Not so sure about the second one, but the first one is pretty simple:
The area of a circle = pi x radius^2
Since you need to find the area of the entire dvd, I'm assuming they mean if the hole in the center wasn't there, so add that to the diameter.
12+1.5 = 13.5
Half of the diameter is the radius, so half of 13.5 = 6.75
Now, multiply pi (3.14) by the radius, but have the radius squared. You'd write the equation like this:
3.14 x 6.75^2 (or on paper, the ^2 would be a small two diagonal from the 5)
Actual answer: 143.06625
You can round that to 143.
Answer:
c 150
Step-by-step explanation:
because opposite angle have same angles
Answer:
y =34
x = 25
Money made from flight x = 3000
Money made from flight y = 9520
Step-by-step explanation:
Tickets sold
59= x+y
Amount of money
120x + 280y = 12520
Using substitution
x = 59-y
120( 59-y) + 280y = 12520
7080 - 120y +280y = 12520
Combine like terms
160y +7080 = 12520
Subtract 7080
160y = 12520-7080
160y =5440
Divide by 160
160y/160 = 5440/160
y =34
Now find x x = 59-y = 59-34 =25
x = 25
Money made from flight x =
120*x = 120*25 =3000
Money made from flight y =
280*y= 280*34=9520
Answer:
1. Statement: ∠RVS ≅ ∠SVT
2. Statement: m∠RVS + m∠SVT = 180°
3. Statement: m∠RVS + m∠RVS = 180°
4. Statement: m∠RVS = 90°
5. Statement: Line RT ⊥ Line SU
1. Reason: Given
2. Reason: Angles forming a linear pair sum of 180°
3. Reason: Substitution
4. Reason: Algebra
5. Reason: Defintion of perpendicular lines
Step-by-step explanation:
First, write the given (line 1).
Next, use the fact that angles forming a linear pair sum to 180° to show m∠RVS + m∠SVT = 180° (line 2).
Next, substitute m∠RVS for m∠SVT in m∠RVS + m∠SVT=180° (line 3).
Next, use algebra to show m∠RVS = 90° (line 4).
Finally, use the definition of perpendicular lines to prove that Line RT ⊥ Line SU (line 5).
Hope this helps :D
Answer:
70/9
Step-by-step explanation:
9x-81 = -11 *distribute the 9
9x = 70 *add 81 to the other side - isolate the x
x = 70/9