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2 years ago

What is the absolute value of each number ?

Mathematics

2 answers:

gladu [14]2 years ago

4 0

Answer:

points

Step-by-step explanation:

Alex73 [517]2 years ago

3 0

Answer:

Step-by-step explanation:

Extending my answer to be able to send

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harina [27]

Answer:

0,0 which is the origin.

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1 year ago

Which number is prime 57, 63, 51, 67

gavmur [86]

The best answer would be D) 67 because the other numbers are not prime.

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2 years ago

Read 2 more answers

The flag of a country contains an isosceles triangle. (Recall that an isosceles triangle contains two angles with the same mea

weeeeeb [17]

31 degrees, 31 degrees, 118 degrees

Step-by-step explanation:

Step 1 :

Let x be the measure of 2 angles of the given isosceles triangle with same measure

Let y be the measure of 3rd angle

So we have x + x + y = 180

Step 2 :

Given that the measure of 3rd angle of triangle is 25° more than three times the measure of either of the other two angles

So we have , y = 3 x + 25

Step 3:

Substituting for y in the first equation we have,

x + x + 3 x + 25 = 180

=> 5 x + 25 = 180

=> 5 x = 180-25 = 155

=> x = 155/5 = 31

Hence the 2 angles of the triangle are 31 degrees.

Step 4:

we have y = 3 x + 25

=> y = 3 * 31 + 25 = 118

Hence the 3rd angle of given triangle is 118 degrees

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2 years ago

What is 5÷98 <img src="https://tex.z-dn.net/?f=5%20%5Cdiv%2098" id="TexFormula1" title="5 \div 98" alt="5 \div 98" align="abs

saveliy_v [14]

The answer is 0.05102

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3 years ago

an inverted conical water tank with a height of 20 ft and a radius of 8 ft is drained through a hole in the vertex (bottom) at a

viktelen [127]

Answer:

the rate of change of the water depth when the water depth is 10 ft is; $\mathbf{\dfrac{dh}{dt} = \dfrac{-25}{100 \pi} \ \ ft/s}$

Step-by-step explanation:

Given that:

the inverted conical water tank with a height of 20 ft and a radius of 8 ft is drained through a hole in the vertex (bottom) at a rate of 4 ft^3/sec.

We are meant to find the rate of change of the water depth when the water depth is 10 ft.

The diagrammatic expression below clearly interprets the question.

From the image below, assuming h = the depth of the tank at a time t and r = radius of the cone shaped at a time t

Then the similar triangles ΔOCD and ΔOAB is as follows:

$\dfrac{h}{r}= \dfrac{20}{8}$ ( similar triangle property)

$\dfrac{h}{r}= \dfrac{5}{2}$

$\dfrac{h}{r}= 2.5$

h = 2.5r

$r = \dfrac{h}{2.5}$

The volume of the water in the tank is represented by the equation:

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

$V = \dfrac{1}{3} \pi (\dfrac{h^2}{6.25}) h$

$V = \dfrac{1}{18.75} \pi \ h^3$

The rate of change of the water depth is :

$\dfrac{dv}{dt}= \dfrac{\pi r^2}{6.25}\ \dfrac{dh}{dt}$

Since the water is drained through a hole in the vertex (bottom) at a rate of 4 ft^3/sec

Then,

$\dfrac{dv}{dt}= - 4 \ ft^3/sec$

Therefore,

$-4 = \dfrac{\pi r^2}{6.25}\ \dfrac{dh}{dt}$

the rate of change of the water at depth h = 10 ft is:

$-4 = \dfrac{ 100 \ \pi }{6.25}\ \dfrac{dh}{dt}$

$100 \pi \dfrac{dh}{dt} = -4 \times 6.25$

$100 \pi \dfrac{dh}{dt} = -25$

$\dfrac{dh}{dt} = \dfrac{-25}{100 \pi}$

Thus, the rate of change of the water depth when the water depth is 10 ft is; $\mathtt{\dfrac{dh}{dt} = \dfrac{-25}{100 \pi} \ \ ft/s}$

4 0

3 years ago