If the ratio of rise to run is to be 3/4 for the steps of a staircase, and the rise is 32 centimeters, find the run to the nearest centimeter.

Q: For points (x, y ) in quadrant I, the ratio x /y is always positive because x and y are always…

A: we know that for points x,y in quadrant 2, the ratio xy is always negative because x is always…

Q: For problems 7 through 8, lines that appear tangent are tangent. Find the value of each value of…

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Q: Two similar triangles have a scale factor of 15. How much larger is the area of the larger triangle…

A: The solution is given below.

Q: Two Tropical Cyclones, travelling towards each other, left from two places that are 900 miles apart,…

A: Let the first Tropical cyclone be named cyclone A and the second one cyclone B.  Now, these two…

Q: The ratio of the circumference of a basketball to that of a baseball is °. Approximately how 3 many…

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Q: The force needed to keep a car from skidding on a curve varies inversely as the radius of the curve…

A: Let F, r, w and s be the force needed, radius of the curve, weight of the car and speed of the car…

Q: If point A has coordinates (0, 5) and point B is southeast of it in the first quadrant with a slope…

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Q: If a slope rises 3ft over 100ft distance, what is the slope in %?

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Q: For points (x, y ) in quadrant II, the ratio x /y is always negative because x is negative and y is…

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Q: The nearest star​ (other than the​ sun) is Alpha Centauri. It is 4.34​ light-years from Earth. How…

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Q: For each ratio of the side of the model and the corresponding side in the real-life building,…

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Q: One figure is similar to a second figure if the points of the first figure can be matched with the…

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Q: Two buses leave a station at the same time and travel in opposite directions. One bus travels 8kmh…

A: Since buses travels in opposite direction so if xkm/hr and ykm/hr are the speed to two buses then…

Q: At 9 AM, ship B is 65 miles due east of another ship A. Ship B is then sailing due west at | 10…

A: Given

Q: The ratio of men to women working for a company is 8 to 5 if there

A: We have to solve the equation.

Q: When​ dropped, a ball rebounds to 1/8 of its original height. How high will the ball rebound after…

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Q: long will it take for the object to travel 70 feet?

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Q: The bottom of a ladder is placed 5ft away from a wall. The ladder is 13ft long. How far above the…

A: Length of ladder = 13 ft distance between wall and bottom of ladder = 5 ft Now, we have to calculate…

Q: The pitch of a roof is the ratio of the rise to the half-span. If a roof has a rise of 5 feet and a…

A: Given that rise is 5 feet and span is 50 feet .

Q: If the scale factor of figure A to figure B is 4:5, find the value of x. x= 15 ST

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Q: How far would a person walking for hours at a pace of 3 mph

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Q: A walk-up ramp runs 20 ft horizontally while rising 4 ft. Use a calculator to approximate its length…

A: Given, Right angle triangle and we have Adjacent side 20ft (say, r) and length 4ft (say, b). To find…

Q: A computer monitor is 20 inches wide. The aspect ratio, which is the ratio of the width of the…

A: width = 20 inch width/height = 16:9 20*9/16 = height 45/4 = height rectangle screen  diagonal = 202…

Q: The pitch of a roof is the ratio of the rise to the half-span. If a roof has a rise of 32 feet and a…

A: Given: A roof has a rise of 32 feet and a span of 40 feet.

Q: to deliver products to an outline which is 600 km away from the company warehouse. At the same…

A: Given that  Time taken for delivery  = 10 hours Distance travelled = 600 kilometers    We know that…

Q: For problems 7 through 14, lines that appear tangent are tangent. Find the value of each value of…

A: A circle is the locus of a point equidistant from a fixed point. The fixed point is called the…

Q: Ex(7): Find the coordinate of the point which divides the line segment from 3 (2,-3) to (-1,4) in…

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Q: A rocket is launched with an initial upward velocity of 320 feet per second from an Initial height…

A: If the initial upward velocity and initial height of an object is given then the height function of…

Q: If hearts are geometrically similar and the volume of blood pumped in one beat is proportional to…

A: Suppose the width of the heart is represented by 1. Then, the volume of the heart will be…

Q: At an average speed of 56 km/h how far can you travel in 6 hours?

A: Given: Average speed=56 km/h To Find: Distance traveled in 6 hours

Q: How many miles are there between two cities, if the distance is represented by a 2.4 inch line on a…

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Q: When a clock reads 4 o'clock, find the distance between the ends of the minute hand and hour hand.…

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Q: before it hits the ground). If an object fell 75 ft in 4 seconds, how far will

A: Given query is to find the distance fallen in 8 seconds.

Q: A jet plane traveling at 570 mph overtakes a propeller-driven plane that has had a 2 h head start.…

A: Let x miles from the starting point does the jet overtake the propeller-driven plane.  We will use…

Q: The speed of an object is the ratio of its distance traveled to time. If the speed of a bicycle is…

A: Given : The speed of a bicycle is 4.5 m/s

Q: The force needed to keep a car from skidding on a curve varies inversely as the radius of the curve…

A: Given: The Force (F) that is needed to keep a car from skidding on a curve varies inversely as the…

Q: If a hiker travels at an average speed of 2.5 mi/h, how long will it take him to travel from the…

A: Let us rename the triangle as ABC,

Q: A worker bee flies of a mile in of an hour. At this rate, how far can the bee fly in 1 hour?

A: given that a worker bee flies 58 of a mile in 116  of an hour find out how far the bee can fly in an…

Q: A taken 3 hours more than B to walk a distance of 30 km. But if A doubles his speed, he is ahead of…

A: Let speed of A be = x km/h &  speed of B = y km/h.

Q: A model car has a ratio of 1:25 to the actual car. If a model is 5 inches long. how long is the…

A: Solution

Q: A kite is flying at the end of a string 500 feet long. If the kite is directly above a point 400…

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Q: The monthly incomes of two persons are in the ratio 4 : 5 and their monthly expenditures are in the…

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Q: The ratio of Sam's age to Hank's age is 5 to 3. If the sum of their ages is 24, how old is Hank?

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Q: The distance a ball rolls down an inclined plane is directly proportional to the square of the times…

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Q: A bus traveling at a rate of 60 mph overtakes a car traveling at a rate of 45mph. If the car had a 1…

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Q: a car is traveling at a speed of 65 mi/h. how long does it take to cover a distance of 235 m

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Q: The sum to infinity of a GP is twice the sum of the first two terms. Find possible values of the…

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Q: A car traveling at 48 mph overtakes a cyclist who, riding at 12 mph, has hada 3 hour head start. How…

A: Ler x miles from the starting point the car overtakes the cyclist. We will use the formula: time…

Q: How far from the top must you cut a conical tent in order to cut cloth(material) in half? Kindly…

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.