Question

In: Math

if you a square that is 3' 5" in width, length and height. How many five...

if you a square that is 3' 5" in width, length and height. How many five point stars (2" in size) filled with air will fit into the square? Please show all work.

Expert Solution

Ans :

Here ABCD is a given square with side length = 3'5"

Therefore area of the given square is

now (as 1' = 12")

Therefore area of square is

Following is the given five point star

Area of this star can be found as following

Area = 5*(Area of triangle ABC) + 5*(Area of triangle COD)

Area of triangle ABC

Area of triangle COD

Therefore area of star

= 5 * (1.175) + 5 * (0.5257)

= 8.5 (inch^2)

There fore number of stars that can be fit into square are

Hence total of 197 stars can be fit into the given triangle

milcah answered 3 years ago

The length, width, and height of a box are measured as 5 ft, 4 ft, and...

The length, width, and height of a box are measured as 5 ft, 4 ft, and 8 ft, respectively, with an error in measurement of at most 0.3 ft in each. Use differentials to estimate the maximum error (in feet) in the calculated volume of the box.

Find the length and width of a square basin for virus disinfection of a flow of...

Find the length and width of a square basin for virus disinfection of a flow of 5 MGD. You may assume a depth of 5 ft, a Cxt product of 20 (mg/L) min for 3-log removal, and a target free chlorine residual of 0.4 mg/L.

The length ℓ, width w, and height h of a box change with time. At a...

The length ℓ, width w, and height h of a box change with time. At a certain instant the dimensions are ℓ = 4 m and w = h = 1 m, and ℓ and w are increasing at a rate of 8 m/s while h is decreasing at a rate of 2 m/s. At that instant find the rates at which the following quantities are changing. (a) The volume. (b) The surface area. (c) The length of a diagonal....

The length l, width w, and height h of a box change with time. At a...

The length l, width w, and height h of a box change with time. At a certain instant the dimensions are l = 2 m and w = h = 3 m, and l and w are increasing at a rate of 7 m/s while h is decreasing at a rate of 5 m/s. At that instant find the rates at which the following quantities are changing. (a) The volume. m3/s (b) The surface area. m2/s (c) The length of...

The length, width, and height of a room are measured to be 4.1 meters, 3.2 meters,...

The length, width, and height of a room are measured to be 4.1 meters, 3.2 meters, and 2.4 meters, respectively. Each measurement is subject to a 1% error. Find the volume of the room and it’s uncertainty in cubic meters. Assume that the percentage errors add. Express the answer with the appropriate number of significant digits.

Write a PHP program using HTML form. It will take Length, Width and Height of a...

Write a PHP program using HTML form. It will take Length, Width and Height of a box as input. When a button is pressed, it will calculate the Volume. If Volume is less than 25 then display the message “Small box”. If Volume is from 25 to 50, it will display the message “Medium box”. When the Volume is greater than 50, then display the message “Large box”.

A Tank with a dimension of length (L) x width (B) x height (H) of 4m...

A Tank with a dimension of length (L) x width (B) x height (H) of 4m x 2m x 2m is filled with 1m depth of water and with oil to the fullest. Density of oil ρm= 801 kg/m3. The tank is open. 1.Calculate and draw pressure distribution on tank wall 2.Calculate force on the length and width side of tank wall, also on the bottom of the tank Given: ρwater= 1000 kg/m3 , g = 9,81 m/sec2

A wire of length L has a rectangular cross-section with height H and width W. The...

A wire of length L has a rectangular cross-section with height H and width W. The wire has a hole all the way through it of area a. The wire is made of material with constant resistivity ρ1 . A battery with a known voltage is applied across the ends of the wire. a. Find the electric field inside the material and the current flowing through the wire. b. If the hole is totally filled with a material that has...

3. a) Write a script to prompt the user for the length and width of a...

3. a) Write a script to prompt the user for the length and width of a rectangle, and print its area with two decimal places. Put comments in the script. b) Convert the script in part (a) to a function.

A wall in a building has a width of 15 m and a height of 3...

A wall in a building has a width of 15 m and a height of 3 m. It is made of several layers — a layer of motionless air with an R value of 0.12 K m^2 / W, a 12.4 mm thick layer of gypsum board with a thermal conductivity of 0.17 W/m K, a layer of brick with an R value of 1.7 m^2/ W, and another layer of motionless air with an R value of 0.12 K...