A boat traveled north for 28 miles, then turned x° southwest and traveled for 25 miles before stopping. When it stopped, the boat was 18 miles from its starting point. A triangle shows the course of a boat. Starting at the dock, it travels 18 miles to the left, then 25 miles up and to the right, and then 28 miles down and back to the dock. The angle between 25 miles and 28 miles is x degrees. Law of cosines: By how many degrees did the direction of the boat change when it made its first turn? Round to the nearest degree. 30 degrees 39 degrees 46 degrees 50 degrees.

Answer:

The unknown number is -5

Step-by-step explanation:

Let n represent the unknown number then...

3n=-15

Divide both sides by 3

(3n)/(3)=(-15)/(3)

n=-5

Answer:

  right triangle

Step-by-step explanation:

I find it convenient to answer questions like this by computing a "form factor" that subtracts the square of the long side from the sum of the squares of the shorter sides. The sign of this value is the sign of the cosine of the largest angle in the triangle.

  f = a² +b² -c²

  f = 11.2² +21² -23.8²

  f = 125.44 +441 -566.44 = 0

The cosine of the largest angle is 0, so that angle is 90° and the triangle is a right triangle.

Answer:

each avocado is 0.85 cents

Step-by-step explanation:

you will subtract  $8.54 and $5.99 and you will get $2.55 then, when you get that and you will divide $2.55 by 3 and the total will come out to 0.85 so that means that each avocado is 84 cents

Three-dimensional objects

the outer diameter: 10 cm, r₁ = radius = 5 cm

the inner diameter: 9 cm, r₂ = 4.5 cm

volume of metal:

[tex]\tt =\dfrac{4}{3}\pi(r_1^3-r_2^3)\\\\=\dfrac{4}{3}\pi(5^3-4.5^3)\\\\=141.952\:cm^3[/tex]

Answer:

Here we have a problem with translations, where we define a translation as an operation that moves the graph of a function in a given direction.

We will see that the correct option is A.

"The graph of f is shifted 3 units up to create the graph of g."

To get this, we first need to describe vertical translations.

For a function f(x) we define a vertical translation (or vertical shift) of N units as:

g(x) = f(x) + N

If N is positive, the translation is upwards

if N is negative, the translation is downwards.

So here we have:

g(x) = f(x) + 3

So we can see that this is a translation of 3 units upwards, then the correct option is A, the graph of f(x) is shifted (or translated) 3 units up to greater the graph of g(x).

And the graphs of g(x) = x + 3 and f(x) = x can be seen below, where you can see this, where the grey line is g(x).

Step-by-step explanation:

Answer:

5 and 15

Step-by-step explanation:

15+5=20

5x4=20

Answer:

4 (3)/(8) + 5(6)/(10)

Step-by-step explanation:

4 3/8= 35/8

5 6/10 = 28/5

= 9 39/40

Answer:

did yall ever find the answer

Step-by-step explanation:

Answer:

(6,-1)

Step-by-step explanation:

Hi there!

We are given the following system:
x-2y=8

8x+6y=42

And we want to solve it by substitution

Substitution is where we solve one of the equations in the system for a variable for an expression containing the other variable, then substitute that expression into the other equation, then solve the equation for that variable, then use the value of the solved variable to find the value of the first variable.

It's easier to solve a system for a variable if the leading coefficient in front of a variable is 1, like with x in x-2y=8

So let's solve the equation for x.

add 2y to both sides

x-2y=8
 +2y +2y
________________
x=2y+8
Now substitute 2y+8 as x in 8x+6y=42

8(2y+8)+6y=42

Multiply

16y+64+6y=42

Subtract 64 from both sides

16y+6y=-22
Add 16y and 6y together

22y=-22

Divide both sides by 22

y=-1

Substitute -1 as y into x=2y+8 to solve for x

x=2(-1)+8

Multiply

x=-2+8

x=6

The answer is x=6, y=-1, or as a point, (6, -1)
Hope this helps!

See more on solving systems of equations by substitution here: https://brainly.com/question/26559381

Step-by-step explanation:

1. [tex]x+6 + 3x + 2 + 2x + 4[/tex]

Combine Like Terms:

Answer: [tex]6x+12[/tex]

G

2. [tex]6x + 4 + 7x + 1 + 5x + 7[/tex]

Combine Like Terms:

Answer: [tex]18x+12[/tex]

B

3. [tex]4x-3 + 3x + 5x - 6[/tex]

Combine Like Terms:

Answer: [tex]12x-9[/tex]

I

4. [tex]6x - 8 + 3x + 7 + 5x - 3[/tex]

Combine Like Terms:

Answer: [tex]14x-4[/tex]

H

Your code is, GBIH

Answer: ur answer would be 27283

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

The reason is from the triangle midsegment theorem in which the midsegment end up being half of the third side knowing that Rt is 18cm then VW is 9

Answer:

1:7 , 2:14, 4:28, 8:56

Step-by-step explanation:

Ratios act just like fractions, because of this, you can simplify ratios just as you would simplify a fraction. In addition, because they asked for the ratio of boys to girls, we know that they want the (number of boys): (number of girls)

HOPE THIS HELPS!!!

Answer: the asnwer is 80 degrees

Step-by-step explanation:

Answer:

1/2b - 5 (the third one)

Step-by-step explanation:

"Denni is five years less..."

this tells us we will need to be subtracting five, which knocks out the other answers.

"..one-half his brothers age."

since b represents the age of his brother, one half his brothers age is 1/2b  

That leaves us with 1/2b - 5

We are given –

We are asked to find, how much Carlos owns and how much they have together.

Explanation :-

At first, we just need to multiply 45 by 5, and then we will divide the value by 9, so we find that:

[tex]\qquad[/tex][tex] \bf \longrightarrow 45 \times 5 = 225[/tex]

[tex]\qquad[/tex][tex] \bf \longrightarrow \dfrac{225}{9} = 25[/tex]

Now to find out how much they have together. We have to add Paul's amount to Carlos' amount for that.

[tex]\qquad[/tex][tex] \bf \longrightarrow 25 + 45 = 70[/tex]

Answer:

5330

------------

  73

Step-by-step explanation:

1- Transform the expression

2- Calculate

Answer:

1.85%

Step-by-step explanation:

→ Find the difference between the actual and predicted

5.5 - 5.4 = 0.1

→ Divide answer by 5.4

0.1 ÷ 5.4 = 0.01851851851

→ Multiply answer by 100

0.01851851851 × 100 = 1.85%

Answer:

The state itself is 50% of the total height.

Explanation:

Well, if the height including the base is 300 ft, that'd mean the total height of the statue itself is (300-150) ft = 150 ft.

Thus, it is (150/300)*100% = 50% of the total height.

The nth term of an arithmetic sequence is given by:—

an = a + (n – 1)d

So, to find the nth term, substitute the given values a = 2 and d = 3 into the formula

[tex]4(3x + 5) - 5(8x + 2) \\ 12x + 20 - 40x - 10 \\ 12 x - 40x + 20 - 10 \\ - 28x + 10[/tex]

Answer:

Hello again, as I said in your previous question, I don't have any other information to possibly answer this. They must have sold a lot of tickets to get that much money. How many people bought the tickets? How much does one ticket cost?

Hope this helped, please provide more information next time to properly answer you :)

Answer:

4-6 not sure where but around 4-6 maybe 5 pounds

Step-by-step explanation:

hope this helps

Answer:

Its 4.4 pounds.

Step-by-step explanation: To find the answer you would just divide the amount she spent and the price per pound.

Answer:

C) 3

Step-by-step explanation:

The number of significant figures in a measurement basically means how many decimal digits there are after the decimal point. Since the decimal portion of the measurement is 050, there are 3 digits, so there are 3 significant figures in the measurement

Answer:

$620

Step-by-step explanation:

====================================================

Explanation:

The set of given numbers sorts to this

11, 50, 72, 78, 80, 81, 85, 89, 94, 96, 97, 98

The majority or main cluster of the values are between 50 and 98. The outlier 11 is off on its own pretty far from the main cluster.

Let's find the mean of every value in this set. If you added up all the numbers, then you should get 931. Divide this over the number of values (12) and the mean of this set is roughly 931/12 = 77.5833

Now let's kick out the outlier 11. The 931 will drop to 931-11 = 920. Divide that new smaller sum over the 12-1 = 11 items left to get 920/11 = 83.6364 approximately.

--------------

To summarize so far:

We see that the mean has increased. This is because the outlier was pulling down on the mean to make it smaller than it should be. Once the outlier is out of the picture, the new mean will increase and better represent the center of the main cluster.

Answer:

Try 11.25 miles

Step-by-step explanation:

Answer:

Step-by-step explanation:

A parallelogram has these characteristics that can be useful for answering this question:

__

Opposite sides are the same length: a parallelogram

__

Two isosceles triangles share a base segment. Not necessarily a parallelogram.

__

The diagonals bisect each other: a parallelogram

__

Opposite sides are parallel: a parallelogram. We know BD║AC from the converse of the alternate interior angles theorem. AB and CD are marked parallel.