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3 years ago

How many license plates can be made with 3 letters and 2 numbers?

Mathematics

2 answers:

Dmitriy789 [7]3 years ago

8 0

120 license plates can be made with 3 letters and 2 numbers.

ICE Princess25 [194]3 years ago

5 0

Answer: 1757600 license plates

Explanation: Since there are 26 different letters in the alphabet, A through Z, there are 26 options for the first letter, 26 options for the second letter, and 36 options for the third letter.

Since there are 10 different numbers, 0 through 9, there are 10 options for the first number and 10 options for the second number.

Now to determine how many license plates that can be created that contain 3 letters and 2 numbers, we use the fundamental counting principle which tells us that we multiply 26 x 26 x 26 x 10 x 10 to get 1757600 different license plates.

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A ladder is placed 30 inches from a wall. It touches the wall at a height of 50 inches from the ground.

tankabanditka [31]

To find the length of the ladder, you need to do Pythagorean theorem.
50^2 + 30^2 = x^2
2500 + 900 = x^2
x^2 =3400
x= square root of 3400
58.31 OR 10 root34

To find the angle:
tan theta = opposite/adjacent
50/30 = 5/3
theta = tan inverse of 5/3
= 59.04

8 0

4 years ago

How many different 4-digit PIN codes are there that only include the digits 5, 9, 6 and 2?

denis23 [38]

Answer:

256

Step-by-step explanation:

The digits can only be one of four numbers.

4*4*4*4 = 4^4 = 256

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3 years ago

the average annual cost of heating a home woth solar energy is $200 with an inital cost of $9000. During the month of may, the s

Leona [35]

Answer: Discounted function will be

$C(x)=6750+150t$

Step-by-step explanation:

Since we have given that

Initial cost of solar energy = $9000

Average annual cost of heating a home with solar energy = $200

Rate of discount he received on the total cost = 25%

Let the number of year will be t

According to question, we need to write a discounted cost as a function of number of years.

So, our function becomes,

$C(x)=\frac{100-25}{100}(9000+200t)\\\\C(x)=\frac{75}{100}(9000+200t)\\\\C(x)=0.75(9000+200t)\\\\C(x)=9000\times 0.75+200\times 0.75t\\\\C(x)=6750+150t$

Hence, discounted function will be

$C(x)=6750+150t$

8 0

4 years ago

Topic: Finite Geometric Sums <br> what is the value of ..

Juli2301 [7.4K]

For i=1 ===> Sum=4

for i=2===> Sum=2

for I=3===> Sum=1

Hence the answer is 7

Or you could have use the Sum formula of a GP:

Sum = a(1-r)^n/(1-r), with a=1, r=1/2 & n=3

6 0

3 years ago

Please help me!! Will give brainlyist

prohojiy [21]

Answer: We cannot see the picture, can you use it as a different file.

5 0

3 years ago