Equation of the circle is
(x-h)² + (y-k)² = r²,
where (h, k) are coordinates of the center of the circle.
(h,k)= (0,-2)
radius r= 6
(x-0)² +(y-(-2))²=6²
x² + (y+2)² = 36
Answer:
x = 10
BD = 74
Step-by-step explanation:
Find x by setting 3x+7 equal to 37. Solve for x by subtracting 7 on both sides then divide by 3 to get x=10.
Since 37 is half of AC, multiply that by 2 to find AC or BD, which are the exact same length of 74.
Answer:
c.) 7.5
Step-by-step explanation:
There is a part-to-whole relationship here.
2 customers : 8 minutes= ? customers : 30 minutes
<em>or...</em>
2/8=x/30
Cross multiply:
8x=60
Divided both sides by 8:
x=60/8=7.5
I hope this helps!
1. We assume, that the number 92.4 is 100% - because it's the output value of the task.
<span>2. We assume, that x is the value we are looking for. </span>
<span>3. If 92.4 is 100%, so we can write it down as 92.4=100%. </span>
<span>4. We know, that x is 150% of the output value, so we can write it down as x=150%. </span>
5. Now we have two simple equations:
1) 92.4=100%
2) x=150%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
92.4/x=100%/150%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 150% of 92.4
92.4/x=100/150
<span>(92.4/x)*x=(100/150)*x - </span>we multiply both sides of the equation by x
<span>92.4=0.666666666667*x - </span>we divide both sides of the equation by (0.666666666667) to get x
<span>92.4/0.666666666667=x </span>
<span>138.6=x </span>
x=138.6
<span>now we have: </span>
<span>150% of 92.4=138.6</span>
Answer:
<em>75.6</em>
Step-by-step explanation:
100% - 73% = 27%
27% = 0.27
280 × 0.27 = <em>75.6</em>
