Answer:
Volume = V= 346.43 cm ^3
Step-by-step explanation:
15.32 x 10 = 153.2cm Area of side
We find the height of the cylinder, to enable the radius/2 for the circle side x 2
it would be the same as triangle side 6 but the exact circumference is worked out at 6.37
We start by finding the side
As a = half circumference = 20 x sin (30) =10 we x2 for full circumference, then divide by pi
10 +10 =20cm circumference.
20/6.28 =3.1847133758 = radius
we x 2 and find the height
3.1847133758 x 2 = 6.3694267516
rounded to nearest 10th = 6.4 units exact 6.37
We find other measurements before calculating volume.
and b = √400-√100 = √300
b= 17.32 (height for volume use) or length of right side cylinder
c= 20 hypotenuse.
Volume = πr2h
V= 3.14 * 6.37 * 17.32 =346.43
V= 346.43 cm ^3
V= 346 cm ^3 to nearest 10th
V= 346.43 cm^3
Here we are finding x, given the angle and adjacent side. To find x we will use the function cos as cos = a/h.
So let's do cos(35°) = 15cm / x
cos(35°) = 0.8 (1 dp)
x = 15 cm / cos(35°)
x = 18.3 cm (1 dp)
Answer:
Area = 960 cm^2
Step-by-step explanation:
Perimeter (P) = 2 (l + w)
P = 2l + 2w
Let the length be 5x
Let the width be 3x
From the question, P = 128.
Therefore:
128 = 2l + 2w
Divide both sides by 2.
l + w = 64
Recall we said:
l = 5x
w = 3x
So then:
5x + 3x = 64
8x = 64
Divide both sides by 8
x = 64/8
x = 8.
Since x = 8
Length = 5x = 5*8 = 40cm
Width =3x = 3 * 8 = 24cm
Area of a RECTANGLE:
Area = length * width
Area = 40 * 24
Area = 960 cm^2
Answer:
10y^2-3xy+6x
Step-by-step explanation:
Answer: each guest gets 4.19 cm²
Step-by-step explanation:
The cake is a circle. The area which he cuts for himself is a sector with a central angle of 120 degrees. The formula for determining the area of a sector is expressed as
Area of sector = θ/360 × πr²
Where
θ represents the central angle
π is a constant whose value is 3.14
r represents the radius of the circle.
From the diagram,
r = 4cm
Therefore, area of the cake that he cut for himself is
120/360 × 3.14 × 4²
= 16.75 cm²
The total area of the cake is
3.14 × 4² = 50.24 cm²
Therefore, the rest of the cake is
50.24 - 16.75 = 33.49 cm²
The amount that each guest gets would be
33.49/8 = 4.19 cm²
