Convert 33 and 1/3% into a decimal
2 answers:
Answer: 0.3 repeating
Step-by-step explanation: We can change a percent to a decimal by moving the decimal point two places to the left. However, this problem has no decimal point so we need to first change the fraction to a decimal so that we have a decimal point to work with.
We can write the fraction 1/3 as a decimal by dividing the denominator which is 3 into the numerator which is 1. When we divide 3 into 1, we get .3 repeating. This means that we can rewrite 33 and 1/3% as 33.3% repeating.
Now, we move the decimal point two places to the left and we get .333 repeating or 0.3 repeating.
Therefore, 33 and 1/3% can be written as the decimal 0.3 repeating.
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The graph of the solution set for the inequality can be seen below.
<h3>How to graph the solution set?</h3>Here we have the inequality:
3x - 2y < -12
If we isolate y, we get:
3x + 12 < 2y
(3x + 12)/2 < y
(3/2)x + 6 < y
Now, we just need to graph the line y = (3/2)x + 6 with a dashed line (because the points on the line are not solutions).
And then we need to shade the region above the line.
The graph of the solution set can be seen below.
If you want to learn more about inequalities:
#SPJ1
Answer:
1.6m
Step-by-step explanation:
The length of the blade is 3.2m
The angle which the blade makes is 30°
Assuming the path of the blade and the length it covers is a right-angled triangle,
The length of the blade is the hypothenus while the path at which it clears is the opposite of the triangle.
See attached document for better illustration.
Using SOHCAHTOA,
Sinθ = opposite / hypothenus
opposite = x
hypothenus = 3.2
θ = 30°
Sin30 = x / 3.2
X = 3.2sin30
X = 3.2 × 0.5
X = 1.6m
The path which the snow plough clears is 1.6m
