1 inch = 2.54 cm
27 feet 10 inches = 27 * 12 + 10 = 334 inches.
334 inches = 334 inches * 2.54 cm / inch = 848.36 cm
1 meter = 100 cm
x = 848.36 cm
Cross multiply
848.36 cm * 1 meter = 100 cm * x Divide both sides by 100
848.36 cm* meter/ 100 cm = x
8.48 meter = x
Answer 8.48 meters.
The perimeter is the sum of the enclosing side.
From the figure, the perimeter is
P = 11 + (x-2) + (11-3) + [(x-2) - (x-11)] + (x-11)
= 11 + x - 2 + 8 + 9 + x - 11
= 2x + 15
Answer: 2x + 15
To get the points at which the two boats meet we need to find the equations that model their movement:
Boat A:
vertex form of the equation is given by:
f(x)=a(x-h)^2+k
where:
(h,k) is the vertex, thus plugging our values we shall have:
f(x)=a(x-0)^2+5
f(x)=ax^2+5
when x=-10, y=0 thus
0=100a+5
a=-1/20
thus the equation is:
f(x)=-1/20x^2+5
Boat B
slope=(4-0)/(10+10)=4/20=1/5
thus the equation is:
1/5(x-10)=y-4
y=1/5x+2
thus the points where they met will be at:
1/5x+2=-1/20x^2+5
solving for x we get:
x=-10 or x=6
when x=-10, y=0
when x=6, y=3.2
Answer is (6,3.2)
Darryl:
Answer:
A = $1,905.00
(I = A - P = $405.00)
Equation:
A = P(1 + rt)
Lori:
Answer:
A = $1,932.00
(I = A - P = $532.00)
Equation:
A = P(1 + rt)
Thus $532-$405= $127 more in Lori's account
