Answer:
Yes (432 = 9 x48).
Step-by-step explanation:
The trick you need to know is the theorem that says that if the digits in a number add up to a multiple of 9, then the number itself is divisible by 9.
So we go 4+3+2 = 9.
So as this sum of 9 is divisible by 9, it means 432 is also divisible by 9.
If you want to work out the actual answer of 432 divided by 9, you can estimate it by doing 450 ÷ 9 = 50. Then see that 432 is 18 less than 450. And 18 = 2x9. So the answer to the division is 50-2 = 48.
<h3>E
xplanation:</h3>
Replace cos^2(θ) with 1-sin^2(θ), and cot(θ) with cos(θ)/sin(θ).
cos^2(θ)cot^2(θ) = cot^2(θ) - cos^2(θ)
(1 -sin^2(θ))cot^2(θ) = . . . . . replace cos^2 with 1-sin^2
cot^2(θ) -sin^2(θ)·cos^2(θ)/sin^2(θ) = . . . . . replace cot with cos/sin
cot^2(θ) -cos^2(θ) = cot^2(θ) -cos^2(θ) . . . as desired
-12,3 ...................................
$1100 x 1.021^7 = $1272 (whole number.)
the $1100 is the original amount of money put in the bank with the 1.021 being the interest rate. this was put to the power of 7 to represent the years the money will be in the account.
Answer:
b, c, d are all false
Step-by-step explanation:
Let x=4, y=2. The given statement says ...
... -4 < -2 . . . . . a true statement.
Now, let's look at the answer choices.
... a. -4 < -2 . . . . true
... b. 2(4) < 2(2) . . . . false
... c. 4 +2 < 2 +2 . . . . false
... d. 4/2 < 2/2 . . . . false
Then "a" is true, and "b", "c", and "d" are false.
