<span>the correct answer is x^2</span>+5x+3=<span>0</span>
Answer:
a) 54.6
b) 140
Step-by-step explanation:
7644 ÷ 140 = 54.6
so;
7644 ÷ 54.6 = 140
Answer:
7/15
Step-by-step explanation:
0.4
6 = 0
.
6 - 0.2
0.46 = 6/9 ⋅ 0.9 - 0.2
0.46 = 6/9 - 1/5
0.46 = 2/3 - 1/5
0.46 = 10/15 - 3/15
0.46 = 7/15
Note that 7 and 15 have no common factors larger than 1
, so this is in simplest terms.
The area of the shaded region is 3.125π - 6. The correct option is E. 3.125π - 6
<h3>Calculating area </h3>
From the question, we are to determine the area of the shaded region
The area of the shaded region = Area of the semicircle - Area of the triangle
First, we will determine the diameter, d, of the semicircle
d² = 3² + 4² (<em>Pythagorean theorem</em>)
d² = 9 + 16
d² = 25
d = √25
d = 5
∴ Diameter of the semicircle is 5
Thus,
Radius, r = 5/2 = 2.5
Now,
Area of the shaded region = 1/2(π×2.5²) - 1/2(3×4)
Area of the shaded region = 1/2(π×6.25) - 1/2(12)
Area of the shaded region = 3.125π - 6
Hence, the area of the shaded region is 3.125π - 6. The correct option is E. 3.125π - 6
Learn more on Calculating area here: brainly.com/question/14989383
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