Answer:
1. ∠A = 71.9°
2. ∠B = 62.9°
3. ∠C = 27.5°
Step-by-step explanation:
By using a calculator, we have;
cos A = 0.31
sin B = 0.89
tan C = 0.52
1. Therefore, ∠A = cos⁻¹(0.31), inputting the digits in the calculator and looking for the inverse sign, we have;
∠A = cos⁻¹(0.31) = 71.94° = 71.9° to the nearest tenth of a degree.
2. For sin B = 0.89, we have;
∠B = sin⁻¹0.89 = 62.873° ≈ 62.9° with the answer rounded to the nearest tenth of a degree.
3. Similarly, for tan C = 0.52, inputting the values in the calculator and pressing the tan⁻¹ button, we have;
∠C = tan⁻¹(0.52) = 27.474°, which is 27.5° rounded to the nearest tenth of a degree.
Firstly, let's solve for the third interior angle of the triangle. Interior angles of all triangles add to equal 180 degrees; to find the third interior angle, set the sum of the two known angle measures and the third angle measure, x, equal to 180 and solve.
180 = 75 + 50 + x
180 = 125 + x
55 = x
Now that we know all interior angle measures, we can begin to name the sides from shortest to longest.
The shortest side will always be opposite the smallest interior angle - in this case, angle H. This rule applies to both the other sides and angles; the longest side is opposite the largest interior angle, which in this case is angle G. (This means the second-largest angle is opposite the second-longest side - the sole remaining angle.)
The order of sides from shortest to longest: side IG, side GH, side HI.
Answer:
B
Answer:
Account A will earn approximately $7 more in interest than account B.
Step-by-step explanation:
The answer is Option B
We know that this inequality doesn't require any negative number division, there's no need to switch the ≤'s into ≥'s.
So now, all we have to do is subtract 25 from every number, giving us <u>5≤x≤50</u>
