Answer:
404 cm³ Anyway... Look down here for my explanation.
Step-by-step explanation:
Let's Draw a line from the center of the circle to one of the ends of the chord (water surface) and another to the point at greatest depth on your paper. A right-angled triangle is formed too. The Length of side to the water-surface is 5 cm, the hospot is 7 cm.
We Calculate the angle θ in the corner of the right-angled triangle by: cos θ = 5/7 ⇒ θ = cos ˉ¹ (5/7)
44.4°, so the angle subtended at the center of the circle by the water surface is roughly 88.8°
The area shaded will then be the area of the sector minus the area of the triangle above the water in your diagram.
Shaded area 88.8/360*area of circle - ½*7*788.8°
= 88.8/360*π*7² - 24.5*sin 88.8°
13.5 cm²
(using area of ∆ = ½.a.b.sin C for the triangle)
Volume of water = cross-sectional area * length
13.5 * 30 cm³
404 cm³
There are 108 degrees in each interior angle of a regular pentagon .
I hope that's help !
Answer:
Step-by-step explanation: 32
Answer:
Step-by-step explanation:
<u>The angles B and Q should be same, therefore:</u>
- Q = 4x + 2 and B = 15x - 64
<u>The equation below as per above, solving for x:</u>
- 4x + 2 = 15x - 64
- 15x - 4x = 64 +2
- 11x = 66
- x = 6
<u>Then the angle measures:</u>
