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.
Add 1/9 to both sides
n^2+2/3n+1/9=0
factor
I recognize a perfect square binomial
(a+b)^2=a^2+2ab+b^2
1n^2+2(n)(1/3)+(1/3)^2
(n+1/3)^2=0
set to zero
n+1/3=0
minus 1/3
n=-1/3
Multiple primary malignant neoplasms (MPMN) is defined as the presence of two or more malignant tumors of different histological entities in an individual. MPMN are a common occurrence. The incidence among all malignancies ranges from 0.4 to 21% from different studies and countries.
Answer: 300 cubic inches
Explanation:
Imagine slicing the T shape into two pieces such that we have two rectangular blocks.
- The larger block down below has volume of 3*12*5 = 180 cubic inches.
- The smaller block on top has volume of 8*3*5 = 120 cubic inches
The overall volume of this T shape is 180+120 = 300 cubic inches.