Answer:
A
Step-by-step explanation:
we can find using the trigonometric formulas
we can find y by using cosine.
cos = adj / hyp
cos 60 = y / 10
y = 10 cos 60
y = 5
now we can use the Pythagorean theorem since we have the base and hyp
a² + b² = c²
5² + b² = 10²
25 + b² = 100
b² = 75
b = 5√3
The area of the shaded region is 44.24\ cm^{2}44.24 cm2
Step-by-step explanation:
we know that
The area of the shaded region is equal to the area of the circle minus the area of rectangle
step 1
Find the area of circle
The area of the circle is equal to
A=\pi r^{2}A=πr2
we have
r=4\ cmr=4 cm
substitute
A=\pi (4)^{2}A=π(4)2
A=16\pi\ cm^{2}A=16π cm2
step 2
Find the area of rectangle
The area of rectangle is equal to
A=(3)(2)=6\ cm^{2}A=(3)(2)=6 cm2
step 3
Find the difference
16\pi\ cm^{2}-6\ cm^{2}16π cm2−6 cm2
assume
\pi=3.14π=3.14
16(3.14)\ cm^{2}-6\ cm^{2}=44.24\ cm^{2}16(3.14) cm2−6 cm2=44.24 cm2
Gabriella x
Her sister x+6
Their mother 2*(x+6)=2x+12
Their aunt (2x+12)+x=3x+12
Answer:
128
Step-by-step explanation:
you times all of it then divide by 4