Answer:
P=163,487,500
Step-by-step explanation: P=Ae^(kt)
151000000=145000000*e^(k5)
151000000/14500000=e^(k5)
1.04137931=e^(k5)
Ln 1.04=Ln e^(k5)
0.04=k5
k= 0.008
P=145,000,000*e^(.008*15)
P=145,000,000*e^0.12
e=2.71828
P=145,000,000*1.12749685
p=163,487,500
Step-by-step explanation:
h = height of rectangle (should be "length", but ok)
w = width of rectangle
w = h + 97
the diagonal of the rectangle is the Hypotenuse (baseline) of a right-angled triangle with the legs being one height and one width side of the rectangle.
so, we use Pythagoras
c² = a² + b²
with c being the Hypotenuse (the side opposite of the 90° angle).
diagonal² = h² + (h + 97)² = h² + h² + 2×97h + 97²
113² = 12769 = 2h² + 194h + 9409
3360 = 2h² + 194h
1680 = h² + 97h = (h + 97/2)² - 9409/4
(completing the square)
6720/4 + 9409/4 = (h + 97/2)²
16129/4 = (h + 97/2)²
127/2 = h + 97/2
30/2 = h = 15
the height is 15.0 in
<u>Answer:</u>
<u>Step-by-step explanation:</u>
<u>Let's find 'a' using Pythagoras theorem.</u>
- => 4² = 2² + a²
- => 16 = 4 + a²
- => 12 = a²
- => a = √12
- => a = √2 x 2 x 3
- => a = 2√3
- => a = 2 x √3
- => a = 2 x 1.732
- => a = 3.464 = 3.5 (Estimated)
Hoped this helped.
Answer:
<h2>your answer is like this</h2>
Step-by-step explanation:
<h2>a)16. d)-2</h2><h2>an=a+(n-1)d</h2><h2>a76=16+(76-1)-2</h2><h2>=16-150</h2><h2>=-136</h2>
