Answer: 8/35 is the exact answer as a fraction; approximately that is equal to 0.22857 (rounded to 5 decimal places)
Work Shown:
The volume of this prism is equal to the length times width times height. We multiply the three fractions out. To do this, multiply straight across. The numerators group up and multiply. The denominators form a separate group to multiply.
Multiply the numbers up top (numerators): 2*3*4 = 6*4 = 24
Multiply the numbers in the bottom (denominators): 3*5*7 = 15*7 = 105
We end up with 24/105. We can divide both numbers by 3 to reduce the fraction (note how 3 is a factor of each multiplication above)
24/3 = 8
105/3 = 35
So that's how I got 8/35
If you want to convert to decimal form, then 8/35 = 0.22857 approximately.
<h2>
Height of tree is 7.5 feet</h2>
Step-by-step explanation:
Let t be the height of pole.
Given that the tree is 5 feet shorter than a pole.
Height of pole = t + 15
Also given that the pole is 3 times as tall as the tree.
Height of pole = 3t
So we have
t + 15 = 3t
2t = 15
t = 7.5 feet
Height of tree = 7.5 feet
<h2>
Answer:</h2>
<h2>Given:
</h2>
<h2>
Step-by-step explanation:</h2>
In this problem, we need to find the value of the given expression for which we need to simplify the given expression.
We need to solve the numbers within the parentheses.
We can bring the constant one side and variables another side.
Taking fourth root for ‘8’ and ‘3’ will give numbers which are very tough to solve further.
Since, we cannot solve the above equation further. The value of the given equation remains,
Answer:
16π/9
Step-by-step explanation:
40°/360° = 1/9
40° is 1/9 of a circle
Arc length = 1/9 of circumference = (1/9)2πr = 16π/9
