Area of a sector: 1/2r^2 theta
Need theta
Let x be theta for now
42.25 pi = 1/2r^2x
84.5pi = r^2x
84.5pi = 169x
x = 84.5pi/169 = roughly 1.57 in radians
Radians => degrees is 1.57 * 180/pi or roughly 90.
Here are the steps
put it into y=mx+b 4y=-5x+20
to isolate y divide both sides by y=-5/4+5
to find the xi
xi is when y=0 so plug it in to the equation 4y=-5x+20 4(0)=-5x+20
0=-5x+20 subtract 20 from each side -20=-5x the negatives cancel out 20=5x
to isolate x divide each side by 5 x=20/5
20/5=4
Answers:
m=-5/4
yi=5
xi=4
Answer:
16
Step-by-step explanation:
This problem requires PEMDAS
Parentheses ( )
Exponents ^
Multiplication
Division
Add
Subtract
Start by solving anything in parentheses. There's an exponent within the parentheses, so we change that 2^2 into 4 and also make sure to multiply 5 x 2 before subtracting.
-4 - (2 + -24 - 4 - (4-10))
-4 - (2 + -24 - 4 - (-6))
Again, solve parentheses first.
-4 - (-22 - 4 - (-6))
-4 - (-26 + 6)
-4 - (-20)
-4 + 20
Answer is 16
Answer:
c
Step-by-step explanation:
To find the maximum point, differentiate:
D' = -8p +160
Set to zero and solve for p:
D' = 0
⇒ -8p +160 = 0
⇒ 8p = 160
⇒ p = 20
Input p = 20 into the original equation to find D:
D = -4(20)² + 160(20) -310 = 1290
Therefore, the price is $20 and the maximum number of drills is 1,290
Answer and Step-by-step explanation:
Since we have given that
1. m∠1 + m∠5 = 180° and m∠1 + m∠4=180° - Given
2. m∠1 + m∠5 = m∠1 + m∠4 - Substitution
3. m∠5 = m∠4 -
Subtraction property of equality
4. Ray YZ is parallel to Ray UV - If alternate interior angles equal, then line are ||
