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zhenek [66]
3 years ago
12

Find the area of the shaded region.

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
3 0

1. If we join another radius to the shaded area, we will notice that the triangle has all sides 4 units, making it an equilateral triangle.

2. Equilateral triangle has all angles 60°

-

Area of 1 sector = 60/360 x π (4)² = 8.38 units²

-

\text {Area of equilateral triangle =} \dfrac{\sqrt{3}}{4}  \text{(4)}^2 = 6.93 \text{ units}^2

-

Area of 1 shaded part = 8.38 - 6.93 = 1.45 units²

Area of all shaded part = 1.45 x 2 = 2.9 units²

-

Answer: 2.9 units²

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Find the areas of the trapezoids
Sholpan [36]

Answer:

12 units²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = \frac{1}{2} h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₂ the parallel bases

Here h = 4 ( perpendicular distance between the bases ) and

b₁ = SR = 2, b₂ = TA = 4 , then

A = \frac{1}{2} × 4 × (2 + 4) = 2 × 6 = 12 units²

5 0
2 years ago
May I have some help?
chubhunter [2.5K]
For whatcha problem hun
8 0
3 years ago
Work out the height of a parallelogram with a base of 10m and an area of 60m2
noname [10]
Area formula of a parallelogram is
        A = base x height

Given are the
Area = 60 m² and base = 10 m

 Substitute the given:

60 = 10h  (divide by 10 to find value of h)
\frac{60}{10} = \frac{10h}{10}  (10 and 10 cancels out)

h = 6
The height of a parallelogram with a base of 10m and an area of 60m² is 6m

3 0
3 years ago
I only need 12 and 17, first good response i will give brainliest please i’m desperate
Mumz [18]

Answer:

\textsf{12.} \quad y = 6x - 5

\textsf{17.} \quad y=-\dfrac{1}{4}x-2

Step-by-step explanation:

<h3><u>Question 12</u></h3>

Find the slope of the line by substituting two points from the given table into the slope formula.

<u>Define the points</u>:

  • Let (x₁, y₁) = (2, 7)
  • Let (x₂, y₂) = (3, 13)

\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{13-7}{3-2}=\dfrac{6}{1}=6

Substitute the found slope and point (2, 7) into the point-slope formula to create an equation of the line:

\implies y-y_1=m(x-x_1)

\implies y-7=6(x-2)

\implies y-7=6x-12

\implies y=6x-5

<h3><u>Question 17</u></h3>

Given:

  • f(4) = 3
  • f(0) = -2

Therefore, two points on the line are:

  • (4, -3)
  • (0, -2)

The y-intercept is the y-value when x = 0.

Therefore, the y-intercept of the line is -2.

\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}

Substitute the y-intercept and the point (4, 3) into the slope-intercept formula and solve for <em>m</em> to find the slope:

\implies y=mx+b

\implies -3=m(4)-2

\implies -1=4m

\implies m=-\dfrac{1}{4}

Therefore, the equation of the line is:

y=-\dfrac{1}{4}x-2

7 0
10 months ago
Can someone help with this please
grigory [225]

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients. The polynomial is x³- 7x² - 6x + 72.

<h3>What is a polynomial?</h3>

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.

The polynomial using the given information can be made as shown below.

Given the zeros of the polynomial are -3, 4, and 6.

P(x) = (x+3)(x-4)(x-6) = x³- 7x² - 6x + 72

To check the end behaviour of the function, the graph of the function can be plotted as shown in the below image.

Hence, the polynomial is x³- 7x² - 6x + 72.

Learn more about Polynomials:

brainly.com/question/27343162

#SPJ1

4 0
2 years ago
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