<h2>
Stella is correct about center and wrong about radius </h2>
Step-by-step explanation:
Equation of circle with (h,k) as center and radius r is given by,
(x-h)²+(y-k)² = r²
Here equation is
x²−8x+y²+2y=5
Changing in to (x-h)²+(y-k)² = r² form
x²−8x + 16 - 16 +y²+2y+1 - 1=5
(x-4)² - 16 + (y+1)² -1 = 5
(x-4)² + (y+1)² = 22
(x-4)² + (y+1)² = 4.69²
Center is (4,-1) and radius is 4.69
Stella is correct about center and wrong about radius
D. 663 square meters is the anwser
Answer: the second one
Step-by-step explanation:
The first one is reflection over the x-axis, rotated, and translated. The third one is rotated 90 degrees
We know that
the law of sinus established
a/sin A=b/sin B=c/sin C
so
A=30°
B=45°
b=10 units
a/sin A=b/sin B---------> a/sin 30=10/sin 45------> a=10*sin 30/sin 45
a=7.07 units
C=180-(A+B)-------> C=180-(75°)-----> C=105°
b/sin B=c/sin C--------> c=b*sin C/sin B----> c=10*sin 105/sin 45
c=13.66 units
Area=(1/2)*b*c*sin A-------> Area=(1/2)*10*13.66*sin 30°-----> 34.15 units ²
the area of triangle is 34 units²
