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3 years ago

Marco made of rectangular prism using 1/2 m cubes the rectangular prism has a volume of 5 m³ how many cubes did Marco use

1 answer:

Nookie1986 [14]3 years ago

8 0

Ok so
1 find volume of 1 cube
2. find total volume of rectangular prism

1/2 m cubes
volume=side^3
side=1/2m (I guess since that was what was given)
v=1/2^3=1/8

so
volume of 1 cube times number of cubes=total volume
1/8m^3 times number of cubes=5m^3
multiply both siides by 8/1 m^3 to clea fraction (since 8/1 times 1/8=8/8=1)
number of cubes=40

needs 40 cubes

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3 years ago

Consider the graph of the line y = x – 4 and the point (−4, 2).

Hitman42 [59]

Answer:

a. The slope of a line parallel to the given line is 1

b. A point on the line parallel to the given line, passing through (−4, 2), is (1,7)

c. The slope of the line perpendicular to the given line is -1

d. A point on the line perpendicular to the given line, passing through (−4, 2), is (3,-5)

Step-by-step explanation:

The equation of the line in Slope-intercept form is:

$y=mx+b$

Where m is the slope and b is the y-intercept.

a. For the line $y = x - 4$

You can identify that:

$m=1$

By definition, two lines are parallel if they have the same slope. Then, the slope of a line parallel to the given line is:

$m=1$

b. The equation of the line in Point-slope form is:

$y -y_1 = m(x - x_1)$

Where m is the slope and ( $x_1,y_1$ ) is a point of the line.

Given the point (-4,2), substitute this point and the slope of the line into the equation:

$y -2 = (x +4)$

Give a value to "x", substitute it into this equation and solve for "y":

For $x=1$ :

$y -2 = (1 +4)$

$y= 5+2$

$y= 7$

Then, you get the point (1,7)

c. The slopes of perpendicular lines are negative reciprocals, then the slope of a line perpendicular to the given line is:

$m=-\frac{1}{1}\\\\m=-1$

d. Given the point (-4,2), substitute this point and the slope of the line into the equation:

$y -2 = -1(x +4)$

$y -2 = -(x +4)$

Give a value to "x", substitute it into this equation and solve for "y":

For $x=3$ :

$y -2 = -(3 +4)$

$y= -7+2$

$y= -5$

Then, you get the point (3,-5)

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3 years ago

Part D:

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Answer:

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4 years ago

Pls help me guys, I’d really appreciate it

trapecia [35]

Answer:

∠ PQR = 70°

Step-by-step explanation:

The tangent- tangent angle PQR is half the difference of the intercepted arcs.

minor arc PR = 360° - 250° = 110°

Then

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3 years ago