An image is translated and reflected.
Answer:
d. 463246.7
Step-by-step explanation:
V=4
/3πr^3=4/3·π·48^3≈463246.7
Answer:
15cm
Step-by-step explanation:
First, a square's diagonal is basically the hypotenuse of a 45-45-90 triangle. a 45-45-90 triangle has a really special relationship, where the side length is x, and the diagonal is x
. So, the side length is 15.
Answer:
The interest rate for the given investment is 18%.
Step-by-step explanation:
We are given that,
The function representing the investment model is,
.
It is required to find the interest rate for the investment.
Since, the function can be re-written as,

i.e. 
So, on comparing with the formula for compound interest i.e.
, where 'r' is the interest rate.
We have that,
The interest rate for the given investment is 0.18 i.e. 18%.
Answer: option d. the argument is valid by the law of detachment.
The law of detachment consists in make a conlcusion in this way:
Premise 1) a => b
Premise 2) a is true
Conclusion: Then, b is true
Note: the order of the premises 1 and 2 does not modifiy the argument.
IN this case:
Premise 1) angle > 90 => obtuse
Premise 2) angle = 102 [i.e. it is true that angle > 90]]
Conclusion: it is true that angle is obtuse