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nlexa [21]
4 years ago
15

Please answer this correctly

Mathematics
1 answer:
notka56 [123]4 years ago
5 0

Answer:

Option 1

Step-by-step explanation:

The temperature was -11 degrees Fahrenheit in Chicago. In Cheyenne, it was 11 degrees Fahrenheit warmer than Chicago's temperature.

-11 + 11 = 0

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PLEASE HELP ME I WILL CHOOSE BRAINLIEST!!!!
kakasveta [241]

Answer:

Exact height = 8*sqrt(3) mm

Approximate height = 13.856 mm

=============================================================

Explanation:

If you do a vertical cross section of the cylinder, then the 3D shape will flatten into a rectangle as shown in the diagram below.

After flattening the picture, I've added the points A through F

  • point A is the center of the sphere and cylinder
  • points B through E are the corner points where the cylinder touches the sphere
  • point F is at the same horizontal level as point A, and it's on the edge of the cylinder.

Those point labels will help solve the problem. We're told that the radius of the sphere is 8 mm. So that means segment AD = 8 mm.

Also, we know that FA = 4 mm because this is the radius of the cylinder.

Focus on triangle AFD. We need to find the height x (aka segment FD) of this triangle so we can then double it later to find the height of the cylinder. This in turn will determine the height of the bead.

------------------------------

As the hint suggests, we'll use the pythagorean theorem

a^2 + b^2 = c^2

b = sqrt(c^2 - a^2)

x = sqrt(8^2 - 4^2)

x = sqrt(48)

x = sqrt(16*3)

x = sqrt(16)*sqrt(3)

x = 4*sqrt(3)

This is the distance from D to F

The distance from D to E is twice that value, so DE = 2*(FD) = 2*4*sqrt(3) = 8*sqrt(3) is the exact height of the bead (since it's the exact height of the cylinder).

Side note: 8*sqrt(3) = 13.856 approximately.

8 0
3 years ago
Divide the following
kozerog [31]
Factor the numerator and denominator and cancel the common factors. 
The answer would be 1/4
5 0
3 years ago
Read 2 more answers
PLEASE HELP Oil was accidentally spilled into a swimming pool that is 25.0 m wide and 30.0 m long. If 0.50 quarts of oil is in t
Furkat [3]

1 quart is approximately 9.464 x 10⁻⁴ cubic meter, so the amount of oil that was spilled is about

0.50 qt = (0.50 qt) * (0.0009464 m³/qt) = 4.732 x 10⁻⁴ m³

The pool has a cross sectional area of (25.0 m) * (30.0 m) = 750 m² = 7.5 x 10² m².

Assuming the oil spreads completely across the surface of the pool, you can get its thickness by dividing the volume of oil by this cross sectional area.

(4.732 x 10⁻⁴ m³) / (7.5 x 10² m²) = 4.732/7.5 x 10⁻⁶ m ≈ 6.309 x 10⁻⁷ m

1 m is exactly 100 cm, so multiply this result by 100 = 10² to get a thickness of

6.309 x 10⁻⁷ m = (6.309 x 10⁻⁷ m) * (10² cm/m) = 6.309 x 10⁻⁵ cm

or 0.00006309 cm.

3 0
4 years ago
Find the value of a<br> in the parallelogram.
Dimas [21]

Answer:

<h2><u><em>a = 17°</em></u></h2>

Step-by-step explanation:

it is a parallelogram, the opposite angles are the same size

so

4a + 64 = 8a - 4

64 + 4 = 4a

68 = 4a

a = 68 : 4

a = 17

6 0
2 years ago
What percent of 80 is 2 and a half
Ivenika [448]

Answer:

3.13

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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