Answer:
Length = 13
x = 80
Step-by-step explanation:
Question One
Let the width = x
Let the length = x + 5
Area = 104
<u>Equation</u>
Area = L * W
Area = (x+5)*x
<u>Solution</u>
x ( x + 5) = 104 Remove the brackets
x^2 + 5x = 104 Subtract 104 from both sides.
x^2 + 5x - 104 = 104 - 104
x^2 + 5x - 104 = 0 Factor the equation
(x + 13)(x - 8) = 0
Only x - 8 = 0 works
x = 8
The width = 8
The Length = 8 + 5 = 13
Question Two
Draw AP
<BAP = 20o The triangle (APB) is isosceles: 2 sides are radii
<BPA = 180 - 20 - 20 The three angles of a triangle = 180
<BPA = 140 Combine
Similarly <CAP = 140 Go through exactly the same steps.
<BPA + <CAP + X = 360 The total of the 3 angles in the center = 360
140 + 140 + X = 360 Combine
280 + X = 360 Subtract 280 from both sides.
x = 80
He can buy 5 of the $3 nut and 1 of the $5 nuts.
5x3=15
5x1=5
15+5=20 and that’s less than 24.
So Jim can use $20 to buy the $3 one 5 times and the $5 one 1 time.
Answer:
-11/12
Step-by-step explanation:
Change : hours
-2.75 : 1
X : ⅓
X = -2.75 × ⅓
X = -11/12 or -0.917
Future value = Present value * (rate of interest per period)^number of periods
F(t) = 1200*(1.05)^2000
= 1200*2.3911*10^42
= 2.8693*10^45