Answer:
25 in.
Step-by-step explanation:
DEC is a right triangle. <DEC is a right angle.
(DE)² + (EC)² = (DC)²
DE = ½DB = ½(48 in.) = 24 in.
(24 in.)² + (7 in.)² = (DC)²
576 in.² + 49 in.² = (DC)²
(DC)² = 625 in.²
DC = 25 in.
Answer:
2 : 3
Step-by-step explanation:
Let,
Radius of cylinder 1 = R
Radius of cylinder 2 = r
Now,
We know that
Volume of cylinder = πr²h
=> πR²h/πr²h' = 20/27
=> R² × 5/r² × 3 = 20/27
=> R²/r² = 20/27 × 3/5
=> R²/r² = 4/9
=> R/r = √(4/9)
=> R/r = 2/3
=> R : r = 2 : 3
The answer is b, f[c(p)]=0.9265p.
f[c(p)]=f(0.85p)=1.09(0.85p)=0.9265p
Answer:

Step-by-step explanation:
So we have the equation:

First, multiply both sides by 3. This cancels out the denominator:

The left side cancels. Multiply the right:

Add 2 to both sides. The 2s on the left cancel:

Divide both sides by -2. The -2 on the left cancel.

Therefore, the answer is 11.
Answer:



Step-by-step explanation:
Given

Required
Find A, B and C
Rearrange the expression


To do this, we simply compare the expressions on both sides of the equation.
So, we have:
--- (1)
--- (2)
--- (3)
Divide both sides by x² in (1)


Divide both sides by x in (2)


Substitute 2 for A.


Make B the subject


Substitute 2 for A and -1 for B in (3)




Make C the subject

