2 years ago

Problem page the sum of two numbers is 56 . the smaller number is 16 less than the larger number. what are the numbers?

1 answer:

8 0

Create equations using the given information
1) x+y=56
2) y=x-16
Substitute the value of y into the 1st equation and simplify
1)x+x-16=56
2x=72
x=36
Substitute the value of x into the 1st equation and simplify
1)x+y=56
36+y=56
y=20

Answer: 20 and 36

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Find the ratio of the trig function indicated.

Andrew [12]

Answer:

$\huge\boxed{\bf\:Ratio = 4:5}$

Step-by-step explanation:

We have a right angled triangle given.

At first, let's note that, sin θ = oppposite side of the triangle / hypotenuse of the triangle.

Now, in the given triangle, from the view of ∠θ,

Opposite side of the triangle = 8
Hypotenuse = 10

Then,

$\sin \theta = \mathrm{\frac{opposite \: side}{hypotenuse}}\\\sin\theta = \frac{8}{10}\\\sin\theta = \frac{4}{5}\\\\\\\Longrightarrow \boxed{\mathrm{Ratio = 4:5}}$