Total cost of canvas required in making the tent is rupees 79128
<em><u>Solution:
</u></em>
Given:
Height of the cylindrical tent = h = 3.3 m
Diameter of it's base = d = 100m
r = 50 m
<em><u>Curved surface area of cylinder:</u></em>
![C.S.A = 2 \pi rh](https://tex.z-dn.net/?f=C.S.A%20%3D%202%20%5Cpi%20rh)
![C.S.A = 2 \times 3.14 \times 50 \times 3.3 = 1036.2](https://tex.z-dn.net/?f=C.S.A%20%3D%202%20%5Ctimes%203.14%20%5Ctimes%2050%20%5Ctimes%203.3%20%3D%201036.2)
Thus Curved surface area of cylinder = 1036.2 square meter
<em><u>Curved surface area of cone:</u></em>
![C.S.A = \pi rl](https://tex.z-dn.net/?f=C.S.A%20%3D%20%5Cpi%20rl)
![C.S.A = 3.14 \times 50 \times 56.4 = 8854.8](https://tex.z-dn.net/?f=C.S.A%20%3D%203.14%20%5Ctimes%2050%20%5Ctimes%2056.4%20%3D%208854.8)
Thus Curved surface area of cone = 8854.8 square meter
<em><u>Total curved area of tent:</u></em>
⇒ curved area of cone + curved area of cylinder
![\rightarrow 8854.8 + 1036.2=9891](https://tex.z-dn.net/?f=%5Crightarrow%208854.8%20%2B%201036.2%3D9891)
Thus total curved area of tent = 9891 square meter
<em><u>find total cost of canvas required in making the tent:</u></em>
The cost of canvas is 8 rupees per square meter
![\rightarrow \text{total cost } = 9891 \times 8 = 79128](https://tex.z-dn.net/?f=%5Crightarrow%20%5Ctext%7Btotal%20cost%20%7D%20%3D%209891%20%5Ctimes%208%20%3D%2079128)
Thus total cost of canvas required in making the tent is rupees 79128
Given: In the given figure, there are two equilateral triangles having side 50 yards each and two sectors of radius (r) = 50 yards each with the sector angle θ = 120°
To Find: The length of the park's boundary to the nearest yard.
Calculation:
The length of the park's boundary (P) = 2× side of equilateral triangle + 2 × length of the arc
or, (P) = 2× 50 yards + 2× (2πr) ( θ ÷360°)
or, (P) = 2× 50 yards + 2× (2×3.14× 50 yards) ( 120° ÷360°)
or, (P) = 100 yards + 2× (2×3.14× 50 yards) ( 120° ÷360°)
or, (P) = 100 yards + 209.33 yards
or, (P) = 309.33 yards ≈309 yards
Hence, the option D:309 yards is the correct option.
Answer:
y = 9.8995
Step-by-step explanation:
This question requires the use of basic trigonometry.
In this problem, we know one of the sides and two of the angles.
Since one of the angles is 45 degrees and the sum of all internal angles of a triangle is 180 degrees, the other angle can only be 45 degrees, making this an isosceles triangle - that is, the length of the other leg, x, is also 7.
You could use the soh cah toa mnemonic to figure it out, but here just using the a^2 + b^2 = c^2 should be sufficient since we know both legs of the triangle.
7^2 + 7^2 = 98, and the square root of 98 gives you about 9.8995, which sounds about right for this situation.
Hope this helped!
Answer:
B
Step-by-step explanation:
Answer:
a = (v – u)/t
Step-by-step explanation:
We know,
v = u+ at
v-u=at
(v-u) /t=a