
A bicyclist is coasting straight down a hill at a constant speed. The mass of the rider and bicycle is 55.0 kg, and the hill is inclined at 16.0° with respect to the horizontal. Air resistance opposes the motion of the cyclist. Later, the bicyclist climbs the same hill at the...

Two equal sides of a triangle are 1 metre more than half the third side. If the perimetre of the triangle is 22 meters find the lenth of its side.

One side of the triangle is 2cm longer than the second side. The third is 3/5 as long as the first side. If the perimeter of the triangle is 24cm, Find the lengths of the three sides.

Points A and B are on the same horizontal line from the foot of a hill and the angles of depression of these points from the top of the hill are 30deg and 22deg, respectively. If the distance between A and B is 75m, what is the height of the hill?

A skier starts from rest at the top of a hill. The skier coasts down the hill and up a second hill, as the drawing illustrates. The crest of the second hill is circular, with a radius of 38.3 m. Neglect friction and air resistance. What must be the height h of the first hill ...


A skier starts from rest at the top of a hill. The skier coasts down the hill and up a second hill, as the drawing illustrates. The crest of the second hill is circular, with a radius of 38.1 m. Neglect friction and air resistance. What must be the height h of the first hill ...

A skier starts from rest at the top of a hill. The skier coasts down the hill and up a second hill, as the drawing illustrates. The crest of the second hill is circular, with a radius of 39.6 m. Neglect friction and air resistance. What must be the height h of the first hill ...

The longest side of a triangle is six more units that the shortest side. The third side is twice the length of the shortest side. If the perimeter of the triangle is 25 units, write and solve an equation to find the length of all three sides of the triangle.

Which hill described in the table is the steepest and why? Street. Horizontal distance vertical (ft). Rise of Street (ft) Dixie hill. 100. 60 Bell hill. 100. 50 Liberty hill 100. 20 A. Dixie hill; it rises 5 feet for every 3 feet of horizontal travel. B. Dixie hill; rises 3/5 ...

The two triangleshaped gardens are congruent. Find all of the missing side lengths and angle measures. Show any necessary work. (Triangle) • On the left, a triangle is shown with a lower horizontal side labeled 7.9 yards, a vertical right side labeled lower u, and a ...

Two sides of a triangle are equal in length. The length of the third side is three meters less that the sum of the lengthsof the other two sides.Find the length of the longest side of the triangle if its perimeter is 29 meters. Please help. Thanks.

a motorcycle wants to jump a ditch 4m wide. he leaves one side on a ramp that slopes up at 30 above horizontal. he lands at the same elevation at which he took off. his front wheel leaves the ground 2m before the edge of the ditch and comes down 3 m past the far side of the ...

A skier starts at rest on the top of Mt Circular, a strange, smooth, icy hill shaped like a hemisphere. The hill has a constant radius of R. Neglecting friction (it is icy!), show that the skier will leave the surface of the hill and become airborne at a vertical distance of ...

a 75.0 kilogram skier is at the top of a hill that is thirty degrees above the horizontal. the skier starts form and then travels down the hill which is 100 meters long. the skier at the bottom of the hill instantaneously then travels on flat horizontal snow. the coeefficient ...

Which hill described in the table is the steepest and why? Street. Horizontal distance vertical (ft). Rise of Street (ft) Dixie hill. 100. 60 Bell hill. 100. 50 Liberty hill 100. 20 A. Dixie hill; it rises 5 feet for every 3 feet of horizontal travel. B. Dixie hill; rises 3/5 ...


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 points L(4, 0),M(10, 0), and N(7, 5) form #LMN.What is the sum of the slopes of the three sides of the triangle?

The points L(4, 0),M(10, 0), and N(7, 5) form LMN.What is the sum of the slopes of the three sides of the triangle?

The cart starts from rest at the top of a hill with height, H1. It rolls down the hill and at the bottom of the hill it has a speed of 8 m/s. Next it is at the top of same hill but pushed so that it starts at the top of the hill with a speed of 6 m/s. How fast is it going at ...

The cart starts from rest at the top of a hill with height, H2. It rolls down the hill and at the bottom of the hill it has a speed of 10 m/s. Next it is at the top of same hill but pushed so that it starts at the top of the hill with a speed of 4.59 m/s. How fast is it going ...

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

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.

In triangle ABC, D bisects side BC, G bisects side AB, and the points E and F trisect side AC. What is the area of the shaded polygon, if the area of ABC is 108? I tryed to find the area of triangles on the side and I figured that if you put a line from the top of the triangle...

In triangle ABC, D bisects side BC, G bisects side AB, and the points E and F trisect side AC. What is the area of the shaded polygon, if the area of ABC is 108? I tryed to find the area of triangles on the side and I figured that if you put a line from the top of the triangle...

two sides of a triangle are equal. The third side is 3 less than the sum of the two equal sides. The perimeter is 31 inches. Find the length of each side


Consider a road over a hill where the top is shaped like a circular bump. This circular arc has its center in the hill below. As a 1200 kg car rounds the top of a hill at a speed of 20.0 m/s, it very breifly loses contact with the pavement. What is the radius of this circular ...

In triangle ABC, D bisects side BC, G bisects side AB, and the points E and F trisect side AC. What is the area of the shaded polygon, if the area of ABC is 108? I tryed to find the area of triangles on the side and I figured that if you put a line from the top of the triangle...

A 30kg child coast down a hill on a 20kg sled. She pushes off from the top of the hill with a velocity of 1 m/s. At the bottom of the hill, she is moving 4 m/s. If there is no heat generated when she slides down, how high is this hill? thank u

A roller coaster has two hills and starts from rest atop the first hill , which is the higher of the two hills . The secound hill increases if the height of the initial hill is increased by 20m

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.

A 2.0 x 103 kg car is pulled 345 m up a hill that make s an angle of 15° with the horizontal. What is the potential energy of the car at the top of the hill? If the car rolls down the hill, what will its speed be if we neglect friction? plz help? confused

A 2.0 x 103 kg car is pulled 345 m up a hill that make s an angle of 15° with the horizontal. What is the potential energy of the car at the top of the hill? If the car rolls down the hill, what will its speed be if we neglect friction? plz help? confused

A 2.0 x 103 kg car is pulled 345 m up a hill that make s an angle of 15° with the horizontal. What is the potential energy of the car at the top of the hill? If the car rolls down the hill, what will its speed be if we neglect friction? plz help? confused

How do I figure out this question? Is there a formula I need? For which of the following sets of line segments is it possible to consturct a triangle? 1. Sides of length 17cm, 18 cm,and19 cm 2. Sides of length 11m, 18m, and 6 m 3. Sides of length 46ft, 25ft,and70ft No side can...

Paul is standing at the bottom of a hill that is 150 meters high. He measures the angle of the elevation of the top of the hill to be 32 degrees. If the slope of the hill is constant, how far will his walk to the top of the hill be


find the slopes for all four side J(4,1) K(7,4) L(2,10) M(5,7)

A 1600kg car experiences a combined force of air resistance and friction that has the same magnitude whether the car goes up or down a hill at 32 m/s. Going up a hill, the car's engine produces 54 hp more power to sustain the constant velocity than it does going down the same...

A 1800kg car experiences a combined force of air resistance and friction that has the same magnitude whether the car goes up or down a hill at 28 m/s. Going up a hill, the car's engine produces 52 hp more power to sustain the constant velocity than it does going down the same...

One side of a triangle is half the longest side. The third side is 7 less than the longest side. The perimeter is 53 feet. Find the three sides

One side of a triangle is x inches longer than another side. The ray bisecting the angle formed by these sides divides the opposite side into 3inch and 5inch segments. Find the perimeter of the triangle in terms of x. ( triangle angle bisector theorem)

The first side is triple the second side and the third side is five times the second side. What are the sides of the triangle if the perimeter is 72ft?

The figure below shows a box of dirty money (mass m1 = 4.0 kg) on a frictionless plane inclined at angle θ1 = 35°. The box is connected via a cord of negligible mass to a box of laundered money (mass m2 = 2.0 kg) on a frictionless plane inclined at angle θ2 = 55°. The ...

The figure below shows a box of dirty money (mass m1 = 4.0 kg) on a frictionless plane inclined at angle θ1 = 35°. The box is connected via a cord of negligible mass to a box of laundered money (mass m2 = 2.0 kg) on a frictionless plane inclined at angle θ2 = 55°. The ...

1. A hill with a 35 degree grade (incline with horizontal) is cut down for a roadbed to a 10 degree grade. If the distance from the base to the top of the original hill is 800 ft., How many vertical ft will be removed from the hill rounded to the nearest ft

A hill is inclined at 18 degrees to the horizontal. If the base of the hill is at sea level, find my height above sea level if i walk 1.2 km up the hill


A Square shaped animal pen and a pen shaped like an equilateral triangle have an equal perimeters. Find the length of the sides of each pen if the sides of the triangular pen are 16 less than twice a side of the square Pen.

The perimeter of a triangle is 19 cm. If the length of the longest side is twice that of the shortest side and 3 cm less than the sum of the lengths of the other two sides, find the lengths of the three sides

Two similar figures have sides in the ratio of 2:3. If a side of the smaller triangle has a length of 7, what is the length of the corresponding side of the other 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

In the flying ski jump, a skier acquires a speed of about 62 mph (this ended up being 27.7 m/s) by racing down a steep hill and then lifts off into the air off of a horizontal ramp. Beyond the ramp, the ground slopes at an angle of 45 degrees. a) Predict the distance downslope...

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. Show all your work. Explain your reasoning.

The second side is 10 more than the third side and the first side is 6 less than the third side. What are the sides of the triangle if the perimeter is 64yd?

the perimeter of a triangle is 19 cm. if the length of the longest side is twice that of the shortest side and 3cm less than the sum of the lengths of the other two sides, find the length of the three sides

The backyard of a house is in the shape of a triangle. The longest side is 4 ft shorter than twice the shortest side. The third side is 4 ft less than the longest side. If the perimeter of the yard is 162 ft, what are the lengths of the sides?

according to the triangle inequality, the length of the longest side of a triangle bust be less than the sum of the lengths of the other two sides. the two shortest sides of a triangle measure 3/10 and x + 1/5 and the longest measures 3/2x. write an inequality that uses the ...


One side of a triangle is x inches longer than another side. The ray bisecting the angle formed by these sides divides the opposite side into 3 inch and 5inch segments. Find the perimeter of the triangle in terms of x.

The lengths of the sides of a triangle are 4in.,14 in., and 16 in.If the longest side of a similar triangle measures 40 in., what is the length of the shortest side of this new triangle?

One side of the triangle is twice as long as the second side. The remaining side is 4cm greater than the second side. The perimeter of the triangle is 24cm.Find the length of each side of the triangle.

a triangle has a perimeter of 126 centimeters, each of the 2 longer sides of the triangle is three times as long as the shortest side. Find the length of each side of the triangle.

The sides of a triangle measure 9 , 15 , and 18 . If the shortest side of a similar triangle measures 6 , find the length of the longest side of this triangle . a . 5 b . 10 c. 12 d . 15

A 40.0 kg wagon is towed up a hill inclined at 17.9° with respect to the horizontal. The tow rope is parallel to the incline and has a tension of 140 N. Assume that the wagon starts from rest at the bottom of the hill, and neglect friction. How fast is the wagon going after ...

A hill that has a 17.5% grade is one that rises 17.5 m vertically for every 100.0 m of distance in the horizontal direction. At what angle is such a hill inclined above the horizontal?

A hill that has a 31.4 % grade is one that rises 31.4 m vertically for every 100.0 m of distance in the horizontal direction. At what angle is such a hill inclined above the horizontal?

A hill that has a 31.4 % grade is one that rises 31.4 m vertically for every 100.0 m of distance in the horizontal direction. At what angle is such a hill inclined above the horizontal?

A hill that has a 15 % grade is one that rises 15.0 m vertically for every 100.0 m of distance in the horizontal direction. At what angle is such a hill inclined above the horizontal?


hill that has a 37.7 % grade is one that rises 37.7 m vertically for every 100.0 m of distance in the horizontal direction. At what angle is such a hill inclined above the horizontal?

Three equal positive point charges q are at the corners of an equilateral triangle with sides of length a. What is the magnitude and direction of the electric field at one corner of the triangle due to two charges placed on another two corners of the triangle ?. These two ...

the perimeter of a triangle is 79.75 inches. the second side of the triangle is half as big as the first side. the third side is 7.25 in greater than the first side what is the length of the longest side of the triangle?

A 989 kg automobile is moving at 15.6 m/s at a height of 5.0 m above the bottom of a hill when it runs out of gasoline. The car coasts down the hill and then continues coasting up the other side until it comes to rest. Ignoring frictional forces and air resistance, what is the...

If I am give the the sides of a triangle, where Side RA=4 Side AB=4.8 Side RB=7.1 How do I find Angle RAB? Thanks!

How do i find the perimeter of a triangle with variables? one side is 2(q^2  3q), the second side is q + 10 and the third side is q^2. how do i add all of these sides

Marks: 5 A hill that has a 15 % grade is one that rises 15.0 m vertically for every 100.0 m of distance in the horizontal direction. At what angle is such a hill inclined above the horizontal?

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

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.

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 take for the system ...


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 they are both 1/2 and ...

The perimeter of a triangle is 195 mm.If the lengths of the sides are consecutive odd integers,find the length of each side. what steps do i need to do in order to get the answre? Perimeter= L + L+2 + L+4 solve for L. That is the short side. THen add two for the next side, and...

A 417 kg pig is standing at the top of a muddy hill on a rainy day. The hill is 100m long with a vertical drop of 37.4 m. If the pig slips and begins to slide down the hill, assuming a negligible amount of friction what will be the pigs speed at the bottom of the hill?

Some sliding rocks approach the base of a hill with a speed of 18.0 . The hill rises at 41.0 above the horizontal and has coefficients of kinetic and static friction of 0.420 and 0.570, respectively, with these rocks. Start each part of your solution to this problem with a ...

The radius of this circle is one unit. Find the exact lengths of the legs in the right triangle if: Sides a is twice as long as side b. And Sides b is twice as long as side a. Basically the hypotenuse of this triangle is 1 and we are trying to use the pythagorean theorem to ...

The radius of this circle is one unit. Find the exact lengths of the legs in the right triangle if: Sides a is twice as long as side b. And Sides b is twice as long as side a. Basically the hypotenuse of this triangle is 1 and we are trying to use the pythagorean theorem to ...

A 38.2 kg wagon is towed up a hill inclined at 19° with respect to the horizontal. The tow rope is parallel to the incline and exerts a force of 140 N on the wagon. Assume that the wagon starts from rest at the bottom of the hill, and disregard friction.How fast is the wagon ...

A 38.2 kg wagon is towed up a hill inclined at 19° with respect to the horizontal. The tow rope is parallel to the incline and exerts a force of 140 N on the wagon. Assume that the wagon starts from rest at the bottom of the hill, and disregard friction.How fast is the wagon ...

a 107 lb little red wagon full of kids is on the top of a 41.4 m hill. the wagon falls down the hill and up a 14.5 m hill. how fast is it going on the top of the second hill if there is no friction?

The perimeter of a triangle is 26 c,. Side a of the triangle is 3 cm longer than side b. Side c is 1 cm shorter than twice side b. Find the length of each side.


The radius of this circle is one unit. Find the exact lengths of the legs in the right triangle if: Sides a is twice as long as side b. And Sides b is twice as long as side a. Basically the hypotenuse of this triangle is 1 and we are trying to use the pythagorean theorem to ...

A bicyclist is coasting straight down a hill at a constant speed. The mass of the rider and bicycle is 80 kg and the hill is inclines at 15 degrees with respect to the horizontal. Air resistance opposes the motion of the cyclist. Later, the bicyclist climbs the same hill at ...

As you can see, the biker and his friend are having a hard time getting up the hill. They would like to get to the top safely. Two ordered pairs on the hill are given as (6, 3) and (8, 7). Part 1: Find the slope of the hill. Slope (m) = change in y over change in x. Part 2: ...

Could someone please explain how you get this answer??? A skier with a mass of 60.0 kg pushes off with a horizontal speed of 3.0 m/s from the top of a snow covered hill. As he slides down the hill, his height decreases by 42 m over a distance of 100 m of travel. How much will ...

The shortest side of a right angled triangle is 7cm less than the second shortest side. The sum of the squares of these two sides is equal to 289cm^2. The perimeter of the triangle in cm is? I don't get how to do this, I think Im meant to use a quadratic equation to solve.

A car approaches the top of a hill that is shaped like a vertical circle with a radius of 58.2 m. What is the fastest speed that the car can go over the hill without losing contact with the ground?

5.A car approaches the top of a hill that is shaped like a vertical circle with a radius of 55.5 m. What is the fastest speed that the car can go over the hill without losing contact with the ground?

each side of equilateral triangle is 5 cm shorter than the side of square. the sum of the perimeters of the two figures is 251 cm. how long is each side of the triangle? solution pls.

A 40.7kg wagon is towed up a hill inclined at 18.1 degrees with respect to the horizontal. The tow rope is parallel to the incline and has a tension of 139N in it. Assume that the wagon starts from rest at the bottom of the hill, and neglect friction. The acceleration of ...

Find all missing sides/angles. Round each answer to the nearest unit. Angles/sides ABC (left to right) 1) Angle c= 70 deg side b= 28 yd side c= 26 yd 2) Side a= 18 cm Side b= 24 cm Side c= 28 cm


Reiny, according to this problem(one side of a triangle is x inches longer than another side. The ray bisecting the angle formed by these sides divides the opposite side into 3inch and 5inch segments. Find the perimeter of the triangle in terms of x), you said that a+x+a+8= ...

A 500kg pig is standing at the top of a muddy hill on a rainy day. the hill is 100.0m long with a vertical drop of 30.0m. the pig slips and begins to slidedown the hill. What is the pig's speed at the bottom of the hill? Use the Law of conservation of Energy.

One side of a triangle is x inches longer than another side. The ray bisecting the angle formed by these sides divides the opposite side into 3inch and 5inch segments. Find the perimeter of the triangle in terms of x. ( triangle angle bisector theorem) Let y be the small ...

A 100 foot vertical tower is to be erected on a side of a hill that makes a 6 degree angle with the horizontal. Find the length of each of the two guy wires that will be anchored 75 feet uphill and downhill from the base of the tower.

A 100 foot vertical tower is to be erected on a side of a hill that makes a 6 degree angle with the horizontal. Find the length of each of the two guy wires that will be anchored 75 feet uphill and downhill from the base of the tower.
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