Answer:
the number is 10
Step-by-step explanation:
3x + 10 = 6x-20
20+10=6x-3x
30=3x
x=10
15-4X=-10-11X
-4X+11X=-10-15
7X=-25
X=-25/7
that's what it is
Total throws = 187
Let three throws = 3t
And
Seven throws = 7s
So
3t + 7s = 187 -------------- (1)
While total collected money = $57
Money for three throws = 1t
Money for seven throws = 2s
Hence
1t +2s = 57 ------------------(2)
Now solving both equations, so multiply second
equation by 3 and subtract it from equation (1);
Equation (2) becomes 3t + 6s = 171
While subtracting it from equation (1) gives the
final equation as below.
s = 16
Putting s = 16 in equation (2);
1t + (2x16) = 57
1t + 32 = 57
t = 25
Thus 25 people bought three throws and 16 people
bought seven throws.
As for 25 people having three throws = $25
And
16 people having seven throws = 2x16 = $32
So total earned money = 25 + 32 = $57
<span>Hence proved. </span>
Answer:
13 + 
or
22.43398... (depends on how you round it)
Step-by-step explanation:
1. The question stated that the radius of the circle O is 5, so the length of AO and CO is 5.
2. Since line AB and line CB are both tangent to the circle, they have the same length. CB is 8, so AB will also be 8.
--> Both triangle AOB and COB share one side, and the other side (radius) has the same length, so the third side must be the same length
3. Tangent means having a 90-degree angle with the radius. We know that the triangle AOB is a right triangle since the angle OAB is 90 degrees.
We can use the Pythagorean theorem to find side OB. OB^2 = AO^2 + AB^2.
--> OB^2 = 25 + 64
--> OB^2 = 89
--> OB = 
Now that we know the lengths of all three sides, we can add them up.
--> 5 + 8 + 
--> 13 + 
or
--> 22.43398113....