Please help and give explanation
1 answer:
The percent of discount on the backpack was 42.30%.
Step-by-step explanation:
Step 1:
From the given data, the original cost was $52 and it decreased to $30 due to a discount.
First, we need to determine the difference in values between the original price and the discounted price.
The difference between the prices
Step 2:
The percent decrease is given by dividing the difference in values by the original value multiplied by 100.
Percent decrease
Percent decrease
So there was a 42.30% discount on the backpack.
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Answer:
cos(θ) = 3/5
Step-by-step explanation:
We can think of this situation as a triangle rectangle (you can see it in the image below).
Here, we have a triangle rectangle with an angle θ, such that the adjacent cathetus to θ is 3 units long, and the cathetus opposite to θ is 4 units long.
Here we want to find cos(θ).
You should remember:
cos(θ) = (adjacent cathetus)/(hypotenuse)
We already know that the adjacent cathetus is equal to 3.
And for the hypotenuse, we can use the Pythagorean's theorem, which says that the sum of the squares of the cathetus is equal to the square of the hypotenuse, this is:
3^2 + 4^2 = H^2
We can solve this for H, to get:
H = √( 3^2 + 4^2) = √(9 + 16) = √25 = 5
The hypotenuse is 5 units long.
Then we have:
cos(θ) = (adjacent cathetus)/(hypotenuse)
cos(θ) = 3/5
