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4 years ago

Compute the following 5/9+1/4

Mathematics

2 answers:

laila [671]4 years ago

7 0

Answer: 5/9 + 1/4 = 20/36 + 9/36 = 29/36

Step-by-step explanation:

You have to convert the denominator to the same number in order to add fractions.

n200080 [17]4 years ago

3 0

Answer:

29/36

Step-by-step explanation:

5/9 + 1/4

The common denominator is 36

5/9 *4/4 = 20/36

1/4*9/9 = 9/36

20/36 + 9/36 = 29/36

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The radius of a right circular cone is increasing at a rate of 1.4 in/s while its height is decreasing at a rate of 2.1 in/s. At

kow [346]

Given:

$\dfrac{dr}{dt}=1.4\text{ in/s}$

$\dfrac{dh}{dt}=-2.1\text{ in/s}$

To find:

The rate of change in volume at $r=120\text{ in. and }175\text{ in.}$

Solution:

We know that, volume of a cone is

$V=\dfrac{1}{3}\pi r^2h$

Differentiate with respect to t.

$\dfrac{dV}{dt}=\dfrac{1}{3}\pi\times \left[(r^2\dfrac{dh}{dt}) + h(2r\dfrac{dr}{dt})\right]$

Substitute the given values.

$\dfrac{dV}{dt}=\dfrac{1}{3}\times \dfrac{22}{7}\times \left[(120)^2(-2.1) +175(2)(120)(1.4)\right]$

$\dfrac{dV}{dt}=\dfrac{22}{21}\times \left[-30240+58800\right]$

$\dfrac{dV}{dt}=\dfrac{22}{21}\times 28560$

$\dfrac{dV}{dt}=29920$

Therefore, the volume of decreased by 29920 cubic inches per second.

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3 years ago

Find the rule of f(2)

ValentinkaMS [17]

25. 5 x 5 is 25 hope this helps :)

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4 years ago

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In the figure MN || PQ , ORP = 120° and NOS = 65°.<br><br> Find the value of x.

Nookie1986 [14]

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Andre45 [30]

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4 years ago

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lbvjy [14]

Answer:

$60

Step-by-step explanation:

Using the given formula :

I = P × R × t

I = 40 × 10/100 × 5

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3 years ago