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3 years ago

A fossil is 254 millimeters long. How many meters long is the fossil? Enter your answer, as a decimal, in the box.

1 answer:

6 0

1. In the metric system of the SI unit meters, 1 meter is equal to 1,000 millimeter. So, the conversion solution is as follows:

254 mm*(1 m/1,000 mm) = 0.254 m

2. The perimeter of a rectangle is equal to

P = 2L + 2W
where
L is the length
W is the width

Since the l<span>ength of a rectangle is one unit shorter than one-sixth of the width, x, the equation would be
W=x
L = 1/6x - 1

Substituting,
P = 2(1/6x - 1) + 2x
P = 1/3x - 2 + 2x
P = 7/3x - 2

3. The given data is 2 parts per second. To determine the parts per shift, we apply the dimensional analysis approach. The solution is as follows:

(2 parts/second)*(3,600 s/1 h)*(10 h/shift) = 72,000 parts per shift</span>

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Lisa makes a cherry pie and an apple pie. She cuts the cherry pie into six equal wedges and she cuts the apple pie into eight eq

ale4655 [162]

Both the pies at first have 360* as their initial complete angles.

The Cherry Pie is cut into 6 parts equal and the angular width of each piece will be 360/6=60*...therefore, each piece is 60*.

the Apple Pie is cut into 8 parts and the angle of each piece would be 360/8=45*...therefore, each piece is 45*.

Now the angular difference between the pieces of the 2 pies is 60*-45* = 15*.

Therefore the Cherry pie's piece is 15* greater than the Apple pie's piece.

5 0

3 years ago

Read 2 more answers

Which of the following graphs best represents the solution to the pair of equations below? y = −x + 6 y = 2x − 3 A coordinate pl

Lera25 [3.4K]

The lines are

i) y=-x+6
ii) y=2x-3

The solution of the system of equations is found by equalizing the 2 equations:

-x+6=2x-3

-2x-x=-6-3

-3x=-9

x=-9/(-3)=3

substitute x=3 in either i) or ii):

i) y=-3+6=3
ii) y=2(3)-3=6-3=3

(the result is the same, so checking one is enough)

This means that the point (3, 3) is a point which is in both lines, so a solution to the system.

In graphs, this means that the lines intersect at (3, 3) ONLY

Answer: The graph where the lines intersect at (3, 3)

3 0

3 years ago

Which of the following terms correctly describe the figure given below? Check all that apply

Evgesh-ka [11]

Answer:

one of the answers is E,F

Step-by-step explanation:

I know this becuase that is a pyramid right there it is an solid but no prims or anything else on there

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2 years ago

Jack bought 4 umbrellas each costing $17 he bought 6 hats each costing $8 how much did jack spend in all

photoshop1234 [79]

116 dollars 4x17 6x8 add em together

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3 years ago

A rectangular box has a square base. The combined length of a side of the square base, and the height is 20 in. Let x be the len

aniked [119]

Answer:

a. V = (20-x) $x^{2}$ $in^{3}$

b . 1185.185 $in^{3}$

Step-by-step explanation:

Given that:

The height: 20 - x (in )
Let x be the length of a side of the base of the box (x>0)

a. Write a polynomial function in factored form modeling the volume V of the box.

As we know that, this is a rectangular box has a square base so the Volume of it is:

V = h * $x^{2}$ $in^{3}$

<=> V = (20-x) $x^{2}$ $in^{3}$

b. What is the maximum possible volume of the box?

To maximum the volume of it, we need to use first derivative of the volume.

<=> dV / Dx = -3 $x^{2}$ + 40x

Let dV / Dx = 0, we have:

-3 $x^{2}$ + 40x = 0

<=> x = 40/3

=>the height h = 20/3

So the maximum possible volume of the box is:

V = 20/3 * 40/3 *40/3

= 1185.185 $in^{3}$

7 0

2 years ago