Answer:
The answer should be M = 5/9(R - 21)
Step-by-step explanation:
To find this value, follow the order of operations to isolate M.
R = 9/5M + 21
R - 21 = 9/5M
5/9(R - 21) = M
Answer:
the volume of the solid is 
Step-by-step explanation:
Given the data in the question;
y = x and y = x²
so
x = x²
x - x² = 0
Radius will be; r = ( x - x² )/2
Area of the circular disk πr² = π[ ( x - x² )/2 ]²
A =
( x - x² )²
So, our volume will be;
V = ₀∫¹ A(x) dx
we substitute
= ₀∫¹
( x - x² )² dx
{ lets expand; ( x - x² )² = x(x-x²) -x²(x-x²) = x² - x³ - x³ + x⁴ = x² + x⁴ - 2x³ }
so we have;
= ₀∫¹
( x² + x⁴ - 2x³ ) dx
=
+
-
![]^1_0](https://tex.z-dn.net/?f=%5D%5E1_0)
=
[
+
-
]
=
[
]
V = 
Therefore, the volume of the solid is 
Answer : Distance will be 1507.2 feet .
Explanation :
Since we have given that
Radius of circle = 80 feet
So,
Circumference of circle is given by

Since , a car travels 3 times around a traffic circle.
So,

So, Distance will be 1507.2 feet .
x = 6
Step-by-step explanation:
It's based on similarity of triangles
DEF ~ △XYZ

The sides should be taken in order, like the triangles start with DE and XY so, we'll proportionate DE and XY and then the next two sides and so on.
I'm using
to get the value of x.
[You can use any two fractions out of the three given above. ]







Hence, the value of x is 6.
Factors of 36 are 18,12,9,6,4,3,2,1
The common factor of 16 and 36 are 4,2,1