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
We can solve this problem by first solving for the total
volume of the cube. The formula for volume of cube is given as:
V cube = s^3
Where s is the length of one side which is equivalent to
2 inches. Therefore:
V cube = (2 inches)^3
V cube = 8 cubic inch
Assuming that all the pebble fills the cube without any
spaces, then the total weight of the pebbles in the cube would simply be:
Total weight = 0.5 lb per cubic inch * 8 cubic inch
Total weight = 4 lb
Therefore, the total weight of the pebbles in the cube is <u>4
lbs</u>.
Answer:
x = 4.2
Step-by-step explanation:
72 + 10x = 114
10x = 114 - 72
10x = 42
x = 42/10
x = 4.2
The statement that is correct about the volume of the cone is, a cylinder is exactly 3 times bigger than a cone with the same height and radius. Therefore, the formula for the volume of a cone is 1/3 of the volume of a cylinder with the same height and radius.
<h3>The formula for the volume of a cone</h3>
If we look carefully at a cylinder and the cone, if both the objects have the same radius, still the volume of both the objects is different, that difference is been created because the cone is gradually decreasing to a point while the cylinder is of the same radius during the entire length.
This makes a difference in the volume of the two objects.
Therefore, the statement that is correct about the volume of the cone is, a cylinder is exactly 3 times bigger than a cone with the same height and radius.
Hence, the formula for the volume of a cone is 1/3 of the volume of a cylinder with the same height and radius.
Learn more about Cone:
brainly.com/question/1315822
Answer:
see below
Step-by-step explanation:
9 ^-5 * 9^-3
When multiplying these we ADD the exponents:
9^-5 * 9^-3
= 9^(-5 + -3)
= 9 ^-8
= 1/9^8 Option A
2. 2^14 / 2^7 This is a division so we SUBTRACT the exponents:-
= 2^(14 - 7)
= 2^7 (answer)
3. If the triangle is a right angled one then it will obey Pythagoras Theorem so:-
13^ = x^2 + 5&2
x^2 = 13^2 - 5^2
x^2 = 144
x = 12 (answer)
4. The last choice is a crucial step.
The total area of the triangles is the same in both large squares so the area of the large square e^2 = a^2 + b^2 ( the 2 squares in the left side large square).
