The map below shows the length of a proposed land bridge at Phil Hardberger Park. The length of the land bridge is represented by PH
in the map below.
P(2,55)
H(32, 15)
On the map, each unit represents 1 yard. To the nearest yard, what is the actual length of the land bridge from P to H?
A 50 yards
B. 150 yards
C. 78 yards
D. 234 yards

Answers

Answer 1

Answer:

A. 50 yards.

Step-by-step explanation:

Given the coordinates of the length of PH as P(2,55)  and H(32, 15), to get the actual length of the land bridge from P to H, we will use the formula for calculating the distance between two points.

D = √(x₂-x₁)²+(y₂-y₁)²

PH = √(32-2)²+(15-55)²

PH = √(30)²+(-40)²

PH = √900+1600

PH = √2,500

PH = 50

Hence the actual length of the land bridge from P to H to the nearest yard is 50 yards.


Related Questions

If f(x)=2x+4 and g(x)=x-5, find (f-g)(x)

Answers

Answer:

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Step-by-step explanation:




To get an A in a Psychology class, you must have an average
of 90 points for 3 tests of 100 points each. For the first 2 tests,
your scores are 84 and 93. What must you score on the 3rd
test to earn a 90% average?

Answers

Should be 94 for the 3rd

Two parallel lines were cut by a transversal. Which of the following
scenarios is NOT a possible result?
1 point
a pair of same side interior angles with measures of 65 and 115°
a pair of alternate exterior angles with measures of 130 and 50°
a pair of supplementary angles with measures of 110' and 70°
a pair of corresponding angles with measures of 40° and 40°
Send me a copy of my responses.
Submit

Answers

Answer:

B. a pair of alternate exterior angles with measures of 130° and 50°

Step-by-step explanation:

Alternate exterior angles formed when two parallel lines are cut across by the same transversal line, are said to be congruent.

Therefore, a pair of alternate exterior angles cannot have different angle measures of 130° and 50°. Rather, both alternate exterior angles should be of equal measure of degree.

All other scenarios are possible result except option B: "a pair of alternate exterior angles with measures of 130° and 50°".

Option B is correct. "A pair of alternate exterior angles with measures 130 and 50degrees".

If two lines are cut by a transversal, line geometry is formed.

The following angles are formed by the transversal;

alternate interior and exterior anglesupplementary angles (sums up to 180degrees)pair of corresponding anglespair of vertically opposite angles (from intersection of two lines that formed X)

Note that alternate exterior angles are obtuse angles (greater than 90 degrees). This statement falsifies the second option which says that "a pair of alternate exterior angles with measures 130 and 50degrees. 50 degrees" is an acute angle not obtuse.

 

Learn more here: https://brainly.com/question/11291214

(10, -8) and (1, 12).
Find the slope of the line

Answers

Answer:

2/9

Step-by-step explanation:

the formula for slope is y2-y1 over x2-x1. So the equation would be 12-10 over 1-(-8) which is equal to 2/9

Identify the first step to find the equation below.

Answers

Answer:

You would subtract the 7

Step-by-step explanation:

25 POINTS!!! Under a dilation centered at the origin, the vertex, (2, 3), of a polygon is moved to the point (−8, −12) . What is the scale factor of the dilation? Enter your answer in simplified form in the box.

Answers

325

Step-by-step explanation:

(x+8)2+(y+12)2=235

The scale factor of the point will be ( 1 /  4).

What is a scale factor?

The scale factor is defined as the proportion of the new image's size to that of the previous image. Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.

Given that under a dilation centered at the origin, the vertex, (2, 3), of a polygon is moved to the point (−8, −12).

The scale factor will be calculated as below:-

Scale factor = ( 2 / 8 ) = ( 1 / 4 )

Therefore, the scale factor of the point will be ( 1 /  4).

To know more about scale factors follow

https://brainly.com/question/25722260

#SPJ2

Jocelyn compiled data on the number of hours students work per week the summer after senior year. The minimum number of hours in the distribution was 23. The range was 17. What is the maximum number of hours in the distribution?

Answers

Answer:

40

Step-by-step explanation:

The maximum number of hours in the distribution will be 40.

What is a range?

A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values. The disparity between values in a data collection can be measured most simply using the range. The range can be calculated by simply disregarding the other values and subtracting the lowest value from the highest value.

Given that the minimum number of hours in the distribution was 23. The range was 17.

Range = Maximum number - Minimum number

17 = Maximum number - 23

Maximum number = 17 + 23

Maximum number = 40

Therefore, the maximum number of hours in the distribution will be 40.

To know more about the range follow

https://brainly.com/question/24326172

#SPJ2

What is the value of x in the equation –2.4x = 8.4?
1. –20.16
2. –3.5
3. 3.5
4. 20.16

Answers

Answer:

2. -3.5

Steps:

divide both sides by by (-2.4): -2.4x ÷ (-2.4) = 8.4 ÷ (-2.4)

any equation divided by itself equals 1 so that would be the right side: x = 8.4 ÷ (-2.4)

divide the equation on the left and get: x = -3.5

Answer:

-3.5

Step-by-step explanation:

im genius

Identify the transformation from c to d. A) 360 rotation,B) 270 Clockwise Rotation,C) 90 Clockwise rotation,D) 180 rotation?

Answers

Answer:

A) 360 rotation

Step-by-step explanation:

Answer:

360

Step-by-step explanation:

Write an equation
Jason is attending the Indiana State Fair, where the
admission is $10.00. It costs $5.50 for each ride.
a
1

Answers

Answer:

y= $5.50x+$10.00

Step-by-step explanation:

Admission is $10. Depending on how many rides you're going ride is how much you multiply $5.50 by.

Which rule best describes the following pattern? 8, 4, 10, 6, 12, 8, 14, ...​

Answers

-4+6

or it could be written out as

n-4+6=x

What is the value of f(x)=12x+5 when x=4?

Answers

Answer:

If 53 wrong then I am sorry.

Step-by-step explanation:

While studying a population of porcupines, a group of scientists caught and tagged 140 porcupines. A week later, the scientists counted 180 porcupines and saw that 14 of them had tags. To the nearest whole number, what is the best estimate for the porcupine population

Answers

Answer:

400

Step-by-step explanation:

140 + 180

= 320

estimate is 400.

what is the measure for

Answers

Answer:

148

Step-by-step explanation:

180-32 cuz supplementary angle minus premade angle

9/11 decimal equivalent

Answers

Answer:

.81 repeating (meaning it has a line over it and it goes on forever as 81818181 etc.)

Step-by-step explanation:

hope this helped a little bit :)

Answer:

0.818181

Step-by-step explanation:

the answer goes on forever so do 0.81 with a bar over it

Jamal has $35 to spend at the mall. If pairs of shorts are $9.99, how many can he buy?

Answers

$35 / $9.99 = 3.5 pairs of shorts

We have to round down because you cannot buy half a pair of shorts

The correct answer is 3 pairs of shorts.

Answer: he can buy 3 pairs

Step-by-step explanation: $9.99 x 3 = $29.97 | $9.99 x 4 = $39.96

The graph of f(x) is shown below.
For each point (a,b) on the graph of y = f(x), the point ( 3a - 1, b/2) is plotted to form the graph of another function y = g(x). For example, (0,2) lies on the graph of y = f(x), so (3 * 0 - 1, 2/2) = (-1,1) lies on the graph of y = g(x).
(a) Plot the graph of y = g(x). Include the diagram in your solution.
(b) Express g(x) in terms of f(x).
(c) Describe the transformations that you would apply to the graph of y = f(x) to obtain the graph of y = g(x). For example, one transformation might be to stretch the graph horizontally by a factor of 5

Answers

(a) I have attached the graph.

(b) The function g(x) is given by g(x) = f(2x + 2)/3.  You can work this out algebraically.  You can also work this out by using the graph of the function.

(c) We can obtain the graph of y = g(x) from the graph of y = f(x) through the following transformations:

* stretch horizontally by a factor of 2

* stretch vertically by a factor of 3

* shift downwards by 2 units

Solve the inequality for x.
8x-30< -5 (4- 2x)
_

Answers

Answer:

x > _ -5

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below =)

Our work: -2x + 4 = 5 - 3x

Answers

Answer:

x=1

Step-by-step explanation:

-2x + 4 = 5 - 3x

Add 3x to each side

-2x+3x + 4 = 5 - 3x+3x

x +4 =5

Subtract 4 from each side

x+4-4 =5-4

x =1

The square root of 53
falls between ____
and _____
but it's closest to _____
(*Your answers must be between -20 and 20)

Answers

Answer:

Falls between 7 and 8

Step-by-step explanation:

Square root of 53 is 7.28

Answer:

7.280109

Step-by-step explanation:

The square root of 53 is 7.28

8x (-2) divided by 4x0 =

Answers

Answer:

0

Step-by-step explanation:

Answer:

0

the answer is 0 because anything times o equals 0

Please help I'm in 4 grade and got this question hurry

Answers

Answer:

25

Step-by-step explanation:

[tex]3^2+4^2=9+16=25[/tex]

3 to the second power plus 4 to the second power equals 25!

-|-5 + 3 - 2| + 2 The answer is supposed to be six.

Answers

There is a typo somewhere because the answer is -2

Step by Step:
-|-5+3-2|+2
-|-4|+2
-4+2
=-2

what is the angle JKM???

Answers

Answer:

176°

Step-by-step explanation:

Since, KR bisects angle JKM, so, measure of angle JKM will be twice of the measure of angle RKM.

[tex]m\angle JKM = 2\times m\angle RKM \\ m\angle JKM = 2\times 88 \degree \\ \huge \red{ \boxed{ m\angle JKM = 176 \degree}}[/tex]

Which is the best estimation of the sum of 182, 325, 78, and 415?

Answers

Answer:

1000

Step-by-step explanation:

Add them together(182+325+78+415=1000) That's correct and that is the estimate!

Answer:

1,000

Step-by-step explanation:

Un bidon con aguatiene capacidad para 63 litros si el bidon tiene llena la tercera parte de su capacidad total cuantos litros le faltan para llenarlos completamente

Answers

Answer:

42 litros

Step-by-step explanation:

63 / 3 = 21

21 * 2 = 42

Is 13/1 rational or irrational?

Answers

Answer:

It is rational number not irrational number

11. Ben received 3% more votes than Sam during the team captain election. If Ben and Sam were the only two candidates, what percent of
all votes did Sam receive?

A 47%
B 47.5%
C 49%
D 48.5%

Answers

the answer is A.) 47%

i’m pretty sure

Help please, click the other pictures to see the answer choices. #1 is the first blank #2 is the second blank answer choices.

Answers

Answer:

"Side-Angle-Side" and "can be proven congruent"

Step-by-step explanation:

It is SAS because you are given that two of the sides and one angle are congruent, meaning that you can use SAS to prove that the two triangles are congruent.

A family spent $93 at a carnival. They spent $18 on tickets to the carnival and $36 on food.They spent the rest of the money on games. Write and solve an equation representing how much money, in dollars, the family spent on games.

Answers

Answer:

$93-$18-$36=$39

$39

Step-by-step explanation:

Answer:

18 + 36 + 39 = 93  The family spent $39 on games.

Step-by-step explanation:

18 + 36 + g = 93

I'm using "g" to substitute the number of money they spent on games. To find what that is, you simply add 18 and 36.

18 + 36 = 54

So we know they used 54 dollars on tickets and food. Now we can take that away from the total amount spent.

93- 54 = 39

Here we can tell that the amount the family spent on games was 39 dollars. Or in other words, g = 39

Hope that helps and have a great day!

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