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Mathematics

The length of the rectangle is 1/4th the width of the rectangle. The perimeter is 35 ft. How long is the length and width?

What is the name for the total area of the surface of solid? A.prism area B.net area C.surface area D.facial area

In triangle ABC with∠C = 90°, the sides are in the ratio BC:AC:AB = 4:3:5. If the side of middle length measures 12 cm, find: 1) The perimeter of triangle ABC; 2) The area of triangle ABC; 3) The height relative to the hypotenuse. To find the height relative to the hypotenuse, we must calculate the sides of the triangle first. The sides are in the ratio of 4:3:5, and since AC (the shorter leg) is given as the middle length at 12 cm, this represents the '3' part of the ratio. Let's find the lengths of the other two sides. For BC (shortest side), we have: BC/AC = 4/3 BC = (4/3) * 12 cm = 16 cm For AB (hypotenuse), we have: AB/AC = 5/3 AB = (5/3) * 12 cm = 20 cm Now, we know all the sides of the triangle: BC (shortest side) = 16 cm AC (middle side) = 12 cm AB (hypotenuse) = 20 cm To calculate the height to the hypotenuse (let's call it "h"), we use the area formula of a right triangle in two different ways. The area A of a right triangle is given by: A = (base * height)/2 Using sides BC and AC, we can write the area as: A = (BC * AC)/2 A = (16 cm * 12 cm)/2 A = (192 cm^2)/2 A = 96 cm^2 The same area, using the hypotenuse AB and height h, would be: A = (AB * h)/2 96 cm^2 = (20 cm * h)/2 96 cm^2 = 10 cm * h h = 96 cm^2 / 10 cm h = 9.6 cm The height relative to the hypotenuse is 9.6 cm. To address parts 1 and 2 of your problem: 1) The perimeter of triangle ABC: Perimeter = BC + AC + AB Perimeter = 16 cm + 12 cm + 20 cm Perimeter = 48 cm 2) The area of triangle ABC (which we've found during the process): Area = 96 cm^2

write a story problem for 32 divided by 5 so that the question you pose would be answered by 6 2/5

paul needs 10 liters of water to wash his puppy. What is the equivalent in milliliters

The midpoint of ST has coordinates (5,-8). Find the coordinate of point S when T (10,18)

an airplane flies 105 miles and 1/2 hour how far can you fly on a 1/4 hours at the same rate of speed

factor x^3-5x^2+2x+8

The measure of the supplement of a 73 degrees angle is?

Solve y = 4x + 12, using the x-values, 3, 5, and 8. Which of the following T-tables represents the ordered pairs?

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