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olga2289 [7]
3 years ago
14

Your friend is looking at laptops for college, and is comparing the different

Mathematics
1 answer:
Dominik [7]3 years ago
7 0

Answer:

B. h = 7.4 inches

Step-by-step explanation:

height of the laptop screen = h

d = 12.1 in.

w = 9.6 in.

We are given the formula,

d = √(w² + h²)

Plug in the values and solve for h

12.1 = √(9.6² + h²)

Square both sides

12.1² = 9.6² + h²

146.41 = 92.16 + h²

146.41 - 92.16 = h²

54.25 = h²

√54.25 = h

7.4 = h (nearest tenth)

h = 7.4 inches

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State if the triangle is congruent
melisa1 [442]

Answer:

Step-by-step explanation:

m∠ JHI + m∠GHJ = 180    { linear pair}

m∠JHI + 90 = 180

m∠JHI = 180 -90 = 90

In ΔGHJ and ΔJHI,

          GJ = IJ   { given}

         JH = JH    {common}

 m∠ JHI = m∠GHJ  { above proved}

ΔGHJ  ≅ ΔJHI     { Angle Side Side congruence}

8 0
3 years ago
A phycologist is interested in determining the proportion of algae samples from a local rivulet that belong to a particular phyl
LuckyWell [14K]

Answer:

A sample of 16577 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

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The margin of error is of:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

99% confidence level

So \alpha = 0.01, z is the value of Z that has a p-value of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

She wants to estimate the proportion using a 99% confidence interval with a margin of error of at most 0.01. How large a sample size would be required?

We have no estimation for the proportion, and thus we use \pi = 0.5, which is when the largest sample size will be needed.

The sample size is n for which M = 0.01. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.01 = 2.575\sqrt{\frac{0.5*0.5}{n}}

0.01\sqrt{n} = 2.575*0.5

\sqrt{n} = \frac{2.575*0.5}{0.01}

(\sqrt{n})^2 = (\frac{2.575*0.5}{0.01})^2

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Rounding up:

A sample of 16577 is required.

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3 years ago
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DaniilM [7]

Answer:

Step-by-step explanation:

(x+y) (x+y)

=x^2+xy+yx+y^2

=x^2+2xy+y^2

Hope it helps

pls mark as Brainliest

4 0
3 years ago
Read 2 more answers
Which questions can be answered by finding the surface area? Check all that apply.
True [87]

Answer:

Step-by-step explanation:

Surface area is pretty synonymous with area.

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Paint is measured in volume, so not surface area

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Since its just the walls its not total surface area, but surface area of the walls.

How much water will it take to fill a rectangular container?

water is measured in volume, especially when wanting to fill something.

How much topsoil can a gardener place in his wheelbarrow?

Wants to know how much topsoil is needed to FILL the wheelbarrow, filling is volume.  So not surface area.

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3 0
3 years ago
Which pair of triangles can be proven by congruent SAS? HELP ASAP
Y_Kistochka [10]
The first one since the given measurements/guide is Side, Angle, Side
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