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Fofino [41]
3 years ago
12

Im not sure where to start with this one...​

Mathematics
1 answer:
Nina [5.8K]3 years ago
3 0
The volume of a cube is side length cubed (s^3)
So if you know the volume then take the cube root of 1/512... which is 1/8

So each side of the cube is 1/8.

There are 6 congruent sides on a cube (picture a “dice”). Do the area of each side would be (1/8)(1/8)= 1/64 then multiply that area by 6 and reduce ... you get 6/64 = 3/32 for the surface area
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Which equation represents a linear function that has a slope of 4/5<br> and a y-intercept of –6?
vredina [299]

Answer:

\large\boxed{y=\dfrac{4}{5}x-6}

Step-by-step explanation:

The slope-intercept form of equation of a linear function:

y=mx+b

m - slope

b - y-intercept

We have the slope m = 4/5 and the y-intercept b = -6. Substitute:

y=\dfrac{4}{5}x-6

3 0
3 years ago
Read 2 more answers
Marris decides to bake his parents a cookie in the shape of a regular dodecagon (12‑gon) for their 12-day anniversary.
allochka39001 [22]

Answer:

The answer to each question is:

  • A.) 403.2 cm^{2}
  • B.) 100. 8 cm^{2}

Step-by-step explanation:

A.) To obtain the area of the dodecagon, you can use the next formula:

  • Area of a dodecagon = 6 * apothem * edge

In the exercise, we have the edge (6 cm), but, to find the apothem of a dodecagon, that is the distance between the center of the polygon, and the middle point of each side, you can use the next formula:

  • Apothem = Edge * \frac{2+\sqrt{3}}{2}

If we replace the value of the edge, we obtain:

  • Apothem = 6 cm * \frac{2+\sqrt{3}}{2}
  • Apothem = 11.2 cm (approximately).

With this data, we can find the area:

  • Area of a dodecagon = 6 * apothem * edge
  • Area of a dodecagon = 6 * 11.2 cm * 6 cm
  • Area of a dodecagon = 403.2 cm^{2}

Then,<u> the area of the dodecagon is 403.2 </u>cm^{2}<u> approximately</u>.

B.) As the area obtained is for 12 pieces, when the parents ate 9 pieces, just left 3 pieces, with these values you can make a rule of three.

If:

  • 12 pieces = 403.2 cm^{2}
  • 3 pieces = X

Then:

  • X = (3 * 403.2 cm^{2}) / 12
  • X = 1209.6 cm^{2} / 12
  • X = 100. 8 cm^{2}

In this form, <u>when the cookie has 3 pieces, its area is 100. 8 </u>cm^{2}<u> approximately</u>.

5 0
3 years ago
Find the surface area of the prism. Enter your answer in the box.<br> 12 m<br> 3 m<br> 6 m
yarga [219]

Answer:

Step-by-step explanation:Answer:

l = 3 m

w = 6 m

h = 12 m

d = 13.7477 m

S = 252 m2

V = 216 m3

5 0
3 years ago
Read 2 more answers
A recipe from Sally’s "Chocoholic’s Cookbook" requires 70\frac{1}{6} grams of chocolate for each chocolate fudge cake. How many
erik [133]

Answer:

842 grams

Step-by-step explanation:

70\frac{1}{6} =\frac{421}{6}

\frac{421}{6} *12\\\\842

One cake consists of 421/6 grams of chocolate.

Since Sally wants to give 1 cake to 12 friends, we multiply 421/6 and 12.

To make 12 cakes, she needs 842 grams of chocolate.

3 0
3 years ago
7.6.35 Question Help A pilot can travel 400 miles with the wind in the same amount of time as 352 miles against the wind. Find t
Law Incorporation [45]

9514 1404 393

Answer:

  21 miles per hour

Step-by-step explanation:

Let w represent the wind speed. Then the travel time is ...

  400/(329 +w) = 352/(329 -w)

  400(329 -w) = 352(329 +w)

  (352+400)w = 329(400 -352)

  w = (400 -352)/(400 +352)·329 = 48/752·329 = 21

The wind speed is 21 miles per hour.

5 0
2 years ago
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