Answer:
$57.63
Step-by-step explanation:
For x > 3, the price in dollars Mr. Roshan will pay for x pounds of beef is ...
cost = 4.99×3 +4.49(x -3) = 3(4.99 -4.49) +4.49x
cost = 1.50 +4.49x
Then for x = 12.5 pounds, the cost is ...
cost = 1.50 +4.49×12.5 = 1.50 +56.13
cost = 57.63
Mr. Roshan will pay $57.63 for 12.5 pounds of beef.
Answer:
C. 9/8
Step-by-step explanation:

Use KCF which means Keep the first fraction, Change the second fraction by flipping it and change the division sign to a multiplication symbol:

multiply the numerator together:
6 × 12 = 72
multiply the denominator together:
8 × 8 = 64
now the fraction is:

simplify further by dividing both numbers by 8:
72 ÷ 8 = 9
64 ÷ 8 = 8
so the fraction is 9/8
Answer:
After 14.92 seconds, the arrow hits the ground.
Step-by-step explanation:
Given:
Initial velocity of the arrow is, 
The arrow goes up and come back to the same starting position. So, initial position is same as that of final position.
Therefore, displacement of the arrow is 0 m.
The displacement of the arrow is given as:
(equation 1)
Plug all value in equation 1 and solve for 



where 


∴ After 14.92 seconds, the arrow hits the ground.
9514 1404 393
Answer:
9 ft, 22 ft, 23 ft
Step-by-step explanation:
Let s represent the length of the shortest side. Then the middle length side is (2s+4) and the longest side is (3s-4). The perimeter is the sum of the side lengths:
54 = s +(2s +4) +(3s -4)
54 = 6s . . . . . . . . . . . . . . collect terms
9 = s . . . . . . . . . . divide by 6
2s+4 = 2·9 +4 = 22
3s -4 = 3·9 -4 = 23
The lengths of the three sides are 9 feet, 22 feet, and 23 feet.
Answer:
Measure of angle 2 and angle 4 is 42°.
Step-by-step explanation:
From the figure attached,
m∠ABC = 42°
m(∠ABD) = 90°
m(∠ABD) = m(∠ABC) + m(∠DBC)
90° = 43° + m(∠DBC)
m(∠DBC) = 90 - 43 = 47°
Since ∠ABC ≅ ∠4 [Vertical angles]
m∠ABC = m∠4 = 42°
Since, m∠3 + m∠4 = 90° [Complimentary angles]
m∠3 + 42° = 90°
m∠3 = 90° - 42°
= 48°
Since, ∠5 ≅ ∠3 [Vertical angles]
m∠5 = m∠3 = 48°
m∠3 + m∠2 = 90° [given that m∠2 + m∠3 = 90°]
m∠2 + 48° = 90°
m∠2 = 90 - 48 = 42°
m∠3+ m∠4 = 90° [Since, ∠3 and ∠4 are the complimentary angles]
48° + m∠4 = 90°
m∠4 = 90 - 48 = 42°
Therefore, ∠2 and ∠4 measure 42°.