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mina [271]
3 years ago
11

Which line is parallel to 5x=y-12

Mathematics
1 answer:
sattari [20]3 years ago
8 0
But equation in y intercept form.. what ever is in front of the x will be the slope for that equations line
5x=y-12
5x+12=y or y=5x+12
Slope is 5
If any line is parallel to this one it must have slope of 5
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What is the equation of the line that passes through the points (2,-1) and (6,1)?
Ede4ka [16]

The answer is y=1/2x-2

3 0
3 years ago
The graphic shows the driving distance between certain cities in Florida
poizon [28]

Answer:

Jacksonville

Step-by-step explanation:

7 0
3 years ago
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
Help pls I have asked everyone one but no one knows
uranmaximum [27]
Add all sides. subtract from your numbers of degrees that’s your answer
8 0
3 years ago
A college student organization wants to start a nightclub for students under the age of 21. To assess support for this proposal,
eduard

Answer:

a) Sample size = 822

b) Margin of error = 0.03407          

Step-by-step explanation:

We are given the following in the question:

p = 74% = 0.74

a) Sample size is required to obtain margin of error of 0.03

Formula:

\text{Margin of error} = z_{\text{statistic}}\times \sqrt{\dfrac{p(1-p)}{n}}}

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

Putting values, we get,

0.03 = 1.96\times \sqrt{\dfrac{0.74(1-0.74)}{n}}\\\\n = (\dfrac{1.96}{0.03})^2(0.74)(1-0.74)\\\\n = 821.24 \approx 822

Thus, the sample size must be approximately 822  to obtain a 95% confidence interval with an approximate margin of error of 0.03

b) Margin of error for the 95% confidence interval

p = 54% = 0.54

Formula:

\text{Margin of error} = z_{\text{statistic}}\times \sqrt{\dfrac{p(1-p)}{n}}}

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

Putting values, we get,

\text{Margin of error} = 1.96\times \sqrt{\dfrac{0.54(1-0.54)}{822}}\\\\=0.03407

The margin of error now will be 0.03407.

5 0
4 years ago
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