Answer:
x = 9
y = 9√3 = 15.6
Step-by-step explanation:
The triangle given is a right triangle, therefore:
✔️apply trigonometric ratio formula to find x:
Reference angle = 60°
Hypotenuse = 18
Adjacent = x
Thus:
Cos (60) = x/18
Multiply both sides by 18
18×cos(60) = x
9 = x
x = 9
✔️find y by applying pythagorean theorem:
y² = 18² - x² (pythagorean theorem)
y² = 18² - 9² (substitution)
y² = 243
y = √243
y = √(81*3)
y = 9√3 = 15.6
Answer:
Step-by-step explanation: for #1 its 6
for #2 it 12
#3 is 818
#4 is 423
#5 is 87
#6 is 500
hope this helped!
Answer:
Sedan: 4 passengers
Minivan: 6 passengers
Step-by-step explanation:
We can write the following system of equations:
, where
represents the number of people a sedan can seat and
represents the number of people a minivan can seat.
Subtracting the first equation from the second, we have:

Now plug in
in any of the equations to solve for
:

Verify that the solution pair
works:

Therefore, a sedan can hold 4 passengers and a minivan can hold 6 passengers.
Answer:
A
Step-by-step explanation:
Since the the value is greater than 1, f(x),g(x), and h(x) are exponential functions.
B. 19.8
Use the Pythagorean theorem:
14.2^ + x^ = 24.4^
201.64 + x^ = 595.36
x^ = 393.72
x = 19.84