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2 years ago

Tell if each number is divisible by 2,3,4,5,6,7,8,9,10 ☝️

Mathematics

1 answer:

horsena [70]2 years ago

5 0

24 - 2, 3, 4, 6 , 8
54 - 2, 3, 6
45 - 3,5
144 - 2,3, 6,8
130 - 2,5
519 - 3
72 - 3, 2, 4, 6, 8, 9
12,035 - 5

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50 points. Please explain each step

3241004551 [841]

<h3>Sin $\theta_{1}=\frac{3\sqrt{21}}{17}$ </h3>

Solution given:

Cos $\theta_{1}=\frac{10}{17}$

$\frac{adjacent}{hypotenuse}=\frac{10}{17}$

equating corresponding value

we get

adjacent=10

hypotenuse=17

perpendicular=x

now

by using Pythagoras law

Hypotenuse ²=perpendicular²+adjacent ²

substituting value

17²=x²+10²

17²-10²=x²

x²=17²-10²

x²=189

doing square root

$\sqrt{x²}=\sqrt{189}$

x= $3\sqrt{21}$

now

In I Quadrant sin angle is positive

Sin $\theta_{1}=\frac{perpendicular}{hypotenuse}$

<h3>Sin $\theta_{1}=\frac{3\sqrt{21}}{17}$ </h3>

7 0

2 years ago

Read 2 more answers

What is the formula for the following arithmetic sequence?<br><br> 12, 6, 0, -6, ...

Lady_Fox [76]

Answer:

12+35x3.14

Step-by-step explanation:

7 0

2 years ago

The lines below are perpendicular. If the green line has a slope of 1/7, what is

Lina20 [59]

Answer:

-7

Step-by-step explanation:

8 0

2 years ago

the volume v of a right circular cylinder of radius r and heigh h is V = pi r^2 h 1. how is dV/dt related to dr/dt if h is const

laiz [17]

In general, the volume

$V=\pi r^2h$

has total derivative

$\dfrac{\mathrm dV}{\mathrm dt}=\pi\left(2rh\dfrac{\mathrm dr}{\mathrm dt}+r^2\dfrac{\mathrm dh}{\mathrm dt}\right)$

If the cylinder's height is kept constant, then $\dfrac{\mathrm dh}{\mathrm dt}=0$ and we have

$\dfrac{\mathrm dV}{\mathrm dt}=2\pi rh\dfrac{\mathrm dt}{\mathrm dt}$

which is to say, $\dfrac{\mathrm dV}{\mathrm dt}$ and $\dfrac{\mathrm dr}{\mathrm dt}$ are directly proportional by a factor equivalent to the lateral surface area of the cylinder ( $2\pi r h$ ).

Meanwhile, if the cylinder's radius is kept fixed, then

$\dfrac{\mathrm dV}{\mathrm dt}=\pi r^2\dfrac{\mathrm dh}{\mathrm dt}$

since $\dfrac{\mathrm dr}{\mathrm dt}=0$ . In other words, $\dfrac{\mathrm dV}{\mathrm dt}$ and $\dfrac{\mathrm dh}{\mathrm dt}$ are directly proportional by a factor of the surface area of the cylinder's circular face ( $\pi r^2$ ).

Finally, the general case ( $r$ and $h$ not constant), you can see from the total derivative that $\dfrac{\mathrm dV}{\mathrm dt}$ is affected by both $\dfrac{\mathrm dh}{\mathrm dt}$ and $\dfrac{\mathrm dr}{\mathrm dt}$ in combination.

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2 years ago

Write an exponential function in the form y=ab^ x that goes through the points 007 and 5224

kati45 [8]

Answer:

y = 19 (3)x

Explanation:

y = abx

Plug in the numbers from the 2 given points to find a and b.

19 = ab0 = a
a = 19

171 = 19b2
b = 3

y = 19 (3)x

3 0

2 years ago