Answer: 1. ∠A= 80.75° 2. 41.79 
Step-by-step explanation:
Since, According to the sines low,
Here, CB= 4.1 cm, AB = 3.3 and ∠ C = 52.6°
⇒ 
⇒ 
⇒ A = 80.75°
2. Since, the area of the given figure = Area of the rectangle having dimension 8.3 × 4.2 + Area of the half square of radius 2.1
=34.86 + 6.93
= 41.79 square cm
Answer:
0.004462m²
612000m²
0.0482m²
Step-by-step explanation:
Using the conversion
1mm² = 10^-6m²
4462mm² = x
Cross multiply
1 * x = 4462 * 10^-6
x = 4462 * 10^-6
x = 4.462 * 10^3 * 10^-6
x = 4.462*10^{3-6}
x = 4.462*10^-3
x = 0.004462m²
Hence 4462 mm² in m² is 0.004462m²
0.612 km² in m²
1km² = 10^6m²
0.612km² = y
Cross multiply
1 * y = 0.612 * 10^6
y = 0.612*1,000,000
y = 612000m²
Hence 0.612 km² in m² is 612000m²
482 cm² in m²
1cm² = 0.0001m²
482 cm² = z
z = 482 * 0.0001
z = 0.0482m²
Hence 482 cm² in m² is 0.0482m²
Answer: x - 5/x + 1
Step-by-step explanation:
This algebraic fraction
The task to be performed here is factorisation and simplification. Now going by the question,
x² + 4x - 45/x² + 10x + 9, the factorisation of
x² + 4x - 45 = x² + 9x - 5x - 45
= x(x + 9 ) - 5(x + 9 )
= ( x + 9 )(x - 5 ), don't forget this is the algebraic fraction's Numerator
The second part
x² + 10x + 9 = x² + x + 9x + 9
= x(x + 1) + 9( x + 1 )
= ( x + 9 )( x + 1 ), this is the algebraic denominator.
Now place the second expression which is the denominator under the first expression which is the numerator.
( x + 9 )( x - 5 )/( x + 9 )( x + 1 ).
You can see that, ( x + 9 )/( x + 9 ) divide each other , therefore therr then cancelled and left with
x - 5/x + 1
Answer:
b. 
f. 17 hours
Step-by-step explanation:
Charges for coming to my house = $68 (this will be the constant of the equation)
Amount charged per hour labor = $17
hours = h
Total amount paid to Mike = 357
The equation that represents this situation can be expressed as:
Solve for h
(subtraction property of equality)
(division property of equality)
Mike was in my house for 17 hours.
