Compare simplifying before multiplying fractions with simplifying after multiplying the fractions
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Answer:
We can compare this using example:
Suppose the two fractions are and
When we simplify before multiplying:
(dividing both numerator and denominator by 5) in simplified form becomes
Similarly becomes
Now multiplying:
=
When we simplify after multiplying:
=
Now simplifying this:
Dividing both numerator and denominator by 10; we get
Now dividing by 2:
Now dividing by 3:
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Now, we can see and compare that when we multiply after simplifying, the result is simplified and calculation is easier.
When we do not simplify and multiply at first, the results are bigger numbers and it is difficult to simplify bigger numbers.
a denominator gets simplified, we will cross it out with a slash and write the new
numerator or denominator next to it (either above it or below it).The number you divide by (the 4) does not get indicated in any way! You only
think about it in your mind: “I divide 12 by 4, and get 3. I divide 20 by 4, and get 5.”You may not see any advantage over the “old” method yet, but this shortcut will
come in handy soon.
Related Questions
What does it mean for two fractions to be equivalent? For two ratios to be equivalent?
tell whether the quotient is greater than or less than divided when you divide a whole number by a fraction explain your reason
Use the distributive property to simplify (100+4z)20Show your work and show each step.
What is one tenth of 80
X*-6x-7=0
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B) the measure of the supplementary angle of an interior angle is
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Answer:
A) Each interior angle of the Regular Hexagon = 120°
B)The measure of the supplementary angle of an interior angle is 60°
Step-by-step explanation:
Regular Hexagon : A 6 sided polygon which has all 6 interior angles as EQUAL is called a regular hexagon.
So, here are 6 interior angles of the hexagon are equal.
Also, Sum of all interior angles of an hexagon = 720°
Let us assume the each angle of the hexagon = m
⇒ m + m + m + m + m + m = 720°
or, 6 m = 720°
or, m = 720° / 6 = 120°
⇒ Each interior angle of the Regular Hexagon = 120°
Now, a side is extended to form an exterior angle.
Let us assume the measure of that exterior angle = k
⇒ k + m = 180 ° ( as k and m are SUPPLEMENTARY ANGLES)
or, k = 180 - 120 = 60 °
or, k = 60 °
Hence, the measure of the supplementary angle of an interior angle is 60°
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3000 times 2 = 6000
6000 times 2 = 12000
12000 times 2 = 24000
24000 times 2 = 48000
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Step-by-step explanation:
x² - 2 = 2^(2/3) + 2^(-2/3)
x² = 2^(2/3) + 2 + 2^(-2/3)
x² = (2^(1/3))² + 2 × 2^(1/3) × 2^(-1/3) +
(2^(-1/3))² (It is in the form of a²+2ab+b²)
x² = (2^(1/3) + 2^(-1/3))²
x = 2^(1/3) + 2^(-1/3)
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Answer:
Step-by-step explanation:
Always use PEMDAS.
3³ = 27
30 ÷ 5 = 6
15 x 6 = 90
90 + 27 = 117
A
tan A
B. Ocos A
C.
cos B
D
tan B
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Final answer:
In a right triangle, sin A equals cos B because A and B are complementary angles. Sin A cannot equal tan A, tan B, or cos A.
Explanation:
In a right triangle, the sine of an angle is defined as the length of the opposite side over the length of the hypotenuse. Therefore, sin A cannot be equivalent to tan A or tan B because tangent of an angle is the ratio of the opposite side to the adjacent side. The sine of angle A is not related to cos A because cosine of an angle is the length of the adjacent side over the length of the hypotenuse.
However, it's relevant to note that in a right triangle, the sine of an angle is equal to the cosine of its complementary angle. Since A and B are complementary angles in a right triangle (sum up to 90 degrees), it means that sin A equals cos B. So, the correct answer is C: cos B.
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