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Answer:
2340
Step-by-step explanation:
3 3/4=15/4 3 1/4=13/4 turn the mixed fractions into improper fractions
(15/4)(3)(13/4)=36.5625ft³ this is the volume of the shipping box
(1/4)(1/4)(1/4)=1/64ft³ this is the volume of the fish food box
36.5625/(1/64) divide it to find out how much fish boxes can fit
36.5625×64 flip the fraction and multiply
2340
Answer:
13 feet long
Step-by-step explanation:
This situation forms a right triangle, where the ladder is the hypotenuse, the distance away from the building is the short leg, and the height to the side of the building is the long leg.
Use the pythagorean theorem, and solve for c, the hypotenuse:
a² + b² = c²
5² + 12² = c²
25 + 144 = c²
169 = c²
13 = c
So, the ladder is 13 feet long
Answer:
<em>1) the exact distance = 9.428571429 feet</em>
<em>the approximate distance = 9.4 feet</em>
<em></em>
<em>2) the exact area = 7.071428571 ft^2</em>
<em>the approximate area = 7 ft^2</em>
<em></em>
Step-by-step explanation:
Required diameter d = 3 feet
1) The distance around the outside of the pit is the circumference of the circle that will be formed by this circular fire pit.
circumference of a circle is given as = πd =
x 3 = 9.428571429 feet
the exact distance = 9.428571429 feet
the approximate distance = 9.4 feet
2) The area of the circle that will be formed =
=
= 7.071428571 ft^2
the exact area = 7.071428571 ft^2
the approximate area = 7 ft^2
Answer:
The length of the sides of the square is 9.0015
Step-by-step explanation:
Given
The diagonal of a square = 12.73
Required
The length of its side
Let the length and the diagonal of the square be represented by L and D, respectively.
So that
D = 12.73
The relationship between the diagonal and the length of a square is given by the Pythagoras theorem as follows:

Solving further, we have

Divide both sides by 2


Take Square root of both sides


Reorder

Now, the value of L can be calculated by substituting 12.73 for D




(Approximated)
Hence, the length of the sides of the square is approximately 9.0015