9514 1404 393
Answer:
a) NT = 8
b) RS = 8
c) RT = 16
d) ZR = 24
Step-by-step explanation:
All of the marked sides are congruent. (That's what the marks mean.) It might help you to put 8 next to each hash mark like it is on NS. So, you have ...
NT = RS = ST = TZ = NS = 8
Segments on the same line sum, so ...
RT = RS +ST = 2RS = 16
ZR = RS +ST +TZ = 3RS = 24
a) NT = 8
b) RS = 8
c) RT = 16
d) ZR = 24
Answer: sec (x)
Step-by-step explanation: sin (2x). cos(2x)
_______ -- __________
sin(x). cos(x)
23,000(1.035)^x=y
27316 or 27317 would be the population in 5 years
Answer:
twenty-three and six tenths
Step-by-step explanation:
If we translate the word problems to mathematical equation,
2x + 3y = 60
The second equation is,
P = xy³
From the first equation, we get the value of y in terms of x.
y = (60 - 2x) / 3
Then, substitute the expression of y to the second equation,
P = x (60-2x) / 3
P = (60x - 2x²) / 3 = 20x - 2x²/3
We derive the equation and equate the derivative to zero.
dP/dx = 0 = 20 - 4x/3
The value of x from the equation is 15.
Hence, the value of x for the value of the second expression to be maximum is equal to 15.