The area of a triangle can be determined by knowing 2 sides and their included angle of a certain triangle. Since both sides are equal, then they would just be denoted by a squared entity. This is done as follows:
A = x² sin∅
32 = x² sin (5*pi/6)
Make sure your calculator is in rad form.
32 = x² (1/2)
x = 8
Thus, each side is 8 cm.
If a logarithm has a coefficient, then the coefficient can also be written as the exponent of the input of the logarithm. In other words, if you have the logarithm alog(x), that is equal to log(x^a). So the expression can be rewritten:
log(x^2)+log(y^3)
If tow logarithms of the same bases are added together that is equal to the logarithm of the product of the inputs of the two original logarithms. In other words, given log(x)+log(y), it can also be written as log(xy). So the expression can be combined into one logarithm:
log(x^2 * y^3)
Answer:
1) Yes 2)No
Step-by-step explanation:
1) Yes because the two shorter lines combined are longer than the base and so those two lines are able to make a triangle.
2) No because the two lines on top will be equal to base line and so the two shorter lines will not be able to make a third angle because it will be level with the base.
