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3 years ago

Which ordered pair is a solution of the equation? 3x-y=13

Mathematics

1 answer:

Papessa [141]3 years ago

5 0

Answer:

$(\frac{13}{3},0)$ and

Step-by-step explanation:

$3x-y=13 \\ \\ -y=-3x+13 \\ \\ y =3x-13$

Any point on this line will do.

For this example, let's find the x and y intercepts by plugging in 0 for x and y.

You'll get $(\frac{13}{3},0)$ and $(0,-13)$ $(0,-13)$

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Find the measure of each interior angle and each exterior angle of the indicated regular polygon. 25-gon

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Each exterior angle of a regular 25-gon = 360/25 = 14.4 deg. and each interior angle= 165.6 deg.

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Answer
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Scrat [10]

Answer:

V ≈ 16.333 in³

Step-by-step explanation:

Formula of the Volume of a Sphere: $\frac{4}{3} \pi r^{2}$

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3 years ago

(a) use the pythagorean theorem to determine the length of the unknown side of the triangle, (b) determine the perimeter of the

Kisachek [45]

Answer:

(A) 40 km

(B) 90 km

Step-by-step explanation:

To find the missing side of this triangle, let's use the Pythagorean theorem.

$a^2+b^2=c^2$ , assuming that a and b are legs, and c is the hypotenuse.

Assuming the 9km side is a, we need to find the value of b, so we can substitute into the equation.

$9^2+b^2=41^2\\81+b^2=1681\\b^2=1681-81\\b^2=1600\\\\b = \sqrt{1600} \\b=40$

So, the length of the missing side is 40. Now that we know this piece of information, we can find the perimeter and area of the triangle.

The perimeter is all the sides added together, so $41+9+40 = 90$ km is the perimeter.

The area are the two legs multiplied divided by 2.

So,

$\frac{9\cdot40}{2} \\\\\frac{360}{2}\\\\180$

So the area of this triangle is 180 cm²

I hope this helped!

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4 years ago

What is the length of the hypotenuse? If necessary, round to the nearest tenth.

Diano4ka-milaya [45]

Answer:

The value of c is 2√2 or about 2.8.

Step-by-step explanation:

We can find the hypotenuse (c) with the help of Pythagoras Theorem.

=> c² = 2² + 2²
=> c² = 4 + 4
=> c² = 8
=> c = √8
=> c = √2 x 2 x 2
=> c = 2√2

If you want further simplification, seek for explanation below.

=> c = 2√2
=> c = 2 x √2
=> c = 2 x 1.414
=> c = 2.828 = 2.8 (Estimated)

Hence, the value of c is 2√2 or about 2.8.

Hoped this helped.

$BrainiacUser1357$

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3 years ago

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