A large aircraft is flying on a bearing of 310° (50° west of north) with an airspeed of 700 mph. It is being affected by a 100 mph wind
blowing towards the west, as shown in the diagram below.

The distance, R, as indicated in the diagram, that the plane has travelled after 1 hour is, to the nearest mile,

Answer:

35°

64.267 ft

78.455 ft

Step-by-step explanation:

The given situation can be modeled as a right triangle (see attached).

The interior angles of a triangle sum to 180°

⇒ angle at Jamie's position = 180° - 90° - 55° = 35°

To find the other measures (distances), we can use trig ratios.

[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]

where:

To find the distance from Rachael to Jamie:

[tex]\implies \sf \tan(55^{\circ})=\dfrac{x}{45}[/tex]

[tex]\implies \sf x=45\tan(55^{\circ})[/tex]

[tex]\implies \sf x=64.267\:ft\:(nearest\:thousandth)[/tex]

To find the distance from Lance to Jamie:

[tex]\sf \implies \cos(55^{\circ})=\dfrac{45}{y}[/tex]

[tex]\sf \implies y=\dfrac{45}{\cos(55^{\circ})}[/tex]

[tex]\sf \implies y=78.455\:ft\:(nearest\:thousandth)[/tex]

An angle measuring 480° is coterminal with a 120° angle.

This classification represents angles that do not present the same value, but they present vertices and sides are identical. Also, if the angles are coterminal, then their sines, cosines and tangents are equal.

A coterminal angle can be found from the formula β = α ± 360 * w, where w is a positive integer.

Thus,

        β = 120 ± 360 * 1

        β = 120 ± 360

       Then, β can be 120+360=480° or 120-360= -240°

        β = 120 ± 360 * 2

        β = 120 ± 720

       Then, β can be 120+720=840° or 120-720= -600°

       Therefore, the answer to this question is option D.

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Answer:

100

Step-by-step explanation:

Given Average After writing a last test=90

let the last test score be x

Now given

[tex] \frac{80 + 85 + 100 + 85 + x}{5} = 90[/tex]

[tex]80 + 85 + 100 + 85 + x = 450[/tex]

[tex]x + 350 = 450[/tex]

[tex]x = 100[/tex]

I hope it helped you

Answer:

6/10

Step-by-step explanation:

divide the numerator and denominator by ten to remake the hundredths as tenths

Using it's concept, it is found that there is a 0.25 = 25% probability that the first ruler will have centimeter markings and the second one will not.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem:

Thus, the probability is given by:

[tex]P(A \cap B) = P(A)P(B|A) = \frac{15}{25} \times \frac{10}{24} = 0.25[/tex]

0.25 = 25% probability that the first ruler will have centimeter markings and the second one will not.

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Answer:

Step-by-step explanation:

12 +4 - (-4)=13

12 +4 +4 =13

20 =13

20-13 =0

7=0

Is there any particular answer you need this channelled to?

Answer:

$10,004  ??

Step-by-step explanation:

y = the amount of profit

x= Number of widget.

We know that,

The maximum value of a function  only when the value of

Here a= -15 and b=1039

Plug them into x=-(b)/2(a)

y=(-15)(-1039/-30)^2+1039(-1039/-30)-7988

y=10004.016  round up to nearest dollar

y=$10,004

Using the binomial distribution, it is found that she should expect to roll the number cube 46 times.

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The expected number of trials until q successes is:

[tex]E_s(X) = \frac{q}{p}[/tex]

In this problem:

Then:

[tex]E_s(X) = \frac{23}{0.5} = 46[/tex]

She should expect to roll the number cube 46 times.

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Answer:

answer is 46.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer would be C.

The number sentence that represents the amount of change Kate receives back is $20.00 - $18.92 = $1.08, The correct option is C)

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that;

For daises= $6.99

For soil potting =$3.98

For ceramic pot= $7.95

Now,

The correct answer is C) $20.00 - $18.92 = $1.08.

To find the amount of change Kate receives back, we need to subtract the total cost of her purchases from the amount of money she has. The total cost of her purchases is:

$6.99 + $3.98 + $7.95 = $18.92

Kate has $20.00, so we can find the amount of change she receives back by subtracting the total cost of her purchases from $20.00:

$20.00 - $18.92 = $1.08

Therefore, by algebra answer will be $1.08.

More about the Algebra link is given below.

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Answer:

8, 10

Step-by-step explanation:

hopes this helps!

PLS GIVE ME BRAINILIEST

Answer:

630

Step-by-step explanation:

Just add 90 seven times. (90+90+90+90+90+90+90=630) Hope this helps! Have a good day/night.

Answer:

7 x 90 = 630

Step-by-step explanation:

If you're not sure how to solve it, i will help you!!

Write it like this on paper:

90

x 7

now multiply them diagonal, for example, you would multiply 0 x 7, and then write it down, and it gives you this:

90

x 7

  0

then you would multiply 9 times 7, which is 63, and put it in front of the 0, so you would have something like this:

90

x 7

630

Also i think you might be too young to be on here-

Step-by-step explanation:

Degree of a monomial is nothing but the sum of values of powers of the variables in given expression

1)4x²

DEGREE=2

2) 6abc= 6a¹b¹c¹

DEGREE=1+1+1=3

3) 2xy=2x¹y¹

DEGREE=1+1=2

4)a²b²

DEGREE=2+2=4

5) xyz³=x¹y¹z³

DEGREE=1+1+3=5

I hope it helped you

Answer:

1. 2

2. 3

3. 2

4. 4

5. 5

Step-by-step explanation:

The dregree is related to the exponent.

Every problem you have 1-5 shows a monomial. A monomial is a sinlge number, or a number multiplied by 1 or more variables.

The degree of a monomial is the sum of the exponents of all the variables of the monomial.

A variable is a letter. In these 5 problems, the variables are a, b, c, x, y, z.

If a variable has no exponent written, then its exponent is 1.

1. 4x²

There is one variable. The exponent on the variable is 2. The degree is 2.

2. 6abc

There are 3 variables, a, b, and c. Each variable has exponent 1 even though we do not write the 1. This expression is the same as 6a^1b^1c^1. Add the exponents: 1 + 1 + 1 = 3. The degree is 3.

3. 2xy

Rewrite, or think of it as, 2x^1y^1. Add the expoenents: 1 + 1 = 2. The degree is 2.

4. a²b²

Add the exponents: 2 + 2 = 4. The degreee is 4.

5. xyz³

Rewrite as or think of it as: x^1y^1z³. The sum of the exponents is 1 + 1 + 3 = 5. The degree is 5.

The length of arc JL is approximately 15.08 units.

We have,

The length of an arc in a circle can be calculated using the formula:

Arc Length = (θ/360) * 2πr

where θ is the central angle in degrees, r is the radius of the circle, and 2π is approximately 6.28.

In this case, we are given the central angle JKL = 144° and the radius JK = 6 units.

Plugging in the values, we have:

Arc Length = (144/360) * 2π * 6

Arc Length ≈ (0.4) * 6.28 * 6

Arc Length ≈ 15.072 units

Rounded to the nearest hundredth,

The length of arc JL is approximately 15.08 units.

Thus,

The length of arc JL is approximately 15.08 units.

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Answer :

=> (AB)² + (AC)² = (BC) ²

=> (AC)² = (BC)² - (AB)²

=> (AC)² = (4√5)² - (2√5)²

=> (AC)² = 80 - 20

=> (AC)² = 60

=> AC = √60

=> AC = 2√15

Answer:

(- 1, - 7 )

Step-by-step explanation:

substitute the x- coordinate into the equation and if the value obtained is equal to the y- coordinate, then it is a solution

(2, 0 ) → y = 2(2) - 5 = 4 - 5 = - 1 ≠ 0 ← not a solution

(- 1, - 7 ) → y = 2(- 1) - 5 = - 2 - 5 = - 7 → solution to equation

(- 9, - 2 ) → y = 2(- 9) - 5 = - 18 - 5 = - 23 ≠ 2 ← not a solution

(1, 3 ) → y = 2(1) - 5 = 2 - 5 = - 3 ≠ 3 ← not a solution

Steps in the process of completing the square used to solve the given equation were discussed.

Given equation is:

[tex]5x+1=2x^{2} +9x[/tex], which is a quadratic equation

Any equation of the form [tex]ax^{2} +bx+c=0[/tex] is called a quadratic equation where [tex]a\neq 0[/tex].

Taking all terms to the left side of the equation:

[tex]-2x^{2} -9x+5x+1=0[/tex]

[tex]-2x^{2} -4x+1=0[/tex]

[tex]2x^{2} +4x=1[/tex]

[tex]2(x^{2} +2x)=1[/tex]

To complete the square let us add 2 both sides

[tex]2(x^{2} +2x)+2=3[/tex]

[tex]2(x+1)^2=3[/tex].....(1)

So, equation (1) is the required answer.

Hence, steps in the process of completing the square used to solve the given equation were discussed.

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Answer:

A, B, D

Step-by-step explanation:

Answer:

196 science books

Step-by-step explanation:

Check the attachment.

The total number of sicience books were 196.

Ratio is a term that is used to compare two or more numbers. It is used to indicate how big or small a quantity is when compared to another. In a ratio, two quantities are compared using division.

Let the total numbers of science books be x and maths books be y.

According to the given question.

The intial ratio of maths books to the science books is 3:7.

⇒ [tex]\frac{y}{x} = \frac{3}{7}[/tex] ...(i)

But, after the addition of 84 maths books the ratio gets changed to 6:7.

[tex]\implies \frac{y +84}{x} = \frac{6}{7}[/tex] ...(ii)

Solving the equations i and ii.

From equation i.

[tex]7y = 3x[/tex]

And from equation ii

[tex]7y + 7(84) = 6x[/tex]

Substitute the value of 7y = 3x in the above equation.

[tex]3x + 588 = 6x[/tex]

[tex]\implies 588 = 6x -3x[/tex]

[tex]\implies 3x = 588[/tex]

[tex]\implies x = \frac{588}{3}[/tex]

[tex]\implies x = 196[/tex]

Hence, the total number of sicience books were 196.

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Answer:

The answer is A

Step-by-step explanation:

I worked it out with all of the options A is the correct answer.

Answer:

I think its 6 and a half, not sure tho

Answer:5x^4

Step-by-step explanation: Simplify the radical by breaking the radicand up into a product of known factors, assuming real numbers

Answer:

3 + (1.50 x m) = c

m stands for amount of miles driven, c stands for total cost.

Answer:

x = 1247/77

Step-by-step explanation:

25x + 1 + 52 + 2 =1250

25x + 3 + 52x = 1250

77x + 3 =  1250

77x + 3 - 3 = 1247

Answer:

13.72

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

5x + (- x) - 1 = 11 - 2x , that is

5x - x - 1 = 11 - 2x

4x - 1 = 11 - 2x ( add 2x to both sides )

6x - 1 = 11 ( add 1 to both sides )

6x = 12 ( divide both sides by 6 )

x = 2

Answer:

The value of x is 2

Step-by-step explanation:

=> 5x + (-x) - 1 = 11 - 2x

=> 5x -x -1 = 11 - 2x

=> 4x - 1 = 11 - 2x

=> 4x+2x = 11+1

=> 6x = 12

=> x = 12/6

=> x = 2

Answer:

My suggestions could be to;

→ Study

→ Ask for help to the teacher

→ Ask for help to your parents

→ Ask for help to your older siblings

→ Ask your parents to get a tutor for you

→ Pray to our lord and savior Jesus Christ to help you succeed algebra 1

Step-by-step explanation:

Hope this helped! :^)

⭐Brainliest will be appreciated!⭐

✉️Message me if you have any more questions!✉️

- ✨7272033Alt✨

Answer:

median = 3.5

Step-by-step explanation:

the median is the middle value of the data sey. If there is no exact middle then it is the average of the values either side of the middle.

listing the values from the data set

1 , 1 , 2, 3 ,  4 , 4 , 4 , 5

               ↑ middle

median = (3 + 4) ÷ 2 = 7 ÷ 2 = 3.5