Please solve for 1,2 and 3

Answer:

bearing of A from C is - 65.24°

the distance |BC| is 187.84 m

Step-by-step explanation:

given data

girl walks AB = 285 m (side c)

bearing angle B = 78°

girl walks AC = 307 m (side a)

solution

we use here the Cosine Law for getting side b that is

ac² = ab² + bc² - 2 × ab × cos(B)     ...............1

307² = 285² + x²  - 2 × 285 cos(78)

x = 187.84 m

and

now we get here angle θ , the bearing from A to C get by law of sines

sin (θ) =

sin (θ) =  0.5985  

θ = 36.76°

and as we get here angle BAC that is

angle BCA = 180 - ( 36.76° + 78° )

angle BCA = 65.24°

and here  negative bearing of A from C so - 65.24°

Step-by-step explanation:

Answer:

-9 ÷ 3 = -3

Step-by-step explanation:

is this what you need?

The statement "Every complex number has both a real part and an imaginary part" is always true.

Every complex number is defined as a number of the form "a + bi," where "a" represents the real part and "bi" represents the imaginary part.

The real part "a" is a real number, and the imaginary part "bi" is a multiple of the imaginary unit "i," where "i" is defined as the square root of -1.

Even if a complex number has a zero imaginary part, it is still considered to have both a real and an imaginary part.

In that case, "a" represents the real part, and the imaginary part "bi" becomes zero.

For example, the complex number 3 + 0i is a real number (3) and can be represented as having a real part of 3 and an imaginary part of 0i.

In conclusion, every complex number by definition consists of both a real and an imaginary part, making the statement "Every complex number has both a real part and an imaginary part" always true.

To learn more about the complex number;

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Answer:

Step-by-step explanation:

Answer:

It would be B because the letters are not in a straight line.

Step-by-step explanation:

Have a good day!!

Answer:

Answer:

7.2 pounds of apples

10.75 pounds of pears

4.22 pounds of strawberries

Step-by-step explanation:

The population density of the city which is the ratio of population size and the land area is 1419 people per square mile.

The population of the city on 2015 can be calculated thus :

The population of a city is calculated using the relation :

Therefore, the population density is 1419 people per square mile.

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Answer:

24m

Step-by-step explanation:

8+10=6=24 because you add to find perimeter.

Answer:

Perimeter = 24 m

Step-by-step explanation:

Perimeter = S +S+S

=(8+10+6)

=24m

Hope that this is helpful. Have a nice day.

Answer:

You answer can be written for Solving X two different ways

The inquitly form is

x[tex]\geq[/tex]-6

Interval Notation is

{-6,∞)

Step-by-step explanation:

In order to graph put a close dot on the number -6 and then color your line to the right of the number line.  Because the infinity sign is positive so all the number after the -6 is positive. So a close dot on the number -6 and then draw a line or color a line to the right of the number line

Answer:

m < 2 = 38°

Step-by-step explanation:

The exterior angle with the measure of < 38° corresponds to m < 2 (as they are corresponding angles that lie on the same side of the transversal). Therefore, m < 2 = 38°.

Answer:

9 hours

Step-by-step explanation:

just do 441/7 and then you get 63 miles per hour

and then you divide 567/63 and you get 9!

easy peasy hope I helped

Answer:48

Step-by-step explanation: pretty easy

Answer:Question? :c

Step-by-step explanation:

Answer:

what's the problem?

ma'am/Sir

Answer:

1. 46.125

Step-by-step explanation: Is your second one in the right format? I don't understand what it is asking.  For the first one, however, you need to free the y being multiplied to 8 and so you are going to undo it by dividing 369 by 8.

She can have at least 3 and at most 6 dog treats in a day

River can have - n = 10/y number of treats to remain in her calorie range, where the calorie range is [y] calories.

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written as -

Ax + By + C = 0

By = - Ax - C

y = (- A/B)x - (C/A)

We have the following problem -

River has new treats that are 10 calories each. how many of the new treats can she have and remain in her calorie range.

Assume the calorie range to be [y] calories and assume she can have [n] number of treats. We can write the linear function as -

10n = y

OR

y = 10n

This this the equation of the straight line. She can have -

n = 10/y

number of treats to remain in her calorie range.

Therefore, River can have - n = 10/y number of treats to remain in her calorie range.

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Answer:

32 alternative forms: 2⁵

Step-by-step explanation:

Answer:

f(-1)=32

Step-by-step explanation:

f(x) =8(3-x)

f(-1)=8(3-(-1))

f(-1)=8(3+1

f(-1)=8*4

f(-1)=32

Answer: -2/6

Step-by-step explanation:

give me more details. that's a bit confusing

Answer:

sorry I also dont understand

Answer:

x=3

Step-by-step explanation:

g(x)=2x+1,

When g(x)=7

g(x)=2x+1,

7=2x+1

7-1=2x

x=6/2

x=3

Answer:

B. 5 in.

Step-by-step explanation:

Answer:

either 8 or 4

Step-by-step explanation:

because it can't be 6 or 5

Answer: 65x + 325y = 550

The correct reason for each step in the solution of the equation would be as follows:

12 − 5x + 6x = 4 - Given

12 + x = 4 - Combine Like Terms

x= −8 - Subtraction Property of Equality

Hope this answers the question. Have a nice day.

Answer:2x²-2x + 6 - (-3x)

Step-by-step explanation:

Answer:

1.2 mph

Step-by-step explanation:

3/5 = 0.6

Multiply 0.6 by 2 to find the distance gone in a whole hour

0.6*2 = 1.2

Answer:

Below.

Step-by-step explanation:

Disagree.

The + 4 translates the parent function 4 units to the left ( not up).