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:
what
Step-by-step explanation:
what figure
In 3 hours, they could bake 87 birthday cupcakes. If you divid 145 by 5 this gives you 29, and you multiply this by 3 to find how many can be made in 3 hours, which gives you 87:) hope this helps!
3.75.....rounded to the nearest dollar would be 4.00
Answer:
x=90
y=148
Step-by-step explanation:
Since we know a line is 180 degrees, and we know that angle Q is 90, x must be a 90-degree angle as well.
With our given information we can add up the two given angles in the triangle which are 90 and 58
90+58=148
To find what R is, we must subtract 148 from 180 because all the angles in a triangle sum up to 180.
180-148=32
Now that we know that R is 32, because we know that a line is 180 degrees, we can subtract 32 from 180 to get our final answer for y as 148.
180-32=148
