
Kathy is changing the tire of her car on a steep hill 20 m high. She trips and drops the 10 kg spare tire which rolls down the hill. What is the speed of the tire at the top of the next hill if the height of the hill is 5 m high?

THE Perimeter of a triangle is 2004. One Side of a triangle = 21 Times the other. the shortest side is integral length. SOLVE For lengths of the sides of the traingle in every possible case.

the perimeter of a triangle is 51 centimeters, the longest side is 1 centimeter less than the sum of the other two sides. twice the shortest is 11 centimeters less than the longest side. find the lengths of each side of the triangle.

An 800.0 kg roller coaster car is at rest at the top of a 95 m hill. It rolls down the first drop to a height of 31 m. When it travels to the top of the second hill, it is moving at 28 m/s. It then rolls down the second hill until it is at ground level.

At the airport they have people movers (horizontal escalators). Your friend decides to use the people mover and since you've been sitting decide to walk along side. You would like to continue your conversation and thus need to continue moving at the same


1.What is the unit rate for Fred's Sub shop?(Will post photo/link in the comments) A. $10 for 2 subs B. $5 for 2 sub C. $1 for 1/5 of a sub D. $30 for 6 subs 2. What is the slopeintercept equation for the cost of a sub at Fred's sub shop? A. y = 2x B. y =

4. An 800.0 kg roller coaster car is at rest at the top of a 95 m hill. It rolls down the first drop to a height of 31 m. When it travels to the top of the second hill, it is moving at 28 m/s. It then rolls down the second hill until it is at ground

From a point on the ground a person notices that a 110ft tree on top of a hill subtends an angle of 3°. If the angle of elevation to the bottom of the tree, represented by angle A in the figure below, measures 37°, find the height h of the hill

The lengths of the sides of a triangle are 6,7, and 9. What is the longest side of a similar triangle whose shortest side is 4.

A building lot in a city is shaped as a 30° 60° 90° triangle. The side opposite the 30° angle measures 41 feet. a. Find the length of the side of the lot opposite the 60° angle. b.Find the length of the hypotenuse of the triangular lot. c. Find the

A building lot in a city is shaped as a 30° 60° 90° triangle. The side opposite the 30° angle measures 41 feet. a. Find the length of the side of the lot opposite the 60° angle. b.Find the length of the hypotenuse of the triangular lot. c. Find the

Q: A building lot in a city is shaped as a 30° 60° 90° triangle. The side opposite the 30° angle measures 41 feet. a. Find the length of the side of the lot opposite the 60° angle. b. Find the length of the hypotenuse of the triangular lot. C.Find

You are at the park. You are going to analyze a roller coaster. You ask the attendant for the height of the first hill and find out that it is 106.1 feet tall. Along with your group members, you pace off a train waiting to be loaded. The train is 10.5

A right triangle with G and F as the two base angles and E as the top angle. Side EF is Y, side FG is x, while side EG is 2x. If Y = 15, what is the value of x? Please help, and explain.

In triangle ABC, side AB = 10, side AC = 13, and side BC = 16. What is the measure of the larges angle in degrees?


To the nearest meter, find the length of side DE in triangle DEF, given angle F=54 degrees, side DF=70 m, and side EF=50 m. Please show work!

What are the speed and acceleration (increase/decrease or remain constant) of a ball rolling down a a) straight hill, b) concave hill c) convex hill Can someone explain why they are, not just the answers?

An 80.0 kg rollerblader is at rest at the top of a 100 m hill at a 7o incline. The coefficient of friction on the hill is 0.110. What is the roller blader's kinetic energy at the bottom of the hill?

An 80.0 kg rollerblader is at rest at the top of a 100 m hill at a 7o incline. The coefficient of friction on the hill is 0.110. What is the roller blader's kinetic energy at the bottom of the hill?

Two sides of a triangle have the same length. The remaining side is one third as long as each of the other sides. If the perimeter of the triangle is 315 cm, what is the length of each side?

Two sides of a triangle have the same length. The remaining side is one third as long as each of the other sides. If the perimeter of the triangle is 315 cm, what is the length of each side?

Triangle ABC is similar to triangle APQ with angle CBA equal to angle QPA and angle A common to both triangles. the length of sides AB, AP and PQ are 90cm,60cm and 30 cm. calculate the length of the side BC

Determine which two equations represent perpendicular lines. a) y=2x  6 b) y=1/2x + 6 c) y= 1/2x + 6 d) y= 1/2x  6 I know that perpendicular lines have negative recipricals, but I'm having trouble with this problem. I think the answer is b & c because

I need to know how to find the meausure of a triangle using vertical angles, and also how to measure a triangle using linear pairs... Oh, I hope I'm not too late with an answer for you... To measure a triangle using linear pairs, you have to use the

Right triangle ABC is similar to triangle XYZ, because angle B is congruent to angle Y. If side AB equals 12 inches, side BC equals 27 inches, and side YZ equals 9 inches, then what is the length of side XY?


Right triangle ABC is similar to triangle XYZ, because angle B is congruent to angle Y. If side AB equals 15 inches, side BC equals 45 inches, and side YZ equals 9 inches, then what is the length of side XY?

one side of a triangle is 4 cm. The sum of the two other sides is 11 and all sides are integers. What is the largest possible side.

Hi! I have some questions from a study guide in my physics class, and they give me the answer, but I have to show how to get the answer. I did most of them, but need help with this. All I need is a formula, please. :)Thank you! Here it is: A skier with a

A boy pushes his friend across a skating rink. Since the frictional forces are very small, the force exerted by the boy on his friend's back is the only significant forece acting on the friend in the horizontal direction. Is the change in kinetic energy of

The first side of a triangle is 7cm shorter than twice the length of the second side.The third side is 4cm longer than the first side. The perimeter is 80cm. Calculate the length of each side of this triangle.

A person is standing at the top of a 58.0m tall hill. He stumbles and falls.As he rolls down the hill, magically friction has no effect on him! When he is still 25.0m above the base of the hill determine how fast he is moving.

a person is standing at the top of a 58 m tall hill. He stumbles and falls. As he rolls down the hill, magically friction has no effect on him! when he is still 25.0 m above the base of the hill determine how fast he is moving.

Define variables, write an equation and solve. The perimeter of a scalene triangle is 75 inches. The middle side is 6 inches longer than the shortest side. The longest side is 15 inches less than twice the middle side. Find the length of all three sides.

The perimeter of a triangle is equal to 12 inches. The length of the longest side is equal to the sum of the other two sides minus 2. If you add 2 to the shortest side, it will equal the longest side. Find the side lengths.

The perimeter of a triange with sides a,b,and c is 24 cm. Side a is 2cm longer than side b. The ration of the lenghts of sides b and c is 3:5. What are the lenghts of the three sides of the triangle?


Paul road his bike from the bottom of his street to his friend’s house at the top of the hill on his street. He knew his PE was 5,000 J and ME was 25,000 J but wanted to find out his KE. What is Paul’s KE energy on his bike ride to his friend’s

Some sliding rocks approach the base of a hill with a speed of 11.0 m/s. The hill rises at 44.0 degrees above the horizontal and has coefficients of kinetic and static friction of 0.410 and 0.630, respectively, with these rocks. 1) Find the acceleration of

In a triangle with integer side lengths, one side is three times as long as a second side, and the length of the third side is 15. What is the greatest possible perimeter of the triangle?

the perimeter of a triangle is 56 inches. the longest side measures 4 inches less than the sum of the other two sides. three times the shortest side is 4 inches more than the longest side. find the lengths of the three sides

One side of a triangle is three times the shortest side. The third side is 7 feet more than the shortest side. The perimeter is 62 feet. Find all three sides.

Given trinagle ABC whose sides are AB=15 in., AC=25 in., and BC=30 in. Form a point D on the side AB, a line DE i drawn to a pointE on side AC such that angle ADE is equal to angle ABC. If the perimeter of triangle ADE is 28 in., find the lengths of line

2 sides of a triangle are consecutive odd integers. The third side is twice as long as the shortest side. The perimeter is 22. Find the length of the shortest side. I guessed A+b+c=22 and that's as far as I got

classify triangle ABC by its sides if side AB=6x, side AC=4x+6 and side BC=8x+3. the perimeter of triangle ABC is 63.

the perimeter of a triangle is 31 cm. sides #1 and #2 have epual length, while side #3 is one centimeter shorter than twice the length of side #1. how long is each side

There is an arbitrary triangle with angles A, B, and C and sides of lengths a, b, and c. Angle A is opposite side a. How do I get the formulas: b * cos C + c * cos B = a c * cos A + a * cos C = b a * cos B + b * cos A = c Are these standard trig formulas?


how do i figure out the length of one side of a triangle if I know one side is 40 meters, and the angle on one side is 90 degrees and the other side is 42 degrees?

The ski slopes at Bluebird Mountain make use of tow ropes to transport snowboarders and skiers to the summit of the hill. One of the tow ropes is powered by a 22kW motor which pulls skiers along an icy incline of 14° at a constant speed. Suppose that 18

one side of a triangle is 3 inches shorter than twice the length of the shorest side. the third side is 5 inches longer than the shorest side. if the perimeter is 110 inches, find the lengths of all three sides

the first side of a triangle measures 3 cm longer then the second side the third side is 4cm shorter then twice the second side the perimeter is 31cm. how long is each side?

A 56.9 kg sledder descends an 8.21meter high hill, encountering a friction force of 11.7 N, Fill in the blanks and determine the speed of the sledder after traveling the 31.7 meters to the bottom of the hill. Top of the hill: KE=0J PE=_ W=_ Work=_ PE=0J

A 4000 kg trailer is towed up a hill with a 5% grade. If the towing truck starts from rest at the bottom of the hill and reaches a speed of 12 m/s at the top of the hill, how much is the towing force. The road from the bottom to the top of the hill is

A 4000 kg trailer is towed up a hill with a 5% grade. If the towing truck starts from rest at the bottom of the hill and reaches a speed of 12 m/s at the top of the hill, how much is the towing force. The road from the bottom to the top of the hill is

Solve for the length of the unknown side in the following right triangle. (Side AC is the hypotenuse.) Round your answer to two places, where applicable. Side AB ? Side BC=12 Side AC=19

Please help me how you get the answer. PLEASE I NEED HELP. A triangle sail has a perimeter of 25 m. Side a is 2 m shorter than twice side b, and side c is 3 m longer than side b. Find the length of each side. Thank you ver much for helping me

In a right angled triangle, the length of a hypotenuse is 10 cm. Of the two shorter sides, one side is 2 cm longer than the other side. i) Find the lengths of the two shorter sides. ii)Hence, find the area of the triangle.


A triangle as a perimeter of 53 cm. The shortest side of the triangle is 2 cm more than 1/3 of the longest side and the other side is 5 cm less than the longer side. Find the dimensions.

The sides of a triangle measure 2, 3 and 4. If the smallest side of a similar triangle measures 8, then the measure of the largest side is? Since eight is four times as large as two, the new triangle largest side will be four times four.

A roller coaster reaches the top of the steepest hill with a speed of 7.0 km/h. It then descends the hill, which is at an average angle of 38^\circ and is 50.0 m long.

Two points, A and B, are 526 meters apart on a level stretch of road leading to a hill. The angle of elevation of the hilltop from A is 26deg30mins, and the angle of elevation from B is 36deg40mins. How high is the hill?

two points, A and B, are 526 meters apart on a level strecth of road leading to a hill. The angle of elevation of the hilltop from A is 26deg30mins, and the angle of elevation from B is 36deg40mins. How high is the hill?

If a box is being pulled up a hill at an angle to find work, its W=Fdcos(angle) If a hiker is walking up a hill, the work done is W=mgh right? When do you know when you can use what formula?

Determine whether each pair of triangles is congruent. b. Triangle 1: angle 53 , side 28 meters, and angle 37 Triangle 2: angle 53 , side 28 meters, and angle 37

If a triangle has sides of lengths a and b, which make a Cdegree angle, then the length of the side opposite C is c, where c2 = a2 + b2 − 2ab cosC. This is the SAS version of the Law of Cosines. Explain the terminology. Derive an equivalent SSS

The following twocolumn proof with missing statements and reasons proves that if a line parallel to one side of a triangle also intersects the other two sides, the line divides the sides proportionally: Statement Reason 1. Line segment DE is parallel to

the perimeter of a triangle is 54 centimeters. the longest side is 6 centimeters less than the sum of the other two sides. Twice the shortest side is 10 centimeters less than the longest side. Find the lengths of each side of the tirangle


two points A and B are 562 meter apart on a level stretch of road leading to a hill . the angle of elevation from A is 26degree 30minutes, and angle of elevation from B is 36degee 40minutes. how high is the hill ?

A cannon is placed on a hillside pointing up the hill, where the hill is at an angle a Pi/4 to the horizontal. The cannon points at an angle Pi/6 to the slope. and a shot is red uphill with initial speed v0. (i) Find the maximum value of the distance

I have to determine the unknown length of a right triangke to the nearest tenth of a unit. One side is 7m and the base is 10m. I got a friend to do this and age came up with 7.1m as the answer. When I do the steps I get the answer 12.21. I believe my

A cannon is placed on a hillside pointing up the hill, where the hill is at an angle a Pi/4 to the horizontal. The cannon points at an angle Pi/6 to the slope. and a shot is red uphill with initial speed v0. (i) Find the maximum value of the distance

In DABC, what could the 7 shown in the ratio sin A = 7/9 represent? A) the length of the adjacent side of angle B B) the length of the opposite side of angle A C) the length of the hypotenuse of a right triangle D) the length of the adjacent side of angle

One side of a triangle is half the longest side. The third side is 9 meters less than the longest side. The perimeter is 61 meters. Find all three sides.

one side of a triangle is three time the shortest side. The third side is 7 feet more than the shortest side. The perimeter is 62 feet. Find all three sides.

One side of a triangle is half the longest side. The third side is 10 meters less than the longest side. The perimeter is 45 meters. Find all three sides

A skateboarder approaches the circular hill with a velocity of 8.0 m/s at point B. The angle formed between the lines that join point AO and BO is 20 degrees. a) what is her speed at the top of the hill(Point A) if she coasts up to this point? b) what min

I have a triangle garden in my backyard. one side is 4 meters and another side is 6 meters. the angle formed by these two sides is 72 degrees. what is the area of the garden?


The force of gravity pulling on an object down a hill is its weight multiplied by the sine of the angle of elevation of the hill. With how many pounds of force is gravity pulling on a 3000 lb car on a hill will a 3 degree angle of elevation? What i did:

what is angle B if triangle ABC is given such that angle A is 46° sides a=4 &b=8 side a faces angle A..

Triangle PEA has a 20degree angle at P and a 120degree angle at E, and the length of side EA is 6 inches. Find the lengths of the other two sides of this triangle.

A triangle has a perimeter of 161 miles. The length of each of the two shorter sides of the triangle is two thirds the length of the longest side. Find the length of each side of the triangle.

Find the area of the complex figure. The figure has 8 sides, all sides meet at right angles. The leftmost vertical side measures 31 meters. The lower most horizontal side measures 69 meters. The rightmost vertical side measures 31 meters. The upper right

Find the area of the complex figure. The figure has 8 sides, all sides meet at right angles. The leftmost vertical side measures 31 meters. The lower most horizontal side measures 69 meters. The rightmost vertical side measures 31 meters. The upper right

If I have a triangle with the hypotenuse side as 7, and the opposite side as 3, how would I find the angle? (This is a right triangle.) ......III .....IIII .7..IIIII ...IIIIII..3 ..IIIIIII _IIIIIIII<90 degrees Find this angle

A communications tower is located at the top of a steep hill, as shown in the figure below. The angle of inclination of the hill is 68°. A guy wire is to be attached to the top of the tower and to the ground, 150 meters downhill from the base of the

you have an unfortunate brush with the law and you are required to spend some time in the penitentiary. (Naturally you have brought your math 30 course notes with you for a bit of light bedtime reading. You also hope to enlighten your fellow inmates with

Use SAS (SideAngleSide congruence) to explain why triangle WXY congruent to triangle WZY


evaluate the following expressions: tan(sec^1(5/3)) tan(sec^1(25/7)) cot(csc^1(5/3)) i know the answers.. i jus don't know how to solve them =( PLEASE help me I assume your sec^1 notation denot4es the arcsecant function, etc. sec^1 (5/3) = cos^1

construct a triangle ABC similar to given triangle equilateral triangle PQR with side sum such that each of its sides is 6/7 of the corresponding angle PQR

Solve the triangle. Round to the nearest tenth. B=54deg a=42 c=6.5 1. I found length of b using law of cosine and got 36.2 2. Using side of b, I used the law of sine to get angle A = 28.2 3. I added B+A and subtracted from 180 to get angle C = 127.8 which

A boy sledding down a hill accelerates at 1.25 m/s2. If he started from rest, in what distance would he reach a speed of 5.00 m/s?

A boy sledding down a hill accelerates at 1.25 m/s2. If he started from rest, in what distance would he reach a speed of 5.00 m/s?

A boy sledding down a hill accelerates at 2.00 m/s2. If he started from rest, in what distance would he reach a speed of 5.20 m/s?

A boy sledding down a hill accelerates at 1.20 m/s2. If he started from rest, in what distance would he reach a speed of 7.00 m/s?

A boy sledding down a hill accelerates at 1.55 m/s2. If he started from rest, in what distance would he reach a speed of 6.90 m/s?

A boy sledding down a hill accelerates at 1.20 m/s2. If he started from rest, in what distance would he reach a speed of 7.00 m/s?

A boy sledding down a hill accelerates at 1.65 m/s2. If he started from rest, in what distance would he reach a speed of 7.30 m/s?


A boy sledding down a hill accelerates at 1.20 m/s2. If he started from rest, in what distance would he reach a speed of 6.10 m/s?

A boy sledding down a hill accelerates at 1.30 m/s2. If he started from rest, in what distance would he reach a speed of 8.00 m/s?

A boy sledding down a hill accelerates at 1.70 m/s2. If he started from rest, in what distance would he reach a speed of 7.40 m/s?

A boy sledding down a hill accelerates at 1.70 m/s2. If he started from rest, in what distance would he reach a speed of 7.40 m/s?

At time t = 0, a set of three points A, B and C forms an equilateral triangle of side 6 cm. If two of the sides of the triangle are decreasing in length at the rate of 0.1 cm/sec and the third side is increasing at the rate of 0.1 cm/sec, how long will it