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igor_vitrenko [27]
3 years ago
10

Type your response in the box.

Mathematics
1 answer:
zysi [14]3 years ago
7 0

Step-by-step explanation:

<u>Pattern 1</u> :

Arithmetic Sequence

Common term = 4

<u>Pattern 2</u> :

Geometric Sequence

Common ratio = 2

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Circle O has a circumference of 36tt cm. what is length of the radius r
allochka39001 [22]

Answer:

5.73cm

Step-by-step explanation:

Given parameters:

Circumference of the circle = 36cm

Unknown

Length of the radius = ?

Lets represent the radius by r

Solution

The circumference of a circle is the defined as the perimeter of a circle. The formula is given as:

            Circumference of a circle = 2πr

Since the unknown is r, we make it the subject of the formula:

           r = \frac{circumference of the circle}{2π}

          r = \frac{36}{2 x 3.142} = \frac{36}{6.284} = 5.73cm

3 0
3 years ago
Read 2 more answers
Find the value of X. Round to the<br> nearest tenth. <br> 7.4in <br> 2.4in<br> x
Darya [45]

Answer:

4.4 inches

Step-by-step explanation:

Here, we are interested in calculating the value of x.

Mathematically, a line that comes from the center of the circle and extends to a chord, divides the chord into two equal parts.

This means what we have is a right angled triangle with the radius being the hypotenuse, the half of the length of the chord as the other side of the triangle.

3.7 is half the length of the chord i.e 7.4/2

Thus;

using Pythagoras’ theorem

x^2 = 2.4^2 + 3.7^2

Pythagoras’ posited that the square of the hypotenuse is equal to the sum of the squares of the other two sides of the triangle.

Thus;

x^2 =5.76 + 13.69

x^2 = 19.45

x = √(19.45)

x = 4.41 inches which is 4.4 inches to the nearest tenth

6 0
2 years ago
Read 2 more answers
Calculate the rate of change from the graph below
qaws [65]

Answer:

The rate of change is 0.75 gallons per minute

Step-by-step explanation:

The rate of change of the linear relation is represented by the slope of the line which represents this relation

The rule of the slope of a line is

m = Δy/Δx, where

  • Δy is the vertical change
  • Δx is the horizontal change

From the given graph

∵ The line passes through points (0, 0) and (4, 3)

∴ Δx = 4 - 0 = 4

∴ Δy = 3 - 0 = 3

→ Use the rule of the slope above to find the slope of the line

∴ m = \frac{3}{4} = 0.75

∵ The x-axis represents the time in minutes

∵ The y-axis represents the amount in gallons

∵ m represents the rate of change

∴ The rate of change = 0.75 gallons per minute

7 0
3 years ago
A bottom of a 6 foot deep circular pool has an area of 452.4 ft. If the pool is only
inna [77]

Answer:

450.4

Step-by-step explanation:

6 0
3 years ago
1.7 degrees Fahrenheit drops every thousand feet. The temperature on the ground is 63.7 Fahrenheit. What will the temperature be
Oksanka [162]

Answer:

The answer to your question is  Final temperature = 60.3°F      

Step-by-step explanation:

I include the process in the attachment

8 0
3 years ago
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