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3 years ago

5

Define the rate of change and how it is related to the slope of a line

1 answer:

Gwar [14]3 years ago

7 0

Answer:

Explanation: Slope is the ratio of the vertical and horizontal changes between two points on a surface or a line. ... If coordinates of any two points of a line are given, then the rate of change is the ratio of the change in the y-coordinates to the change in the x-coordinates.

Step-by-step explanation:

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Westkost [7]

Please put a more clear picture

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3 years ago

Please explain I am very confused!

rusak2 [61]

Answer:

42°

Step-by-step explanation:

Altitude of an isosceles triangle divides it vertex in equal angles

so ∠ABD = ∠PBC = 48/2 = 24

In ΔABC sum of angles = 180 and ∠A = ∠C

48 + A + C = 180

2A = 180 - 48 = 132

A = 132/2 = 66 = ∠C

As PB = PC ---> ∠PBC = ∠PCB = 24

∠ACB = 66 = ∠PCD + ∠PCB

66 = ∠PCD + 24

∠PCD = 42

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3 years ago

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Write -15.175 as a mixed number

Ksju [112]

-15 7/40

Convert a mixed number by placing the numbers to the right of the decimal over
1000.

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3 years ago

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Solve the equation. Then check your solution. 6 = negative 2 (10 n + 7)

kipiarov [429]

<em>Answer:</em>

<em>n = - 1</em>

<em>Step-by-step explanation:</em>

<em>Hi ! </em>

<em>6 = - 2(10n + 7)</em>

<em>6 = - 20n - 14</em>

<em>20n = - 6 - 14</em>

<em>20n = - 20</em>

<em>n = - 20 : 20</em>

<em>n = - 1</em>

<em />

<em>6 = - 2(10×-1 + 7)</em>

<em>6 = - 2(-10 + 7)</em>

<em>6 = - 2(-3)</em>

<em>6 = 6 (true)</em>

<em>Good luck !</em>

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3 years ago

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A cylinder has a height of 8.1 inches and circular base with a diameter of 2.7 inches. The cylinder contains 3 green spheres, ea

klasskru [66]

Answer:

A point is chosen at random inside the cylinder, then probability the point belongs outside of the spheres is 0.25

Step-by-step explanation:

Let's find volume of the cylinder and volume of the three spheres.

Volume of cylinder = $\pi r^{2} h$

Volume of sphere = $\frac{4}{3} \pi r^{3}$

Now, r =2.7

h=8.1

Find volume of each shape.

Volume of cylinder = $\pi (2.7)^{2} (8.1)$

=59.049 $\pi$

Now, volume of 3 spheres = $3*\frac{4}{3} *\pi *(2.7)^{3}$

=78.732 $\pi$

Now, p(E)= $\frac{Outcomes favorable to event E}{Total number of outcomes}$

So, Probability of point is chosen at random inside the cylinder which belongs outside of the spheres is

$\frac{78.732\pi -59.049\pi }{78.732\pi }$

Let's simplify them

0.25

A point is chosen at random inside the cylinder, then probability the point belongs outside of the spheres is 0.25

6 0

3 years ago