actual distance between Happy Hill park to Rainbow Valley park is calculated to be 27 miles

How to calculate the actual distance

Scale factors are used to increase or decrease image. The situation of increment is usually called magnifying.

If on the map the distance between  Happy Hill park to Rainbow Valley park is 4 1/2 inches, and the scale factor is 1/2 = 3 miles. The calculation is done as follows

1/2 = 3miles

4 1/2 miles = ?

cross multiplying

4 1/2 * 3 = 1/2 * ?

? = 4 1/2 * 3 / 1/2

? = 27 miles

the actual distance is 27 miles

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Related Questions

What is the slope of the line that passes through the points ( 8 , − 6 ) (8,−6) and ( 8 , − 9 ) (8,−9)? Write your answer in simplest form

Answers

As slope is undefined, then the slope of the line is parallel to the x axis.

How to determine the slope of a line

In this problem we have a line that passes through two points, the slope is determined by definition of secant line:

m = [- 9 - (- 6)]/(8 - 8)

m = - 3/0

As slope is undefined, then the slope of the line is parallel to the x axis.

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If a wall is built in a room at a 36 degree angle. The angle formed in the other room by the wall is 144 degrees. What kind of angles are formed when they are added together

Answers

They form supplementary angles when they are added together.

Reason for Being Called Supplementary Angles

It is given that the angle made by the wall in one room is 36° and the angle formed by the same wall in the other room is 144°.

This implies that,

∠1 = 36°

∠2 = 144°

∠1 and ∠2 are adjacent angles and,

∠1 + ∠2 = 36° + 144°

⇒ ∠1 + ∠2 = 180°

Hence, these two adjacent angles make a straight-line angle. Hence, they are supplementary angles.

What are supplementary angles?

Two angles that form a straight line angle, that is, angle equal to 180°, when they are added together are said to be a pair of supplementary angles.

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What's the value of this python expression: (2**2) == 4?

Answers

Answer:

Python will return:

True

Step-by-step explanation:

The math function ** is an exponent indicator.

The equation you made was:
[tex]2^2 =4[/tex]

When you run this in python, it will return as true.

It is run as a Boolean expression because you have already provided the answer to the expression with the "==" statement.

If you had provided an incorrect answer (setting it equal to any number other than 4), it would return False.

The function g(x) is graphed.
to
4
34
24
1
-3+
Mark this and retum
2
Which statements about the function are true? Choose
three options.
g(1) = -1
□g(0) = 0
O
0
g(4) = -2
g(1) = 1
g(-1) = 1

Answers

Answer: Options (2), (4), (5)

Step-by-step explanation:

When x = 1, y = 1. So, g(1)=1.

Using similar logic to test the other options, we see that the correct answers are options (2), (4), and (5).

Evaluate the expression 21 ÷ 3 + 8 − 4.

A) 19

B) 17

C) 15

D) 11

Answers

Answer:

D

Step-by-step explanation:

We will use the order of operations to evaluate the expression.

From left to right , Multiplication/Division followed by Addition/Subtraction.

21 / 3 + 8 - 4

= 7 + 8 - 4

= 15 - 4

= 11

Therefore, the answer is D

Answer:

D) 11

Step-by-step explanation:

Division and multiplication always comes first in an equation. Since there is no multiplication in the expression, we can divde first.

21 / 3 = 7

Our new expression will be: 7 + 8 - 4

Now we can just add (7) , (8), and (-4) not caring about the order, since they are all addition or subtraction.

I'll do the addition first, but order does not matter.

7 + 8 = 15

15 - 4 = 11

So 11 is our final answer.

Looking at the answer choices, D has 11, so D is our answer for this question.

Given the following formula, solve for a. 8=a+b+c/2

Answers

Making "a" the subject of the formula would give us: a = 8 - b - c/2

How to Solve for the Subject of Formula?

Given the formula, 8 = a+b+c/2, to make a the subject of the formula, we would isolate a in the equation.

8 = a+b+c/2

8 = (2a + 2b + c)/2

2(8) = 2a + 2b + c

16 = 2a + 2b + c

16 - 2b - c = 2a

Divide both sides by 2

16/2 - 2b/2 - c/2 = 2a/2

8 - b - c/2 = a

a = 8 - b - c/2

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Questions, are all in picture, please solve

Answers

The function represents a cosine graph with axis at y = - 1, period of 6, and amplitude of 2.5.

How to analyze sinusoidal functions

In this question we have a sinusoidal function, of which we are supposed to find the following variables based on given picture:

Equation of the axis - Horizontal that represents the mean of the bounds of the function.Period - Horizontal distance needed between two maxima or two minima.Amplitude - Mean of the difference of the bounds of the function.Type of sinusoidal function - The function represents either a sine or a cosine if and only if trigonometric function is continuous and bounded between - 1 and 1.

Then, we have the following results:

Equation of the axis: y = - 1Period: 6Amplitude: 2.5The graph may be represented by a cosine with no angular phase and a sine with angular phase, based on the following trigonometric expression:

cos θ = sin (θ + π/2)

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A car is valued at $35400 at the start of the year, and at $25700 at the end of that year. During that year, the car travelled 25000kms.
a) Find the total depreciation of the car in that year in dollars
b) Find the depreciation per kilometre for this car
c) Using (initial value) -> V₀ = 35400, write down a rule for the value of the car Vₙ after ₙ kilometres
d) How many kilometres are travelled when the value of the car is $6688?
e) Including the first year of travel, how many kilometres in total is this car expected to drive before it has a value of 0?

Answers

a. Total depreciation = $9700

b. Depreciation per kilometer = $0. 388 per kilometer

c. Vₙ = $35400 +  ₙt

d. Distance = 4723. 16 kilometers

e. Total distance =  29723. 16 kilometers.

How to determine the depreciation

i. The formula for total depreciation is given as;

Total depreciation = Cost of asset - Residual value

Cost of car = $ 35400

Residual value = $25700

Total depreciation = $35400 - $25700

Total depreciation = $9700

b. Depreciation per kilometer = Total depreciation/ distance travelled in kilometers

Depreciation per kilometer = $ [tex]\frac{9700}{25000}[/tex]

Depreciation per kilometer = $0. 388 per kilometer

c. Vₙ = V₀ + ₙt

t = time of depreciation

V₀ = $35400

Vₙ = $35400 +  ₙt

d. When the car costs $35400, it travelled 25000 kilometers

It costs $6688, it would travel 'x' kilometers

Cross multiply

$35400 × x = $ 6688 × 25000 kilometers

Make 'x' subject

x = [tex]\frac{6688 * 25000}{35400}[/tex]

x = [tex]\frac{167200000}{35400}[/tex]

x = [tex]4723. 16[/tex] kilometers

The car would travel 4723. 16 kilometers

e. To find the total distance

Total distance = 25000 + 4723. 16

Total distance =  29723. 16 kilometers.

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If the hypotenuse of a right triangle is 2 [tex]\sqrt{3}[/tex] units long and one of the legs is [tex]\sqrt{3}[/tex] units long, then how long is the other leg?


[tex]\sqrt{3}[/tex]

2[tex]\sqrt{3}[/tex]

3

Answers

Answer:

3

Step-by-step explanation:

a = the other leg:

[tex]a^{2} =(2\sqrt{3} )^{2} -(\sqrt{3}) ^{2} =(4)(3)-3=12-3[/tex]

[tex]a^{2} =9[/tex]

[tex]a=\sqrt{9}[/tex]

[tex]a=3[/tex]

Hope this helps

The side lengths of a triangle are 9, 12, and 15. Is this a right triang
O A. Yes, because 9² + 12² > 15².
O B. No, because 9 + 12 ‡ 15.
OC. Yes, because 9² + 12² = 15².
OD. No, because 9² + 12² # 15².

Answers

The side lengths of a triangle are 9, 12, and 15. Is this a right triang
O A. Yes, because 9² + 12² > 15².
O B. No, because 9 + 12 ‡ 15.
OC. Yes, because 9² + 12² = 15².
OD. No, because 9² + 12² # 15².

Answer is the A

Circle S is shown. Line segment R T is a diameter. The length of S T is 4. Sector R S T is shaded.

The measure of central angle RST is radians.

What is the area of the shaded sector?
4Pi units squared
8Pi units squared
16Pi units squared
20Pi units squared

Answers

The area of the sector in radians is calculated as: B. 8π units squared.

What is the Area of a Shaded Sector?

The area of a sector where the central angle of the sector that is shaded in a circle is given in radians is calculated using the formula that is expressed as:

Area of sector = (1/2) × r²θ; where we have:

θ = the angle subtended at the center/central angle measure in radians

r = the radius of the circle

Given the following:

The shaded area is half of the circle. Its measure would be 180 degrees which when expressed in radians would be π.

Central angle measure in radians (θ) = π

Radius (r) = 4 units

Plug in the values into the area of sector formula

Area of sector = (1/2) × r²θ = (1/2) × (4²)(π)

Area of sector = (1/2) × (16)(π)

Area of sector = (1 × 16 × π)(2)

Area of sector = (16π)(2)

Area of sector = 8π units squared

In conclusion, the area of the shaded sector in the image given below is calculated as: B. 8π units squared.

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HELP! 10 POINTS+Braniest

Answers

When the son is 8, the father is five times that so 8*5 = 40, difference between their ages is 32

twice as old 32*2 = 64

The father will be 64.

An elf, a dwarf, a hobbit, a wizard, and a man are sitting in a line.How many different ways can they sit if the elf and the dwarf insist on sitting next to each other

Answers

Answer: 24

Step-by-step explanation:

1. Number Them

Elf and Dwarf = 1

Hobbit = 2

Wizard = 3

Man = 4

* Elf and Dwarf are put together so that they are always sitting together

2. Multiply

1 x 2 x 3 x 4 = 24

Solve the congruence 3x=2(mod4)

Answers

Answer:

Step-by-step explanation:

jello :

3x=2(mod4)

multiply by ; 5

5×3x=5×2(mod4)

15x=10(mod4)

but : 15= -1 (mod4)   and 10= 2 (mod4)

-x=2 (mod4)

now multiply by ; -1 you have :  x= -2 (mod4)

-2=2(mod4)

conclusion : x=2 (mod4)  means : x=4k+2   k in Z

Given: Line l and line m intersect Prove: Image of perpendicular lines l and m with 1, 2, 3, and 4 as angles at the point of intersection Statements Reasons 1. Line l and line m intersect 1. given 2. is supplementary to 2. linear pair theorem 3. ? 3. ? 4. 4. congruent supplements theorem Which statement and reason best completes the proof? A. 3. is supplementary to 3. linear pair theorem B. 3. 3. definition of supplementary angles C. 3. 3. definition of supplementary angles D. 3. is supplementary to 3. linear pair theorem

Answers

An angle will always be formed when two or more lines intersect. These can form a series of complementary or supplementary angles. Complementary angles add upt o a right angle, while supplementary angles are two or more angles formed that add up to [tex]180^{o}[/tex]. Thus two supplementary angles can be referred to as a linear pair.

Therefore the required statements and reasons for the question are stated below:

          STATEMENT                                 REASONS

1. Line l and line m intersect                  Given

2. <1 is supplementary to <2,                        

   <3 is supplementary to <4                 Linear pair theorem

3. m<2 + m<3 = [tex]180^{o}[/tex],      

   m<3 + m<4 = [tex]180^{o}[/tex]                               Definition of Supplementary angles

4. m<1 + m<2  = m<3 + m<4 = [tex]180^{o}[/tex]        Congruent Supplement Theorem

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Answer:

Step-by-step explanation:

  <3 is supplementary to <4                 Linear pair theorem

I took the plato test and got it right

more math i need help in please nd thank u

Answers

The value of x when y = 1.728 and z = 5 in the inverse variation y = (k × x²) / z³ is 36

Inverse variation

The types of variation are;

Inverse variationDirect variationJoint variation

y = (k × x²) / z³

where,

k = constant of proportionality

If y = 12, x = 4 and z = 2

y = (k × x²) / z³

12 = (k × 4²) / 2³

12 × 2³ = k × 4²

12 × 8 = k × 16

96 = 16k

k = 6

Find x when y = 1.728 and z = 5

y = (k × x²) / z³

1.728 = (6 × x) / 5³

1.728 × 5³ = 6x

1.728 × 125 = 6x

216 = 6x

x = 216/6

x = 36

Therefore, value of x when y = 1.728 and z = 5 in the inverse variation y = (k × x²) / z³ is 36

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Robert, Richard and David were working on a project to redesign coke cans. First, Robert measured the original coke can and found the circumference to be 8.6 inches. Richard measured the height to be 15.2 cm.
David calculated the volume to be 131.3 cm3.
Choose the true statement(s) below.

Select one or more:
a.David's calculations are incorrect, he needed to convert centimeters to inches before finding the radius then use the area of the base times the height .

b.David is correct.

c.David's calculations are incorrect, he used the circumference and the height to find the volume.

Answers

The true statement is David's calculations are incorrect, he used the circumference and the height to find the volume.

Volume

Correct calculation:

Height = 15.2 cmCircumference = 8.6 inches

C = 2πr

8.6 = 2 × 3.14 × r

8.6 = 6.28r

r = 8.6/6.28

r = 1.36942675159235 inches

convert 1.36942675159235 inches to cm

= 3.478343949044569 cm

Approximately,

r = 3.5 cm

Volume = πr²h

= 3.14 × 3.5² × 15.2

= 3.14 × 12.25 × 15.2

= 584.668 cm³

Approximately,

volume = 584.7 cm³

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Clarie has $300 in an account. She decides she is going to take out half of what's left in there at the end of the month. (This is for geometric sequence, Math 1 btw and I gotta graph it)

Answers

The expected money deposited in Clarie's account in next 12 months is listed below:

300 (Initial value)1507537.5018.759.384.692.341.170.590.290.140.07

How to derive and graph a geometric sequence

First, we must derive a formula that will generate the geometric sequence for the money remaining in Clarie's account:

[tex]c = c_{o}\cdot \left(1 + \frac{r}{100} \right)^{t}[/tex]     (1)

Where:

[tex]c_{o}[/tex] - Initial money deposited in Clarie's account.r - Decrease rate, in percentage.t - Number of periods, in months.

If we know that [tex]c_{o} = 300[/tex] and r = - 50, then the money left for each month is shown in the image attached below.

Remark

The image quality is poor to the point of being very hard to read. However, it coincides with the complete statement, which is presented in the question.

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Determine the present value of quarterly payments of $450 for 6 years at 7.5% annual interest, compounded quarterly. PV= R[(1+i)^-n]/i

Answers

Using it's formula, the present value of the amount is: $288.

What is the present value formula?

The present value formula is:

[tex]PV = \frac{R}{(1 + r)^n}[/tex]

In which the parameters are:

R is the future value.r is the interest rate.n is the number of periods.

Considering quarterly compounding, the parameters for this problem are as follows:

R = 450, r = 0.075/4 = 0.01875, n = 6 x 4 = 24.

Hence the present value is:

[tex]PV = \frac{R}{(1 + r)^n}[/tex]

[tex]PV = \frac{450}{(1.01875)^{24}}[/tex]

PV = $288

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Whats the solution √x-6-x-12

Answers

I believe you want the simplified version of this expression, thus the simplified version is √x-18-x.

i need a detailed explanation

Answers

The equation of the line in explicit form is y = - 2 · x + 5, whose implicit form is 2 · x + y = 5. (Correct choice: D)

How to find the equation of the line for the height of a triangle

In this question we must find the equation of the line perpendicular to the segment BC and that goes through the point A(x, y) = (1, 3). First, the slope of the line segment BC is:

m = [1 - (- 3)]/[5 - (- 3)]

m = 4/8

m = 1/2

And the slope of the line is:

m' = - 1/(1/2) = - 2

The intercept of the line is found by using the explicit form of equation of the line, m' = - 2 and (x, y) = (1, 3):

3 = - 2 · 1 + b

b = 5

The equation of the line in explicit form is y = - 2 · x + 5, whose implicit form is 2 · x + y = 5. (Correct choice: D)

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The ratio of broken ribs to broken collarbones
during last year's rugby season was 2 to 3. If
there were 18 broken ribs, how many broken
collarbones were there?

Answers

It’s 27 I’m pretty sure

Because 18 divided by 2 gives you 9, then you would add the 9 onto the 18

The vertices of polygon ABCD are at A(1,1), B(2,3), C(3,2), and D(2,1). ABCD is reflected across the x-axis and translated 2 units up to form polygon A' B'C'D' to it's coordinates.

Answers

The coordinates of the polygon A'B'C'D' following a reflection across the x-axis and a translation 2 units up are;

A'(1, 1), B'(2, -1), C'(3, 0), and D'(2, 1)

How can the coordinates of the image be found?

The vertices of the polygon are;

A(1, 1), B(2, 3), C(3, 2), and D(2, 1)

Reflection over the x-axis gives;

(x, y) reflection across the x-axis → (x, -y)

Which gives;

A(1, 1) R x-axis → A''(1, -1)

B(2, 3) R x-axis → B''(2, -3)

C(3, 2) R x-axis → C''(3, -2)

D(2, 1) R x-axis → D''(2, -1)

Translation of the points ABCD 2 units up gives;

A''(1, -1) T(0, 2) → A'(1, -1 + 2) = A'(1, 1)

B''(2, -3) T(0, 2) → B'(2, -3 + 2) = B'(2, -1)

C''(3, -2) T(0, 2) → C'(3, -2 + 2) = C'(3, 0)

D''(2, -1) T(0, 2) → D'(2, -1 + 2) = D'(2, 1)

The coordinates of A'B'C'D' are therefore;

A'(1, 1), B'(2, -1), C'(3, 0), and D'(2, 1)

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If im trying to get 20 million dollars and i get 300$ per second how long will it take to reach my goal

Answers

Answer:

66666.66 seconds, or 1111.12 minutes

Step-by-step explanation:

Since you are earning 300 dollars per second, and you want to earn 20 million, or 20000000 dollars, you can divide 20 million by 300 to get the time it takes to reach your goal in terms of seconds:

[tex]\frac{20000000}{300}=66666.66[/tex] seconds

It will take you approximately 66667 seconds to reach your goal. If we divide by 60 to get this in terms of minutes, we get that it takes about 1111.12 minutes

Answer:

66.666.6 seconds

1,111.11 minutes

18.518518518499999 hours

Step-by-step explanation:

20,000,000÷300

=66,666.6666666

Change in minutes= 66,666.6666666÷60 =1,111.1111111

Change in hours= 1,111.11111111÷60=18.518518518499999

can someone help me!!

Answers

I think ur supposed to r

the accompanying diagram shows a kit that has been secured to skate in the ground with a 20-foot string. the kit is located 12 feet from the ground, directly over point X. what is the distance, in feet, between the skate and point X.

Answers

The distance between the skate and point X is 16 feet

Given that the distance between point X and kite is 12 feet

and the distance between stake and kite is 20 feet

We need to find the distance between the stake and point X

Here,

Perpendicular = 12 feet

Hypotenuse = 20 feet

Base = ?

According to Pythagoras Theorem

(Hypotenuse)² =  (Perpendicular)²+(Base)²

(20)² = (12)² + (Base)²

∴ (Base)² = 400 - 144

∴ (Base)² = 256

∴ Base = 16 feet

Hence the distance between the Point X and the stake is 16 feet

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need help with the y value

Answers

Answer: 12x

Step-by-step explanation:

The question is asking what equation models the table above. You have to make an equation that when any of the times on the left column are plugged in, the value on the right column are outputted.

For 1, the equation should output 12. For 2, the equation should output 24. For 3, the equation should output 36, and so on.

Here, we see a pattern: for every value we input as the number of seconds, the height is 12 times more than that. Assuming x is the time and y is the height,

[tex]y=12x[/tex]

If we use any x on the left, it's corresponding height will be the y.

IS ANYONE ABLE TO HELP ME PLEASE ASAP

Answers

Answer:

36

Step-by-step explanation:

To answer this question, we need to first understand the notation (f · x)(-2). This is a composite function, and another way to write this is f(g(-2)). This means that we have to find g(-2) and apply the function f to whatever this value is. Let's start by finding g(-2):

[tex]g(x)=x-2\\g(-2)=-2-2\\g(-2)=-4[/tex]

Now that we know g(-2) is -4, we can apply this to f:

[tex]f(x)=x^2-4x+4\\f(-4)=(-4)^2-4(-4)+4\\f(-4)=16-(-16)+4\\f(-4)=16+16+4\\f(-4)=36[/tex]

Therefore, our answer is 36

Im one paragraph, summarize the purpose of the graphic and its key findings

Answers

The purpose of the graphic is to show the relationship between different educational qualifications and unemployment rate.

What is Unemployment?

This is a situation in which employable individuals look for jobs and are unable to find one.

The key findings in this graphic is that the higher the level of education, the lesser the unemployment rate.

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A shipment of 60 highly sensitive accelerometers is to be accepted or rejected based on the testing of 5 chosen randomly from the lot. The shipment will be rejected if more than 1 of the 5 fail. It is known that 10% of the shipment does not meet the specifications. Let X denote the number of units that fail.

Answers

The value of X that number of unit fails are 1/12.

According to the statement

we have a given that the there is a shipment of 60 highly sensitive accelerometer. And there is a testing of randomly 5 accelerometers.

And we have to find that the how much units that fails in the specifications.

So,

We find the value of X by use of Probability.

The probability that unit fails = number of units that chosen randomly / total units.

So, substitute the values in it then

The probability that unit fails = 5 / 60

The probability that unit fails = 1 / 12.

The probability that unit fails from 60 accelemoters  is 1 / 12.

So, The value of X that number of unit fails are 1/12.

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This painting demonstrates Giotto's innovative use of: Chopin never published his "FantasieImpromptu," and itwas almost lost whenA. Chopin made his sister promise to burn it after his death.B. Chopin forgot where he put it.C. it was left out in the rain. A temporary permit to practice nursing issued to a graduate of a board-approved nursing educational program Can someone please help me on this As a manager applying reinforcement theory, what methods would you use to reduce the frequency of an undesired behavior? Which of the following is not a characteristic that defines life? Living things A. grow and develop. B. are made up of cells. C. do not require energy. D. maintain homeostasis. Emily can read 30 pages in 45 minutes. At this rate, how many pageswill she read in 3 hours? Attached as an image below. Find the missing side of the triangle. pythagorean 4 A. 337 km B. 5 km C. 193 km D. 112 km Find the difference between Simple interest and compound interest on 1200 for one year at 10% per annum A guide pointed out the pyramids to me change into passive voice The figure below shows a motorcycle leaving the end of a ramp with a speed of 39.0 m/s and following the curved path shown. At the peak of the path, a maximum height h above the top of the ramp, the motorcycle's speed is 37.1 m/s. What is the maximum height h? Ignore friction and air resistance. (Enter your answer in m.)_____m Humans do not have significantly more genes than some other animals, for instance, the nematode worm C. elegans. What accounts for the diversity of cell types and functions in humans relative to C. elegans or D. melanogaster What is dog whistle politics Nathan shares out 12 sweets he gives yasmin 1 sweet for 3 sweets he buys how many sweets does nathan get Determine the intercepts of the line. Do not round your answers. 7x-5=4y-6x intercept: (_),(_)y intercept: (_),(_)Please help! Can 1775 dollars buy 2 large balloons and 16 small balloons 1 large balloon = 300 cubic feet 1 small balloon - 40 cubic feet helium costs $1.60 per cubic foot 3. Mr. Black's pay increased by 15% when he got a raise, bringing his new salary to $184. What was Mr. Black's original pay? Imagine que su to vende un caballo de raza y nesesita una una carta de venta en la cual se establezca el acuerdo entre el vendedor y el comprador A boat traveled north for 28 miles, then turned x southwest and traveled for 25 miles before stopping. When it stopped, the boat was 18 miles from its starting point. A triangle shows the course of a boat. Starting at the dock, it travels 18 miles to the left, then 25 miles up and to the right, and then 28 miles down and back to the dock. The angle between 25 miles and 28 miles is x degrees.Law of cosines: By how many degrees did the direction of the boat change when it made its first turn? Round to the nearest degree.30 degrees39 degrees46 degrees