A/4 - 5/6 = 1/2 a/4 - 5/6 = 1/2 help

Mathematics

1 answer:

alexgriva [62]2 years ago

8 0

Answer:

a = 16/3 or 5 1/3 or 5.33...

Step-by-step explanation:

to find a you must first make all of the denominators the same

you must find 4 6 and 2s CGF

and that is 12

so multiply a/4 by 3/3 and get 3a/12

then multiply 5/6 by 2/2 and get 10/12

and lastly multiply 1/2 by 6/6 and get 6/12

at this point you can set the equation up like this

3a/12 - 10/12 = 6/12

but then you can multiply everything by 12

3a - 10 = 6

and then solve

add 10 to both sides

3a = 16

then divide 3 on each side

a = 16/3 or 5 1/3 or 5.33...

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Zach wants to build a slanted skateboard ramp. He knows he wants the ramp to form a 15 degrees angle with the ground and be 4 fe

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Step-by-step explanation: Please refer to the attached diagram for details.

Angle C shows the angle to be formed by the ramp from the ground, which is 15 degrees. Also, from the ground, it’s going to be four feet tall, which is line AB. The top of the ramp is point A, which makes line AC the entire length of the ramp. Since we have a reference angle (angle C) and two sides, the opposite and the hypotenuse, we shall apply the trigonometric ratio.

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Therefore the length of the ramp would be 15.5 feet