Answer:
x=5
AOB = 8
BOC = 13
AOC = 21
Step-by-step explanation:
<em>Angle AOB and Angle BOC is equal to Angle AOC.</em>
AOB = x+3
BOC = 4x-7
AOC= 2x+11
AOB + BOC = AOC
x+3+4x-7 = 2x+11
5x-4 = 2x+11
3x = 15
x = 5
Therefore, the value of x is 5.
<em>Angle AOB = x+3</em>
AOB = 5+3
AOB = 8
<em>Angle BOC = 4x-7</em>
BOC = 4(5)-7
BOC = 13
<em>Angle AOC = 2x+11</em>
AOC = 2(5)+11
AOC = 21
!!
Answer:
y = 4000/x²
Step-by-step explanation:
The volume of the building is expressed as;
V = x²y where;
x is the length and width of the base.
y is the height of the building
Given
Volume V = 4000m³
Substitute the given volume into the equation as shown;
4000 = x²y
Make y the subject of the formula by dividing both sides by x²
4000/x² = x²y/x²
4000/x² = y
Rearrange
y = 4000/x²
Hence equation for y, the height of the building, in terms of x, the length and width of the base is expressed as y = 4000/x²
Answer:
2.4x - 4.4
Step-by-step explanation:
0.3(4x – 8) – 0.5(–2.4x + 4)
1.2x - 2.4 + 1.2x -2
2.4x - 4.4
Answer:
Answer is a
Step-by-step explanation:
Since each square will have an area of 4 cm^2 because they are congruent, then let’s find the side length of them.
Square root of 4 is two
Each side is 2 cm. Since the unshaded triangle has 3 on the base and height, then it is same to assume that the triangle has a base of 6 cm (2 * 3) and a height of 6 cm.
The formula of the area of a triangle is:
1/2 ( base times height)
Let’s plug in some values
1/2(6 * 6)
Multiply
1/2 (36)
Divide
18
Since the triangles are also congruent, then the shaded side has the same area.
The shaded triangle has an area of 8 cm ^2
