The answer to number 23 is D, 49.
To find Angle A we use cosine
cos ∅ = adjacent / hypotenuse
From the question
The adjacent is 17
The hypotenuse is 38
So we have
cos A = 17/38
A = cos-¹ 17/38
A = 63.4
<h3>A = 63° to the nearest degree</h3>
To find Angle C we use sine
sin ∅ = opposite / hypotenuse
From the question
The opposite is 17
The hypotenuse is 38
So we have
sin C = 17/38
C = sin-¹ 17/38
C = 26.57
<h3>C = 27° to the nearest degree</h3>
Hope this helps you
If the number of hours in school each week is somewhere between 20 and 40, then it can be written in scientific notation as
2.0×10¹ to 4.0×10¹
The exponent of 10 in each case is 1, so we can say the Order of Magnitude is 1.
TRUE
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In Engineering terms, the order of magnitude is sometimes considered to be the integer part of the base-10 logarithm of the number.
log(20) ≈ 1.3010
log(40) ≈ 1.6021
If we round these numbers to integers, we find the order of magnitude of the first is 1; the order of magnitude of the second is 2. Thus a student who spends 6 hours per day for 5 weekdays in class will have hours with an order of magnitude of 1, while a student who spends 7 hours per day for 5 days each week will have hours with an order of magnitude of 2. This question is best answered by considering "order of magnitude" in the simplistic terms of the answer above: the exponent of 10 in scientific notation.
The answers are:
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[B]: "√12 " ; AND:
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[D]: "<span>√20" .
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Note: "Irrational numbers" have decimals that are: 1) non-terminating; AND: 2) non-repeating.
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Consider the answer choices given; and consider the given information that there "should be no more than one answer.
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Consider the following answer choices:
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Choice A) "</span><span>√9" = 3 . Rule out this choice.
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Choice C) "</span><span>√16" = 4 . Rule out this choice.
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Choice E) "</span><span>√25" = 5. Rule out this choice.
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We are left with 2 (two) remaining answer choices:
[B]: "</span>√12" ; and: [D]: "<span>√20" .
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If there are more than one answer, then these two choices should be the correct answer. However, let us explore these two choices, using a calculator.
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[B]: </span>"√12" = 3.4641016151377546
[D]: "√20" = 4.4721359549995794
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These two answer choices should the correct answers.
Answer:
blank 1: divisibility rules
blank 2: its last digit is 0 or 5
