Answer:
x = 16.6
Step-by-step explanation:
Since we know the measure of an acute angle (31 degrees) of a right angle triangle, and of the side opposite to the angle (10), and we need to find the measure of the adjacent side "x", we use the tangent function:

which rounded to one decimal is
x = 16.6
The price per foot would be .84 cents, 1 yard equals 3 feet so 2 yards is 6 feet. if you take $5.04 and divide it by 6 then you get 0.84
Here are the answers for the HW:
Answer:

Step-by-step explanation:
Let b be the number of balloons and h be number of party hats.
We have been given that balloons cost $0.50 each, so cost of b balloons will be 0.50b.
We are also told that party hats each cost $1.25, so cost of h party hats will be 1.25h.
Further, Joe wants to spend exactly $20 on the party supplies. We can represent this information in an equation as:

Therefore, the equation
represents the number of balloons ( b) and the number of party hats ( h) that Joe can buy spending exactly $20.
Answer:
Step-by-step explanation:
The formula for determining the length of an arc is expressed as
Length of arc = θ/360 × 2πr
Where
θ is the central angle formed at the center of the circle.
r represents the radius of the circle.
π represents a constant whose value is 3.14
From the information given,
r = 21 inches
θ = 25 degrees
Length of arc formed = 25/360 × 2 × 3.14 × 21 = 9.2 inches,