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Paladinen [302]
3 years ago
12

For each problem, find the missing value using the Pythagorean Theorem

Mathematics
1 answer:
aniked [119]3 years ago
3 0

Answer: \sqrt{66}

Step-by-step explanation:

The Pythagorean Theorem says that a^2 + b^2 = c^2  where a and b are the two legs.  

In this care leg 1 is 4 and leg two is the square root of 50. So we will square them to find c which is the hypotenuse.

4^2 + \sqrt{50} ^2  = C^2

16 +  50 = c^2

  66 = c^2

    c =\sqrt{66}  

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Solve the system using elimination.
yan [13]

Answer:

y=-3

Step-by-step explanation:

5x+7y=-31

(-) 5x-9y+17

-----------------

16y=-48

------------

16       16

y=-3

8 0
2 years ago
Suppose you are climbing a hill whose shape is given by the equation z = 1400 − 0.005x2 − 0.01y2, where x, y, and z are measured
Anarel [89]
Answer: You start to ascend

Explanation:

Since you are walking due south and the positive y-axis points north, the y-coordinate decreases.

Let 

y' = y-coordinate after walking due south
z' = z-coordinate (or the height) after walking due south

So, the point where you stand after walking due south has a coordinate of (100, y', z'). Moreover,

z' = 1,400 - 0.05(100)^2 - 0.01(y')^2
\\ \boxed{z' = 1350 - 0.01(y')^2}

Since the y-coordinate decreases after walking due south and z' = 1350 - 0.01(y')^2,

y'  \leq 120\\ \Rightarrow (y')^2 \leq 120^2 = 14,400\\ \Rightarrow -0.01(y')^2 \geq -0.01(14,400) = -144\\ \Rightarrow z' = 1,350 - 0.01(y')^2 \geq 1,350 - 0.01(14,400) = 1,206\\ \Rightarrow \boxed{z' \geq 1,206}

So, the height after walking due south exceeds 1,206 meters, which is the previous height before walking due south. Therefore, if you walk due south from point with coordinates (100, 120, 1206), you are ascending.
5 0
3 years ago
HELPP PLEASE AND GET POINTS
MArishka [77]

Answer:

112

Step-by-step explanation:

cause if you calculated it it will be 112.2222 so the closest thing is 112

3 0
3 years ago
after working out for just 8 minutes,ron has burned 56 calories. how many minutes must he work out if he wants to burn 392 calor
dangina [55]
Ron would have to work out 56 minutes to burn 392 calories
7 0
3 years ago
Read 2 more answers
Solve: 3n - 6 = -8(6 +5n)<br> and explain how to solve it
hjlf

Answer:

Step-by-step explanation:

First use distributive property: a(b + c) = a*b + a*c

3n - 6 = -8(6 + 5n)

3n - 6 = 6 * (-8) + 5n *(-8)

3n - 6 = -48 - 40n

Now add 40n to both sides

3n - 6 + 40n = -48 - 40n + 40n

43n - 6 = -48

Now add 6 to both sides

43n - 6 + 6 = -48 + 6

           43n = -42

               n = -42 /43

4 0
3 years ago
Read 2 more answers
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