# How Do You Calculate A Perpendicular Slope

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### HORIZONTAL CURVES

Calculate the tangent distance and tangent offset for each station: β = 100 Stationing For each station to be established: γ = D β * station number on curve

### Slopes of Parallel and Perpendicular Lines

What do you notice about the slope of Line a and the slope of Line b? Y2 Calculate the slopes of both lines. m Lines I and m are perpendicular. If the slope of

### ADVANCED BLASTING: INVESTIGATION AND ANALYSIS OF ADVERSE EFFECTS

vibrates perpendicular to the P Wave. Only travels in solids. Surface Waves: rolling, shaking motion Rayleigh (R) Waves Behaves like water waves with an elliptical motion Love (L) Waves Shear motion in a horizontal plane, therefore most destructive & fastest of the surface waves.

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### unit 3 part 1

6. Do you think that all sand on Earth has the same density? Suggest a factor that could result in variations in the density of a particular Earth material. 7. Using the masses that you calculated above, calculate the weight of each block (W) and record your answers in the table. Part 2: Forces on an incline W = F G F S F N θ 8.

### Calculus: The Slope of A Curve

7B Slope of Curve 4 Definition: The slope of a function, f, at a point x = (x, f(x)) is given by m = f '(x) = f '(x) is called the derivative of f with respect to x. Other names for f '(x): slope instantaneous rate of change speed velocity EX 2 Find the derivative of f(x) = 4x - 1

### PF1.2: FORCES ON SLOPES

The resultant force ΣF perpendicular to the slope is zero, hence: mgcosθ = F N Example A toy car of mass 50g travels down a smooth incline at 30 degrees to the horizontal. Friction may be ignored. Calculate (a) the net force acting on the car as it rolls down the slope, and (b) the force of the incline on the car as it travels down the slope.

### Unit 10 Connecting Algebra and Geometry Through Coordinates

Determine the slope of the image. e. What do you notice about the slopes of the two line segments? f. Now rotate the original segment 90° clockwise. Before using a sketch, predict the coordinates of the rotated endpoint using what you know about the perpendicular slope of the rotated segment.

### TIMBER CRUISE REFERENCE GUIDE - Tuolumne County, CA

Slope Correction Factor Method: 1. Measure vertical height to tree tip from a point perpendicular to tree lean. 2. Measure angle of tree lean, reading from the side of clinometer (in Degrees). 3. Subtract the degree reading from 90 R 4. Find slope correction factor for step 3 angle. 5. Multiply vertical height by slope correction factor.

### Circumference vs. Diameter

If you do not want the children to use decimals, then round 3.14 off to 3! Although you lose accuracy (~5%), you call on the children s ability to multiply and divide in their heads or to use the calculators without decimals. But this is a wonderful chance for the children to use their calculators and to handle decimals.

### CH 41 SPECIAL L

The Slope of a Vertical Line Do you remember what the graph of x = 2 looks like? Go back to Example 2 and recall that it s a vertical line with x-intercept ( 2, 0). To obtain the slope of this line, we ll use the points ( 2, 0) and ( 2, 5): = = = = = 5 0 5 5 2 ( 2) 2 2 0 y m x Undefined

### The Gradient and the Level Curve - Whitman People

An alternative would be to nd the slope of the line through (a;b) in the direction of the gradient (our book calls this the normal line). If this line is perpendicular to our tangent line, then the slopes ought to be negative reciprocals of each other. Example: The gradient is rf = h2x;2yi, so at (1;3), the gradient is rf(1;3) = h2;6i.

### Parallel or Perpendicular - What's Your Inclination?

Construct a point above the line. Press F4 and choose 1:Perpendicular Line. Construct a line through the point perpendicular to the given line. Press F6 and choose 4:Slope. Measure the slope of each line. Press F6 and choose 6:Calculate. Press the top arrow on the cursor pad to select the slope of the original line and press ENTER. This

### A4, Empower3 Processing Tips and Tricks

When the average slope of the signal between the 3 bunches is ≥ the liftoff threshold value, point B1 is flagged as possible peak start Individual points in bunch B1 is then examined to determine peak start = data point with lowest Y-value 2 slope 1 slope 2 average slope + = t 2 - t 1 B2- B1 slope 1= t 3 - t 2 B3- B2 slope 2 =

### 11. THE STABILITY OF SLOPES

to height. This is defined as the ratio between the maximum height of a slope to the actual height of a slope and may be expressed as follows: FH = Hmax H (11.5) The factors of safety F c, F φ, F H are only occasionally used in slope stability analyses. The factor of safety with respect to strength (F) as expressed in equation (11.2), is the

### Stormwater Best Management Practice Silt Fences

there is a long steep slope, install one fence near the head of the slope to reduce the volume and velocity of water flowing down the slope, and another fence 6 10 ft from the toe of the slope to create a sediment storage area near the bottom. A common misconception is that you only have to worry about water running off steep slopes.

### Classifying Equations of Parallel and Perpendicular Lines

does this affect how you calculate the slope? Provides insufficient reasoning For example: The student does not explain how looking for parallel and perpendicular lines relates to the task of finding the sides of the rectangle (Q1). Why is looking for slopes of pairs of parallel and perpendicular lines relevant? How do you know that

### FREQUENTLY ASKED QUESTIONS: RESIDENTIAL

perpendicular to ground contours must be used. In order to calculate the slope, you will need a topographic map of your property. Permit Center staff may be able to provide a topographic map of your property, which can be used for rough calculations of your lot s slope. A calculation of slope based upon these maps may be accepted as part of the

### Physics Final Exam Study Guide

3. Explain how to calculate the slope of a line on a graph. Give 2 examples. 4. Explain the difference between scalar and vector qualities and examples of each. 5. List what measurements can have negative values and what the negative values mean. 6. Explain how to interpret displacement-time, velocity-time, and acceleration-time graphs.

### Infinite Algebra 1 - Parallel & Perpendicular Slopes

Find the slope of a line perpendicular to each given line. 13) x - y = 0 14) x + 2y = 6 Write the slope-intercept form of the equation of the line described.

### Exploring the Slopes of Parallel and Perpendicular Lines

4. Find the slope of line w and line h. What do you notice about the slopes of perpendicular lines? 5. Now try multiplying the slope of line w and the slope of line h. (Calculate tool) What do you notice? Drag the result to the top of the screen and label the result product of slopes 6. Grab line w and move it to a different location.

### Stress Strain Relationships

t ⇒ Tangent Modulus - Slope of the stress-strain curve above the proportional limit. There is no single value for the tangent modulus; it varies with strain. G ⇒ Shear Modulus - Slope of the initial linear portion of the shear stress-strain diagram. G (Steel) ≈ 12 x 106 psi G (Aluminum) ≈ 4 x 106 psi

### Dimensionality and the Geometry of Location Activity

Exploring Slopes of Parallel and Perpendicular Lines Page 10 Investigation II: Perpendicular Lines 1. On the next page various pairs of lines are shown. Calculate the slope of each line and record the results in the table below. Slope 1 Slope 2 a 2 1 − 2 b 3 1 − 3 c 0 undefined d -4 1 4 e 1 3-2 f -1 1 2. What pattern do you notice about the

### Lecture 12: Slope Stability

Lecture 12: Slope Stability Key Questions. 1. How do friction and cohesion work together to stabilize slopes? 2. What is trying to pull slope material down?

### Section 6.2: Slopes of parallel and perpendicular lines

(perpendicular) to sl ope of AD. BUT we know that AD slope is same as BC since it s a parallelogram. Also slope AB = slop e CD since it s a parallelogram. So, calc slope of any 2 line s you think are perpendic. Then compare. text did slope of AB & slope of BC.

### LIT-095 Irrigation Notes: Slope Irrigation

Mid-slope sprinkler heads should be installed at an angle into the slope. The recom-mended angle is halfway be-tween vertical and perpendicu-lar to the slope. (This is half of the angle of slope. For example, a 2:1 or 50% slope has an angle of 26 degrees, so tilt the head 13 degrees into the slope from the perpendicular.) See the sprinkler

### Plan Symbol Description When and Where to Use It Materials

Calculate the unit available area by multiplying the fence height by the ground slope. Obtain the potential ponding area by multiplying this unit area by the available fence length. Using the calculated ponding area, calculate the ratio and enter the value in Figure SF-1 to determine the trapping efficiency.

### aMerican Forests chaMpion trees Measuring guidelines handbook

diagram shows where you take the measurement. 4. Be sure that the tape is perpendicular to the axis of the trunk. Note that these steps do not change if the trunk splits above 4.5 feet from the mid-slope spot as long as we are dealing with one tree. If the tree is also leaning, the following diagram applies.

### Finding Equations of Parallel and Perpendicular Lines

others aren t. How does this affect how you calculate the slope? Student reasoning is insufficient For example: In Q1 the student does not explain how looking for parallel and perpendicular lines relates to the task of finding the sides of the rectangle. Why is looking for slopes of pairs of parallel and perpendicular lines relevant

### CONTOURS, GRADES & SLOPES

What if you are given a top and bottom of slope elevation and a slope ratio and need to find the length (run) of the slope? Run?? Fall. Slope Ratio. Fall = Top Bottom Slope Ratio. Run = Fall x Slope Ratio Run. Fall?? Slope Ratio What if you are given a slope ratio and need to find how much the slope falls over a given length? Run

### NOTES: SOLVING LINEAR EQUATIONS DAY 1

#4. Determine the Slope of a Perpendicular Line. Step 1: Use the equation to find the slope (m) of the line. Write it as a fraction. Step 2: Calculate the negative (opposite) reciprocal of that slope. That is the slope of a line perpendicular. #20a. Find the slope of

### Geometry Study Guide Chapter 3 Parallel & Perpendicular Lines

2. Do you understand Problems 1, 3, & 4? 3. Do you understand how to do these problems? p. 160; 1, 2, 6, 8, 10, 15, 16, 17-26 3-4 Parallel & Perpendicular Lines 1. Can you describe how multiple parallel and perpendicular lines relate to each other? 2. Do you understand Problems 1, & 2? 3.

### January 09 2013 02.GWB - 1/19 - Wed Jan 09 2013 13:33:15

Calculate the slopes of parallel and perpendicular Lines Line t -22=-3 1 m: me-L=-l 3 What do you notice about the slope of Line k and the slope of Line t'? CONCLUSION What do you call lines which intersect at 900 angles? What can you conclude about the slope of such lines? Look back at each example above, what do they all have in common?

### ADA Accessibility Survey Instructions: Curb Ramps

The running slope of the curb ramp is the slope in the direction that people travel when going up or down the ramp run. The arrow in the illustration to the left, aligned parallel to the ramp run and perpendicular to the curb, shows where to measure the running slope. For new construction (when the curb ramp was

### Phreatic Line Calculation and Stability Analysis of Slopes

(2) The phreatic flow parallel with slope surface is caused by water-level fluctuation and the rainfall infiltration causes that phreatic flow perpendicular to slope surface; (3) The reservoir water level is decreasing at a constant speed of V 0; (4) The reservoir bank is considered as a vertical slope. The reservoir bank within the

### Solving Equations Involving Parallel and Perpendicular Lines

Example Find the slope of a line perpendicular to the line whose equation is 3x 7y = 6. y 3x = 2 y = 3x + 2 The slope of the given line is 3. 3(m) = 1 m = 3 1 − Write equation in slope-intercept form. Let m stand for the slope of the perpendicular line. The slope of any line perpendicular to the given line is 3 1 − 3x 7y

### Coordinate Geometry: Parallel and Perpendicular Slopes 5th

Calculate the distance, slope, midpoint and equation of a line using various formula. Understand the difference between parallel and perpendicular lines. Understand that parallel have slopes that are the same. Understand why it is that perpendicular slopes are negative reciprocals of each other, and that the product of two

### Lesson 4-9 Rotations and Perpendicular Lines

Step 3 Calculate R W to graph A'B' AB under R 90. Describe any relationships you notice between these two line segments. Step 4 Calculate the slope of AB and the slope of A'B' related to the other? The results of the Activity can be generalized to prove the following theorem. Perpendicular Lines and Slopes Theorem (Part 1)

### 1 Range of Projectile Motion

Neither of them is correct. If you throw a ball at 45 on a slope of, say, 60 , then you re practically throwing the ball toward the slope so the range is actully zero. (We ignored the height of the launch point.) If you throw a ball at an angle of 45 to the slope of 45 , you re actually throwing a ball straight up, and the range is again