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4. If a car is traveling 20' west of straight south, what is its true bearing? Draw a diagram to
show the path of the car. (10.9 Approaching)
5. If a plane is traveling 30" north of straight west, what is its true bearing? Draw a diagram to
show the path of the plane (10.9 Approaching)

Answer:

The equation in standard form is [tex]y(t) = 5.390\cdot \sin (4\pi\cdot t +0.379\pi)[/tex].

Step-by-step explanation:

We use the following trigonometric identity:

[tex]\sin (\alpha + \beta) = \sin \alpha\cdot \cos \beta + \cos \alpha \cdot \sin \beta[/tex], [tex]\forall\,\alpha,\beta\in \mathbb{R}[/tex] (Eq. 1)

If we have formula [tex]y(t) = 2\cdot \sin (4\pi\cdot t)+5\cdot \cos (4\pi\cdot t)[/tex], by direct comparison with (Eq. 1):

[tex]A\cdot \cos \phi = 2[/tex] (Eq. 2)

[tex]A\cdot \sin \phi = 5[/tex] (Eq. 3)

Where:

[tex]A[/tex] - Amplitude, dimensionless.

[tex]\phi[/tex] - Phase angle, measured in radians.

By dividing (Eq. 3) by (Eq. 2), we get that:

[tex]\tan\phi = \frac{5}{2}[/tex]

[tex]\phi = \tan^{-1}\left(\frac{5}{2} \right)[/tex]

[tex]\phi = 0.379\pi\,rad[/tex]

From (Eq. 2) we find the amplitude:

[tex]A = \frac{2}{\cos \phi}[/tex]

[tex]A = \frac{2}{\cos 0.379\pi}[/tex]

[tex]A = 5.390[/tex]

Therefore, we find that equation in standard form is:

[tex]y(t) = A\cdot \sin (\omega\cdot t +\phi)[/tex] (Eq. 4)

Where [tex]\omega[/tex] is the angular frequency, measured in radians per second.

([tex]A = 5.390[/tex], [tex]\omega = 4\pi\,\frac{rad}{s}[/tex], [tex]\phi = 0.379\pi\,rad[/tex])

[tex]y(t) = 5.390\cdot \sin (4\pi\cdot t +0.379\pi)[/tex]

Answer:

eight divided h 8 '/. h

Step-by-step explanation:

[tex]\frac{8}{h}[/tex]

An algebraic expression is one that is constructed using integer constants, variables, and algebraic operations.

A quotient is a quantity that is obtained by dividing two numbers.

Phrase is "The quotient of eight and a number [tex]h[/tex]"

Quotient of eight and [tex]h[/tex] means [tex]8 \div h[/tex] that is equivalent to [tex]\frac{8}{h}[/tex]

The phrase can be written as [tex]\frac{8}{h}[/tex]

For more information:

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Answer:

A triangle measures 180° , so you do 50°+40° =90° then you do 180°- 90° = 90° , Therefore your answer is A. Hope this helps bye:)

Answer:

90

180-40-50=90

the triangle have 180 angle so 180 minus with 40 and 50 and you will get the m<B angle

Answer:

Step-by-step explanation:

Given that the banker base annual salary  $75,000

1. a 2.35% commission on $2.8 million is

=(2.35/100)*2,800,000

=0.0235*2,800,000

=$65800

2.  a fee of $3.75 for each 2,750 applications processed

     =3.75*2,750

     =$10312.5

the banker's earning is $75,000+$65800+$10312.5

=$151112.5

to the nearest dollar

=$15,1113

Answer:

k=24

Step-by-step explanation:

k/6=4 (multiply both sides by 6)

k/6(6)=4(6)

k=24

k= 24 is the answer

Step-by-step explanation:

6×4=24

Answer:

125%

Step-by-step explanation:

i have an answer of that

Answer:

y = mx +  b is slope interform but you didn't supply a problem to put into it

Given:

The value of y is directly proportional to the value of x.

y = 45 when x = 180.

To find:

The value of y when x = 80.

Solution:

Since the value of y is directly proportional to the value of x, therefore

[tex]y\propto x[/tex]

[tex]y=kx[/tex]      ...(i)

where, k is constant of proportionality.

Putting y=45 and x=180, we get

[tex](45)=k(180)[/tex]

[tex]\dfrac{45}{180}=k[/tex]

[tex]k=\dfrac{1}{4}[/tex]

Substituting [tex]k=\dfrac{1}{4}[/tex] in (i), we get

[tex]y=\dfrac{1}{4}x[/tex]

Put x=80 in this equation.

[tex]y=\dfrac{1}{4}(80)[/tex]

[tex]y=20[/tex]

Therefore, the value of y is 20 when x=80.

Answer:

1.   21z² - 35nz + 56n²

2.   18y + 8

3.   12z³ - 24z² + 28z

4.   56c³ + 14c²g + 21cg²

5.   21p⁵ + 42p⁴- 63p³

6.   35g⁴ + 14g³ + 21g²

7.   54c² - 27cz

8.   24n² + 15n + 18

9.   40k⁴ + 16k³p + 24k²p²

10.   45z⁵ - 36z⁴h - 63z³h²

Plz mark brainliest :)

Answer:

(9+3)*6

Step-by-step explanation:

Remember the order of operation: (PEMDAS)

Problem: (9+3)*6

Step 1 add 9+3 =12

Step 2 multiply 12*6

Step 3 your answer to solving the problem 72

Answer:

c to a a to f

Step-by-step explanation:

The length of the apothem of the regular octagon will be equal to 1.75 cm

The regular octagon is the shape made up of the 8 sides or also the combination of the 8 isosceles triangles connected together side by side.

Here it is given:

Area of the Octagon = [tex]10.15\ cm^2[/tex]

The side of the octagon=1.45 cm

As we know that the octagon consists of the 8 isosceles triangles so the area of one triangle will be

[tex]= \dfrac{10.15}{8} =1.27\ cm^2[/tex]

Now the area of the isosceles triangle is given as:

[tex]A=\dfrac{1}{2} \times h\times b[/tex]

[tex]1.27=\dfrac{1}{2} \times h\times 1.45[/tex]

[tex]h=1.75\ cm[/tex]

Thus the length of the apothem of the regular octagon will be equal to 1.75 cm

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Answer:

the answer is b

Step-by-step explanation:

Answer:

x=3...

Step-by-step explanation:

Given:T is the midpoint of SU.....

To find: x

Proof: ST=TU ( T is the midpoint of SU)

         8x+11=12x-1

         11+1=12x-8x

          12=4x

           12/4=x

             x=3.

Answer:

You will need 3 buses and you will not have any seats left.

Answer:

x= -3

Step-by-step explanation:

you replace y with -2 as the output

then subtract the 7 on both sides to have '-9=3x'

divide by 3 on both sides

x= -3

Answer:

x=-3

Step-by-step explanation:

y=3(-3)+7

y=-9+7

y=-2

Answer:

d= approx 10.2956

Step-by-step explanation:

d=sqrt of (7+2)^2 + (8-3)^2

d=sqrt of [81+25]

d=sqrt of 106

d = approx. 10.2956

The experimental probability of drawing blue is 1/2. Then, option A is correct.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of sample

It is given that a bag has 10 marbles-3 red, t blue, and 2 violets. The blue marbles will be 5. One marble is drawn and then replaced, and this action is repeated 10 times.

The probability is calculated as:-

P = 5 / 10 = 1 / 2

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#SPJ2

Answer:

11

Step-by-step explanation:

Given the following question:

[tex]17,9,11,7[/tex]

To find the mean of any given data set we need to add all the values together and then divide that answer by the total amount of values in the data set.

[tex]17,9,11,7[/tex]
[tex]17+9+11+7[/tex]
[tex]9+11=20[/tex]
[tex]20+17=37[/tex]
[tex]37+7=44[/tex]
[tex]=44[/tex]

Now divide the answer by the total amount of values:
[tex]44[/tex]
[tex]a=4[/tex]
[tex]44\div4=11[/tex]
[tex]m=11[/tex]

Which means the mean of this given data set is "11."

Hope this helps.

Answer:

Step-by-step explanation:

The mean is the average number of the data.

To calculate the mean of the data, divide the sum of the data by the total numbers in the data. The quotient will be the average of the data.

[tex]\dfrac{17 + 9 + 11 + 7}{\text{Total digits in the data}}[/tex]

We can see 4 digits included in the data. Thus, the sum of the data will be divided by 4.

[tex]\dfrac{17 + 9 + 11 + 7}{4}[/tex]

Now, let's solve for the mean.

[tex]\dfrac{17 + 20 + 7}{4}[/tex]

[tex]\dfrac{44}{4} = 11[/tex]

Thus, 11 is the mean.

Answer:

|(x/4) - 10| or (x/4) - 10

hope this helps!!!

Answer:

Hope this help you!!

Have a good day

Answer:

a

Step-by-step explanation:

b is in the thousandths place, c is over 1.05, and d is no were near in between them

Answer:

1.01

Step-by-step explanation:

0.62 is equivalent to 62/100

0.6 is equal to 60/100, so 0.6 is not the answer.

0.065 is equal to 65/1000

0.6 is equal to 60/100, or 600/1000, so 0.065 is not the answer.

1.1 is equal to 1 and 10/100, while 1.05 is equal to 1 and 5/100, so 1.1 is not the answer.

Therefore, using the process of elimination, 1.01 is the answer.

Answer:

x is 76

Step-by-step explanation:

im pretty sure, i just sloved it

Answer:

76.

Step-by-step explanation:

Simplifying

-4(x + -26) = -200

Reorder the terms:

-4(-26 + x) = -200

(-26 * -4 + x * -4) = -200

(104 + -4x) = -200

Solving

104 + -4x = -200

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-104' to each side of the equation.

104 + -104 + -4x = -200 + -104

Combine like terms: 104 + -104 = 0

0 + -4x = -200 + -104

-4x = -200 + -104

Combine like terms: -200 + -104 = -304

-4x = -304

Divide each side by '-4'.

x = 76

Simplifying

x = 76

Answer:

Step-by-step explanation:

Answer:

The mistake was -9, the answer is 1x -6

Step-by-step explanation:

3 (x - 6) + (4x + 12) - 6x =

3x - 18 + 4x + 12 - 6x = (use distributive property for this step)

3x + 4x - 6x - 18 + 12 = (rearrange so like terms are easy to find)

1x - 6 (use addition and subtraction to get the final answer)

I hope this helps you :)

Answer:

3.164

Step-by-step explanation:

Given the area if the circle used by Sarah expressed as

A = πr²

Given

A = 50.265

r = 4

To get π, we will substitute the given values into the formula as shown

50.625 = π{4)²

50.625 = 16π

π = 50.625/16

π = 3.164

Hence her approximate value to nearest thousandth is 3.164

Answer: ASA, AAS

Step-by-step explanation:

Considering the situation described, the scientist's null and alternative hypothesis are described by:

Null hypothesis [tex]H_0: \mu = 0[/tex]; Alternative hypothesis [tex]H_1: \mu \neq 0[/tex].

At the null hypothesis, it is tested if there is no difference, that is, the difference of the means represented by [tex]\mu[/tex] is of 0, hence:

[tex]H_0: \mu = 0[/tex]

At the alternative hypothesis, it is tested if there is a difference, hence:

[tex]H_1: \mu \neq 0[/tex]

More can be learned about an hypothesis test at https://brainly.com/question/26454209

Answer:

the answer is the first one

Answer:

A

Step-by-step explanation:

area: 36 units²

[tex]\hookrightarrow \sf 9 \ * \ 4[/tex]

[tex]\hookrightarrow \sf 36 \ units^2[/tex]

Area:-

Answer:

Percent: Approx 41.6%

Fraction: 10/24 = 5/12

10 in 24

Step-by-step explanation:

There are 10 red balloons out of a total of 24. The rest is self-explanatory.

Hope this helps! Have a great day!

9514 1404 393

Answer:

  ∠2 = 45°

Step-by-step explanation:

Angles 1 and 2 are same-side interior angles where the transversal crosses parallel lines. That means they are supplementary angles.

  ∠1 +∠2 = 180° . . . . . supplementary angles total 180°

  135° +∠2 = 180° . . . . substitute the given value

  ∠2 = 180° -135° . . . .  subtract 135°

  ∠2 = 45°

Answer:

The numbers are 14 and 16.

Step-by-step explanation:

Equation:

x (x - 2) = 224

Solution:

x (x - 2) = 224

x² - 2x = 224

x² - 2x - 224 = 0

Now, we ended up with a trinomial. To find the two numbers, we need to factor it.

Factoring Trinomials

Trinomial is a polynomial with three terms which are connected by plus or minus notations. It is expressed as a² + b + c.

To factor, we need to follow these steps:

1. Find the factors of "ac" that when combined it will result to "b".

2. When "c" is positive, the sign in each binomial is the same as "b".

3. When "c" is negative, the sign in each binomial is different.

4. Write as the product of two binomials ( )( ).

Let us continue.

x² - 2x - 224

(x - 16)(x + 14)

Therefore, x = 16 and x = -14.

Since we are looking for a positive value, we are going to use the positive value of x and that is 16.

Larger number is 16.

x - 2 = 16 - 2 = 14

Smaller number is 14.

Final Answer:

The two numbers are 14 and 16.

Checking:

x (x - 2) = 224

16 (16 - 2) = 224

16 (14) = 224

224 = 224 ✔