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sammy [17]
2 years ago
9

Which measurements are for a rectangle with an area of 16 square units?

Mathematics
1 answer:
Hoochie [10]2 years ago
5 0

Answer:

This would be <em>length = 4</em> and <em>width = 4</em>

Step-by-step explanation:

This is because to find the area of a rectangle its length x width.

So the two numbers that multiply to 16 is 4 and 4.

If you have any questions feel free to ask in the comments - Mark

ALSO Happy Valentines Day ❤️

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slader (a) Find parametric equations for the line through (4, 1, 8) that is perpendicular to the plane x − y + 4z = 2. (Use the
Pavel [41]

Answer:

(x(t), y(t), z(t)) = (4 + t, 1 - t, 8 + 4t)

xy - plane    (x, y, z) = (2, -1, 0)

yz - plane    (x, y, z) = (0, 5, -8)

xz - plane     (x, y, z) = (5, 0, 12)

Step-by-step explanation:

The given point (x, y ,z) = (4, 1, 8)

The plane x -y + 4z = 2

Normal vector (n) = < 1, -1, 4 >

The equation of line through point (4, 1, 8) and the plane is:

(x(t), y(t), z(t)) = (4, 1, 8) + t(1, -1, 4)

(x(t), y(t), z(t)) = (4 + t, 1 - t, 8 + 4t)

Any point on the line P(x, y, z) = ( 4 + t, 1 - t, 8 + 4t)

xy-Pane ⇒ z = 0

8 + 4t = 0

4t = - 8

t = -8/4

t = -2

∴

(x, y, z) = (4 - 2, 1 - 2, 8 + 4(-2))

(x, y, z) = (2, -1, 0)

yz-plane ⇒ x = 0

4 + t = 0

t = -4

∴

(x, y, z) = (4 + (-4) , 1-(-4), 8 + 4(-4)

(x, y, z) = (0, 5, -8)

xz-plane ⇒ y = 0

1 - t = 0

-t = -1

t = 1

∴

(x, y, z) = ( 4 + 1, 1 - 1, 8 + 4(1) )

(x, y, z) = (5, 0, 12)

6 0
3 years ago
A regular heptagon has a side length of 13.9 and an apothem of 14.4. Find the area of the regular heptagon. Round your answer to
ivann1987 [24]

Answer: 701

Step-by-step explanation:

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The area of the regular heptagon can be calculated by:

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To the nearest whole number, will be:

Area = 701 square units

4 0
3 years ago
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