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zaharov [31]
3 years ago
14

Given below are the coordinates of the vertices of a triangle. Find the lengths of the sides of the triangle, then click to iden

tify the triangle as scalene, isosceles, or equilateral. R(1, 3), S(3, 1), T(5, 2)
Mathematics
1 answer:
Vsevolod [243]3 years ago
7 0
The length of a segment, given the extremities, is:
√[(x₂ - x₁)² + (y₂ - y₁)²]

Therefore:

RS = √[(3-1)² + (1-3)²] = √(4+4) = √8

RT = √[(5-1)² + (2-3)²] = √(16+1) = √17

ST = √[(5-3)² + (2-1)²] = √(4+1) = √5

Since the lengths are all different, the triangle is scalene.

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When a person is breathing normally the amount of air in their lawns varies sinusoidally. When full Karen’s lungs hold 2.8 L of
makkiz [27]

Answer:

A(t) = 2.2\sin \frac{(t - 2)\pi }{6} + 0.6

Step-by-step explanation:

Let the function of quantity in the lung of air be A(t)

So A(t) \alpha \sin (\frac{t - \alpha }{k} )

so, A(t) = Amax sin t + b

A(t) = 2.8t⇒ max

A(t) = 0.6t ⇒ min

max value of A(t) occur when sin(t) = 1

and min value of A(t) = 0

So b = 0.6

and A(max) = 2.2

A(t) = 2.2\sin \frac{(t)}{k} + 0.6

at t = 2 sec volume of a is 0.6

So function reduce to

A(t) = 2.2\sin \frac{(t - 2)}{k} + 0.6

and t = 5 max value of volume is represent

so,

\sin \frac{t - \alpha }{k} = 1

\frac{t - 2}{k} = \frac{\pi }{2} when t = 5

\frac{6}{\pi } = k

so the equation becomes

A(t) = 2.2\sin \frac{(t - 2)\pi }{6} + 0.6

7 0
3 years ago
Choose the equations that are not linear equations. - x - y = 2, x^2 + y = 4, x/2 - y^3 = 1, x = 5
tekilochka [14]

Answer:

  • x^2 + y = 4
  • x/2 - y^3 = 1

Step-by-step explanation:

Any equation with a product of variables, or with a variable in an exponent or denominator, is <em>not a linear equation</em>. Here, "product of variables" includes powers and roots—any expression with an exponent other than 1, or a total of exponents other than 1.

7 0
3 years ago
The sum of the lengths of the sides of triangle ABC is 25 in . The lengths of sides overline AB and overline BC are 9 inches and
s2008m [1.1K]

Answer:

AC = 8 The classification is isosceles

Step-by-step explanation:

6 0
3 years ago
Captain Emily has a ship, the H.M.S Crimson Lynx. The ship is four furlongs from the dread pirate Ashley and her merciless band
aalyn [17]

Answer:

1/2

Step-by-step explanation:

Since the Captain shoots first, the probability of a hit on the pirate ship is 1/2. In the event of a hit, the pirate will always miss (p(miss|hit)=1), so ...

... p(hit, miss) = 1/2

7 0
3 years ago
Which expression is equal to<br> 10<br> V50<br> ?<br> O 5<br> O v2<br> 25<br> 22
Nataliya [291]

Answer:

B. √2

Step-by-step explanation:

First, rationalise the fraction so that the denominator is a whole number.

10 *  √50

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

√50 * √50

 10 √50

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

    50

√50 can be simplified as 5√2

10 *5√2 = 50√2

50√2

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

 50

- The 50's cancel out and you are left with √2

4 0
3 years ago
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