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
Answer:
65
Step-by-step explanation:
Answer: $45,050
Step-by-step explanation:
First we multipy 0.06 (6%) by 42,500
$42,500 * 0.06 = $2550
This is the tax that must be applied to $42,500
Now all we need to do is add $2,550to $42,500 and we get:
$42,500 + $2,550 = $45,050
Step-by-step explanation:
You need to find the total number of students the pie chart will represent:
17 + 35 + 38 = 90
So you know, 360° represents 90 people
You can then find out the angle for each person: 360 ÷ 90 = 4
Each person is 4°
a)
1. 17 people took French so you would do 4° × 17 = 68°
2. 35 people took German so you would do 4° × 35 = 140°
3. 38 people took Italian so you would do 4° × 38 = 152°
b)
17 out of 90 people chose french so the probability would be 17/90
