Answer:
Perimeter of △BDC=Sum of all the sides=BD+DC+CB=15+15+15=45
Step-by-step explanation:
Given ΔABC is an isosceles triangle, thus, AB=BC=x and AC=12,
perimeter of △ABC is=42
⇒x+x+12=42
⇒2x=30
⇒x=15
Thus, AB=BC=15
Now, △BDC is an equilateral triangle therefore BD=DC=BC=x
Since, x=15, therefore BD=DC=BC=15
Now, Perimeter of △BDC=Sum of all the sides=BD+DC+CB=15+15+15=45
The answer for your problem is x = 26
The radius of the cylinder's base is 8, so the volume of the cylinder is

(using the approximation of

).
The sphere has radius 6, so the volume of the sphere is

.
The volume of the shaded region is the difference between the two: 3617.28 - 904.32 = 2712.96. Rounded to the nearest integer gives an answer of 2713.
Answer:
D! Both their decimal forms are equal to 5.65685424!
Answer:
C = 0.65M+19.65
Step-by-step explanation:
Given the the standard charge S (in dollars) given by the function
S = 0.40M + 15.75, where M is the number of miles driven.
Also the insurance charge I (in dollars) is given by the function
I = 0.25M + 3.90
If C is the total charge (in dollars) for a rental that includes insurance, then:
C = S + I
Substitute the given function into the expression:
C = 0.40M + 15.75 + 0.25M + 3.90
Collect like terms
C = 0.40M+0.25M+15.75+3.90
C = 0.65M+19.65
<em>Hence an equation relating C to M is expressed as C = 0.65M+19.65</em>