X^3=8
x^3=2^3
Therefore, x=2
Answer:
The area of the park is calculated through the equation,
A = 0.5ab(cos C)
Substituting the given above,
A = 0.5(533 ft)(525 ft)(cos 53°)
A = 84201.44 ft²
2. We find the radius of the second figure by the equation,
r = C / 2π
Substituting,
r = (30 in) / (2π) = 4.77 in
The radius of the first one is 9 inches. Getting the difference of these two figures will give us an answer of 4.225 inches.
Thanks Useless
ansverwinterblanco
Diameter of the basketball rim = 18 inches
Circumference of the basketball = 30 inches
You would have to fin the area so= pi*r^2
Basketball rim = 3.14 * (18/2)^2 = 3.14 * 9^2 = 3.14 * 81 = 254.34 in^2
The find the Circumference so= 2*pi*r
30 = 2*3.14*r
r = 30 / (2*3.14) = 30 / 6.28 = 4.78 inches
basketball = 3.14 * (4.78)^2 = 3.14 * 22.85 = 71.75 in^2
254.34 - 71.75 = 182.59 in^
3/14
[(I just came, Sorry for not giving a explanation)]
Answer:
<u>Volume</u>
For the rectangle, h = 3cm, l = 8cm, w = 6cm
V = length x width x height
V = 8cm x 6cm x 3cm
V = 144cm^3
For the semi circle, we need to find the radius. The radius is width/2, so 6cm/2 = 3cm. r = 3cm,
= 3.14
V = radius^2 x height x 
V = 3cm^2 x 3cm x 3.14
V = 84.8 cm^3/2 (because the cylinder needs to be divided to form a semi-circle)
V= 42.4cm^3 (there are two cylinders though so we will multiply this by 2 in the total volume)
Total volume:
V = 144cm^3 + 42.4cm^3(2)
V = 186.4cm^3
<u>Surface Area</u>
Rectangular prism:
A = 2[w(l) + h(l) + h(w)]
A = 2[6cm(8cm) + 3cm(8cm) + 3cm(6cm)]
A = 180cm^2
But there are two sides that are covered by the semi-circular prisms, so we will have to calculate those sides and remove them.
A = l x w
A = 6cm x 3cm
A = 18cm^2(2) (2 being the two faces)
A = 36cm^2
A = 180cm^2 - 36cm^2
A = 144cm^2 (the area of the rectangle)
Semi-circular prism:
A = 2
rh + 2
r^2
Earlier, we found out that the radius of the circle is 3cm, so we will plug that in.
A = 2(3.14)(3cm)(3cm) + 2(3.14)(3cm)^2
A = 113.09cm^2
Total surface area:
A = 144cm^2 + 133.09cm^2
A = 277.09cm^2
Therefore the total volume of the prism is 186.4cm^3 and the total surface area is 277.09cm^2.
Answer:
8 and 4
Step-by-step explanation:
i had it