*See attachment for the diagram
Answer:
Tan 60 = √3
Step-by-step explanation:
Recall: SOHCAHTOA
Thus,
Tan 60 = Opp/Hyp
From the diagram given,
Opp = YZ = ?
Hypotenuse = XY = 42
Find the length of YZ using Pythagorean Theorem:
YZ = √(42² - 21²) = √1,323
YZ = √(441 × 3) = 21√3
✔️Find Tan(60):
Tan 60 = Opp/Hyp = YZ/XY
Tan 60 = (21√3)/21
Tan 60 = √3
64x2.40 = 153.6
64x1.90 = 121.6
add 153.6 to 121.6
275.2
Answer:

Step-by-step explanation:
SOLVE BY SUBSTITUTION:
STEP 1: Replace all occurrences of
with
in each equation.

STEP 2: Solve for
in the first equation.

STEP 3: Replace all occurrences of
with
in each equation.

Using the fundamental counting theorem, it is found that 17,576,000 different license plates can be manufactured.
Fundamental counting theorem:
States that if there are n things, each with
ways to be done, each thing independent of the other, the number of ways they can be done is:
In this problem:
- Since repetition is allowed, for the 3 letters, there are 26 outcomes, hence
.
- For the 3 numbers, there are 10 outcomes, hence

Then:

17,576,000 different license plates can be manufactured.
To learn more about the fundamental counting theorem, you can take a look at brainly.com/question/24314866