Answer:
<u>OAmalOHopeO</u>
Your sister is considering two different shapes for her garden. One is a square with side lengths of 3.5 meter, and the other is
1 answer:
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Answer:
The coordinates of the centroid are (0, 5)
Step-by-step explanation:
The coordinates of the centroid of a triangle whose vertices (x1, y1), (x2, y2), and (x3, y3) are ( ,
)
In Δ ABC
∵ A = (-20, 0), B = (0, 15), C = (20, 0)
∴ x1 = -20, x2 = 0, x3 = 20
∴ y1 = 0, y2 = 15, y3 = 0
∴ The centroid = ( ,
) = (
,
) = (0, 5)
∴ The coordinates of the centroid of Δ ABC are (0, 5)
In Δ DBE
∵ D = (-15, 0), B = (0, 15), E = (15, 0)
∴ x1 = -15, x2 = 0, x3 = 15
∴ y1 = 0, y2 = 15, y3 = 0
∴ The centroid = ( ,
) = (
,
) = (0, 5)
∴ The coordinates of the centroid of Δ DBE are (0, 5)
In Δ FBG
∵ F = (-5, 0), B = (0, 15), G = (5, 0)
∴ x1 = -5, x2 = 0, x3 = 5
∴ y1 = 0, y2 = 15, y3 = 0
∴ The centroid = ( ,
) = (
,
) = (0, 5)
∴ The coordinates of the centroid of Δ FBG are (0, 5)
∵ The three triangles are symmetric about the y-axis
→ That means they have the same centroid and it lies on the y-axis
∴ The coordinates of the centroid are (0, 5)
<u>Answer:</u>
- The length of the hypotenuse is 33 yards.
<u>Step-by-step explanation:</u>
<em>We can solve for 'a' using Pythagoras theorem. Let's solve it.</em>
- 65² = b² + 56²
- => 4225 = b² + 3136
- => b² = 1089
- => b = 33
Hence, the length of the hypotenuse is 33 yards.
Hoped this helped.
Answer:
Step-by-step explanation:
The formula of a volume of a cube:
<em>a</em> - edge
We have
Convert to the improper fraction:
Substitute to the formula of a volume: