Answer:
A =72 in^2
When dilated
=1152 in ^2
Step-by-step explanation:
The area of the triangle is
A = 1/2 bh
We need to convert the units to match
2 ft= 24 inches
A = 1/2 ( 24*6)
A = 1/2 (144)
A =72 in^2
When dilated 6 inches *4 = 24 inches
24 inches *4 = 96 inches
A = 1/2 ( 96*24)
= 1/2(2304)
=1152 in ^2
Answer:
28+47x
Step-by-step explanation:
distribute the 8 throughout the 3+5x
this leaves you with
24+40x+7x+4
combine your like terms
28+47x
It says that the amount of lemonade is equally spread among six glasses, right?
So, you just have to take the total amount of lemonade (2/3 quart) and divide it by how many glasses you need to fill (6).
2/3 divided by 6 = 0.11111111111111111111111111111111111111111111111 quarts.
Your final answer is that each cup will be filled with 0.1 (repeating) quarts of lemonade. In fractional form, you could say that each cup will be filled with 1/9 quarts of lemonade.
Answer:
49x²-16 = (7x - 4)(7x + 4)
Step-by-step explanation:
Your "49×2-16" is incorrect; did you mean "49x^2-16" or "49x²-16?"
This last expression is the difference of two squares.
The formula for that is a² - b² = (a - b)(a + b), and so your 49x²-16 factors as follows:
49x²-16 = (7x - 4)(7x + 4)
Answer:
Step-by-step explanation:
From the given information;
The null and alternative hypothesis is:
sample mean x = -2
population mean = 0
SD = 6
sample size n = 25
Using t-test statistics:
t = -1.667
P-value = P(t ≤ -1.667) + P(t ≥ 1.667)
P-value = 0.1086
Since P-value is greater than , we fail to reject .