Answer:
1) ΔACD is a right triangle at C
=> sin 32° = AC/15
⇔ AC = sin 32°.15 ≈ 7.9 (cm)
2) ΔABC is a right triangle at C, using Pythagoras theorem, we have:
AB² = AC² + BC²
⇔ AB² = 7.9² + 9.7² = 156.5
⇒ AB = 12.5 (cm)
3) ΔABC is a right triangle at C
=> sin ∠BAC = BC/AB
⇔ sin ∠BAC = 9.7/12.5 = 0.776
⇒ ∠BAC ≈ 50.9°
4) ΔACD is a right triangle at C
=> cos 32° = CD/15
⇔ CD = cos32°.15
⇒ CD ≈ 12.72 (cm)
Step-by-step explanation:
Answer:
36π
Step-by-step explanation:
The area of a circle is given as:
where r = radius of the circle
The area of a sector of a circle is given as:
where α = central angle in radians
Since 
is the area of a circle, A, this implies that:
A circle has a sector with area 33 pi and a central angle of 11/6 pi radians.
Therefore, the area of the circle, A, is:
The area of the circle is 36π.
Answer:
In our case the least precise is the one with no decimal units, in our case 231 cm
Step-by-step explanation:
Perimeter=2(L+w)
where;
L=length=81.47 cm
W=width=34.2 cm
Replacing;
Perimeter=2(81.47+34.2)=231.34 cm
The most precise is the one with the highest decimal units, for example 231.34 in our case the least precise is the one with no decimal units, in our case 231
26.4 into fraction
26.4/1 * 100/100
2640/100
slash the zeros
264/10
simplify
132/5
turn it into a mixed fraction and you get
26 2/5
