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asambeis [7]
3 years ago
12

What is the circumference of a circle is 22 pi yards. Find the radius of the circle in terms of pi

Mathematics
1 answer:
Ganezh [65]3 years ago
3 0

Answer:

r=C

2π

Step-by-step explanation:

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If tan 0 = -5, find the cot 0
Irina-Kira [14]

Answer:

Step-by-step explanation:

cot(theta) = 1 / tan(theta)

cot(theta) = 1 / -5

cot(theta) = - 0.2

4 0
2 years ago
Question : What value of t corresponds to the first day that the sun is 20° north of due east at sunrise? Round your answer to t
marin [14]
<span>During each day the ... only times in the year that the Sun rises due east and sets due west. ... At the June (winter) solstice the Sun risesnorth of east, makes a ... Over the next few weeks sunset moved to the left or south and by 23 ... June 28, 2016 at 2:20 pm.</span><span>
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4 0
3 years ago
Solve the equation 4-2(x+7)=3(x+5) =
kumpel [21]

Hi there!


To solve this equation, I first would like to warn you about the long answer I am about to post for you. I'll be putting in very detailed steps for you, showing you how to simplify and distribute numbers, etc. :)


Let us solve your equation step-by-step.


Step 1) Simplify both sides of the equation.


To simplify this, we will...


4 + (-2) (x) + (-2) (7) = (3) (x) + (3) (5)


4 + - 2x + - 14 = 3x + 15


(-2x) + (4 + - 14) = 3x + 15


Now, we combine Like Terms...


-2x + - 10 = 3x + 15


-2x - 10 = 3x + 15


Fwew! That was probably going to be the longest step here!


Step 2) Subtract 3x from both sides.


- 2x - 10 - 3x = 3x + 15 - 3x


- 5x - 10 = 15


Step 3) Add 10 to both sides.


- 5x - 10 + 10 = 15 + 10


- 5x = 25


Step 4) Divide both sides by -5.


-5x/-5 = 25/-5


So, our final answer is x = -5.


Hope this helps!

Message me if you need anything else! I'd be happy to help! :D

8 0
2 years ago
Read 2 more answers
Write a slope- intercept equation for a line with given characters m=-4/5, passes through (-4,-5)
aleksandr82 [10.1K]

\bf (\stackrel{x_1}{-4}~,~\stackrel{y_1}{-5})~\hspace{10em} \stackrel{slope}{m}\implies -\cfrac{4}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{-\cfrac{4}{5}}[x-\stackrel{x_1}{(-4)}]\implies y+5=-\cfrac{4}{5}(x+4) \\\\\\ y+5=-\cfrac{4}{5}x-\cfrac{16}{5}\implies y=-\cfrac{4}{5}x-\cfrac{16}{5}-5\implies y=-\cfrac{4}{5}x-\cfrac{41}{5}

6 0
3 years ago
Suppose you invested $10,000 part at 6% annual interest and the rest at 9% annual interest. If you received $684 in interest aft
victus00 [196]
Assuming simple interest (i.e. no compounding within first year), then
At 6%, interest = 10000*0.06=$600
At 9% interest = 10000*0.09 = $900

Two ways to find the ratio
method A. let x=proportion at 6%
then
600x+900(1-x)=684
Expand and solve
300x=900-684=216
x=216/300=0.72 or 72%
So 10000*0.72=7200 were invested at 6%
10000-7200=2800 were invested at 9%

method B: by proportions
Ratio of investments at 6% and 9%
= 900-684 : 684-600
=216 : 84
= 18 : 7
Amount invested at 6% = 18/(18+7) * 10000 = 0.72*10000 = 7200
Amount invested at 8% = 7/(18+7)*10000=0.28*10000=2800
5 0
3 years ago
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