Answer: LHS = RHS
Step-by-step explanation:
Heya!!
Here, we need to compare the LHS and RHS
So, here is the solution -
(9p-5q)²+ 180 pq = (9p+5q)
LHS
= (9p-5q)²+ 180 pq
= 81 p² + 25 q² + 90 pq + 180 pq
= (9p - 5q) ²
RHS = (9p - 5q) ²
Hence, proved => LHS = RHS
Hope it helps!
Answer: The observed ratio is different from the expected ratio.
Step-by-step explanation:
Since we have given that
Expected ratio :
Ratio of blue flowered plants to white flowered plant = 3:1
Observed results:
Number of blue flowered plants = 35
Number of white flowered plants = 14
So, Ratio of blue flowered plants : white flowered plants
So, 5:2 ≠ 3:1
Hence, the observed ratio is different from the expected ratio.
Answer:Since the vehicles are travelling in the exact opposite direction, the sum of their rates is the rate at which they are separating. 48 + 64 = 112 miles per hour of separation.
728 miles ÷ 112 miles/hour = 6.5 hours
Step-by-step explanation:
B is the answer hope this helps :)
A = 6 cm; B = 3 cm; C = 8 cm; D = 10 cm
The Surface area of the prism = 120 cm².
<h3>How to Find the Surface Area of Triangular Prism?</h3>
Surface area = Area of A + B + C + D
The side lengths are:
A = 6 cm
B = 3 cm
C = 8 cm
D = 10 cm
Surface area of the prism = 2(area of triangular face) + area of rectangle 1 + area of rectangle 2 + area of rectangle 3
Area of triangular face = 1/2(b)(h) = 1/2(8)(6) = 24 cm
Area of rectangle 1 = (length)(width) = (10)(3) = 30 cm²
Area of rectangle 2 = (length)(width) = (6)(3) = 18 cm²
Area of rectangle 3 = (length)(width) = (8)(3) = 24 cm²
Surface area of the prism = 2(24) + 30 + 18 + 24 = 120 cm².
Learn more about Surface Area of Triangular Prism on:
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