Answer:
42 square centimeters
Step-by-step explanation:
The total of sides FA and AB will be half the perimeter of the rectangle, or 14 cm. Since AB is 9 cm, that means FA is 5 cm.
EF is the difference between EF and FA, so is 11 cm -5 cm = 6 cm.
FC is the same 9 cm length as AB, so we have enough information about the trapezoid to use the area formula:
A = (1/2)(b1 +b2)h
A = (1/2)(9 cm +5 cm)(6 cm) = 42 cm^2
The area of the trapezium is 42 cm^2.
Answer:
x^2 +3x +3
Step-by-step explanation:
(9x^2+3x+6)–(8x^2+3)
Distribute the negative sign
(9x^2+3x+6)–8x^2-3
Combine like terms
9x^2–8x^2+3x+6–8x^2-3
x^2 +3x +3
We know that the perimeter of a rectangle is 2(width)+2(length). We can multiply the length by 2 to find out how much remaining fencing we have, then divide that number by 2 to find the width.
15.5*2=31
170.5-31=139.5
139.5/2=69.75
A possible width is 69.75 feet.
Answer:
Step-by-step explanation:
The formula for the total accrued amount is
A = P(1 + rt)
Data:
P = $500
r = 6.5 % = 0.065
t = 30 mo
Calculations:
(a) Convert months to years
t = 30 mo × (1 yr/12 mo) = 2.5 yr
(b) Calculate the accrued amount
A = 500(1 + 0.065 × 2.5)
= 500(1 + 0.1625)
= 500 × 1.1625
= 581.25
(c) Calculate the accumulated interest
Answer:
x=-3
Step-by-step explanation:
-2x2=-4
-4-16x-44=0
combine like terms (-4,-16)
-48-16x=0
move the 16x to the other side of the equal sign (add 16 since its -)
-48=16x
you need x alone so you need to divide by 16
-3=x
