9. The vectors a and b have lengths 2 and 1, respectively. The vectors a +5b and 2a - 36 are Vectors a perpendicular. Determine the angle between a and b.

The measure of of the supplement angle would be 146°.

What is a radian?

The radian is the unit of angle in the International System of Units and is the standard unit of angular measure used in many areas of mathematics

Given is the angle 34°.

Let the measure of the supplement angle be {x}. So, we can write -

{x} + 34 = 180

{x} = 180 - 34

{x} = 146°

Therefore, the measure of of the supplement angle would be 146°.

without additional information, we cannot determine the exact dimensions of the rectangle with the maximum area.

To find the rectangle with the maximum area among all rectangles with a perimeter of 33, we need to consider the relationship between the width and length of the rectangle.

Let's denote the width of the rectangle as w and the length as l. The perimeter of a rectangle is given by the formula:

Perimeter = 2(length + width)

Given that the perimeter is 33, we can write the equation:

\(33 = 2(l + w)\)

Simplifying the equation, we have:

\(l + w = 16.5\)

To find the objective function in terms of the width, we need to express the area of the rectangle, A, as a function of w. The area of a rectangle is given by the formula:

Area = length × width

Substituting l = 16.5 - w (from the perimeter equation) into the area formula, we get:

\(A = (16.5 - w) *w\)

\(A = 16.5w - w^2\)

Therefore, the objective function in terms of the width, w, is A = 16.5w - w^2.

The interval of interest for the width, w, will be determined by the constraints of the problem. Since the width of a rectangle cannot be negative, we need to consider the positive values of w. Additionally, the sum of the width and length must be equal to 16.5, so the maximum value of w will be half of that, which is 8.25. Therefore, the interval of interest for the objective function is 0 ≤ w ≤ 8.25.

To find the rectangle that has the maximum area, we need to find the value of w within the interval [0, 8.25] that maximizes the objective function \(A = 16.5w - w^2\). To determine the length of the rectangle, we can use the equation l = 16.5 - w.

To find the exact value of w that maximizes the area, we can take the derivative of the objective function A with respect to w, set it equal to zero, and solve for w. However, since the dimensions were not specified, we cannot determine the specific length and width of the rectangle that has the maximum area without further information.

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Using a system of equations, the quantity of Type A coffee that Trey's Coffee Shop blended with Type B coffee was 78 pounds.

A system of equations or simultaneous equations is two or more equations solved concurrently, simultaneously, or at the same time.

Unit Cost Per Pound:

Type A coffee = $5.80

Type B coffee = $4.25

The total quantity of pounds of the blend = 142 pounds

The total cost of 142 pounds = $724.40

Let the number of Type A coffee = x

Let the number of Type B coffee = y

x + y = 142 ... Equation 1

5.8x + 4.25y = 724.40 ... Equation 2

Multiply Equation 1 by 4.25:

4.25x + 4.25y = 603.5 ... Equation 3

Subtract Equation 3 from Equation 2:

5.8x + 4.25y = 724.40

-

4.25x + 4.25y = 603.5

1.55x = 120.9

x = 78

Substitute x = 78 in either equation:

x + y = 142

78 + y = 142

y = 64

Thus, 78 pounds of Type A coffee was used for the mixture.

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Answer:

hello what is this all stuff you typed

The area of triangle DEF is given by the expression √[s(s - sin(a))(s - √√sin(a))(s - √sin(a))] which depends on the specific value of angle a.

To find the area of triangle DEF, we can use the formula for the area of a triangle given its side lengths.

Let's denote the side lengths of triangle DEF as a = sin(a), b = √√sin(a), and c = √sin(a).

According to Heron's formula, the area of a triangle with side lengths a, b, and c is given by:

Area = √[s(s - a)(s - b)(s - c)]

where s is the semi-perimeter of the triangle, given by:

s = (a + b + c) / 2

Substituting the values of a, b, and c into the formula, we have:

s = (sin(a) + √√sin(a) + √sin(a)) / 2

Now, we can calculate the value of s:

s = (sin(a) + √√sin(a) + √sin(a)) / 2

Next, we substitute the value of s into the formula for the area:

Area = √[s(s - sin(a))(s - √√sin(a))(s - √sin(a))]

Finally, we simplify the expression to find the area of triangle DEF. Since the expression involves trigonometric functions, it is difficult to provide an exact formula without knowing the specific value of angle a.

Therefore, the area of triangle DEF is given by the expression √[s(s - sin(a))(s - √√sin(a))(s - √sin(a))] which depends on the specific value of angle a.

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\(\boxed{\boxed{\pink{\bf \leadsto The \ co-ordinate\ of \ B \ is \ ( -1, -8) }}}\)

Given that, The midpoint of overline AB is M(-4, -7). If the coordinates of A are (−7,−6). And we need to find the coordinates of B. We know Midpoint formula is :-

\(\large\boxed{\red{\bf Midpoint = \bigg( \dfrac{x_1+x_2}{2} , \dfrac{y_1+y_2}{2}\bigg) }}\)

Let the co ordinates of B be (x , y ) .

Now , on substituting the respective values ,we have :-

\(\bf\implies Midpoint = \bigg( \dfrac{x_1+x_2}{2} , \dfrac{y_1+y_2}{2}\bigg) \\\\\bf \implies (-4,-7) = \bigg( \dfrac{x -7}{2} , \dfrac{y-6}{2}\bigg) \\\\\bf \implies \dfrac{x -7}{2} = (-4) \\\\\bf \implies x - 7 = -8 \\\\\bf\implies x = -8+7 \\\\\boxed{\red{\bf \implies x = (-1) }}\)

\(\implies \bf \dfrac{y-6}{2} = -7 \\\\\bf\implies y-6=-14 \\\\\bf\implies y = 6 - 14 \\\\\boxed{\red{\bf\implies y = -8}}\)

Hence the value of x coordinate is (-1) and y - coordinate is (-8) .

Answer:

52,5°

Step-by-step explanation:

0,5 × (135 - 30)

= 0,5 × (105)

= 52,5°

Step-by-step explanation:

this is how we response to these questions.

Answer:

77.3

Step-by-step explanation:

Cos = Adjacent/Hypotenuse

Adjacent = 2.25 & Hypotenuse = 10.25

So that means...

Cos = 2.25/10.25

*When you type in the calculator type Cos-1 (2.25/10.25).

The answer is 77.319....

When you round it, it would become 77.3°.

Hope it's helpful.

The piecewise function that models the scenario is:

c(x) = $3.75*x + $5   if x < 6

c(x) = $3.25*x + $5  if x ≥ 6.

A piecewise function is a function that behaves differently in different intervals of the domain, like this one, where the cost per box changes depending on the number of box.

The function in this case, if we define x as the number of boxes bought, is:

Where the cost per box changes for x equal or larger than 6.

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Answer:

1.) 3/4

2.) 1/3

3.) 3/7

4. 2/5

Step-by-step explanation:

Answer:

80696,tons

Step-by-step explanation:

let's assume 115280 tons is 100%

100% ‐ 30% = 70%

100% —> 115280tons

70% —> 115280tons ÷ 100 × 70

= 80695.999999997

= 80696 (round to nearest whole number)

The Walt Disney Company has successfully used related diversification to create value by leveraging its existing brand and intellectual properties to enter new markets and expand its product offerings.

Through related diversification, Disney has been able to extend its brand into various industries such as film, television, theme parks, consumer products, and digital media. By utilizing its well-known characters and franchises like Mickey Mouse, Disney princesses, Marvel superheroes, and Star Wars, Disney has been able to capture the attention and loyalty of consumers across different age groups and demographics.

For example, Disney's acquisition of Marvel Entertainment in 2009 allowed the company to expand its presence in the superhero genre and tap into a vast fan base. This strategic move not only brought in new revenue streams through the production and distribution of Marvel films, but also opened doors for merchandise licensing, theme park attractions, and television shows featuring Marvel characters. Disney's related diversification strategy has helped the company achieve synergies between its various business units, allowing for cross-promotion and cross-selling opportunities.

Furthermore, Disney's related diversification has also enabled it to leverage its technological capabilities and adapt to the changing media landscape. With the launch of its streaming service, Disney+, in 2019, the company capitalized on its vast library of content and created a direct-to-consumer platform to compete in the growing digital entertainment market. This move not only expanded Disney's reach to a global audience but also provided a new avenue for monetization and reduced its reliance on traditional distribution channels.

In summary, Disney's successful use of related diversification has allowed the company to create value by expanding into new markets, capitalizing on its existing brand and intellectual properties, and leveraging its technological capabilities. By strategically entering complementary industries and extending its reach to a diverse consumer base, Disney has been able to generate revenue growth, enhance its competitive position, and build a strong ecosystem of interconnected businesses.

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Yes, the ball reach a height of 25 meters from the ground , got the answer by solving equation given .

what is height ?

Height refers to the vertical distance between a point or an object and a reference level, usually the ground or a specific reference point. In the given context, height refers to the vertical distance of the ball from the ground at any given time, as modeled by the function h(t) = -5t² +7t+24.

In the given question,

h(t) = -5t² +7t+24

To find the time it takes for the ball to reach a height of 25 meters, we set h(t) equal to 25 and solve for t:

-5t² + 7t + 24 = 25

Simplifying, we get:

-5t² + 7t - 1 = 0

Using the quadratic formula, we get:

t = (-(7) ± √((7)² - 4(-5)(-1))) / (2(-5))

t = 1.4 seconds or t = 0.143 seconds (rounded to three decimal places)

Therefore, the ball will reach a height of 25 meters after 1.4 seconds or 0.143 seconds.

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Answer:

90

Step-by-step explanation:

If sum of two angles is 90, then they are called complementary angles.

Answer:

option 3

Step-by-step explanation:

Complementary angles sum to 90°

The angle of depression may be found by using this formula: tan y = opposite/adjacent. The opposite side in this case is usually the height of the observer or height in terms of location, for example, the height of a plane in the air. The adjacent is usually the horizontal distance between the object and the observer.

Answer:

Angle A: 60

Angle B: 30

Angle C: 90

Step-by-step explanation:

To figure out the angles, you need to set up an equation:

180 = x + x + 30 + x + 60

Add like terms:

180 = 3x+ 90

Solve for x

90 = 3x

divide by 3 to get x

30 = x

So, x is 30, and angle a is angle b plus 30, which is 60. angle c is x plus 60, which is 90.

:)

Answer:

Black socks pairs = 7

Brown socks pairs = 3

White socks pairs = 8

P(not black) = ?

First, you need to add the brown & white socks pairs,

\(3 + 8 = 11\)

Then you need to add the total number of socks pairs,

\(7 + 3 + 8 \\ = 7 + 11 \\ = 18\)

P(not black)

\( = \frac{11}{18} \)

Step-by-step explanation:

solution given:

total pair of socks[S]=(7+3+8)=18

total pair of black socks[B]=7

total pair of brown socks [C]=3

total pair of white socks[W]=8

total no of orange marbles[O]=2

now

the P( not black) =?

we have

P( not black) =1-\( \frac{n[B]}{n[S]} \)

P( not black) =1-\( \frac{7}{18} \)

P( not black) =\( \frac{18-7}{18} \)

P( not black) =\( \frac{11}{18} \)

so 11/18 is a required probabilty.

Answer:

C. 2A/b

Step-by-step explanation:

multiply both sides by 2

2A = bh

divide both sides by b

2A/b = h

The probability of P(sophomore | work) is 0.30.

Given that:

                         Sports       Drama     Work      Total

Sophomore        20                7             3            30

Junior                  20              13             2            35

Senior                 25                5             5            35

Total                   65                25           10          100

The probability is given as,

P = (Favorable event) / (Total event)

The probability of P(sophomore | work) is calculated as,

P = (3/100) / (10/100)

P = 3 / 10

P = 0.30

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When nine is divided by 60 , the quotient would be 0. 15 .

The quotient when nine is divided by 390 is 0. 023 or 3 / 130 .

The quotient refers to the result when a number is divided by another number as is the case with nine being divided by 60 .

The quotient is therefore :

= 9 ÷ 60

= 9 / 60

= 0. 15

The quotient for the division of nine by 390 is :

= 9 ÷ 390

= 9 / 390

= 0. 023

Another way to do this is to find the greatest common factor of nine and 390 which is 3 . Then use it to take the numbers to their simplest form. The quotient would then be :

= ( 9 / 3 ) / ( 390 / 3 )

= 3 / 130

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Answer:

f(1) = 2

Step-by-step explanation:

To find f(1), substitute x = 1 into f(x), that is

f(1) = 1² + 3(1) - 2 = 1 + 3 - 2 = 2

Answer:

£ 300

Step-by-step explanation:

P  = £2000

r = 5%

t = 3 years

Simple Interest = Prt

                         \(= \frac{2000 * 5 * 3}{100}\)

                        = 20 * 5 * 3

                        = £ 300

Answer:

300

Step-by-step explanation:

(2000×5×3)÷100

=£300

The length of the rectangle is 7 cm and the width is 5 cm.

The whole distance covered by the rectangle's borders or its sides is known as its perimeter. As we know the rectangle will have 4 sides then the perimeter of the rectangle will be equal to the total of its four sides. And the unit will be in meters, centimeters, inches, feet, etc.        

The formula for the Perimeter of the rectangle is given by

Here we have

The length of a rectangle is 2cm greater than the width of the rectangle

And perimeter of the rectangle = 24 cm

Let x be the width of the rectangle

From the given data,

Length of the rectangle = (x + 2) cm  

As we know Perimeter of rectangle = 2(Length+width)

=> Perimeter of rectangle = 2(x+2 + x) = 2(2x +2)

From the given data,

Perimeter of rectangle =  24cm

=> 2(2x +2) = 24 cm

=> (2x +2) = 12     [ Divided by 2 into both sides ]

=>  2x = 12 - 2

=>  2x = 10

=>   x = 5         [ divided by 2 into both sides ]  

Length of rectangle, (x+2) = 5 + 2 = 7 cm

Therefore,

The length of the rectangle is 7 cm and the width is 5 cm.

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Answer:

2+3=5(x-4) ,

=5(x-4)

=5x-4

=1x

Answer:

The answer is "\(\bold{9.19- 9.19\ i}\)"

Step-by-step explanation:

When the value of \(z_1\) has the following properties:

\(\to |z_1| =13\)

\(\theta = 315^{\circ} \\\\ = 1.75 \pi\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ _{where} \ \ (\pi = 180^{\circ})\)

Calculating the value of \(z_1\) :

\(= 13 \times [ \cos(1.75 \pi ) + i \sin(1.75 \pi) ] \\\\= 13 \times[\cos(1.75 \pi - 2\pi ) + \ i \sin(1.75 \pi - 2\pi )]\\ \\= 13 \times [\cos(-0.25 \pi ) +\ i \sin(-0.25 \pi) ]\\\\= 13 \times [0.707106781 - 0.707106781]\\\\ =9.19 - 9.19\ i \\\\\)

Jessica Bradley scored 806 points during the championship.

Let's assume Tina Harner scored x points during the championship. Since Jessica Bradley scored 81 more points than Tina Harner, her score can be represented as (x + 81).

According to the given information, the total points scored by both players combined is 1531. So we can set up the following equation:

x + (x + 81) = 1531

Combining like terms, we have:

2x + 81 = 1531

Subtracting 81 from both sides, we get:

2x = 1450

Dividing both sides by 2, we find:

x = 725

Therefore, Tina Harner scored 725 points during the championship.

To find Jessica Bradley's score, we can substitute the value of x back into the equation:

x + 81 = 725 + 81 = 806

So, Jessica Bradley scored 806 points during the championship.

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The sum of the scientific notation is 8.655 * 10^9

The standard form of a  scientific notation is expressed as A * 10^n

where

A is any value between 1 and 10

n is any integer

Given the expression below;

(8.42 x 10^9) + (2.35 x 10^8)

This can also be expressed as

(84.2 x 10^8) + (2.35 x 10^8)

(84.2+2.35) * 10^8

86.55 * 10^8

8.655 * 10^9

Hence the sum of the scientific notation is 8.655 * 10^9

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Answer:

40 divided by p

Step-by-step explanation:

hope that answers your question