Answer:
b
Step-by-step explanation:
The 9 is in the thousandths place. The number after is it 6 (which it greater than 5) so 9 becomes a 10.
0.0196 rounded to the nearest thousandths is <u>0.02</u>
Given:
length 30 inches
k = 24
v = l * w * h
volume varies directly w/ the length: v = kl
v = 24 * 30 = 720
k = wh
24 = wh
w = 24/h or h = 24/w
P = 2w + 2h
20 = 2w + 2h
20 = 2(24/h) + 2h
20 = 48/h + 2h
48/h + 2h - 20 = 0
h(48/h + 2h - 20) = 0
48 + 2h² - 20h = 0
2h² - 20h + 48 = 0
2(h² - 10h + 24) = 0
2(h - 6)(h - 4) = 0
h = 6 or h = 4
Since the height serves as the length in the perimeter equation, then its measure is 6 and width is 4.
length = 30 ; width = 4 ; height = 6.
observe that
15j + 12k = 18
3(5j + 4k = 6)
since the first equation is multiple of the second equation, then there are infinitely many solutions for the system
Answer:
a. h = A/w = 2 ³/₄ ft
b. A'/A = 2/3
Step-by-step explanation:
a. What is the total height of the wall? Write an equation to represent the situation. Then solve.
The wall is a rectangle and its area is A = wh where w = width and h = height of wall.
Making h subject of the formula,
h = A/w
Now, Since the area of the retaining wall, A is 23 ³/₈ ft² and its width is the length of the portion of the wall which is brick w is 8 ¹/₂ ft, then
h = A/w
= 23 ³/₈ ft² ÷ 8 ¹/₂ ft
= 187/8 ft² ÷ 17/2 ft
= 187/8 ft² × 2/17 ft
= 187/4 ft² × 1/17 ft
= 187/68 ft
= 2 ³/₄ ft
b. If the area of the brick portion of the wall is 15(7/12), what fraction of the wall is brick? Write an equation to show your work.
Since the area of the brick portion of the wall is A' = 15 ⁷/₁₂ ft² and the total are of the retaining wall is A = 23 ³/₈ ft²
The fraction of the wall that is brick = A'/A
= 15 ⁷/₁₂ ft² ÷ 23 ³/₈ ft²
= 187/12 ÷ 187/8
= 187/12 × 8/187
= 8/12
= 2/3