Answer:
the length of the opposite side (x), is 27.2
Step-by-step explanation:
For the given right triangle problem;
the opposite side of the given angle, opp. = 22
the hypothenuse side, hypo. = x
given angle of the triangle, θ = 54⁰
The length of the opposite side (x), is calculated as follows;
Therefore, the length of the opposite side (x), is 27.2
Answer:
Step-by-step explanation:
From the given right-angle triangle
The angle = ∠60°
-
The adjacent to the angle ∠60° is 1/2.
- The opposite to the angle ∠60° is y.
The hypotenuse = x
<u>Determining the value of x:</u>
Using the trigonometric ratio
cos 60° = adjacent / hypotenuse
substituting adjacent = 1/2 and hypotenuse = x
∵ cos (60°) = 1/2
Dividing both sides by 2
Simplify
Thus, the value of hypotenuse x is:
x = 1
<u>Determining the value of y:</u>
Using the trigonometric ratio
sin 60° = opposite / hypotenuse
As we have already determined the value of hypotenuse x = 1
substituting opposite = y and hypotenuse = 1
sin 60° = y/1
y = 1 × sin 60°
∵
Therefore, the value of y is:
Summary:
Answer:
<u>Joel will have to pay $ 159.60 for the tablet.</u>
Step-by-step explanation:
1. Information given to us to answer the question correctly:
Discount percentage of the tablets = 20%
Original cost of the tablet = $ 190
Sales tax = 5%
2. How much will Joel pay for the tablet? Show your work in your notebook. Remember to use $.
Let's find the discounted price and the sales tax for that price, this way:
Discounted price = Original price - Discount
Discounted price = 190 - (190 * 0.2)
Discounted price = 190 - 38 = 152
Sales tax of the discounted price = 152 * 0.05
Sales tax = 7.60
Joel will have to pay = Discounted price + Sales tax
Joel will have to pay = 152 + 7.60
<u>Joel will have to pay = $ 159.60</u>
14.29 * .0725 = 1.04
1.04 * 3 = 3.12