2x+3(3x-10)=14
2x+9x-30=14
11x=44
x=4
y=3(4)-10
y=2
A rectangular prism is a polyhedron with six rectangular faces. To fully define a rectangular prism, one must know its length, width and height. The volume of a rectangular prism is expressed as the product of its dimensions - length, width and height. To calculate for its width, we use the volume formula.
V = l x w x h
From the given, we have:
l = 3w
h = 2 + w
V = 135 ft^3
Substituting the given expressions,
135 ft^3 = 3w (w) (2+w)
135 ft^3 = 6w^2 + 3w^3
Solving for w, we obtain the following values:
w1= 3
w2 = 2.5 + 2.96i
w3 = 2.5 - 22.96i
Since width should not have a negative value, the value of w should be 3 ft.
Answer:
<NBE = 120°
Step-by-step explanation:
From the above attachment,
<KMB = 30°
<KBT = 90° (perpendicular angles are equal to 90°)
<MBE = x
<KMB + <KBT + <MBE = 180° (angles on a straight line are equal to 180°)
30° + 90° + <MBE = 180°
120° + <MBE = 180°
Solve for <MBE
<MBE = 180° - 120°
<MBE = 60°
<MBE = <TBN (vertical angles are congruent, making them equal to each other).
<TBN = 60°
<TBN + <NBE = 180° (angles on a straight line are equal to 180°)
60° + <NBE = 180°
<NBE = 180° - 60°
<NBE = 120°
Angle <NBE is equal to 120°
The image wont load. could you maybe type it out?
1.5x + 7 = 20.5
First subtract 7 from both sides
1.5x = 13.5
Then divide both sides by 1.5
x = 9
Let me know in comments if you have questions
