Answer:
Total Rate= 220$ and length = 13 ft
13/220$
= 1/16.92$
Unit = 16.92$
Answer:
Step-by-step explanation:
V = 1/3 * pi * r^2 * h
d = 12
r = d/2
r = 12/2
r = 6
V = 1/3 * 3.14 * 6^2 * 8
V = 301.44
Answer:
x = 4, x ≠ -1
Step-by-step explanation:
√3x + 4 = x
(√3x + 4)² = x² (Square both sides to get rid of the radical.)
3x + 4 = x²
0 = x² - 3x - 4 (Set everything to 0 by moving everything to one side.)
0 = (x - 4)(x + 1) (Factor.)
x = 4 x = -1
Now we need to check for extraneous solutions:
√3(4) + 4 = 4
√12 + 4 = 4
√16 = 4
4 = 4
√3(-1) + 4 = -1
√-3 +4 = -1
√1 = -1
1 ≠ -1
-1 is an extraneous solution.
Answer:
He should buy lights that are 2088 inches long
Step-by-step explanation:
Craig has a rectangle wooden deck that measures 799 inches by 245 inches.
Let us say the length, L, is 799 inches and the breadth, B, is 245 inches.
He wants to put a string of lights around the deck.
This means that he needs to buy the length of lights that would be equal to the perimeter of the rectangular deck.
The perimeter of a rectangle is given as:
P = 2(L + B)
Hence, the length of lights he should buy is:
P = 2(799 + 245) = 2(1044)
P = 2088 inches
He should buy lights that are 2088 inches long.
Answer:
x = 2, y = -1
Step-by-step explanation:
Now change the equation,
→ x + y = 1
→ y = 1 - x
Then the value of x will be,
→ 2x + y = 3
→ 2x + 1 - x = 3
→ x = 3 - 1
→ [ x = 2 ]
Therefore, the value of x is 2.
Now value of y will be,
→ y = 1 - x
→ y = 1 - 2
→ [ y = -1 ]
Hence, the value of y is -1.