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Natasha_Volkova [10]
3 years ago
9

Renee is creating a diagram to prove that a certain triangle is a right triangle. In her diagram, she uses three white quadrilat

erals that are squares. Which diagram could be the one that Renee is creating

Mathematics
1 answer:
posledela3 years ago
7 0

Answer:

Option D

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. Types of triangles are right angled triangle, scalene triangle, equilateral triangle and isosceles triangle.

A right angled triangle is a triangle in which one of the angles is 90°. The side opposite the 90° is known as the hypotenuse while the remaining sides is known as the leg. Let us assume a right triangle with legs of a, b and a hypotenuse of c. Then using Pythagoras theorem:

c² = a² + b²

From the options, option d is the correct option.

For option D, the hypotenuse is c and one leg is a. Let x represent the second leg. Hence:

c² = a² + x²

x² = c² - a²

x = √(c² - a²)

Therefore the other leg would be √(c² - a²)

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For the following system, determine if a steady state exists and give the steady state value. The population of a colony of squi
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Answer:

Option A)

\displaystyle\lim_{t\to\infty}~p(t) = k

Step-by-step explanation:

We are given the following on the question:

p(t) =\displaystyle\frac{4000}{4+e^{-0.02t}}

where p(t) is the population of a colony.

For steady state solution we evaluate:

\displaystyle\lim_{t\to\infty}~p(t)\\\\= \lim_{x\to\infty} \frac{4000}{4+e^{-0.02t}}\\\\=\frac{4000}{4+e^{-\infty}}\\\\=\frac{4000}{4}\\\\= 1000

Thus, the steady state solution is a constant, k = 1000.

Thus, the correct answer is

Option A)

\displaystyle\lim_{t\to\infty}~p(t) = k

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3 years ago
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Whitepunk [10]
They can line up every 10 yards because there are 120 yard on a football field
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3 0
3 years ago
The slope of a line is 1, and the y-intercept is -1. What is the equation of the line written in slope-intercept form?
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The slope-intercept form is:
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Sheriff raises is 2 ft wide 6 ft long 2 ft deep what is the volume of her freezer​
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Answer:24sq.ft.

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6×2=12

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Answer:

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Step-by-step explanation:

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3 years ago
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