Answer:
13. 9.77 inches (rounded to 3 s.f.)
14. 249m² (rounded to 3 s.f.)
Step-by-step explanation:
13. To find the arc length, the formula is the angle of the arc out of 360° multiplied by the circumference of the full circle. Circumference of circle: pi × r × 2
× pi × 7 × 2 = 3
pi
= 9.77 inches (rounded to 3 s.f.)
14. To find the sector area, the formula is the angle of the sector out of 360° multiplied by the area of the full circle. Area of circle: pi × r × r
× pi × 10 × 10 = 79
pi
= 249m² (rounded to 3 s.f.)
1,025 lbs I think that s the answer
Answer:
y = 5x - 3
Step-by-step explanation:
equation of a straight line is <em>y = mx + b </em>where m=slope and b=y-intercept
in this case m=5 and b= -3
y = mx + b
y = 5x - 3
Answer: R(t) = 10 + 0.50t
Step-by-step explanation:
From the question, we've been informed that Joseph's hourly rate is $10 and that for every year he works at the grocery store, his hourly rate increases by $0.50.
Therefore, the function will be
R(t) = 10 + 0.50t
Answer:
Guided Practice 4: QR = 7.12
Guided Practice 5: x = 15
Step-by-step explanation:
<u>Guided Practice 4:</u><u> </u>
Given that:
PR = 
PQ = 
QR = ?
PQ + QR = PR
6.63 + QR = 13.75
Subtract 6.63 from both sides of the equation to solve for QR:
6.63 - 6.63 + QR = 13.75 - 6.63
QR = 7.12
Check if QR is valid:
PQ + QR = PR
6.63 + 7.12 = 13.75
13.75 = 13.75 (true statement).
<u>Guided Practice 5</u>:
Given that:
AC = 4x - 12
AB = x
BC = 2x + 3
AB + BC = AC
x + (2x + 3) = 4x - 12
Combine like terms:
3x + 3 = 4x - 12
Add 12 on both sides of the equation:
3x + 3 + 12 = 4x - 12 + 12
3x + 15 = 4x
Subtract 3x from both sides of the equation:
3x - 3x + 15 = 4x - 3x
15 = x
Check if AB = x is valid by plugging in 15 to x values in the equation:
AB + BC = AC
15 + 2(15) + 3 = 4(15) - 12
15 + 30 + 3 = 60 - 12
48 = 48 (True statement)
