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xenn [34]
3 years ago
14

(x + 5)2 + (y - 7)2 = 36, its radius is

Mathematics
1 answer:
o-na [289]3 years ago
3 0
The answer would be 6

Steps: The equation of a circle is (x – h)² <span>+ (y – k)</span>²<span> = r</span>²; since we are trying to find the radius we are going to focus on the r². Now if you look the equation has the 36 filled in as the r² so r² = 36; we now have to isolate the r to get the radius, how do we get the radius? We Square root the r² and 36. After we get r = 6, The radius is 6 units
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Luiza is jumping on a trampoline.
lyudmila [28]

Answer:

The second time when Luiza reaches a height of 1.2 m = 2 08 s

Step-by-step explanation:

Complete Question

Luiza is jumping on a trampoline. Ht models her distance above the ground (in m) t seconds after she starts jumping. Here, the angle is entered in radians.

H(t) = -0.6 cos (2pi/2.5)t + 1.5.

What is the second time when Luiza reaches a height of 1.2 m? Round your final answer to the nearest hundredth of a second.

Solution

Luiza is jumping on trampolines and her height above the levelled ground at any time, t, is given as

H(t) = -0.6cos⁡(2π/2.5)t + 1.5

What is t when H = 1.2 m

1.2 = -0.6cos⁡(2π/2.5)t + 1.5

0.6cos⁡(2π/2.5)t = 1.2 - 1.5 = -0.3

Cos (2π/2.5)t = (0.3/0.6) = 0.5

Note that in radians,

Cos (π/3) = 0.5

This is the first time, the second time that cos θ = 0.5 is in the fourth quadrant,

Cos (5π/3) = 0.5

So,

Cos (2π/2.5)t = Cos (5π/3)

(2π/2.5)t = (5π/3)

(2/2.5) × t = (5/3)

t = (5/3) × (2.5/2) = 2.0833333 = 2.08 s to the neareast hundredth of a second.

Hope this Helps!!!

4 0
3 years ago
What is the solution to the inequality below? will give brainliest for correct answer
Mumz [18]

Answer: A

Step-by-step explanation:

7 0
3 years ago
PLEASE WHAT IS THE AREA OF THIS HELP ME PLEASE
BARSIC [14]

Answer:

it should be 14,580 m^2

(the ^2 means squared btw)

7 0
3 years ago
Sara decides to bottle 1/3 of her milk . She pours the milk evenly among 5 bottles. What fraction of her milk will she put in ea
vazorg [7]

0.066666(ect)

i think

4 0
3 years ago
Read 2 more answers
PLEASE HELP! Neil has been running a tutoring business since 2005. He charges a monthly fee for weekly tutoring sessions and a p
Alina [70]

Answer:

Step-by-step explanation:

A. Rate of change (or slope) is $50

The initial tutoring fee starts out at $1200 in 2005

How do you know? Each year the cost goes up $50

 2005 = $1200

    2006 = $1250

    2007 = $1300

    2008 = $1350

B.  y=50x+b

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3 years ago
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