Factoring the expression would be 6a(2a^2+4a-1)
Answer: 42 feet
Step-by-step explanation:
Let the length be x
Therefore, width = 2/3x
Area = Length × Width
Therefore, x × 2/3x = 1176
2/3x² = 1176
Divide both side by 2/3
x² = 1176 ÷ 2/3
x² = 1176 × 3/2
x² = 1764
x = ✓1764
x = 42
The length is 42 feet
Given that triangles MON and POQ are similar triangles, the length of PO is 30 units.
<h3>What are Similar Triangles?</h3>
The triangles that are similar to each other will have their corresponding sides proportional to each other.
Given:
MP = 25
PQ = 18
MN = 33
Triangles MON and POQ are similar triangles.
Let PO = x
Therefore:
MN/PQ = MO/PO
Substitute
33/18 = (25 + x)/x
Cross multiply
33x = 18(25 + x)
33x = 450 + 18x
33x - 18x = 450
15x = 450
x = 30
Therefore, given that triangles MON and POQ are similar triangles, the length of PO is 30 units.
Learn more about similar triangles on:
brainly.com/question/21874653
.03 as a percent is 3%...... because you move the decimal to the left two times.
The rectangle's area decreased by 19%.
Length = L
Breadth = B
Original area = L x B
New area = A = L x (1 + 25%) x B x (1 - 25%)
A = L x B x 0.25 x 0.75 = L x B x 1.05
Therefore the area of the rectangle has decreased by 19%.
To find the location of a rectangle, multiply its width by means of its height. If we understand the sides of the rectangle which are different lengths, then we have each the height and the width.
The perimeter P of a rectangle is given through the system, P=2l+2w, wherein l is the period and w is the width of the rectangle. The area A of a rectangle is given by means of the method, A=lw, in which l is the duration and w is the width.
Learn more about rectangle here brainly.com/question/25292087
#SPJ4