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Mathematics

1 answer:

Vesna [10]2 years ago

4 0

$C. \: 8 \sqrt{3}$ ✅

Step-by-step explanation:

$\sqrt{192} \\ = \sqrt{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 3} \\ = \sqrt{ {2}^{2} \times {2}^{2} \times {2}^{2} \times 3} \\ = \sqrt{ {8}^{2} \times 3 } \\ = 8\sqrt{3}$

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Which ordered pair is included in the solution set to the following system?

Nataliya [291]

The ordered pair is included in the solution set to the following system is (0,2)

<h3>Set of inequalities</h3>

Given the set of inequalities

y > x2 + 1

y < x2 – x + 1

Equate both expressions to have:

x^2 + 1 = x^2 - x +1

1 = -x + 1

x = 0

Substitute x = 0 into any of the function

y = x^2 + 1

y = 1

This shows that the ordered pair is included in the solution set to the following system is (0,2)

Learn more on inequality here: brainly.com/question/24372553

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7 0

1 year ago

After some snacks at McDonalds at Lower Bonifacio Street, Kristina drove 145 meters towards the three-way junction and turns rig

vaieri [72.5K]

Answer:

125 m

Step-by-step explanation:

The path of Kristina is in the shape of a right triangle where, the perpendicular is the path from the McDonalds to the three-way junction which is 145 m and the shortest distance between the McDonalds and the church is 191.442 m.

By Pythagoras theorem

$145^2+x^2=191.442^2\\\Rightarrow x=\sqrt{191.442^2-145^2}\\\Rightarrow x=125\ \text{m}$