Answer:
c. 165.6 cm²
Step-by-step explanation:
We are given two sides of a triangle and an included angle. To find the area, we would apply the following formula:
Area = ½*b*c*Sin(A)
b = 25 cm
c = 25 cm
A = 32°
Area = ½*25*25*Sin(32)
Area = 165.59977
Area ≈ 165.6 cm² (nearest tenth)
In a 45 - 45 - 90 right triangle, the hypotenuse is √2 · legs = hypotenuse, so legs=
and to rationalize the denominator all we have to do is multiply the numerator and denominator by √2.
.

Factor the denominators.

Adjust fractions based on LCM.

Denominators are same, so add the fractions.

Expand the numerator.

Answer:
y=3x+3.
Step-by-step explanation:
the given graph intersect the X-axis in (-1;0), the Y-axis in (0;3). Then the slope of the required line is (3-0)/(0+1)=3 and the interception is 3 (point (0;3)).
Finally, the required equation in slope-interception form is y=3x+3.