Answer:
52 ft²
Step-by-step explanation:
When you are calculating the amount of cardboard needed to make a box, you are trying to the the <u>surface area</u>.
The formula for surface area of a rectangular prism is:
SA = 2(lw + hl + wh)
The dimensions for the box are written l X w X h (length times width times height).
We know:
l = 4
w = 3
h = 2
The units for surface area is the unit squared. Feet squared is ft². Be sure the include the units.
Substitute these numbers into the formula. When solving, solve in the BEDMAS order (brackets, exponents, division and multiplication, addition and subtraction).
SA = 2(lw + hl + wh) u²
SA = 2((4*3) + (2*4) + (3*2)) ft² Multiply within each smaller bracket
SA = 2(12 + 8 + 6) ft² Add inside the brackets
SA = 2(26) ft² Multiply
SA = 52 ft² Final answer
Therefore 52 square feet of cardboard will be needed to make the box.
Answer:
(a) 7.5 seconds
(b) The horizontal distance the package travel during its descent is 1737.8 ft
Step-by-step explanation:
(a) The given function for the height of the object is s = -16·t² + v₀·t + s₀
The initial height of the object s₀ = 900 feet
The initial vertical velocity of the object v₀
= 0 m/s
The time it takes the package to strike the ground is found as follows;
0 = -16·t² + 0×t + 900
900 = 16·t²
t² = 900/16 = 62.25
t = √62.25 = 7.5 seconds
(b) Given that the horizontal velocity of the package is given as 158 miles/hour, we have
158 miles/hour = 231.7126 ft/s
The horizontal distance the package covers in the 7.5 second of vertical flight = 231.7126 ft/s × 7.5 s = 1737.8445 feet = 1737.8 ft to one decimal place
The horizontal distance the package travel during its descent = 1737.8 ft.
Hello,
Answer D
y=2x/7+4
x=2y/7+4
(x-4)*7/2=y
Density of water = 1000 kg/m^3
1 m^3 = 1000 litres
Therefore,
1000 kg/1000 l => 1 kg/l => 1000 g/l
Then, 300 g of water = 300/1000 l = 0.3 l
The concentration of the syrup = mass/amount of water = 60 g/0.3 l = 200 g/l
Answer:
Hi there!
Your answer is:
0+ 10i!
I takes away the negative. √100 is equal to 10
