Answer:
Scale factor = 1.5
Step-by-step explanation:
Formula for the scale factor,
Scale factor =
In this question, image is triangle Y and preimage is triangle X.
Scale factor of X to Y =
= 1.5
Therefore, scale factor = 1.5 is the answer.
Area of triangle=1/2 times base times height
height=3 times base
h=3b
so
area=54
54=1/2bh
subsittue 3b for h
54=1/2b(3b)
54=(3/2)(b²)
times both sides by 2/3
36=b²
sqrt both sides
6=b
sub back
h=3b
h=3(6)
h=18
the heigh is 18cm
Answer:
Step-by-step explanation:
40,000= x (1+ .04)^12
the future value of the account =40,000
the amount invested at the end of each period =x because we do not know
the interest rate per period = 0.04 because 8% compounded semiannually is 4% per 6 months or written as decimals 0.04
(1+.04) because you gain interest so you add to the 100% of your money 4%
the number of periods = 12 because in 6 years we have twelve 6 months periods
x= $24,983.88
Answer:
Both equations cancel each other out
Step-by-step explanation:
18x + 15 - y = 0
5y = 90x + 12
You want to use the substitution method for this system of equations because the y can easily be isolated in the first equation. Just add y to both sides so that the y variable is isolated. You will have y = 18x + 15. Substitute that equation into the second equation and solve for x. So you will have 5(18x + 15) = 90x + 12.
Use the Distributive Property to get rid of the parenthesis.
90x + 75 = 90x + 12. Subtract 90x from both sides. There is no value for x as the 90x's cancel each other out. And we all know that 75 does not equal 12
Answer: The air temperature increases about 10 degrees C for every 1000-meter increase of altitude.
Step-by-step explanation:
Ur welcome :)