An oblique prism has a rectangular base that measures 10 inches by 8 inches and slanted edges that measure 12 inches. The slanted edge forms a 60-degree angle with the 10-inch edge as shown in the figure below. (a) What is the height? (Hint: Recall the relationship between the sides of a 30-60-90-degree right triangle.) (b) What is the volume of the oblique prism?

Q: A snowman is created by creating two spheres directly on top of one another. The base sphere has a…

A: Here is a step by step solution to the given problem

Q: 8. What is the slant height of a cone if the radius is 5mm and the surface area 7. 18 mi is 55rmm??…

A: surface area means total surface area of cone. Formula to find the surface area of cone is A=πr2+πrl…

Q: 5) A patio is in the shape of a circular sector with a central angle of 160.0°. It is enclosed by a…

A: Consider that the patio is in the form of sector with angle 160°, perimeter of the circular path of…

Q: The lateral area of a right circular cone is equal to 47.124 cm2 and the ratio of its radius to its…

A: We use the formula of the lateral area of the cone is πr(√(h2+r2)).and solve it . Volume of cone…

Q: 5. A scientist wants to know the radius of a huge round crater caused by an asteroid that hit the…

A:

Q: 7. A liquid vessel which is initially empty is in the form of an inverted regular hexagonal pyramid…

A: Solutions

Q: 16. Suppose the base of the shed is enlarged so that the length of each side is 10 feet. What is the…

A: According to our guidelines we have to answer the first question if multiple questions are posted at…

Q: 16) The radius of a fresh wheel of cheese is 3 inches and the height is 6 inches. (a) What is volume…

A: The radius of a fresh wheel of cheese is 3 inches and the height is 6 inches.A wedge is cut from the…

Q: 9. A chord is 22 cm long. It is 60 cm from the center of the circle. What is the radius of the…

A: Draw a schematic diagram of given question, Given data, A circle with center O Chord, AB = 22 cm…

Q: 1. Determine the area and dimensions of the largest rectangle that can be inscribed in a circle of…

A:

Q: A 0.500m long hexagonal concrete shaft measuring 20.0cm across the corners has a triangular hole…

A: Given data :  Length of the shaft , h = 0.500 m                                      = 50 cm  side…

Q: 1. A right triangle with area 2 square units is inscribed in a circle. If the center of the circle…

A: Given, a right triangle with area 2 square units is inscribed in a circle. Center of circle lies on…

Q: 7. The army squad tent shown in the figure has a roof with trape- zoidal sides whose bases form a…

A:

Q: 5. The volume of a cone is 96 n cubic inches. Its height is 2 inches. What is its radius? What is…

A: Given that: Volume of a cone, V=96π in3Height of cone, h=2 inSlant height, l=4 in

Q: 18. The area of the trapezoid is 169 cm?. The point of intersection of the diagonals divides each of…

A:

Q: 5) An aquarium tank in the shape of a rectangular prism is 20 inches long by 16 inches wide by 12…

A: The tank dimensions are  Length l = 20 inches Width b = 16 inches Height h = 12 inches

Q: 10. A sphere is inscribed in a right circular cone whose slant height has a length equal to that of…

A: Given:

Q: 4. A frustum of a regular pyramid with central angle is inscribed in a frustum of a cone whose…

A: Given data:- Central angle of regular pyramid =π2 Height  of cone = 12  Slant height of cone = 13…

Q: An isosceles triangle has two equal sides of length 15 inches. Find the angle (apex angle) between…

A:

Q: 5. A circular piece of cardboard with a diameter of 1 m will be made into a conical hat 40 cm high…

A:

Q: perpendicular to a segment at its midpoint. 20. Complementary angles are two angles with measures…

A:

Q: 1. The picture shows a circle divided into 8 equal wedges which are rearranged. The radius of the…

A: In the question it is asked to verify area of circle from the 8 equal wedges diagram.

Q: 5.A circle whose area is 452 cm2 is cut into two segments by a chord whose distance from the center…

A:

Q: A rectangle (length is larger than width) is cut by a diagonal line. What kind of triangles are…

A: Clearly, from defination of rectangle  We have the following properties of rectangle:  1) opposite…

Q: A fuel oil tank is an upright cylinder, buried so that its circular top is 10 feet beneath ground…

A: The work is:-

Q: 1. A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of a Norman…

A:

Q: 1. A trough is 1m long and its cross section is a triangle which is 3m high and 2m wide across the…

A: The shape of the trough is like a prism, which has a cross-section and height. The area of the prism…

Q: A fuel oil tank is an upright cylinder, buried so that its circular top is 10 feet beneath ground…

A:

Q: A rectangle has dimensions 10 cm by 5 cm. Determine the measures of the angles at the point where…

A:

Q: 10. A vertical pole 45.0 ft high stands on level ground and is supported by three guy wires attached…

A: 10. A vertical pole 45.0 ft high stands on level ground and is supported by three guy wires attached…

Q: 11. An isosceles trapezoid whose bases have lengths 48 ft. and of 64 ft. is inscribed in a circle of…

A:

Q: Find the total surface area of a triangular pyramid. The base is regular with one side equal to 6 cm…

A:

Q: 7. The army squad tent shown in the figure has a roof with trape- zoidal sides whose bases form a…

A:

Q: . Find the area of the largest circle which can be cut from a square of edge 4 meters. What is the…

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

Q: 1. A right triangle with area 2 square units is inscribed in a circle. If the center of the circle…

A: Given Right angle triangle area is 2 sq. units In a semi circle OA=OB=OC=rradius of circle

Q: 1) The area of zone (B) is 4500 m?, find the area of zone (A). shape (A) is regular, (B) is a half…

A:

Q: 2. A frustum of a regular pyramid with central angle is inscribed in a frustum of a cone whose…

A: Given: A regular pyramid with a central angle is inscribed in a frustum of a cone whose height and…

Q: An isosceles trapezoid has an area of 40m² and a height of 2m. Its two bases have ratio of 2:3. What…

A: given            Area of trapezoids(A)=40 m2  height (h)= 2 m base ratio  a : b = 2 : 3  Find…

Q: 2. Two small circls tangent to each other are inscribed in a rectangle. A bigger circe is…

A:

Q: e base of a solid is the circle x2+y2=36. Find its volume if every section perpendicular to a fixed…

A: Given, the base of a solid is the circle x2+y2=36.

Q: 4. A steel pipe is being carried down a hallway 9 ft wide. At the end of the hall there is a…

A:

Q: 6.A cone was formed by rolling a thin sheet of metal in the form of a sector of a circle 72 cm in…

A:

Q: The total surface area of a right circular cylinder is 84πcm ² and the altitude is 11 cm. Find the…

A:

Q: The section is about polyhedrons and spheres The chapter is on surfaces and solids   Thanks!

A:

Q: The roof of a water tower is composed of eight equal isosceles triangles whose vertices meet at the…

A: Given that, The roof of a water tower is composed of eight equal isosceles triangles whose vertices…

Q: A rectangular piece of paper with length 37 cm and width 16 cm has two semicircles cut out of it, as…

A:

Q: 13) The pyramid shown to the left has a square base of length 18 cm and a 0 ss bsau ar (0, height of…

A: Pyramid has square base of length 18cm and height of 12 cm

Q: 2. The volumes of two similar pyramids are 1331 cm³ and 2744 cm³. Find the ratio of their heights.…

A:

Q: An isosceles trapezoid has an area of 40m² and a height of 2m. Its two bases have ratio of 2 : 3.…

A: The isosceles trapezoid is a trapezoid with the non-parallel sides being equal. The area of an…