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Gre4nikov [31]
3 years ago
11

Can you please help me

Mathematics
1 answer:
Ymorist [56]3 years ago
3 0

Answer:

there is the answer. ❤ hope it helps

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If the perimiter of a sector is 4 times its radius, then the radian measure of the ceenral angel of the sector is
BigorU [14]
The perimeter of a sector includes two segments that are each equal to the radius, and the arc length. For your sector, the arc length is found as
   perimeter = 4r = r + r + arc-length
   2r = arc-length

Now we also know that arc-length is related to the central angle (in radians) by
   arc-length = r*central-angle
   2r = r*central-angle
   2 = central-angle

The measure of the central angle of the sector is 2 radians.
6 0
3 years ago
A large open meadow near your city is shrinking in size because developers have started building new homes there.
valentinak56 [21]

Answer:

    t=-10\log 0.32

Explanation:

<u>Equation:</u>

         A=1,562.5\times 10^{(-0.1t)}

This is a decaying exponential function, because the exponent is negative.

Then, the larger the value of t (number of months), the smaller A (the number of hectares).

The factor 1,562.5 is the initial number of hecares, when t = 0.

You must find the value of t when A equals 500, thus solve the equation:

     500=1,562.5\times 10^{(-0.1t)

Divide both sides by 1,562.5

     \dfrac{500}{1,562.5}=10^{(-0.1t)}

    0.32=10^{(-0.1t)}

Take base-10 logarithms on both sides:

    \log 0.32=-0.1t

    t=-\dfrac{\log 0.32}{0.1}\\\\\\t=-10\log 0.32

Note that the logarithm of a number decimal number is negative number, thus t will be positive. When you compute that, it is about 4.9 months.

8 0
3 years ago
Write the equation of the line passing through the point ​(​6,-9​) with slope -5/6.
Brilliant_brown [7]

Answer:

The equation is y = -5/6 x-4

Step-by-step explanation:

The equation of a line in slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = -5/6 x+b

Substitute in the point

-9 = -5/6(6) +b

-9 = -5+b

Add  5 to each side

-4 = b

The equation is y = -5/6 x-4

3 0
3 years ago
What is the value of x enter your awnser in the box<br>​
Llana [10]

Answer:

9

Step-by-step explanation:ratios

7 0
3 years ago
The line of best fit in a scatter plot is ___________________________.
Kipish [7]
<span>A. the most accurate trend line for the data represented</span>
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4 years ago
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