Solve for the radius of the sphere if the volume is 21.45 ft3. Show your work and explain the steps you used to solve. Round your answer to the nearest whole number. Use the paperclip button below to attach files. Student can enter max 3500 characters Ω

Q: 24 cm 70

A: From the given triangle cos(700)=x/24 ....... (1)

Q: A water tank is shaped like an inverted cone with height 18 m and base radius 3 m (see figure). If…

A: Given: To explain the correct answer of the given statement as follows,

Q: house

A: Please refer to the image below

Q: The bottom of a ladder must be placed 3.5 feet from a wall. The ladder is 15 feet long. How far…

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Q: A lawn sprinkler is located at the corner of a yard. The sprinkler is set to rotate through 90° and…

A: The area covered by the water sprinkler is in the form of a sector. θ=90°r=70feet We have to…

Q: Find the volume of a sphere with the given radius or diameter. Express your answers in both decimal…

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Q: Create trig ratios to solve for the variables. Round your answers to one decimal place: 12 cm 80 y

A: Given:

Q: A cone-shaped paper drinking cup is to hold 40 cm³ of water. Find the height and radius of the cup…

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Q: Juan wants to know the length of a tunnel built through a mountain. To do so, he makes the…

A: The endpoints of the tunnel and the man are making a triangle. Use the trigonometric formulas to…

Q: 2-lb. box of sugar has the approximate dimensions 12 Give the dimensions of a similar box of sugar…

A: Given: To determine: Sides of the box of 3 lbs

Q: revolved about the side of length 40 m. the altitude has a measure equal to that of 1000 amid is…

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Q: When the sun is 20° above the horizon, how long is the shadow cast by a building 50 m hig

A: We have to find the shadow length

Q: The diameter of a circle is equal to 24 cm. Find the area of the sqaure inscribed in the circle.

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Q: the diameter of a circle is 10 m. Find its area to the nearest tenth

A: Given that Diameter of circle =10 mTo find ; Area of circle .Solution :Radius r=Diameter d2r=10 m2=5…

Q: A painter leans a 34-ft ladder against a building. The base of the ladder is 16 ft from the building…

A: Here we use Pythagoras theorem to solve this problem.

Q: A town is building a new water tower that must hold 50,000 cubic feet of water. A common type of…

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Q: A ball has a radius of 7.8 cm. Find the circumference of the ball. (This is the amount of string…

A: Given that: Radius of ball, r=7.8 cm

Q: A 14-foot ladder is set up 4 feet from the base of a building. How far up the building does the…

A: given: A 14 foot ladder is set up 4 feet from the base of a building. we have to calculate how far…

Q: A water tank is shaped like an inverted cone with height 18 m and base radius 3 m (see figure). If…

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Q: Solve for x using trig ratios. (Round answer to nearest whole degree) 23 34 X= • 45° O 56° 63

A: A triangle is a polygon with three sides. A right triangle is a triangle with one of its angles…

Q: A walkway forms one diagonal of a square playground. The walkway is 20 m long. How long is a side of…

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Q: The volume of a cylinder is 352r cm3. The radius of the base of the cylinder is 4 cm. What is the…

A: A cylinder is locus of points equidistant from a line segment. The line segment is the axis of the…

Q: A postcard is 3 inches by 5 inches. You want to enlarge it to make a poster. A print shop can…

A: Let the width of the enlarged poster is x ft. Ratio of the lengths and ratio of the widths must be…

Q: A tower 50.0 ft high has a guy wire that is attached to its top and anchored in the ground 15.0 ft…

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Q: . A 40-ft boom on a crane is attached to the crane platform at point D. A cable is attached to the…

A: Given ∆BDA, Length of BD = 40ft Length of AD = 12 ft Let length of AB be L ft. Also ∠BDA=85.2∘

Q: To approximate the length of a marsh, a surveyor walks x = 460 meters from point A to point B, then…

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Q: 28.) One gallon fills about 231 in3. A right cylindrical carton is 12 inches tall and holds 9…

A: 1 gallon = 231 in3 9 gallons = 9* 231                =  2079 in3 right cylindrical carton holds 2079…

Q: A street that is 208 m long is covered in snow. City workers are using a snowplow to clear the…

A: Given data ,  Length of road covered by snow = 208 m  Diameter of  tires of Snowplow = 1.9 m    Let…

Q: Find the area. A rectangle has a base of 16 ft and an area of 128 ft^2. What is the height of the…

A: we use the formula the area of rectangle is A=Base×hight. see 2nd step.

Q: Find the length x to the nearest whole number. (Do not round until the final answer. Then round to…

A: Given: Triangle graph is given , in which angel and one distance is given

Q: Calculate the height (?) of the part below. Round each to the nearest tenth of a cm. Show all work…

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Q: The 6-ft wall shown here stands 26 ft from the building. Find the length of the shortest straight…

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Q: First give the exact answer, expressed as a simplified radical expression. Then give an…

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Q: . Write the formula for the volume of a cone V =ar?h in terms of h. Find the height h of a cone with…

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

Q: how to find the length of the bases of a trapezoid if the larger base is twice the smaller base. the…

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Q: 24 ft 7 ft How long must the ladder be in order for the fire fighter get to the top to rescue the…

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Q: The volume of a cube is 1000 cm. Find the length of one side. Round to the nearest whole number.…

A: We have to find the length of one side of cube when volume of cube is 1000 cm3. We know the volume…

Q: A cone-shaped paper drinking cup is to hold 80 cm³ of water. Find the height and radius of the cup…

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Q: Solve for the area of a regular hexagon with an apothem of 5/3 and sides that each measure 10. Show…

A: Given: For regular hexagon apothem =53                            side s=10 There are 6 sides in…

Q: The diameter of a cylindrical propane gas tank is 4 feet. The total volume of the tank is 540.4…

A: Use volume formula of cylinder

Q: A cone-shaped paper drinking cup is to hold 60 cm of water. Find the height and radius of the cup…

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Q: A lawn sprinkler is located at the corner of a yard. The sprinkler is set to rotate through 90° and…

A:

Q: A company makes wax candles in the shape of a cylinder. Each candle has a radius of 4 inches and a…

A: Note:- Volume of a cylinder of radius r and height h = π r2 h Given information Shape of candles =…

Q: 19. The peak of Mt. Everest is about 8850 m above sea level. About how 8.85 many kilometers is it…

A: We will Pythagoras theorem to solve this problem.

Q: A 20 ft ladder is leaning against a wall. The ladder is 15 ft up the wall. Part A. How far to the…

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Q: A brand new filled jar of jam is 10 cm tall and has a radius of 5 cm. Ann's family eats some of the…

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Q: A lawn sprinkler is located at the corner of a yard. The sprinkler is set to rotate through 90° and…

A: The radius of the area = 60 feet. Angle for the area = 90 degrees. The area looks like:

Q: A full waterbed mattress is 7 ft by 5 ft by 2 ft. The mattress is to be filled with water that…

A: Given that: Dimensions of matteress: 7ft x 5ft x 2ft                    Density of water = 62.4…

Q: The surface area of a sphere is 1,000 IT Find the diameter. Round your answer to the nearest tenth.

A: Given  The surface area of the sphere SA = 1000π To find the diameter of the sphere

Q: A water lily floating in a murky pond is rooted on the bottom of the pond by a stem of unknown…

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