- Midpoint Formula:
Given our two points, (-3,9) and (-1,4), we can apply them to the midpoint formula and solve for it as such:
<u>Your midpoint is (-2,6.5)</u>
Answer:
It is impossible for a number to be both less than 1 and greater than or equal to 3, so the compound inequality has NO SOLUTION.
Step-by-step explanation:
The word "and" tells us that we are looking for all values of x that satisfy BOTH inequalities simultaneously.
3x + 5 < 8 and 2x + 5 ≥ 11
3x < 3 and 2x ≥ 6
x < 1 and x ≥ 3
It is impossible for a number to be both less than 1 and greater than or equal to 3, so the compound inequality has NO SOLUTION.
<u>Answer:</u>
The value of cos 45 degrees in simplified radical form is 0.70710 approximately.
<u>Solution:</u>
Given, Cos of angle 45 degrees.
We have to find the value of the Cos of 45 degrees in radical form.
From trigonometric ratios,
Cos of angle 45 degrees = cos 45 = 
Multiplying numerator and denominator with square root of 2
The value of square root of 2 is 1.414213
Hence, the value of Cos of angle 45 degrees is 0.70710 approximately
Answer:
Number of year = 17 year 4 month (Approx.)
Step-by-step explanation:
Given:
Current amount = $500
Future amount = 2 x 500 = $1,000
Rate of interest = 4%
Find:
Number of year
Computation:
Rate [Monthly] = 4% / 12 = 0.00333
Total time = 12 x n = 12n
A = P[1+r]¹²ⁿ
1000 = 500[1+0.003333]¹²ⁿ
2 = [1+0.003333]¹²ⁿ
2 = [1.003333]¹²ⁿ
Number of year = 17.358
Number of year = 17 year 4 month (Approx.)
