R+b=7 3.75r+2.75b=22.25

Mathematics

1 answer:

stiv31 [10]3 years ago

6 0

Answer:

Step-by-step explanation:

hello :

r+b=7... (*)

3.75r+2.75b=22.25.... (**)

use (*) : r = 7 - b

put this value in (**) :

3.75(7 - b)+2.75b = 22.25

26.25 -375b +2.75b = 22.5

-375b +2.75b = 22.5 - 26.25

- b = -3.75

so : b = 3.75

but : r = 7 - b

r = 7 - 3.75

r = 3.25

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Use the acronym SOHCAHTOA to figure out which of those three functions to use. Feel free to look this up for more information if you haven't heard of it before. In this case, we're using Tangent (TOA = Tangent, Opposite side, Adjacent side)

To solve using any of those three functions, you'll need a scientific calculator. On your calculator, you'll see the buttons SIN, COS, andTAN. For this problem, press TAN and you'll see something appear that says tan (___). You'll need to input a number to get your answer, and here's how to find that number:

Again referencing SOHCAHTOA, the "TOA" part lists Opposite first and then Adjacent. This is because you're going to write a fraction with those two numbers, and since Opposite is first, it's the numerator. That means that Adjacent is the denominator. We don't know the value of the opposite side, so it'll be represented by x, and we do know the value of the adjacent side, 41.5. This means the fraction is $\frac{x}{41.5}$ .