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N76 [4]
3 years ago
11

Find the area of the shaded region. Round to the nearest tenth.

Mathematics
1 answer:
sukhopar [10]3 years ago
7 0

Answer:

Step-by-step explanation:

r = 8.35 ft

area of circle = πr² = 69.7225π ft²

θ = 5π/9 radians

area of unshaded segment = r²(θ-sinθ)/2 ≅ 26.51 ft²

shaded region = 69.7225π - 26.51 ≅ 192.53 ft²

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Andru [333]
I think a but not sure but i hope i helped :D
8 0
3 years ago
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The table shows the input and output of a function Table(input:3,4,6,11. Output:5,7,11,21) (a) Explain what makes this set of da
Maslowich

Answer:

(a) The data set is a function, since for each input value {3,4,6,11} there is a single output value {5,7,11,21}

(B) A function is a mathematical relationship that associates one or more inputs with a single output value. So that the data set is not a function, there should be - for one or more values ​​of the input - more than one output.

for example, if for the input value {3} there were two outputs {5, -5} then, the data set would not be a function.

The frelation y ^ 2 = x is not a function because:

When x = 1, y = +1 and y = -1.

(c) The set of data provided can be represented by the equation of a line of the form y = mx + b

The slope is:

m=\frac{y_2-y_1}{x_2-x_1}

m =\frac{7-5}{4-3}

m = 2

b = y_1-mx_1

b = 5 - 2*3

b = -1

Then, the function is:

y = 2x-1

You can substitute any of the points shown in the equation and check that equality is satisfied, for example:

(11 , 21)

y = 2 (11) -1

y = 22-1

y = 21. The equation is satisfied. The same goes for the rest of the values.

4 0
3 years ago
What is the value of x in the equation 3- 2x = -1.5х?
Vika [28.1K]

Answer:

x = 6

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define Equation</u>

3 - 2x = -1.5x

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Add 2x on both sides:                    3 = 0.5x
  2. Divide 0.5 on both sides:               6 = x
  3. Rewrite:                                           x = 6

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in<em> x</em>:                    3 - 2(6) = -1.5(6)
  2. Multiply:                               3 - 12 = -9
  3. Subtract:                              -9 = -9

Here we see that -9 does indeed equal -9.

∴ x = 6 is the solution to the equation.

6 0
2 years ago
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A man paid $42.30 for gasoline in may, $38.60 in June, and $43 in July. What was the average monthly cost for gasoline?
jeyben [28]
The average is $41.30 
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3 years ago
Wendall designs a tower with a height in feet that can be represented by the function T(x) = 9(x + 6.9), where x is the height o
Vinil7 [7]

Answer:

G(T(x)) = 27(x + 6.9)

Step-by-step explanation:

Given

T(x) = 9(x + 6.9)

G(x) = 3x

Required [Missing from the question]

G(T(x))

We have:

G(x) = 3x

This implies that:

G(T(x)) = 3(T(x))

Substitute: T(x) = 9(x + 6.9)

G(T(x)) = 3[9(x + 6.9)]

Open bracket

G(T(x)) = 27(x + 6.9)

6 0
3 years ago
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