Two similar bottles are shown. the smaller bottle can hold 500ml. how much can the larger bottle hold. the smaller bottle is 15
cm in height and the larger bottle is 21 cm in height
what i have written is one mark out of 3
what i have written is one mark out of 3
2 answers:
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Answer:
4.4 m
Step-by-step explanation:
Draw the height of the triangle (perpendicular line from point A to line BC). Since ABC is an isosceles triangle, the height is a perpendicular bisector, so it splits the triangle into two congruent right triangles.
Use Pythagorean theorem to find the height.
c² = a² + b²
(8.5 m)² = (14.5/2 m)² + h²
h ≈ 4.4 m
Answer:
The ordered pairs represent points on the line are
(4, 3) ⇒ C
(2, ) ⇒ D
(-8, -6) ⇒ E
Step-by-step explanation:
To find the ordered pairs represent points on the line, substitute x by the x-coordinate of each point, if the value of y equals the y-coordinate of the point, then the point is on the line.
∵ The equation is y = x
∵ The ordered pair is (8, )
→ Substitute x by 8
∴ y = (8)
∴ y = 6
∵ The value of y does not equal the y-coordinate of the ordered pair
∴ The ordered pair (8, ) does not represent a point on the line
∵ The ordered pair is (,
)
→ Substitute x by
∴ y = (
)
∴ y =
∵ The value of y does not equal the y-coordinate of the ordered pair
∴ The ordered pair (,
) does not represent a point on the line
∵ The ordered pair is (4, 3 )
→ Substitute x by 4
∴ y = (4)
∴ y = 3
∵ The value of y equal the y-coordinate of the ordered pair
∴ The ordered pair (4, 3) represents a point on the line
∵ The ordered pair is (2, )
→ Substitute x by 2
∴ y = (2)
∴ y =
∵ The value of y equal the y-coordinate of the ordered pair
∴ The ordered pair (2, ) represents a point on the line
∵ The ordered pair is (-8, -6 )
→ Substitute x by -8
∴ y = (-8)
∴ y = -6
∵ The value of y equal the y-coordinate of the ordered pair
∴ The ordered pair (-8, -6) represents a point on the line