Given that-
√(0.09×0.09×x) = 0.09×0.09×√z
On squaring both sides then
⇛[√(0.09×0.09×x) ]² = (0.09×0.09×√z)²
⇛ 0.09×0.09×x= (0.09)²×(0.09)²×(√z)²
⇛ (0.09)² × x = (0.09)²×(0.09)²×z
⇛ (0.09)² × x/z = (0.09)²×(0.09)²
⇛x/z = (0.09)²×(0.09)²/(0.09)²
⇛x/z = (0.09)²
⇛x/z = 0.09×0.09
⇛x/z = 0.0081
<u>Answer</u><u>:</u><u>-</u> Hence the value of x/z will be 0.0081 r respectively.
I’m pretty sure it would be C
Answer:
That is 74 years.
Step-by-step explanation:
1.5% = 0.015.
The equation for the rate of growth is P = 430,000(1.015)^n where n is the number of years.
Triple the population is 430,000 * 3 = 1,290,000, so:
1,290,000 = 430,000(1.015)^n
(1.015)^n = 1290,000 / 430,000 = 3
Taking logs of both sides:
n log 1.015 = log 3
n = log 3 / log 1.015 = 73.8 years
3.5 cookies
Friend one: 3 Friend two: 3
One leftover cookie
Split in half give one to each and that makes 3.5
Use the Pythagorean Theorem.
a² + b² = c²
3² + b² = 19²
9 + b² = 361
b² = 352
b = 4√11
Now, solve for the remaining angles by using the trigonometric ratios:
Sine = opposite/hypotenuse
sin(A)= 3/19
sininverse(3/19) = 9.1 = angle A
180-9.1-90 = 80.9 = angle B
