1. ASA SAS HL SSS AAS 2. PSR = __

the area of a square whose sides have length x cm is increasing at the rate of 12cm²/s. how fast is the length of a side increas

katovenus [111]

Answer:

0.67 cm/s

Step-by-step explanation:

The area of a square is given by :

$A=x^2$ ....(1)

Where

x is the side of a square

$\dfrac{dA}{dt}=12\ cm^2/s$

Differentiating equation (1) wrt t.

$\dfrac{dA}{dt}=2x\times \dfrac{dx}{dt}$

When A = 81cm², the side of the square, x = 9 cm

Put all the values,

$12=2\times 9\times \dfrac{dx}{dt}\\\\\dfrac{dx}{dt}=\dfrac{2}{3}\\\\\dfrac{dx}{dt}=0.67\ cm/s$

So, the length of the side of a square is changing at the rate of 0.67 cm/s.

4 0

2 years ago

Lin's teacher uses the box to store her set of cubes with an edge length of one half inch. if the box is completely full, how ma

nlexa [21]

Answer:

448 cubes

Step-by-step explanation:

Volume of cubes fitted in the box will be equal to the cumulative volume of the cubes.

Since, volume of a cube = (Side)³

Side of the cube = $\frac{1}{2}$ inch

Therefore, volume of the cube = $(\frac{1}{2})^3=\frac{1}{8}$ inches

Volume of the storage box = 56 cubic inches

Since, number of cubes fitted in the storage box = $\frac{\text{Volume of the storage box}}{\text{Volume of one cube}}$

= $\frac{56}{\frac{1}{8}}$

= 56 × 8

= 448 cubes

Therefore, number of cubes fitted in the storage box = 448

3 0

2 years ago

2

nignag [31]

Answer:

1st = 4×10 ^-9

2nd= 4×10^1

3rd = 4×10^7

4th = 4×10^-5

Step-by-step explanation:

for whole numbers you just have to count from the ending till the number indicated beside the x10

for decimals you count from the front starting at the decimal till you cover the whole number

6 0

6 months ago

1.There are 32 adults and 20 children at a shool play.Which of these ratios is not equivalent to the ratio of adults to children

OLEGan [10]

Well it have to be D because 32 and 20 can not go into 64 to 40 because 32 times 64 is 2048 and 64 times 20 is 1280 and if it was 40 times 32 and 20 it will still be higher. I HAVE FAITH IN YOU.

7 0

2 years ago

Anything that ends in 5 can be divided by

Mandarinka [93]

Answer:

1, itself, and 5

Step-by-step explanation:

5 0

2 years ago

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1. ASA SAS HL SSS AAS 2. PSR = ___