Answer:
<em>(D). (3, 1) </em>
Step-by-step explanation:
y ≤ 3x - 4
<u><em>(A). (0, 4)</em></u>
4 ≤ 3(0) - 4
4 ≤ - 4 <u><em>(False statement)</em></u>
<u><em>(B). (-2, 0)</em></u>
0 ≤ 3(- 2) - 4
0 ≤ - 10 <u><em>(False statement) </em></u>
<u><em>(C). (0, 0)</em></u>
0 ≤ 3(0) - 4
0 ≤ - 4 <u><em>(False statement)</em></u>
<u><em>(D). (3, 1)</em></u>
1 ≤ 3(3) - 4
1 ≤ 5 <u><em>(True statement) </em></u>
Answer:
cosA = √(21/25)
Step-by-step explanation:
We know
sin²(A) + cos²(A) = 1
Next, we know that sin(A) = 2/5. Plugging that into our equation, we get
(2/5)² + cos²A = 1
4/25 + cos²A = 1
subtract 4/25 from both sides to isolate cos²A
cos²A = 1 - 4/25 = 25/25-4/25 = 21/25
square root both sides to get
cosA = √(21/25)
We do not include -√(21/25) in our possible answer for cosA because this is in quadrant 1, so cosA must be positive.
Joe completes an average of (10 ft)/(5 h) = 2 ft/hour. Bill completes an average of (10 ft)/(4 h) = 2.5 ft/hour. Together, they complete 2+2.5 = 4.5 ft/hour. At that rate, it will take them
... (120 ft)/(4.5 ft/h) = 26 2/3 h
Answer:
6 hours
Step-by-step explanation:
Given that:
Time taken by Sam = 3 hours
Sam's rate = 1/3
Time taken : Sam + Laura = 2 hours
Sam's rate + Laura's rate = 1/2
Let time taken by Laura = x
1/3 + 1/x = 1/2
1/x = 1/2 - 1/3
1/x = (3 - 2) / 6
1/x = 1 /6
x = 6
Hencw, it will take 6 hours for Laura alone to rake leaves
