Answer:
The new volume is 1/343 of the old volume or the ratio of the new volume to the old volume is 1 to 343
Step-by-step explanation:
In this question, we are asked to state the effect of multiplying the radius of a sphere by 1/7 on the volume.
Mathematically, the volume of a sphere V can be calculated using the formula
V = 4/3 * π * r^3
Now multiplying the radius by 1/7, the new radius will be r/7
Thus the new volume here will be
V2 = 4/3 * π * (r/7)^3
V2 = 4/3 * π * (r^3)/343
Thus we can conclude that the value of the volume will be decreased by a factor of 343
Meaning the ratio of the old volume to the new volume will be 1 to 343
Answer:
A =112 in^2
Step-by-step explanation:
The area of a parallelogram is found by
A = bh where b is the base length and h is the height
A = 14*8
A =112 in^2
Answer:
x = 28
Step-by-step explanation:
It gives you the value of the midsegment, which is 16. So you need to set up the equation as:
x + 4 = 2 × 16
You're multiplying 16 (the midsegment) by 2, because the it is <em>half</em> of x + 4, and you need to be able to set both parts of the equation equal to each other.
x + 4 = 32
Then, subtract 4 from both sides:
x + 4 = 32
-4 -4
_________
This gives you the answer of:
x = 28
Answer:
Step-by-step explanation:
Given expression:
Note: <em>The value of "x" is undefined because the given sum is not an equation. Thus, I will simplify the expression as much as possible. </em>
Let us simplify all the distributive properties stated in the expression.
Apply the distributive property rule <u>[a(b + c) = ab + ac]</u>
Since 5(x) is being subtracted from 5(x), we get:
Finally, let us simplify the sum of the product of (5 and 4) and (5 and 2).
Learn more about one-variable expressions: brainly.com/question/15139917
Answer:
0.971
Step-by-step explanation:
Given the expression (cos (arctan √3/7)) which all lies in the first quadrant. Note that all the trigonometry identities (sin, cos and tan) are all positive in the first quadrant.
From the expression given
(cos (arctan √3/7)), we need to get the expression in parenthesis first.
Let y = (cos (arctan √3/7))
If u = arctan √3/7
Then y = cos(u) .... 1
Let's get the value of u first
u = arctan √3/7
u = arctan(0.2474)
u = 13.896°
Substituting u = 13.896° into equation 1, we will have;
y = cos(u)
y = cos13.896°
y = 0.971.
Hence the expression (cos(arctan√3/7)) is equivalent to 0.971
