Answer:
A = 28.26 cm², P = 38 units, A = 20 units², C = 43.96 units
Step-by-step explanation:
1) Our area of a circle is πr². Since our r = 3 cm, we can just substitute for r.
A = πr²
A = (3.14)(3)²
A = (3.14)(9)
A = 28.26 cm², like in your work.
2) Our formula for perimeter is 2l + 2w. We substitute for l = 12 and w = 7.
P = 2l + 2w
P = 2(12) + 2(7)
P = 24 + 14
P = 38 units
3) The formula for a triangle's area is A =
bh, so we substitute for b = 10 and h = 4.
A =
bh
A =
(10)(4)
A =
(40)
A = 20 units²
4) Circumference is 2πr, and we substitute for r = 7.
C = 2πr
C = 2(3.14)(7)
C = (3.14)(14)
C = 43.96 units
If you're solving for W, your answer is w = 2 1/6
First, we would simplify our fractions:
w + 2/3 = 2 5/6 =
w + 2/3 = 17/6
Lastly, we subtract 2/3 on both sides of the equation:
w + 2/3 - 2/3 = 17/6 - 2/3 =
w = 13/6 or w = 2 1/6
<span> <span /><span><span>Week 1 Week 2
</span>
<span>
Monday 480 480
</span><span>Tuesday 450 480
</span>
<span>
Wednesday 495 480
</span>
<span>
Thursday 480 480
</span>
<span>
Friday 300
480
</span>
<span>
Total (minutes)
2205
2400
Week 1: 2205 mins / 60 mins = 36.75 hours
Week 2: 2400 mins / 60 mins = 40 hours
Add up all the minutes in a week.
Divide the sum by 60 minutes to get the total hours worked for the week.
Both weeks, the front office clerk did not exceed the 40 hours maximum.
There will be no overtime pay.
</span></span></span>
D. both climbers rested on the wall for 2 minutes