What is the area of the shades region below

The perimeter of the octagon is 64 centimeters. To find the perimeter of the octagon, we need to determine the length of one side and then multiply it by 8 since an octagon has 8 equal sides.

Let's denote the side length of the octagon as "x". Since the four triangles are removed from a square piece of sheet metal, the remaining shape is also a square.

The area of the square is equal to the side length squared, so the area of the square piece of sheet metal is x^2. We are given that the total area of the removed material is 196 square centimeters. Since there are four triangles, the area of each triangle is 196/4 = 49 square centimeters.

The area of a triangle is equal to (base * height) / 2. In this case, the base and height of each triangle are equal to x, so we can write the equation as (x * x) / 2 = 49.

Simplifying the equation, we have x^2 = 98.

Taking the square root of both sides, we find x = √98 = √(49 * 2) = 7√2.

Finally, multiplying the side length by 8, we get the perimeter of the octagon: 8 * (7√2) = 56√2, which is approximately 79.4 centimeters.

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Step-by-step explanation:

Answer:

logarithmic function

Answer:

The formula for perimeter is 2l+2w, where l is the length and w is the width.

The formula for area is lw, where l is the length and w is the width.

Answer:

Step-by-step explanation:

Given : ∠1 ≅ ∠2

To prove : p║q

Solution :

In the figure attached,

                Statements                 Reasons

1). m∠1 ≅ m∠2                      1). Given

2) m∠1 ≅ m∠3                      2). Vertical angles

3) m∠2 ≅ m∠3                     3). Transitive property of congruence of the                                                     angles

4). Line p║q                         4). Corresponding angles are equal                                                                                     (m∠2 ≅ m∠3)

Answer:

eudora is wrong ^

Step-by-step explanation:

Statements: Reasons:

1). ∠1 = ∠2. 1). given

2). ∠1 and ∠3 are vertical ∠s. 2). def. of vertical ∠s

3). ∠1 = ∠3. 3). vertical angles theorem

4). ∠2 = ∠3. 4). transitive property

5). p ll q. 5). converse of corresponding angles theorem

Answer:

0.93

Step-by-step explanation:

6/6.48 = 0.92592592592592592592592592592593

Answer:0.92

Step-by-step explanation:

Calculator

Answer:

Length of ab = 10 units

Step-by-step explanation:

X1 = -2, X2 = -8

Y1 = -4, Y2 = 4

\(\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} } \\\sqrt{(-8 -(-2))^{2} + (4-(-4))^{2} } \\\sqrt{(-8+2)^{2} + (4+4)^{2} } \\\sqrt{6^{2} +8^{2}} \\\sqrt{36+64} \\\sqrt{100} \\10\)

Answer:

C

Step-by-step explanation:

A = 3 11/12

B = 3 2/3

C = 4 1/4

D = 3 3/4

4 1/4 is equivalent to 4 3/12.

Answer:

Hi what class is this in...

Step-by-step explanation:

Answer:

The coefficient in this equation is 1.7.

Hope this helps!

Step-by-step explanation:

1.7j - 3.4

1.7 is the Coefficient

j is the Variable

The - sign is the Operator

And 3.4 is the Constant.

Answer:

The average cost this year = $33,093.75

Step-by-step explanation:

The computation of the average cost this year is shown below:

Given that

The average cost for the last year = $31,250

Increased percentage = 5.9%

Based on the above information, the average cost this year is

= The average cost for the last year × (1 + Increased percentage)

= $31,250 × (1 + 0.059)

= $31,250 × 1.059

= $33,093.75

The required area is 12 cm².

A rectangle is a type of parallelogram having equal diagonals.

All the interior angles of a rectangle are equal to the right angle.

The diagonals of a rectangle do not bisect each other.

The given shape is there on a centimeter square grid.

The side of each square is 1 cm.

Then, it is clear from the figure that it consists of a rectangle of dimensions 4 × 2 and one triangle having height h = 2 cm and base b = 4cm.

Now, the area of the given shape is the sum of the area of the rectangle and the triangle.

It can be written as,

Area of the shape  = Area of rectangle + Area of triangle

                               = length × breadth + 1/2 × base × height

                               = 4 × 2 + 1/2 × 4 × 2

                               = 12

Hence, the area of the given shape is 12 cm².

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The required area of the given figure is 12 squared units.

Given that,
A figure has been shown we have to determine the area of the figure,

Surface area is defined as the measure of a region or surface is called as surface area.

Here,
The area of the given figure is given as,
Area = area of the rectangle + area of the larger triangle - area of the small triangle.
Area = 2 × 4 + 1/2 [6 × 2] - 1/2 [2×2]
Area = 8 + 3×2  - 2
Area = 8 + 6 - 2
Area = 14 - 2
Area = 12 squared units.

Thus, the required area of the given figure is 12 squared units.

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Answer:

140 degrees

Step-by-step explanation:

The angle is and obtuse angle, which means x (the angle) is greater than a 90°.

an obtuse angle goes up until 180°, and of you use the opposite angle to solve for x, you get the degree of angle x.

the other angle is stated, 40°

use 180 to find X°

180 - 40 = 140

Answer:

153 cubic feet

Step-by-step explanation:

V = kha .........where h is height and a area and V is volume

92 = k * 12 * 23

k = 92/(12*23) =1/3

if k, constant is 1/3

volume =1/3 * 17 * 27

=153 cubic feet

Answer:

The volume of pyramid is 153 cubic feet with a height of 17 feet and a base with an area of 27 square feet.

Step-by-step explanation:

Given :

\(\begin{gathered}\end{gathered}\)

To Find :

\(\begin{gathered}\end{gathered}\)

Solution :

Mathematically, the relationship between the three variables is given by the expression :

\(\longrightarrow{\sf{V \: \alpha \: kHA}}\)

\(\longrightarrow{\sf{V = kHA}}\)

\(\rule{200}2\)

Substituting all the given values in the formula to find k (constant) :

\(\begin{gathered} \qquad\longrightarrow{\sf{V = kHA}} \\ \\ \qquad\longrightarrow{\sf{92 = k \times 12 \times 23}} \\ \\ \qquad\longrightarrow{\sf{92 = k \times 276}} \\ \\ \qquad\longrightarrow{\sf{92 = 276k}} \\ \\ \qquad\longrightarrow{\sf{k = \dfrac{92}{276}}} \\ \\ \qquad\longrightarrow{\sf{k = \dfrac{\cancel{92}}{\cancel{276}}}} \\ \\ \qquad\longrightarrow{\sf{k = \frac{1}{3} \: feet}}\end{gathered}\)

Hence, the value of k (constant) is 1/3 feet.

\(\rule{200}2\)

Now, finding the volume of pyramid with height of 17 feet and a base with an area of 27 square feet by substituting the values in the formula :

\(\begin{gathered} \qquad\longrightarrow{\sf{V = kHA}} \\ \\ \qquad\longrightarrow{\sf{V = \dfrac{1}{3} \times 17 \times 27 }} \\ \\ \qquad\longrightarrow{\sf{V = \dfrac{1}{\cancel{3}} \times 17 \times \cancel{27 }}} \\ \\ \qquad\longrightarrow{\sf{V = 1\times 17 \times 9}} \\ \\ \qquad\longrightarrow{\sf{V = 17 \times 9}} \\ \\ \qquad\longrightarrow{\sf{V = 153 \: {feet}^{3} }}\end{gathered}\)

Hence, the volume of pyramid ks 153 cubic feet.

\(\rule{300}{2.5}\)

Answer:

8 should be the answer.

Step-by-step explanation:

4 × 2 = 8

The area of the parallelogram with vertices K(1,2,3), L(1,3,6), M(3,8,6), and N(3,7,3) is approximately 29.1547.

To find the area of the parallelogram, we need to find the length of one of its base vectors and the perpendicular height.

Let's first find one of the base vectors. We can take KL or MN as the base vector. Let's take KL.

The vector KL = L - K = (1, 3, 6) - (1, 2, 3) = (0, 1, 3).

Next, we need to find the perpendicular height of the parallelogram. We can do this by finding the cross-product of KL and KM, and then taking its magnitude.

The vector KM = M - K = (3, 8, 6) - (1, 2, 3) = (2, 6, 3).

Taking the cross product of KL and KM, we get:

KL x KM = |i j k|

|0 1 3|

|2 6 3|

= i(18) - j(6) + k(-2)

= (18, -6, -2)

The magnitude of KL x KM is:

\(|KL x KM| = √(18^2 + (-6)^2 + (-2)^2) = √(340) = 2*√(85)\)

Therefore, the area of the parallelogram is:

Area = base x height = |KL| x |KL x KM| = \(√(0^2 + 1^2 + 3^2) * 2√(85) = 2√(10)√(85) = 2√(850) ≈ 29.1547\)

So, the area of the parallelogram with vertices K(1,2,3), L(1,3,6), M(3,8,6), and N(3,7,3) is approximately 29.1547.

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Full Question: The Area of the Parallelogram with Vertices k(1,2,3), l(1,3,6), m(3,8,6), and n(3,7,3) is √265.

Divide -5 by 8

So 5/8 is 0.625. So, -5/8 is 0.625

Answer:

move all terms to the left side and set equal to zero. Then set each factor equal to zero.

\(y= n + m/ b-a\)

Step-by-step explanation:

It is possible to find DH based on the stated theorem

This rule states that if two secants are drawn from an external point to a circle, then the product of the measures of one secant's external part and that entire secant is equal to the product of the measures of the other secant's external part and that entire secant.

Mathematically:

Given the following parameters

CG=4 in

CH=5 in

GE=6 in

Substitute to check if we can find DH

(4+6)*4 = (5+DH)*5

10*4 = 25 + 5DH

40 - 25 = 5DH

15 = 5DH
DH = 3in

Therefore it is possible to find DH based on the stated theorem

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Answer:

C. 60

Step-by-step explanation:

it's counting times 2

To find the average rate of temperature decrease per hour during the day, we need to determine the total decrease in temperature and divide it by the number of hours.

To find the total decrease in temperature, we subtract the initial temperature from the final temperature:

Total decrease = Final temperature - Initial temperature

= (-1°F) - (25°F)

= -26°F

Next, we need to find the number of hours between 10 a.m. and 8 p.m. There are 10 hours from 10 a.m. to 8 p.m.

Now, we can calculate the average rate of temperature decrease per hour by dividing the total decrease by the number of hours:

Average rate of temperature decrease = Total decrease / Number of hours

= -26°F / 10 hours

= -2.6°F per hour

Therefore, the correct answer is option C : 2.6°F.

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Answer:

3.2

Step-by-step explanation:

6(1/√2)square +(1/√3)square

1 +(2/√3)square

3*3+1*1+4*1

3

3+4

3

14/7

2

Answer:

Q 1 is option B and q 2 is option D

Step-by-step explanation:

The approximate radius of the bike wheel is 11.0 inches.

If a bike wheel covers a total of 69.08 inches after one complete rotation, we can use the formula for the circumference of a circle to find the approximate radius of the bike wheel.

Circumference = 2piradius

where pi is approximately 3.14.

We are given that the circumference is 69.08 inches, so we can plug in these values and solve for the radius:

69.08 = 23.14radius

Dividing both sides by 2*pi, we get:

radius = 69.08 / (2*3.14) ≈ 11.0 inches

Therefore, the approximate radius of the bike wheel is 11.0 inches.

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Answer:6.56

Step-by-step explanation:

Answer:

Step-by-step explanation:

Length of the third board = Total length - ( sum of other two boards)

                                         = 21.35 - ( 8.2 + 6.42)

                                        = 21.35 - 14.62

                                       =      6.73 m

Answer:

8y + 9 = 6

Step-by-step explanation:

8 times a number (8y) and 9 (+9) equals 6 (=6)

Answer: ↓↓↓

Step-by-step explanation:

a. 8 + x + 2

Combine like terms

x + 10 or 10 + x

b. 14 + y - 6

Combine like terms

8 + y or y + 8

c. 7 - n + 10

Combine like terms

17 - n or -n + 17

Answer:

52%

Step-by-step explanation:

What percent of 200 is 104?

104/200 = 0.52

0.52 = 52%

This statement is true, if 2 is an eigenvalue of A, A - 21 is not invertible.

If 2 is an eigenvalue of matrix A, then A - 21 is indeed not invertible. An eigenvalue represents a scalar value that characterizes certain properties of a matrix. The eigenvalues of a matrix A can be obtained by solving the characteristic equation |A - λI| = 0, where λ is the eigenvalue and I is the identity matrix. In this case, if 2 is an eigenvalue of A, it means that A - 2I has a determinant of 0. Therefore, if we subtract 21 from A, we get (A - 21) - 2I, which still has a determinant of 0. Consequently, A - 21 is not invertible.

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