Ryan is building a deck in his backyard that is 5.5ft by 8.5ft. What is the total AREA of the deck?

The person is approximately 8.43 miles from home, and they need to walk in the direction of approximately 26.6 degrees east of north to head directly home.

To determine the distance from home, we can use the concept of vector addition. The person walks 4 miles west, which can be represented as a vector (-4, 0) in a coordinate plane. Then, they walk 5 miles southwest, which can be represented as a vector (-3.54, -3.54) since southwest is a combination of west and south. Adding these two vectors together gives us (-7.54, -3.54).

To find the magnitude or distance from home, we use the Pythagorean theorem. The distance is given by sqrt((-7.54)^2 + (-3.54)^2) = 8.43 miles (approximately).

To determine the direction to head directly home, we need to find the angle between the vector (-7.54, -3.54) and the positive x-axis. We can use trigonometry to find this angle. The tangent of the angle is given by the ratio of the y-coordinate to the x-coordinate, which is -3.54 / -7.54. Taking the inverse tangent of this value gives us approximately 26.6 degrees.

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The scatter plot shows negative correlation because as the plotted values of x increase, the values of y generally decrease.

When two variables are said to have negative correlation, it means that they move in the opposite direction from each other. When one variable is increasing, the other variable is decreasing.

The values of x and y in order of x are:

x  3     4    5   6   7   8   9  

y   6     7    5   4   3    4   2

As shown above, when x increases, y generally decreases and when x decreases, y generally increases. This is therefore a negative correlation relationship.

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The true statements from the graph are

From the question, we have the following parameters that can be used in our computation:

f(x) = pink

g(x) = purple

h(x) = green

Using the above and the graph as guides, we have the following:

h(x) > g(x) > f(x)

This means that

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Answer:

Thus, the equation of line for point (-1, 2)  is y = x + 3.

Step-by-step explanation:

Answer:

The equation of the line is y = x + 3.

Step-by-step explanation:

A line that is parallel to y=x+4 and passes through the point (-1,2) will have the same slope as y=x+4. The slope of y=x+4 is 1, so the equation of the line will be in the form y = mx + b, where m=1. To find b, we can plug in x = -1 and y = 2 into the equation and solve for b.

y = mx + b

y = 1 * -1 + b

y = -1 + b

b = y + 1

b = 2 + 1

b = 3

Answer:

It's an equilateral triangle.

Step-by-step explanation:

For starters, the angle measures of any triangle all add up to 180 degrees. Because 2 sides of this triangle are 60 degrees, the two sides added up would be 120 degrees. Because 180 - 120 = 60, the unknown side is 60 degrees. Because an equilateral triangle is a triangle where all the angles or sides are equal, and all of the angle measures of the triangle are equal, it is an equilateral triangle.

Answer:

-27/8

Step-by-step explanation:

Dividing fractions is the same as multipling the first fraction by the reciprocal of the second fraction (the numerator and denomiator are flipped).

= -3/4 x 9/2

= -27/8

You can simplify this if you want so it's not a mixed fraction

= -3 3/8

Answer:10

Step-by-step explanation:

I guessed

The area of the rectangle is 200 square cm

The radius of the circle is given as:

\(r = 5cm\)

The width of the rectangle is made by 2 circles (i.e. 4 radii).

So, we have:

\(Width = 4r\)

The length of the rectangle is made by 1 circle (i.e. 2 radii).

So, we have:

\(Length = 4r\)

The area of the rectangle is then calculated as:

\(Area =Length * Width\)

This gives

\(Area = 2r * 4r\)

\(Area = 8r^2\)

Substitute 5 for r

\(Area = 8 * 5^2\)

\(Area = 200\)

Hence, the area of the rectangle is 200 square cm

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Answer:

Hi

Step-by-step explanation:

Please paste your question so I can solve it

Thanks

Answer:

DC = 16.5, CM = 16.5

Step-by-step explanation:

The centroid, C, would be the midpoint of DM if DM was a line between the midpoint of a side and it's opposite vertex. So DC and CM are half of DM. Hope this helps.

Answer:

The answer is y=-1 (answer is C).

Answer:

D. 60.3

Step-by-step explanation:

Finding the mean,

M = (sum of values of data)/(number of data)

now, number of data = 9,

calculating the mean,

M = (54 + 68 + 68 + 54 + 59 + 58 + 68 + 57 + 57)/9

M = 543/9

M = 60.333

M = 60.3

Answer

5-6/6-5

Step-by-step explanation:

Answer:

the answer is 8115

Step-by-step explanation:

you do 9 times 34 which is 306. then u do 7754 minus 306 which is 7448. then u add 667 to that which is 8115.

Answer:

60

Step-by-step explanation:

180 - 120 = 60

Answer: The numbers that would be highlighted are 5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100. They would be highlighted because they are divisible by 5. Only 5 would be a prime number because all the other numbers are divisible by 5 as well so they wouldn't only have 1 and themselves as a divisor.

Answer:

Genotype: 100% rr
phenotype: 100% white

Step-by-step explanation:

since there are no dominant genes the cross will definitely be a rr genotype

The volume of the composite figure in this problem is given as follows:

76 ft³.

The volume of a rectangular prism, with dimensions defined as length, width and height, is given by the multiplication of these three defined dimensions, according to the equation presented as follows:

Volume = length x width x height.

The figure in this problem is composed by two prisms, with dimensions given as follows:

Hence the volume is given as follows:

2 x 6 x 3 + 2 x 4 x 5 = 76 ft³.

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Reflection across a line

A line defines points of reflection

points are ubicated at same distance with respect to line x=1

X coordinate remains equal

Y coordinate varies acording to

y - 2 (y-1 )

Then now find y coordinates

For C , y = 3- 2•(3-1) = -1

For D , y = 4 - 2•(4-1) = -2

For E, y = 5 - 2•(5-1) = -3

For F, y= 4 - 2•(4-1) = -2

Then new coordinates C',D',E',F' are

C' = ( 4,-1)

D' = ( 9,-2)

E '= ( 4,-3)

F'= ( 1, -2)

Answer:

is it two m plus eight m?

Answer: 3/8

Step-by-step explanation:

Answer:

  (C) 2.27 miles

Step-by-step explanation:

Without doing any detailed calculation, you can estimate the distance. The angle of 10° is 1/36 of the full circle of 360°. The circumference is given by the formula ...

  C = 2πr = 2(3.14)(13)

We want to find 1/36 of that circumference, which will be about ...

  C/36 = (3.14)(2)(13)/36 ≈ 3.14(2/3) ≈ 2

This is sufficiently accurate to determine that the best choice is (C).

__

If you want to use a calculator, you can figure the distance as ...

  C/36 = (3.14)(26/36) ≈ 2.26777...(repeating) ≈ 2.27 . . . miles

Step-by-step explanation:

a power supply, a load suited to the power supply, and wiring as a conductor

Answer:

power supply, a load suited to the power supply, and wiring as a conductor.

1. The x - intercepts of the parabola are

2. The meaning of the x-intercepts are the plane takes of at x = 2.5 s and lands at x = 7.5 s

3. The vertex of the parabola is at (5, 80).

A parabola is a curved shape

1. Given the parabola above, to find the x - intercepts, we proceed as follows.

The x-intercepts are the points at which the graph cuts the x-axis.

They are

2. The meaning of the x-intercepts in this problem are the points where the plane takes off and lands on the ground.

The plane takes of at x = 2.5 s and lands at x = 7.5 s

3. The vertex is the maximum point on the graph.

So, we see that the vertex is at x = 5 s and y = 80 ft

So, the vertex is at (5, 80).

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Answer:

21°

Step-by-step explanation:

In an sosceles trapezoid, the lower base and upper base angles are congurent

⇒ ∠HGF = ∠EFG

⇒ 9y + 3 = 8y + 5

⇒ 9y - 8y = 5 - 3

⇒ y = 2

⇒ ∠HGF = 9(2) + 3

= 18 + 3

= 21

The measure of angle HGF in the given isosceles trapezoid EFGH is calculated to be 21 degrees.

This problem deals with the properties of an isosceles trapezoid, which is a type of quadrilateral. In an isosceles trapezoid, opposite angles are equal. In this case, angle EFG and angle HGF would be equal to each other given the shape is an isosceles trapezoid. So, their measures should be equal.

Here, the measure of angle HGF is given as (9y + 3)°, and the measure of angle EFG is (8y + 5)°. Setting these equal to each other to find the value of y, we get 9y + 3 = 8y + 5. By simplifying, we get the value of y is 2. Substituting the found value of y in angle HGF we get, 9*2+3 = 21 degrees.

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The measure of each angle in the diagram are 4y° = -82°, (6y - 41)° = 164°, (3x + 2)° = 98°, 2(x + 17)°= 98

Each of the pairs of opposite angles made by two intersecting lines is called a vertical angle.

Two lines are intersecting each other at a point making two pairs of vertical angles.

The pair of vertical angles are equal in measure.

4y° = (6y + 41)° [Vertical angles]

4y - 6y = 41

2y = -41-----(1)

(3x + 2)° = 2(x + 17)° [Vertical angles]

(3x + 2)° = 2x + 34°

x = 32 ------(2)

Therefore, 4y° = -82°

(6y - 41)° = 164°

(3x + 2)° = 98°

2(x + 17)°= 98

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Answer:

96 and 288

Step-by-step explanation:

So, we need to find 2 numbers such that their sum is 8 and they do not have common factor (Relatively prime). Both these numbers will be divisible by 48 but there would be no other common divisor (after dividing by 48).

Such order independent pairs are (1,7) and (3,5).

Difference between them would be (7–1)*48=6*48 and (5–3)*48=2*48 respectively.

The differences are 6*48=288 and 2*48=96.

We have found difference without finding numbers.

Ans.: 96 and 288

p.s.: The number pairs (again order neutral) would be (48, 336) and (144, 240)

Difference for 48 and 336 add up to 384, their HCF is 48. These two numbers match the conditions. Their difference is 288.

Difference of 144 and 240 add up to 384, their HFC is 48 (the numbers are 48*3 and 48*5, common factor is 48 and no other common factor for 3 and 5; 48 is HCF). The difference is 96.

The required answers are 1) \($$A = x^2 + 28x + 192$$\) 2) 300000 3) \($$x^2 + 28x + 192 = (x + 14 - 2\sqrt{19})(x + 14 + 2\sqrt{19})$$\).

area of the land purchased is given as 480m², and the dimensions of the land are (x+12)mx(x+16)m. Therefore, the area of the land can be expressed as:

\($$A = (x+12)(x+16)$$\)

Expanding this expression, we get:

\($$A = x^2 + 28x + 192$$\)

Hence, the area of the land purchased is given by the polynomial expression \($x^2 + 28x + 192$\).

The total budget for the expenses is Rs. 5,00,000. If Mr. Chand's daughter is ready to share 3/5 of the expenses, then the fraction of the expenses she will pay is:

\($\frac{3}{5}=\frac{x}{500000}$$\)

Simplifying this expression, we get:

\($x = \frac{3}{5}\times 500000 = 300000$$\)

Therefore, Mr. Chand's daughter will pay Rs. 3,00,000 towards the expenses.

We can solve the polynomial \($x^2 + 28x + 192$\) into different factors by using the quadratic formula:

\($x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$\)

Here, the coefficients of the polynomial are:

\($$a = 1, \quad b = 28, \quad c = 192$$\)

Substituting these values in the quadratic formula, we get:

\($x = \frac{-28 \pm \sqrt{28^2 - 4\times 1 \times 192}}{2\times 1}$$\)

Simplifying this expression, we get:

\($$x = -14 \pm 2\sqrt{19}$$\)

Therefore, the polynomial \($x^2 + 28x + 192$\) can be factored as:

\($$x^2 + 28x + 192 = (x - (-14 + 2\sqrt{19}))(x - (-14 - 2\sqrt{19}))$$\)

or

\($$x^2 + 28x + 192 = (x + 14 - 2\sqrt{19})(x + 14 + 2\sqrt{19})$$\)

So, we have factored the polynomial into two factors.

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