Answer:
281 ft²
Step-by-step explanation:
Cuboid + lateral surface area of the pyramid - square base
2[(4×12)+(4×5)+(12×5)] + 4[½×5×(12-7)] - 5²
2(48+20+60) + 4(12.5) - 25
2(128) + 50 - 25
256 + 25
281 ft²
I hope this helps you
formula m. (x'-x)=y'-y
(-3,-4) x'=-3 y'=-4 m=0
0. (-3-x)=-4-y
0=-4-y
y=-4
Using proportions, it is found that the number of books that was left over was of 505.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The number of books received by Marie is given by:
M = 772 - 345 = 427.
Melanie received one-sixth of Marie, hence:
Me = 427/6 = 71.
The total amount is 25 times Melanie's amount, hence:
T = 25 x 71 = 1775.
The amount left over is:
L = 1775 - (772 + 427 + 71) = 505
More can be learned about proportions at brainly.com/question/24372153
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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
Answer:
Ox+y+z=180
Step-by-step explanation: