The answer is 0.6616
Hope it helped :)
Answer:
![8^2\:+\:15^2=\:c^2](https://tex.z-dn.net/?f=8%5E2%5C%3A%2B%5C%3A15%5E2%3D%5C%3Ac%5E2)
c = 17
Step-by-step explanation:
This is the Pythagorean theorem
Answer:
24 units
Step-by-step explanation:
A triangle was dilated by a scale factor of 6. If sin a° = four fifths and segment DE measures 30 units, how long is segment EF?
triangle DEF in which angle F is a right angle, angle D measures a degrees, and angle E measures b degrees
15.5 units
24 units
30 units
37.5 units
From the description:
angle D measures a degrees
opposite to angle D is side EF
side DE (which measures 30 units) is the hypotenuse of the triangle.
We also know that
![\sin (a) = \frac{4}{5}](https://tex.z-dn.net/?f=%5Csin%20%28a%29%20%3D%20%5Cfrac%7B4%7D%7B5%7D)
![\sin (a) = \frac{opposite}{hypotenuse}](https://tex.z-dn.net/?f=%5Csin%20%28a%29%20%3D%20%5Cfrac%7Bopposite%7D%7Bhypotenuse%7D)
From definition:
![\sin (a) = \frac{opposite}{hypotenuse}](https://tex.z-dn.net/?f=%5Csin%20%28a%29%20%3D%20%5Cfrac%7Bopposite%7D%7Bhypotenuse%7D)
Replacing:
![\frac{4}{5} =\frac{ EF}{DE} \\\\EF = \frac{4}{5} *DE\\\\EF = \frac{4}{5} *30 \\\\= 24 units](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B5%7D%20%3D%5Cfrac%7B%20EF%7D%7BDE%7D%20%5C%5C%5C%5CEF%20%3D%20%5Cfrac%7B4%7D%7B5%7D%20%2ADE%5C%5C%5C%5CEF%20%3D%20%5Cfrac%7B4%7D%7B5%7D%20%2A30%20%5C%5C%5C%5C%3D%2024%20units)
1) c= 3.5cm × 22/7
c= 77cm/7 = 11cm
2) c= 2×3.14×5cm
= 6.28× 5cm
=31.4cm
3) L=180/360 × 22/7 × 3cm
= 1/2 × 22/7 ×3cm
=4.71 cm
4) c=12cm ×3.14
=37.68cm
5) c = 4.5cm × 3.14
=14.13cm
6) c = 6.7cm × 3.14
= 21.038cm
Answer: 40.27
Step-by-step explanation:
Let their September bill be x
Therefore, the October bill will be = x - 3.87.
Therefore, the addition of both bills will be:
x + (x - 3.87) = 237.75
x + x - 3.87 = 237.75
2x - 3.87 = 237.75
2x = 237.75 + 3.87
2x = 241.62
x = 241.62/2
x = 120.81
Therefore, September bill was 120.81
Since the 3 students share the bull equally, the amount owed by each will be:
= 120.81 / 3
= 40.27
Each person owes 40.27