Answer:
Step-by-step explanation:
1) the triangle is a right angle triangle.
From the given right angle triangle,
With 67° as the reference angle,
x represents the adjacent side of the right angle triangle.
17 represents the opposite side of the right angle triangle.
To determine x, we would apply
the Tangent trigonometric ratio.
Tan θ = opposite side/adjacent side.
Therefore,
Tan 67 = 17/x
xTan 67 = 17
x = 17/Tan 67
x = 17/2.3559
x = 7.22
2) From the given right angle triangle, with 24° as the reference angle,
x represents the opposite side of the right angle triangle.
12 represents the adjacent side of the right angle triangle.
To determine x, we would apply
the Tangent trigonometric ratio.
Tan θ = opposite side/adjacent side.
Therefore,
Tan 24 = x/12
x = 12Tan 24
x = 12 × 0.4452
x = 5.34
Answer: the amount of interest that Alyssa will pay on her loan is $1320
Step-by-step explanation:
The formula for determining simple interest is expressed as
I = PRT/100
Where
I represents interest paid on the loan.
P represents the principal or amount taken as loan
R represents interest rate
T represents the duration of the loan in years.
From the information given,
P = $22000
R = 4.5%
T = 4 years
Therefore,
I = (22000 × 1.5 × 4)/ 100
I = 132000/100 = $1320
Answer:
4.) 12ft
Step-by-step explanation:
You solve the area of a square using the following equation:
Area of a square = <em>s</em>²
Plug in 144 for Area of a square:
144 = s²
Isolate the variable, s. Root both sides of the equation.
√144 = √s²
s = √144 = √(12 * 12) = 12
4.) 12ft is your answer.
~
Answer:
$24,000
Step-by-step explanation:
1. Find what 20% of 30,000 is.
20% x 30,000 = 6,000
2. The problem says the cost of a new car is 20% greater than a used car. Subtract the 6,000 from 30,000 to get the cost of the used car.
30,000 - 6,000 = 24,000
3. The cost of the used car is $24,000
The total length of the fencing is 248 ft; we call this the "perimeter" of the garden. Since P = 2W + 2L in general, here:
P = 248 ft = 2W + 2(W+6), or 248 ft = 4W + 12.
Subtracting 12 from both sides of this equation: 236 ft = 4W. Then W = 59 ft, which means that L = 65 ft.
