Answer:
68°
Step-by-step explanation:
As BA⊥BD, so ∠ABD = 90°
also, ∠ABD = ∠CBD + ∠ABC
⇒ 90° = 4x + 52° + 8x - 10°
⇒ 12x = 48°
⇒ x = 4°
now,
∠CBD = 4x + 52°
= 4(4°) + 52°
= 68°
Answer:
42 cm cubed
Step-by-step explanation:
6x4x4 to find volume of 96 when it is filled.
3x3x6 = 54 to find out what is cut out.
96-54 = 42 cm cubed.
A. $40, because you would do 1,000 × 1.04 = $1,040, and then subtract the original $1,000.
b. $81.60, because 1,000 × 1.04² = 1,081.6
c. $480.24, because 1,000 × 1.04^10 = 1,480.24.
I have used the formula for compound interest presuming you were aware of it, but I will be happy to explain what I did if you want :).
I hope this helps!
Answer:
-12
Step-by-step explanation:
I am assuming that you want (f*g)(4), which is the product of f and g at x = 4.
If this is actually the case, then one way to evaluate (f*g)(4) is to find f(4) and g(4) separately and then multiply the results together. This gives us
f(4)*g(4) = (8 + 4)*(-4 + 3) = -12
Step-by-step explanation:
(64y100)1/2
1/2×64y 1/2×100
32y50