Problem 2 A civil engineer is designing a storm gutter for managing water flow. She needs to determine the total concrete needed to create the gutter by first calculating the cross-sectional area of the gutter. Use the information from the diagram to determine the cross-sectional area of the gutter. **Note, for this problem showing your mathematical work with short justifications is sufficient for explaining your thinking.

Q: Problem 5 A cylindrical can with closed bottom and closed top is to be constructed to have a volume…

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Q: Consider the following problem: A farmer has 1600 ft of fencing and wants to fence off a rectangular…

A: a) Here you can choose different values for length and width and check which pair gives you maximum…

Q: Problem #4 (Theorem of Pappus) Determine the volume of the solid formed when a circle that passes…

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Q: A storage container consists of a box length of 90 cm, width 42cm, and a listing of half cylinder as…

A: First we find half cylinder as shown following diagram.

Q: Find the volume of the largest cube that can be cut from a sphere of diameter 10 cm. Answer must be…

A: The Largest cube that can be enclosed in a sphere will have its diagonal equal to the diameter of…

Q: Problem 5 From a piece of cardboard 24cm x 15cm, a box is to be made by cutting equal squares out of…

A: A piece of cardboard 24cm×15cm, a box is to be made by cutting equal squaresout of its corners and…

Q: In Problems 39–42, find the area of the shaded region

A: To find the area of the shaded region 39) Given a circle inscribed in a square of side a=2 To find…

Q: Alexis Eichelberger Problem 3.2 A large rectangular swimming pool is 1000 feet long, 100 feet wide,…

A: The volume of a rectangular container having dimensions a, b & c units is, V = (abc) cubic units

Q: If from Figure A to Figure B the linear scale factor is 4, then what is the area scale factor?

A: Since Area scale factor =Linear scale factor2 And it is given that  the linear scale factor from…

Q: 1. The strength of a rectangular beam varies as the product of the width and the square of the…

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Q: Problem. A circle whose area is 100t m2 is cut into four segments by a vertical and horizontal chord…

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Q: Question 16 A box has length 5 feet, width 6 feet, and height 3 inches. Find the volume of the box…

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Q: Question 21 We want to construct a box whose length is three times the base width. The material used…

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Q: Problem 1 6 in. 4 in. 10 in. a) A Smaller box that measures 10 in. x 4 in. x I in. fits in the box…

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Q: Solve the problems. 1 Two cubes with edge lengths of 3 centimeters and 2 centimeters are placed on…

A: Two cubes with edge lengths of 3 centimeters and 2 centimeters are placed on top of each other as…

Q: ve each problem. 49 in.2 What is 64 A tiny square microprocessor in a mobile device has an area of…

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Q: _4. What is the area of the enclosed regions in problem number 3? A. 10 sq. units B. 12 sq. units C.…

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Q: Problem, A circle whose area is 100t m2 is cut into four segments by a vertical and horizontal chord…

A:

Q: 5) Use the diagram of loaf of bread on the right for the problems below i) If the volume is 500…

A: the volume of bread is given by  B=length ·width ·height here we have length =10 cm width =10 cm…

Q: Problem 6: The prism is made from metal, with a density of 6.6 grams per cm. Calculate the mass of…

A: The solution is given below

Q: Problem 1 A car is 180 inches long. A truck is 75% longer than the car. How long is the truck?

A: Given: Length of car=180 inches. A truck is 75% longer than car.

Q: Answer number 2: 1. A square base pyramidal roof is being constructed with a base edge length of…

A: Solution - 2) Given : Volume of the pyramid is 24 cubic feet  Height of the pyramid is 9.00 foot

Q: Question 5 A piece of wire of length 60cm is cut into two parts. One part is bent into a square,…

A: we use second derivative test to find value of x and least total area

Q: Problem 1: For the box shown below, determine the value of x If the total area is 94 cm2. x+ 2 I.

A: Total area of the cuboid = 2( lb+bh+hl) = 94 cm2  here, l = (x+2)            b = x            h = 4…

Q: 31. (Note: For problem 31, round to the nearest whole number.) 31. Surface Area Volume

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 31. (Note: For problem 31, round to the nearest whole number.) 31. qin Surface Area Volume 32. A…

A: Total Surface Area of Cylinder The total surface area of a cylinder is equal to the sum of areas…

Q: The dimensions of the party hat are shown in the diagram. Which measurement is closest to the volume…

A: The volume of a cone is one-third of the product of the area of the base of the cone and the height…

Q: Problem #5 A shipping container is in the shape of a triangular prism. The triangular ends of the…

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Q: Figure 12.16 shows the floor plan for a modern, one-story house. Bob calculates the area of the…

A: Bob has calculated the area of the floor as  Area of floor=36×72-18×18.

Q: Problem 15. A box with an open top has vertical sides, a square bottom, and a volume of 32 cubic…

A: Surface Area with no top is area of all four sides and area of base, i.e.,  S=l×w+4×l×h , where…

Q: Question 4 : Is it possible to design a rectangular park of perimeter 320 m and area 4800 m² ? If so…

A: Given that: Perimeter of the rectangular park = 320 m Area of the rectangular park = 4800 m2

Q: a mihute of losing some air the pump runs its second cycle. Find the volume immediately following…

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Q: Problem 3: It takes 41.7 BTUS to heat a 5-gallon jug of water. What is the density of a gallon of…

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Q: Question 15 of 16, Step 1 of 1 18/29 Correct Among all rectangles that have a perimeter of 84, find…

A: Topic- Application of derivatives Let L=Length of rectangle W=width of rectangle Perimeter of…

Q: Problem 1 A 5 cm diameter hole is drilled in a 45 cm by 24 cm flat, rectangular piece of material.…

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Q: A rubber ball is dropped from a height of 10 meters. Suppose it rebounds one-half the distance after…

A: According to the given figure we have two series. First is downward series and another is upward…

Q: Question 38 Arectangular lot is to be enclosed with a fence. A building is on one side of the lot,…

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Q: Consider the following problem: A farmer has 3200 ft of fencing and wants to fence off a rectangular…

A: PART A The several diagrams will be as follows :

Q: If rectangle EPOR is dilated from the origin with a scale factor of 1/2, the area of the rectangle…

A: Given the given diagram is The given rectangle is dilated from the origin with a scale factor of…

Q: Question #1: What is the area of the composite figure below? DON'T forget to." 2 in. 3 in. 9 in. 27…

A: Area of a triangle: Area=12×Base×Height Area of a rectangle: Area=Length×Width

Q: Problem 6 may be set-up/solved with either proportions or unit analysis. Show work. 6. There are…

A: Solve the given

Q: Solve the following problems. Write your solutions and answers in your notebook. 1. A circular…

A: Note: We will answer the first question only as the exact one is not specified. Please resubmit the…

Q: Question 27 Phillip is mowing his backyard. His backyard is oddly shaped. 20 ft 15 ft 8 ft 25 ft 8…

A: Our objective is to find the area

Q: Problem 1 A 5 cm diameter hole is drilled in a 45 cm by 24 cm flat, rectangular piece of material.…

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: 31. (Note: For problem 31, round to the nearest whole number.) 31. q in Surface Area

A: Explanation and solutions is given below....

Q: Problem 1: For the box shown below, determine the value of x if the total area is 94 cm2. x+ 2 4.

A: Length=l=x+2Width=w=xHeight=h=4

Q: Problem 1. What are the dimensions of the base of the rectangular box of greatest volume that can be…

A: Volume of box = base × width × height