Julian forgot his bat when he left for baseball camp. His mother finds a box to ship it to him with the dimensions shown. If the
bat measures 34 inches long, will the bat fit inside the box? Drag words to complete the statements about the diagonal of the base and the interior diagonal of the box. Words may be used once, more than once, or not at all.
1 answer:
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Answer:
The correct answer is: "Option [D]".
Step-by-step explanation:
Hi student, let me help you out!
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Let's use the acronym PEMDAS. With the help of this little acronym, we will not make mistakes in the Order of Operations! :)
P=Parentheses,
E=Exponents,
M=Multiplication,
D=Division,
A=Addition,
S=Subtraction.
Now let's start evaluating our expression, which is
According to PEMDAS, the operation that we should perform is "E-Exponents".
Notice that we have a fraction raised to a power. When this happens, we raise both the numerator (2 in this case) and the denominator (3 in this case) to that power, which is 2. After this we obtain .
See, we raised both the numerator and the denominator to the power of 2.
Now what we should do is subtract fractions.
Note that 6 and -4/9 have unlike denominators. First, let's write 6 as a fraction: . Now let's multiply the denominator and the numerator of the first fraction times 9:
.
See, now the fractions have the same denominator. All we should do now is subtract the numerators: .
∴, the answer is Option D.
Hope this helped you out, ask in comments if any queries arise.
Best Wishes!