Answer:
x = 27/10 or x = 2.7
Step-by-step explanation:
Step 1: Get rid of the denominator.
LCD of 4 & 3: 12
Multiply both sides by 12.
12 ( 2x - 1 / 4 ) + 12 ( x / 3 ) = 12 (2)
Reduce the numbers.
3 ( 2x - 1) + 4x = 24
Step 2: Distribute.
6x - 3 + 4x = 24
Step 3: Collect like terms.
6x + 4x = 24 + 3 ( - 3, the sign change when moved to the other side)
10x = 27
Step 4: Solve for x.
Multiply both sides by 10.
10x / 10 = 27 / 10 (the 10 cancels out)
x = 27 / 10 or x = 2.7
Answer: x = 27 / 10 or x = 2.7
Step-by-step explanation:
cos θ = 3 / AB
When θ = 28°:
cos 28° = 3 / AB
AB = 3 / cos 28°
AB ≈ 3.4
When AB = 5.2:
cos θ = 3 / 5.2
θ = cos⁻¹(3 / 5.2)
θ ≈ 54.8°
The is the answer on my paper:
<span>f(x) = 1.5 x (1 - x)
f(0.8) = 1.5(0.8)(1 - 0.8) = 0.24
f(0.24) = 1.5(0.24)(1 - 0.24) ~= 0.274
f(0.274) = 1.5(0.274)(1 - 0.274) ~= 0.298
f(0.298) = 1.5(0.298)(1 - 0.298) ~= 0.314
f(0.314) = 1.5(0.314)(1 - 0.314) ~= 0.323
</span>So the answer is D : 0.24, 0.274, 0.298, 0.314, 0.323
Answer:
1. 24 cubic units
2. 180 cubic units
3. 1/16 cubic units
Step-by-step explanation:
<u>Question 1</u>
Volume of a rectangular prism = width × length × height
= 3 × 4 × 2
= 12 × 2
= 24 cubic units
<u />
<u>Question 2</u>
Volume of a rectangular prism = width × length × height
= 5 × 12 × 3
= 60 × 3
= 180 cubic units
<u>Question 3</u>
Volume of a rectangular prism = width × length × height
= 1/4 × 1/2 × 1/2
= 1/8 × 1/2
= 1/16 cubic units
