Answer: x=32
Exclamation:
-3x\4+25=1/8x-3
-3/4x+25=x/8-3
-6x+200=x-24
200=x-24+6x
200=7x-24
200+24=7x
224=7x
224/7=32
total that play football = 40
30 of them play basket ball
the missing number is 40 - 30 = 10
The standard form for the equation of a circle is :
<span><span><span> (x−h)^</span>2</span>+<span><span>(y−k)^</span>2</span>=<span>r2</span></span><span> ----------- EQ(1)
</span><span> where </span><span>handk</span><span> are the </span><span>x and y</span><span> coordinates of the center of the circle and </span>r<span> is the radius.
</span> The center of the circle is the midpoint of the diameter.
So the midpoint of the diameter with endpoints at (−10,1)and(−8,5) is :
((−10+(−8))/2,(1+5)/2)=(−9,3)
So the point (−9,3) is the center of the circle.
Now, use the distance formula to find the radius of the circle:
r^2=(−10−(−9))^2+(1−3)^2=1+4=5
⇒r=√5
Subtituting h=−9, k=3 and r=√5 into EQ(1) gives :
(x+9)^2+(y−3)^2=5
The number of tickets purchased is 6
Let t represent the total amount of tickets bought
Total tickets bought = $32.50 x t = $32.50t
Total convenience charge = $3.30 x t = $3.30t
Total processing charge = $5.90
Total cost of purchasing t tickets = $32.50t + $3.30t + $5.90
= $35.80t + $5.90
$220.70 = $35.80t + $5.90
combine similar terms
$220.70 - $5.90 = $35.80t
214.80 = $35.80t
Divide both sides of the equation by t
t = 6 tickets
A similar question was solved here: brainly.com/question/20670631?referrer=searchResults
Answer:
<u>Option B: sin Ф cos² Ф</u>
Step-by-step explanation:
Given expression:
![\frac{sin^2 \phi}{csc \ \phi \ * tan^2 \ \phi} = \frac{sin^2 \phi}{\frac{1}{sin \ \phi}*\frac{sin^2 \phi}{cos^2 \phi} } = sin \ \phi * cos^2 \ \phi](https://tex.z-dn.net/?f=%5Cfrac%7Bsin%5E2%20%5Cphi%7D%7Bcsc%20%5C%20%5Cphi%20%5C%20%2A%20tan%5E2%20%5C%20%5Cphi%7D%20%3D%20%5Cfrac%7Bsin%5E2%20%5Cphi%7D%7B%5Cfrac%7B1%7D%7Bsin%20%5C%20%5Cphi%7D%2A%5Cfrac%7Bsin%5E2%20%5Cphi%7D%7Bcos%5E2%20%5Cphi%7D%20%20%7D%20%3D%20sin%20%5C%20%5Cphi%20%2A%20cos%5E2%20%5C%20%5Cphi)
Note:
csc Ф = 1/sin Ф
tan Ф = (sin Ф)/(cos Ф)