A.9
B.12
C.2
D.5
E.7.4
F.5 2/3 or 5.6666
Answer:
Mary's mistake was that she didn't take into account of the power that 10 is raised to; since 2.01 is multiplied by 10 to the 6, it makes 2.01 bigger. You can also expand the number to check:
2 010 000 vs. 4800
Answer:


Step-by-step explanation:
Note that the entire segment RT is the combined lengths of RS and ST. So:

We know that RT is 108, RS is (9y+5), and ST is (3y+7). Substitute:

On the right, combine like terms:

Add:

Subtract 12 from both sides. The right cancels:

Divide both sides by 12:

So, the value of y is 8.
To find RS and ST, substitute 8 for y. So:

Substitute 8 for y:

Multiply:

Add:

Do the same for ST:

Substitute 8 for y:

Multiply:

Add:

Answer:

Step-by-step explanation:
- Height of cone (h) = 7 cm
- Formula for Volume of cone is given as:
- Plugging the values of h and r in the above formula, we find:
The required value of (g°h)(-3) is 5.
Step-by-step explanation:
Given,
g(x)= x-2 and h(x) = 4 - x
To find (g°h)(-3)
Now,
(g°h)(x) = g(h(x))
= g(4-x)
= (4-x)-2 = 2-x
So,
(g°h)(-3) = 2-(-3) = 5 [ putting x=-3]