An isosceles triangle has a base of /20 m. Each of the equal sides is 3/7 m long. What is the exact area of the triangle?

Q: 1. If the length of the radius of the base of the cone is r, what is the area of its base? 2. If the…

A: Given radius of base of cone is r we have to find the area of its base

Q: In a circle with the radius 2 cm, on its chord 2 sqrt(2) cm long taken as a diameter, constructed is…

A: Given that In a circle with the radius 2 cm, on its chord 2 sqrt(2) cm long taken as a…

Q: An equilateral triangle has an area of 18v3 in². A regular hexagon has side lengths equal to that of…

A: Solution ) area of equilateral triangle = √3 a2/ 4 18 √3 = √3 a2/ 4 18 = a2/4 18×4 = a2 72 = a2 a =…

Q: A piece of clay in the form of a cube that is 10 cm long How many balls can be formed from a piece…

A: Given: The clay is in the form of cube with side, a=10cm The ball will be in the shape of sphere…

Q: A regular polygon with 33 sides has a side length of 1.0 10-3 meters. Find the area of the polygon…

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Q: A cylinder has a base radius of 3cm and a height of 2cm. What is its volume in cubic cm, to the…

A: Volume of cylinder is pir^2h

Q: For a right circular cone, the slant height has a measure equal to twice that of the radius length…

A: Given a right circular cone. Whose total area is 48π in2. Slant height=Twice of radius. Let, For…

Q: A round table has six equal designs as shown in the figure ,If the radius of the table top is 14 cm…

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Q: A big circle is inscribed in a square. A small circle is tangent to the big circle and to two sides…

A: To find the exact area of the small circle from the given picture

Q: A temple features 46 columns, which are roughly cylindrical. The circumference of each column at the…

A: Since, the columns are cylindrical, hence, the base of column is circle. Circumference of a circle…

Q: 3. The volume of oblique prism with a pentagon base is 9000 cubic feet. and an edge of 150 feet…

A: Given- The volume =9000 ft3,length of the edge= 150 ft, θ=30°. To Find- The length of the side.…

Q: What is the approximate area of a regular pentagon with apothem length 6.3 cm and each base edge…

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Q: The ratio of the lengths of the radii of two similar cones is 3:5. What is the ratio of the surface…

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Q: 1.) A regular pentagon has a radius of 8 ft. What is its area?

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Q: A spherical ball with a radius of 10 cm is full of water. If the water from the spherical ball is…

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Q: A trophy is to be molded out of a metal that costs 3 cents per cubic centimeter. If the shape is a…

A: Consider the diagram of the trophy as per given information,

Q: Two squares each with 12 cm sides overlapped each othe such that the overlapping area is a regular…

A: Given  Two squares (each side is 12 cm)  overlapped each other and form a regular octagon. Each side…

Q: What is the side length of the smallest square plate on which a 40-cm chopstick can fit along a…

A: Let us consider the square plate with side a .

Q: In a certain isosceles right triangle, the altitude to the hypotenuse has length 4sqrt2. What is the…

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Q: For a right circular cone, the slant height has a measure equal to twice that of the radius length…

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Q: If the surface area of cone D is 55Tt, and the distance s between the cone's tip and a point on the…

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Q: A side of an equilateral triangle is 26 yd long. What is the area of the triangle? Do not round any…

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Q: A circle can be inscribed in an equilateral triangle, each of whose sides has length 10 cm. Find the…

A: Given:  Length of side of an equilateral triangle inscribed is 10 cm. To find the area of the…

Q: 2. A snowcone with a radius of 4 cm is sold in a cone-shaped paper cup with a height of 12 cm and an…

A: Snowcone is a crunchy ice ball. If r is the radius of any spherical shape body then its volume is…

Q: Assuming a soap bubble is a perfect sphere, what is the diameter of a bubble containing 1,200 cm3 of…

A: In this question the volume of spherical water bubble is given and we have to find the diameter of…

Q: An isosceles right triangle is inscribed in a circle that has a diameter of 12 in. Find the exact…

A: The figure is as below.

Q: If an open box is made from a square tin sheet 12×12 in. by cutting an identical squares from each…

A: in this question, there is an open box made by 12*12in  tin sheet For the box to be of the largest…

Q: One part of a quartz crystal is a hexagonal prism with a right section of 1.29 sq. in., an edge of…

A: Formula Used: Volume of hexagonal prism = altitude × Area of base Volume of hexagonal prism = Area…

Q: A cylinder of clay has a diameter of 12 cm and a height of 12 cm. If this clay is made into…

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Q: Suppose a Red Oak is 30 ft high with a tree trunk radius of 2.5 ft and a Birch tree is 50 ft high…

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Q: A side of an equilateral triangle is 16 m long. What is the area of the triangle? Do not round any…

A: We need to find area of triangle.

Q: What is the area of the bottom? If the surface area of a right angle cone A is 48Tt, and the…

A:

Q: A right square pyramid has 15 cm on a side of its base ana an altitude of 18 cm. Find the area of a…

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Q: The length of arc AB of a circle with center at O is equal to twice the length of the radius r of…

A: Let's first sketch the figure for this question:…

Q: A triangular prism has base edges 2 cm, 3 cm, and 4 cm long. Its lateral area is 162 cm2. What is…

A: Let a, b, and c be the lengths of the sides of the triangle and "h" be the height of the prism.…

Q: If area of a triangular peice of cardboard is 90 cm2 , then The length of altitude corresponding to…

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Q: a) The edge of a plot of land is in the shape of the arc of a circle having radius 220 feet and…

A: (a) It is given that edge of a plot of land is in the shape of circle with a radius of 220 feet. To…

Q: A baseball diamond is in Second base the shape of a square with 90-ft sides. How far is it from home…

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Q: The area of an annulus is equal to a quarter of the area of the inner circle.  Solve for the…

A: In this question we have to find the diameter.

Q: A circular cylinder with a volume of 6.54 cu.m is circumscribed about a right prism whose base is an…

A: Given that: Volume of cylinder, V=6.54 m3Base of equilateral triangle, a=1.25m

Q: A cone has a radius of 5 and a height of 11. What is the volune?

A: Volume of cone =13πr2h where r is the radius of cone and h is the height of the cone.

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: An equilateral triangle has a height of 20 inches. How long is one of its sides? (Hint: Use the…

A:

Q: For a right circular cone, the slant height has a measure equal to twice that of the radius length…

A: Consider the radius of a right circular cone = r So slant height l=2r Given that total area of the…

Q: What is the area of a triangle with a base of 7in. and a height of 12 in ? (SHOW WORK be sure to…

A: Area of triangle = 1/2 * b*h.    b = base of triangle h = height of triangle

Q: rectangle

A: The diameter of circular sheet will be equal to the diagonal of of rectangle.

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…