1 ton = 2,000 pounds
3 tons = $3,840
2,000 lbs = $3,840
Divide by 2,000
1 lbs = $1.92
The price per pound is $1.92
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:
Volume = 175 cm³
Step-by-step explanation:
We can picture this image as a whole rectangular prism, with a part that has been cut out of it.
Step 1: Volume of original prism
We are going to solve the volume of the original prism, with the dimensions of 9, 7, and 5
Step 2: Volume of part cut out
We are solving the volume of that part that has been cut out ( missing space)
- V = 5 * (9-2) * (7-3)
- V = 5 * 7 * 4
- V = 140
Step 3: Total Volume
Now we just subtract the cutout part from the original volume
Volume = 175 cm³
Note, we could have also found the volume by splitting this shape into two prisms with dimensions (9 * 3 * 5) and (4 * 5 * 2). This way would also get us:
- V = (9 * 3 * 5) + (4 * 5 * 2)
- V = 135 + 40
- V = 175
-Chetan K
Answer:
y ≈ 16.33
Step-by-step explanation:
∆SPQ is a 30-60-90 right triangle
PS:QS:PQ = 1:2:√3
QS/PQ = 2/√3
QS/PQ = QS/10
QS/10 = 2/√3 Multiply each side by 10
QS = 20/√3
∆RSQ is a 45-45-90 right triangle.
∴ RS = QS = 20/√3
RS² + QS² = QR²
(20/√3)² + (20/√3)² = y²
400/3 + 400/3 = y²
800/3 = y² Take the square root of each side
y = √(800/3)
= 20√(2/3)
= (20√6)/3
≈ 16.33
