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3 years ago

What is the value of x?

Mathematics

1 answer:

Yanka [14]3 years ago

5 0

Answer:

x = 98

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles.

x = 53+ 45

x = 98

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Answer:

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Step-by-step explanation:

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4 years ago

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8) You are given the following digits to create 3-digit numbers:

NISA [10]

Answer:

a) 216

b) 120

Step-by-step explanation:

a) 6×6×6 = 216

(6 options for each position)

b) 6C3 × 3! = 120

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3 years ago

Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in t

Tresset [83]

Answer: The volume of largest rectangular box is 4.5 units.

Step-by-step explanation:

Since we have given that

Volume = $xyz$

with subject to $x+2y+3z=9$

So, let $z=\dfrac{9-x-2y}{3}$

So, Volume becomes,

$V=xyz\\\\V=xy(\dfrac{9-x-2y}{3})\\\\V=\dfrac{9xy-x^2y-2xy^2}{3}$

Partially derivative wrt x and y we get that

$9-2x-2y=0\implies 2x+2y=9\\\\and\\\\9-x-4y=0\implies x+4y=9$

By solving these two equations, we get that

$x=3,y=\dfrac{3}{2}$

So, $z=\dfrac{9-x-2y}{3}=\dfrac{9-3-3}{3}=\dfrac{3}{3}=1$

So, Volume of largest rectangular box would be

$xyz=3\times \dfrac{3}{2}\times 1=\dfrac{9}{2}=4.5$

Hence, the volume of largest rectangular box is 4.5 units.

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4 years ago

How many hours did they travel during the first two days

bearhunter [10]

They travelled 3 and 5/6 miles, then drove 2 and 2/6 more the next day. To find the total, you must add them up. So...
$3 \frac{5}{6} + 2 \frac{2}{6} = 5 + \frac{7}{6} = 6 \frac{1}{6}$
They travelled for 6 and 1/6 hours, or 6 hours and 10 minutes.

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3 years ago

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makvit [3.9K]

Answer:

(-2,-5)

Step-by-step explanation:

Because his house is in the same quadrant as the city park (quadrant 3) the answer's coordinates will have x=a negative number and y= a negative number. So, the answer will be (-2,-5).

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3 years ago

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