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3 years ago

Describe the locus in space. points 4 mm from a line

1 answer:

3 0

-- On a flat, 2-dimensional (x-y) graph, the locus of all points that are
4mm from a given line consists of two more lines, one on each side
of the given line, and all three lines are parallel.

-- If we want to talk about 3-dimensional space, then the locus of all
points that are 4mm from a given line is a cylinder, with radius of 8mm,
and the given line is the axis of the cylinder.

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Answer:

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2 years ago

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3 years ago

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Write the expression (−7)·(−7)·5·5·5·5 using exponents.

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Answer:

-7² · 5⁴

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3 years ago

A sheet of cardboard is 1.6 m by 0.8 m. The following shapes are cut from the cardboard: ● a circular piece with radius 12 cm ●

babymother [125]

Answer:

1.17m²

Step-by-step explanation:

Total area of cardboard=

$1.6 \times 0.8 = 1.28m {}^{2}$

Area of circular piece=

$\pi \: r {}^{2} = ( \frac{22}{7} )(0.12) {}^{2} = \frac{198}{4375} m {}^{2}$

Area of rectangular piece=

$0.2 \times 0.15 = 0.03m {}^{2}$

Area of 2 triangular pieces=

$2( \frac{1}{2} \times 0.3 \times 0.1) = 0.03m {}^{2}$

Remaining area of the cardboard= Total area of cardboard - circular piece - 2 triangular pieces

$1.28 - \frac{198}{4375} - 0.03 -0.03 = \frac{21083}{17500} =1.17m {}^{2}$

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2 years ago

Solve for the variable b. 5a(b - c ) = d

OLEGan [10]

We have to isolate b using inverse operations.

5a(b - c) = d
Simplify using Distributive Property.
5ab - 5ac = d
Add 5ac to both sides.
5ab = d + 5ac
Divide both sides by 5a.
b = 5ac + d / 5a

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3 years ago