The angle is 75.52 degrees
If there is a vector with the form a i + b j, the cosine of the angle between the given vector and the positive direction of the x - axis is calculated as:
cos θ = 
So, given the vector i+
, the cosine of the angle between the vector and the x-axis is:
cos θ = 0.25
Therefore, the angle θ between the given vector and the positive direction of the x-axis is:
θ = cos-1(0.25) = 75.52
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4x^2-5x=-1
4x^2-5x+1=0
4x+2.24x=1
6.24x=1
x= 0.16025641025641025641025641025641
<h2>
Answer:</h2>
D. The Earth's surface would be much colder than it is.
<h3>
Step-by-step explanation:</h3>
This is because warm temperatures and high levels of atmospheric carbon dioxide happen at about the same time. So if atmospheric carbon dioxide concentrations double warm up by between 2 and 4.5 degrees Celsius. On the other hand, water vapor promotes, as the greatest contributor, to the Earth’s greenhouse effect. In this way, if carbon dioxide, methane, and water vapor were not in the atmosphere, then it's obvious that the Earth's surface would be much colder than it is.
Answer:
2
Step-by-step explanation:
10-8
Answer:
$2278.846
Step-by-step explanation:
Given the following commision steps :
8% on first $1000;
12% next $2000;
20% on sales above $3000
Recorded sales for a week :
Monday $1500.00
Tuesday $3000.00
Wednesday $ 970.00
Thursday $4563.81
Friday $2760.42
This assu es that commision is calculated after weekly sales:
Total:
(1500 + 3000 + 970 + 4563.81 + 2760.42)
= $12794.23
8% on first $1000
0.08 × $1000 = $80
12% of $2000 = $240
20% of $(12794.23 - 3000)
= 0.2 × 9794.23
= 1958.846
Total commision for the week :
$(80 + 240 + 1958.846)
= $2278.846
