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aksik [14]
2 years ago
12

Daniel buys a block of clay for an art project. The block is shaped like a cube with edges lengths of 10 inches. Daniel decides

to cut the block of clay into two pieces. He places a wire across the diagonal of one face of the cube. Then he pulls the wire straight back to create two congruent chunks of clay.
Daniel wants to keep one chunk of the clay for later use. To keep that chunk from drying out, he wants to place a piece of plastic sheeting on the surface he exposed when he cut the cube. describe this newly exposed two-dimensional cross-section, and find its area. round your answer to the nearest whole square inch
Mathematics
1 answer:
Andre45 [30]2 years ago
5 0

Answer:

=14.92...

14 the maximum number of spheres that Daniel can make from the chunk of clay.

.

Step-by-step explanation:

10^3=1000 in^3

1000/2=500 vol of one congruent chunk.

4/3 * pi * r^3 = vol of a sphere

500/(4/3 * pi * 2^3)

=14.92...

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The distance from the center of a carousel to the
anzhelika [568]

Answer:

\fbox{\begin{minipage}{3.5em}338 (ft)\end{minipage}}

Step-by-step explanation:

The problem could be simplified as following:

Given:

The radius of a circle O is 26 feet.

Solve for:

The length of arc on circle O that measures 13 radians

Solution:

Step 1: Let's find out the correct formula to apply:

The formula to calculate the length of an arc measuring x radians on a circle with radius r feet is:

L = r*x

Step 2: Let's put the data into formula to work out the length L of arc:

L = 26*13 = 338 (ft)

=>  The distance that a horse does on the outer edge travel  when the carousel rotates through 13 radians: L = 338 (ft)

Hope this helps!

:)

7 0
3 years ago
(x - 2)² + 6x – 7 Which of the following is equivalent to
podryga [215]

Answer:

x^2 +2x-3

Step-by-step explanation:

Given

(x - 2)\² + 6x - 7

Required

The equivalent

We have:

(x - 2)\² + 6x - 7

Expand

(x - 2)\² + 6x - 7 = x^2 -2x-2x +4 +6x - 7

Collect like terms

(x - 2)\² + 6x - 7 = x^2 -2x-2x+6x +4  - 7

(x - 2)\² + 6x - 7 = x^2 +2x-3

Hence, the equivalent is:

x^2 +2x-3

6 0
3 years ago
[y = x + 4][3x -2y =-7] substitution
tia_tia [17]

Answer:

x=15, y=19

Step-by-step explanation:

3 0
3 years ago
Find an equation perpendicular to x=1 and passing through (8,-9)
valina [46]

Answer:

y=-9

Step-by-step explanation:

We want to find an equation of a line that's perpendicular to x=1 that also passes through the point (8,-9).

Note that x=1 is a <em>vertical line </em>since x is 1 no matter what y is.

This means that if our new line is perpendicular to the old, then it must be a <em>horizontal line</em>.

So, since we have a horizontal line, then our equation must be our y-value of our point.

Our y-coordinate of our point (8,-9) is -9.

Therefore, our equation is:

y=-9

And this is in standard form.

And we're done!

3 0
3 years ago
teddy cuts grass for $20 a grass and garvin cuts grass for 18 a lawn. their total combined revenue was $348. teddy made $132 mor
Katarina [22]
The x= the cut for the grass
The y=garvin cuts

348=20x+18y
132=18+x

4 0
2 years ago
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