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natima [27]
3 years ago
13

What is the length of s

Mathematics
2 answers:
DIA [1.3K]3 years ago
8 0
You can either solve this with the Pythagorean theorem or the special triangles rule which can be applied to (degrees —>) 45/45/90 or 30/60/90 triangles.

With the Pythagorean theorem: a^2 + b^2 = c^2 is used with the numbers accordingly- 5 and S are legs and can be either a or b while √50 being the hypotenuse can only be c

(5)^2 + (s)^2 =(√50)^2

25 + (s)^2 = 50

√ ((s)^2) = √ (50 - 25)

s = 5

The special Triangles rule actually states that a shortcut can be applied to the corresponding sides (look at picture). S is directly across from a 45 degree angle (and so is 5!)

If a = 5, than s must also = 5.

Damm [24]3 years ago
3 0

5

Step-by-step explanation:

You can use Tan(45)=S/5 to solve for S. Tan basically means Opposite/Adjacent. So the opposite side is S and the adjacent side is S. You plug tan(45) into your calc and then multiply it by 5.

Proportion Below

Tan(45)/1 = S/5

You cross multiply to get Tan(45)*5=S

S would be 5

To check you can use the Pythagorean theorem a^2+b^2=c^2

5^2+5^2=

{5}^{2}  +  {5}^{2}  =  \sqrt{50}

25+25=50

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A car traveled 180 miles at a constant rate. Write an equation that would
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Answer:

180/t = r

Step-by-step explanation:

In this question, we would have to write an equation that represents the scenario given.

We know that the car traveled 180 miles at a constant rate.

We would use the y = mx + b format for the equation, but replacing the variables with "r" and "t"

We know that 180 will be our y-variable, since that would be the base of the equation:

180 = ???

And to find how long/fast it will take the car, we would need to multiply the rate of speed "r" and time "t" in order to get our distance.

Plug it into the equation:

180 = rt

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You would simply solve it as:

180/t = r

7 0
3 years ago
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Step-by-step explanation:

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A model rocket is launched with an initial velocity of 200 ft per second. The height h, in feet, of the rocket t seconds after t
Solnce55 [7]

Answer:

2.10 s, 10.40 s.

Step-by-step explanation:

We know that the height of the rocket is given by the function:

h=-16t^2+200t

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The last is a quadratic equation, which can be put in the form at^2+bt+c=0 and solved applying the formula:

t=\frac{-b+-\sqrt{b^2-4ac} }{2a}

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Then,

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t_2=\frac{200+\sqrt{200^2-4*16*350} }{2*16}=10.40

According to the equation, that are the times for which the height will be 350 ft; that is because the rocket is going to ascend and then to fail again to the ground.

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3 years ago
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Answer:

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Step-by-step explanation:

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2 years ago
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baherus [9]

Answer:

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Step-by-step explanation:

The least common denominator will be 8x^2, the product of 2 and x to the highest of their powers in either of the denominators.

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2 years ago
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