How many times does 7 go into 40

Mathematics

2 answers:

Aliun [14]4 years ago

8 0

Answer:57.1

If that helps you

Step-by-step explanation:

Yuki888 [10]4 years ago

6 0

Answer:

7 cant go into 40 evenly, it would be 5.7 times if we were just to do 40 divided by 7 . . . .

so i guess (even though its not a even number ) your answer is 5.7

40/7 = 5.71

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A radio station requires DJs to play 3 commercials for every 18 songs they play. What is the unit rate of songs to commercials?

bulgar [2K]

6 songs

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Hope this was helpful and that I explained it correctly.

3 0

3 years ago

1+secA/sec A = sin^2 A / 1-cos A

Fofino [41]

Answer: see proof below

Step-by-step explanation:

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

Use the following Identities:

sec Ф = 1/cos Ф

cos² Ф + sin² Ф = 1

Proof LHS → RHS

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

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

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

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