Answer:
<h2>Factors = (3x - 1) (2x - 1)</h2><h2>values :- x = 1/3 , 1/2</h2>
Step-by-step explanation:
= > 6x^2 + 1 = 5x
• Bring it in the standard form,
= > 6x^2 - 5x + 1 = 0
= > 6x^2 - (3 + 2)x + 1 = 0
= > 6x^2 - 3x - 2x + 1 = 0
• Take out common
= > 3x (2x - 1) - 1 (2x - 1) = 0
= > (3x - 1) (2x - 1) = 0...factors
= > x = 1/3 and 1/2... values of x
<h2>Hope it helps you!! </h2>
I'm going to separate this into sections so it makes more sense for you to read. For the problems with π where you have to round, ask your teacher where to round, unless your textbook specifies it:
A – 100 cm^2
To calculate area of squares, you multiply l • w. It's a square, so all sides are equal, and since we know that one side = 10 cm, the area is 10 • 10 = 100
B – πr^2 (not sure if the r shows up very well, so I'm retyping it in words - pi • radius squared)
C – 25π cm^2 or an approximate round like 78.54 cm^2 (ask your teacher about this – it could be to the nearest tenth, hundredth, etc.)
To find the area of a circle, you must follow the formula πr^2. In this case, the diameter is 10. The radius is half the diameter, so to substitute the values you must find 10 ÷ 2 = 5. So the radius is 5 cm. From there you can substitute r for 5, ending up with π • 5^2. 5^2 = 25, so the area is 25π, or about 78.54, depending on where the question wants you to round.
D – An approximate round (to the nearest hundredth it is 21.46 cm^2)
To find the area of the shaded region, just subtract the circle's area from the square's area, or 100 – 25π ≈ 21.46. Again, though, ask your teacher about where to round, unless your textbook specifies it.
E – dπ (diameter • pi)
F – 10π cm^2 or an approximate round like 31.42 cm^2
The diameter is 10. 10π ≈ 31.42
Hope this helps!
Answer:
Radius: 8.5 inches
Area ≈ 226.98
Circumference ≈ 53.42
Step-by-step explanation:
2πr = formula for circumference of a circle
πr² = formula for area of a circle
radius of a circle = (1/2)d
Answer:
57.14
Step-by-step explanation:
8/14 =x/100
cross multiply
800= 14x
x=57.1428
