Let the length of the shortest side = x
The two longer sides that are equal = 3x
The are two equal longer sides, so their total is 3x + 3x = 6x
3x+ 3x + x= 35 Collect like terms on the left
7x = 35 Divide by 7 on both sides
x = 35/7
x = 5
Answer
Two long sides -- 15 cm each
Shortest side -- 5 cm
Answer:
The volume of the triangular prism is 5676.16 cm³
Step-by-step explanation:
The area of the triangular base A = bh/2 where b = base = 28 cm and h = height = 22.4 cm.
Now, the volume of the triangular prism, V = area of triangular base, A × height of prism, h'
V = Ah' where h = height of prism = 18.1 cm
So, V = bhh'/2
Substituting the values of the variables into the equation for V, we have
V = bhh'/2
V = 28 cm × 22.4 cm × 18.1 cm/2
V = 14 cm × 22.4 cm × 18.1 cm
V = 5676.16 cm³
So, the volume of the triangular prism is 5676.16 cm³
Answer:
3,-1,15
Step-by-step explanation:
(0,3) (2,-1) (-6,15)
Answer:
46656
Step-by-step explanation:
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.
