Answer:
Step-by-step explanation:
As with all word problems we first have to convert it to an equation or equations.
L = length of the Rectangle and W = its width
So L = 2 * W
A = area of the rectangle which is 128 cm^2
So A = L * W = 128 cm^2
substitute 2W for L from the 1st equation to give A = 2 * W * W = 2 * W^2 = 128 cm^2
Thus W^2 = 64 cm^2
finally W = 8 cm and therefore L = 2 * W = 16 cm
The perimeter P = 2 * (L+W) = 2* (8cm + 16cm) = 2 * 24cm = 48 cm
Answer:
The answer is b
Step-by-step explanation:
Answer: $17,000 invested in bonds and $13,000 in certificate of deposit
Step-by-step explanation: let x = amount invested in bonds
y = amount invested in certificate of deposits.
According to the question, amount invested in bonds is $4000 more than the amount invested in certificate of deposits.
x = y + $4000 — (1)
Also from the question, the total money for investment is $30,000
x + y = $30,000 — (2)
By substituting eqn (1) into eqn (2), we have
y + 4000 + y = 30, 000
2y + 4000 = 30,000
2y = 30,000 - 4000
2y = 26,000
y = $ 13,000
But x + y = 30,000 where y = 13,000
x + 13, 000 = 30,000
x = 30,000 - 13,000
x = $17,000
Hence $17, 000 is invested in Bonds and $13, 000 in certificate of deposit
Answer:
C: The area of ABC is 1 square unit greater than the
area of ADEF
Step-by-step explanation:
Due to the area of triangle ABC and triangle DEF, the ABC triangle has dimensions that are 1 square unit greater that the area of ADEF. This is because the lines have different lengths. Good Luck on the Rest of Your Questions!!