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ki77a [65]
4 years ago
6

Each side of a square is increasing at a rate of 6cm/s. At what rate is the area of the square increasing when the area of the s

quare is 16cm^(2). Show step-by-step solution
Mathematics
1 answer:
diamong [38]4 years ago
7 0
Area of a square = length²
A = x²
16 = x²; x = 4
dA/dx = 2x cm²/s
dx/dt = 6 cm/s
Using chain rule:
dA/dt = dA/dx * dx/dt
dA/dt = 2x * 6
dA/dt = 12x
At x = 4,
dA/dt = 12(4) = 48 cm²/s
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Name the two solutions of (2x – 1)2 = 25.
Ket [755]
Answer:

X= 27/4, 6 3/4, 6.75
4 0
3 years ago
Read each problem carefully and solve as required then answer the questions that follow
zepelin [54]

Answer:

Step-by-step explanation:

1) Number of children = c

Number of adults = a

Total ticket = 250

c + a = 250 -------------------(I)

Cost of 'c' children tickets = 200c

Cost of 'a' adult tickets =  450a

Total cost = 76000

200c + 450a = 76000  ------------------(II)

Multiply (I) by (-200) and then add

(I)*(-200)          -200c - 200a = -50000

(II)                    <u> 200c + 450a = 76000 </u>

<u> </u>                                    250a = 26000

                                           a = 26000/250

a = 104

Plug in a = 104 in equation (1)

c + 104 = 250

         c = 250 - 104

        c = 146

2)Number of children = 146

Number of adults = 104

7 0
3 years ago
How would you write the expression the product 18 and a number b?
mina [271]
Subtraction: 18 - b
Addition: 18 + b
Multiplication: 18b, or 18 x b
Division: 18 divided (My keyboard doesn't have a division sign?) by b
Hope this helped.
6 0
3 years ago
If 16+4x is 10 more than 14, what is the value of 8x?
sattari [20]
16 + 4x = 10 + 14

16 + 4x = 24.

4x = 24 - 16

4x = 8

x = 8 ÷ 4

x = 2

8x = 2 × 8

8x = 16

Final answer = 16.
3 0
3 years ago
david used 2 1/4 feet of cloth to make a shirt. he also used 3 1/3 feet to make a scarf. which expression could used to correctl
Ad libitum [116K]
C. 2+3 = 5
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So C would make sense because those all add up to the answer :-)
5 0
4 years ago
Read 2 more answers
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