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trapecia [35]
3 years ago
14

Order these fractions from least to greatest. 2 2 2 8' 3' 6

Mathematics
1 answer:
PIT_PIT [208]3 years ago
5 0
2/8 is the least, 2/3 is the greatest, 2/6 is the middle
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1+secA/sec A = sin^2 A / 1-cos A​
Fofino [41]

Answer:  see proof below

<u>Step-by-step explanation:</u>

\dfrac{1+\sec A}{\sec A}=\dfrac{\sin^2 A}{1-\cos A}

Use the following Identities:

sec Ф = 1/cos Ф

cos² Ф + sin² Ф = 1

<u>Proof LHS → RHS</u>

\text{LHS:}\qquad \qquad \dfrac{1+\sec A}{\sec A}

\text{Identity:}\qquad \qquad \dfrac{1+\frac{1}{\cos A}}{\frac{1}{\cos A}}

\text{Simplify:}\qquad \qquad \dfrac{\frac{\cos A+1}{\cos A}}{\frac{1}{\cos A}}\\\\\\.\qquad \qquad \qquad =\dfrac{1+\cos A}{1}

\text{Multiply:}\qquad \qquad \dfrac{1+\cos A}{1}\cdot \bigg(\dfrac{1-\cos A}{1-\cos A}\bigg)\\\\\\.\qquad \qquad \qquad =\dfrac{1-\cos^2 A}{1-\cos A}

\text{Identity:}\qquad \qquad \dfrac{\sin^2 A}{1-\cos A}

\text{LHS = RHS:}\quad \dfrac{\sin^2 A}{1-\cos A}=\dfrac{\sin^2 A}{1-\cos A}\quad \checkmark

3 0
3 years ago
Find: (4x2y3 + 2xy2 – 2y) – (–7x2y3 + 6xy2 – 2y) Place the correct coefficients in the difference.
DanielleElmas [232]

Answer: Our required answer will be

11x^2y^3-4xy^2

Step-by-step explanation:

Since we have given that

(4x^y^3+2xy^2-2y)-(-7x^2y^3+6xy^2-2y)

We need to get the difference:

1) We first open the second bracket and make appropriate change in signs :

4x^y^3+2xy^2-2y+7x^2y^3-6xy^2+2y

2) Gather the like terms together :

4x^2y^3+2xy^2-2y+7x^2y^3-6xy^2+2y\\\\=4x^2y^3+7x^2y^3+2xy^2-6xy^2-2y+2y\\\\=11x^2y^3-4xy^2

Hence, our required answer will be

11x^2y^3-4xy^2

5 0
3 years ago
Read 2 more answers
Cálculo da equação 5 (x+1)=3 (x-1)
Lana71 [14]

Answer:

x=−4

Step-by-step explanation:

5(x+1)=3(x−1)

5x+5=3(x−1)

3 0
3 years ago
If a number is NOT divisible by 4, then it is NOT divisible by 2
Vikki [24]

Answer:

false

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A theater has three eight four seats each row has 16 seats how many rows of seats are there
Fantom [35]

Answer:

24 rows

Step-by-step explanation:

348 divided by 16 is 24. Hope this helps!

6 0
3 years ago
Read 2 more answers
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