Tobias’s closet has 1 red hat and 1 black hat; 1 white shirt, 1 black shirt, and 1 black-and-white-striped shirt; and 1 pair of
black pants and 1 pair of blue pants. He is picking an outfit by reaching into his closet and randomly choosing a hat, a shirt, and a pair of pants. How many possible outfit combinations are there?
2 answers:
Answer:
There are total 12 outfit combinations.
Step-by-step explanation:
Number of hat are: 2
1 red hat and 1 black hat
Number of shirt are: 3
1 white shirt , 1 black shirt , 1 black-and-white striped shirt.
Number of pants are: 2
1 black and 1 blue
Now, the total number of combinations could be seen with the help of a tree diagram.
We observe that total 12 combinations are possible.
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Answer:
see below
Step-by-step explanation:
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ie. question 6
log ₁₀(3x+1) = 2 ----->
that will get you through questions 1 to 3, 5 to 6, and 8
in question 4, all you have to do is know that 2^2 = 4 and 2^3 = 8, by setting the bases equal, you can manipulate the exponents to get 2x+8 = 3x-3
for questions 7 and 9,
remember that:
logₐc + logₐd = logₐ(cd)
logₐc - logₐd = logₐ()
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Answer:
The side of the square is 5.971 cm
Step-by-step explanation:
If the square fits the circle exactly, then its diagonal is equal to the diameter of the circle. Since the side of the square has a length of cm, then it's diagonal have the length of
cm. Using the circle's area we can find the diagonal of the square, as shown below:
Since the diameter of the circle is the same as the diagonal of the square, then:
The side of the square is 5.971 cm