Evaluate the expression: 12-3x3-2
O 12
O9
O 25
0 1

The plane flies a distance of approximately 10.536 kilometers in straight line and with a bearing of approximately 035°.

A plane that travels a distance [tex]r[/tex], in kilometers, with a bearing of [tex]\theta[/tex] sexagesimal degrees can be represented in standard position by means of the following expression:

[tex]\vec r = r\cdot (\sin\theta, \cos \theta)[/tex] (1)

We can obtain the resulting vector ([tex]\vec R[/tex]) by the principle of superposition:

[tex]\vec R = \Sigma_{i=1}^{n} [r_{i}\cdot (\sin \theta_{i}, \cos \theta_{i})][/tex] (2)

If we know that [tex]r_{1} = 5\,km[/tex], [tex]\theta_{1} = 0^{\circ}[/tex], [tex]r_{2} = 6\,km[/tex], [tex]\theta_{2} = 60^{\circ}[/tex], [tex]r_{3} = 4\,km[/tex] and [tex]\theta_{3} = 120^{\circ}[/tex], then the resulting vector is:

[tex]\vec R = 5\cdot (\sin 0^{\circ}, \cos 0^{\circ}) + 6\cdot (\sin 60^{\circ}, \cos 60^{\circ}) + 4\cdot (\sin 120^{\circ}, \cos 120^{\circ})[/tex]

[tex]\vec R = (5\sqrt{3}, 6) \,[km][/tex]

The magnitude of the resultant is found by Pythagorean theorem:

[tex]\|\vec R\| = \sqrt{R_{x}^{2}+R_{y}^{2}}[/tex]

And the bearing is determined by the following inverse trigonometric relationship:

[tex]\theta_{R} = \tan^{-1} \left(\frac{R_{y}}{R_{x}}\right)[/tex] (3)

If we know that [tex]R_{x} = 5\sqrt{3}\,km[/tex] and [tex]R_{y} = 6\,km[/tex], then the magnitude and the bearing of the resultant is:

[tex]\|\vec R\| = \sqrt{(5\sqrt{3})^{2}+6^{2}}[/tex]

[tex]\|\vec R\| \approx 10.536\,km[/tex]

[tex]\theta_{R} = \tan^{-1} \left(\frac{6}{5\sqrt{3}} \right)[/tex]

[tex]\theta_{R} \approx 34.715^{\circ}[/tex]

The plane flies a distance of approximately 10.536 kilometers in straight line and with a bearing of approximately 035°.

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Answer:

1

Step-by-step explanation:

When dividing one fraction by another, the best way to solve it is to multiply by the reciprocal. The reciprocal just flipping the fraction over. So you would leave the 6/7 and the multiply by 14/12( because you are multiplying by the reciprocal). When you do that, you then can just multiply the top and the bottom to form one fraction. The numerator is 6*14 = 84, and the denominator is 7*14 = 84. So you are left with 84/84 which anything over itself is equal to one.

Hope this helps!

Answer:

yes

Step-by-step explanation:

Ratios are equivalent if they are multiples or divisors of each other.

5 : 2 ( multiply both sides by 6 )

= 30 : 12

or

30 : 12 ( divide both sides by 6 )

= 5 : 2

Thus 5 : 2 and 30 : 12 are equivalent ratios

Answer:

equivalent

Step-by-step explanation: 5 x 6 = 30      2 x 6 = 12

Answer:

20% is 184

100% is x

x= 184 • 100/20

x= 920

9−8.4=6

0.6≠6

False

I don't know...

Answer:

0.6 his answer is false.

Step-by-step explanation:

...

Answer:

(x - 10)(x + 2)

Step-by-step explanation:

We are looking for two things that multiply together to give us

x^2 - 10x - 20

These things are binomials, such as (x+2) or (x-7) or (x+8) or (x-5)

We know the first term in the binomial has to be x, because x times x is x^2.

And then we are looking for two numbers that multiply to -20 but also add up to -8.

-10 and 2 multiply to make -20 and add up to -8 so we pick the answer (x-10)(x+2)

Answer:

Option C

Step-by-step explanation:

x² - 8x - 20

x² - (10x - 2x) - 20

x² - 10x + 2x - 20

x(x - 10) + 2(x - 10)

(x - 10)(x + 2)

Hence

Option C is correct

From the computation done, the cost of the pound of fruits based on the information will be $5.45.

From the information given, it's stated that the cost of a bag of fruits is proportional to the number of pounds and that cost for 1 ⅕ pound of fruit is $6.54.

Therefore, to calculate the cost of a pound of fruit, this will be:

= 6.54 / 1 ⅕

= 6.54 / 1.2

= $5.45

Therefore, the pound of fruits cost $5.45.

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Answer:

Its the first one (top left option)

Step-by-step explanation:

ur in a rush so i wont explain, pls give me brainliest

Answer:

C (1,0)

Step-by-step explanation:

Answer:

C. (1,0)

Step-by-step explanation:

When you go 3 to the left, you end up at (0, -2). When you go up 2, you get (1,0).

Answer:

peter has $3.50

Step-by-step explanation:

3.50 times 2 is 7 plus 3 is 10

Answer:

a) (2x+3) (x+4)

b) (5x-3) (x-1)

c) (-2x-3) (x-3)

d) 3(x-1) (3x-8)

e) -2(3x+5) (x-2)

f)  h(4x-3) (3x-4)

g) -(x-3) (x+7)

h) (3x-2) (x+3)

i)  2(2x+1) (x-2)

j) (3h+2) (h-7)

Step-by-step explanation:

your welcome :)

Answer:

a)

(x+4)(2x+3)

b)

(x-2)(5x-3)

c)

(-x+3)(2x-3)

d)

3(x-1)(3x-8)

e)

2(-x+2)(3x+5)

f)

h(3x-4)(4x-3)

g)

(x+7)(-x+3)

h)

(x+3)(3x-2)

i)

2(x-2)(2x+1)

j)

(h-7)(3h+2)

Hope this helps!

Answer:

X-intercept at (1/2 ,0)

domain of (0, infinity)

Vertical asymptote of x = 0

Step-by-step explanation:

Plato I got it right on the test

Answer:

x=23/4, y=-33/4

Step-by-step explanation:

3x+y=9

7x+y=32

3x+y=9

y=9-3x

7x+y=32

7x+(9-3x)=32

7x+9-3x=32

4x+9=32

4x=23

x=23/4

3x+y=9

3(23/4)+y=9

69/4+y=9

y=-33/4

The solution set to the given system of linear equations is -

{x} = 5.75 and {y} = - 8.25.

Given is a system of linear equations as -

3x + y = 9

7x + y = 32 ​

We can write -

3x + y = 9

y = 9 - 3x

Now, we can write the equation as -

7x + y = 32

7x + 9 - 3x = 32

4x + 9 = 32

4x = 23

x = 5.75                         .... (1)

The, we can write {x} as -

y = 9 - 3 x 5.75

y = 9 - 17.25

y = - 8.25                         ... (2)

Therefore, the solution set to the given system of linear equations is -

{x} = 5.75 and {y} = - 8.25.

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Answer:

Step-by-step explanation:

Equivalent fractions for 1/4

From this chart, we can observe that the equivalent fractions of 1/4 are: 2/8, 3/12, 4/16,... Two fractions are said to be equivalent if their values (decimal/graphical) are the same. We usually multiply the numerator and denominator of a fraction by the same number to get its equivalent fraction.

The number of gallons of fuel required for 200 miles will be 6.7 gallons. The correct option is C.

In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.

Given that Becky is planning a two 100-mile trip to St. Louis to visit a college. Her car averages 30 miles per gallon.

The total miles covered in two trips will be,

100 + 100 = 200 miles

The amount of fuel will be calculated as:-

Fuel = 200 /  30

Fuel = 6.7 gallons

Therefore, the fuel quantity will be 6.7 gallons.

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Answer:

The answer is 90.

Step-by-step explanation:

90 is in the middle

Answer:

d

Step-by-step explanation:

cause i said so

Answer:

x = 55.6

Step-by-step explanation:

Recall the 3 main trig functions

Sin = opposite / hypotenuse

Cos = adjacent / hypotenuse

Tan = opposite / adjacent

Note that hypotenuse = longest side length

We want to find angle "x".

We are given its opposite side length ( 19 ) as well as the adjacent side length

When dealing with the opposite and adjacent we use tan

Tan = Opp / Adj

Opp = 19 and Adj = 13

Tan(x) = 19/13

* take the inverse tan of both sides *

x = 55.6

Answer:

f(x)=3n

Step-by-step explanation:

We can see it goes x=2 to y=6 this has been times by 3, x=-1 to y=-3 also times  by 3 and x=0 y=0 0x3=0

Answer:1. How can you tell by looking at each graph that a proportional relationship exists between the quantities?

relationship can be represented by the graph of a straight line through the origin with a slope equal to the unit rate. For each point (x, y) on the graph, ž is equal to k, where k is the unit rate. The point (1, k) is a point on the graph.

2. Find the constant of proportionality for each graph. Write your answer as y = kx.

y = kx or y = k/x, where k determines how the two variables are related to one another. This k is known as the constant of proportionality.

Step-by-step explanation:

Answer:

etra cheese

Step-by-step explanation:

mark me brainleist

If you swim diagonally across the rectangular pool, the distance you swim is 10 meters.

Given the following data:

To determine the distance you swim in meters, we would apply Pythagorean's theorem since the width is along the x-axis while the length is along the y-axis.

Note: The diagonal side of the rectangular pool represents the hypotenuse.

Mathematically, Pythagorean's theorem is given by the formula:

[tex]Hypotenuse^2 = Opposite^2 + Adjacent^2[/tex]

Substituting the given parameters into the formula, we have;

[tex]Hypotenuse^2 = 6^2 + 8^2\\\\Hypotenuse^2 = 36+64\\\\Hypotenuse^2 = 100\\\\Hypotenuse = \sqrt{100}[/tex]

Hypotenuse = 10 meters.

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Assuming you mean f(t) = g(t) × h(t), notice that

f(t) = g(t) × h(t) = cos(t) sin(t) = 1/2 sin(2t)

Then the difference quotient of f is

[tex]\dfrac{\frac12 \sin(2(t+h)) - \frac12 \sin(2t)}h = \dfrac{\sin(2t+2h) - \sin(2t)}{2h}[/tex]

Recall the angle sum identity for sine:

sin(x + y) = sin(x) cos(y) + cos(x) sin(y)

Then we can write the difference quotient as

[tex]\dfrac{\sin(2t)\cos(2h) + \cos(2t)\sin(2h) - \sin(2t)}{2h}[/tex]

or

[tex]\boxed{\sin(2t)\dfrac{\cos(2h)-1}{2h} + \cos(2t)\dfrac{\sin(2h)}{2h}}[/tex]

(As a bonus, notice that as h approaches 0, we have (cos(2h) - 1)/(2h) → 0 and sin(2h)/(2h) → 1, so we recover the derivative of f(t) as cos(2t).)

Answer:

9 = x + y

1x + 1.5y = 12

Step-by-step explanation:

9 (number of items) = x (number of pencils) + y (number of pens)

1x (cost of x number of pencils) + 1.5y (cost of y number of pen s)= 12 (total cost)

Answer:

9 because there the same length

Answer:

the measure of the seg CD is 9

Step-by-step explanation:

It is 9 because the shape is a parallelogram. One of the properties of a parall is that opposite sides are congruent which makes side BA equals side CD

Step-by-step explanation:

why ? you have started it correctly already, as I can see by the margins you made on the graph.

you analyzed the problem correctly, approached the solution correctly and gathered all necessary data.

so, I am not sure, what your problem is.

if you don't know what a slope is, then I don't understand why you did what you did so far.

the slope is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

for these 2 points you marked, you also showed that

x changes by +2 (from 2 to 4).

y changes by +6 (from -4 to 2).

so, the slope is +6/+2 = 3.

that's it. that is all to it.

Answer:

25 + 6 = 31

Step-by-step explanation:

Her actual pay is 3262

Her base rate is   2409               Subtract to get the amount over the base

Amount of + 25      853

So how many student more does that amount to?

853 / 136 = 6.27

If you have to round to the nearest integer, the answer is 6.

Answer:

Step-by-step explanation: