0.49 or .49 because 9.80 / 20 = .49 and .49 * 20 = 9.80
Hope this helped! Lemme know if this is correct, I'm 99.9999999% sure it is XD but if not my apologizes. :)
Answer:
3x3x3
Step-by-step explanation:
Step-by-step explanation:
For a triangle, any 2 side lengths of the triangle must be greatee than the 3rd side.
Given a triangle with side lengths 11, 23 and x,
we have:
- 11 + 23 > x,
- 11 + x > 23, and
- 23 + x > 11.
Therefore 34 > x and x > 12. => 12 < x < 34.
As we can see from the angles given, one is 90 degrees, the triangle should be a right triangle. We are given the two angles and one side which would represent the hypotenuse or the longest side. The area of a triangle is calculated from one half the product of its base and its height. From the given values, we need to calculate for the height and base. We do as follows:
sin 75 = height / √3
height = 1.67
cos 75 = base / √3
base = 0.45
Area = bh/2
Area = (0.45) (1.67) / 2
Area = 0.37 square units
Therefore, the area of the triangle is about 0.37 square units.
Answer:
$14.39
Step-by-step explanation:
The formula for continuous compounding of interest is:
A = Pe^(rt), were P is the initial dollar amount, A is the final amount, r is the interest rate as a decimal fraction, and t is the time in years.
Here we have $2109 = $500e^(10r) and need to solve for r.
To do this, take the natural log of both sides, obtaining:
ln 2109 = ln 500+ 10r.
Then 10r = ln 2109 - ln 500, and
ln 2109 - ln 500
r = --------------------------------------------
10
= .1439
The interest rate was 14.39%.
