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Answer:

α = 164.5387822595581°

Step-by-step explanation:

Calculate dot product:

a · b = ax · bx + ay · by = 5 · (-7) + (-4) · 3 = - 35 - 12 = -47

Calculate magnitude of a vector:

|a| = ax2 + ay2 = 52 + (-4)2 = 25 + 16 = 41

|b| = bx2 + by2 = (-7)2 + 32 = 49 + 9 = 58

Calculate angle between vectors:

cos α =   a · b

|a|·|b|

cos α =   -47

41 · 58

 = -  47

2378

√2378 ≈ -0.9638111202541978

α = 164.5387822595581°

Answer:

n = -1

Step-by-step explanation:

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Answer:

n = -1

Step-by-step explanation:

7 (n + 4) = 21

28 + 7n = 21

28 + -28 + 7n = 21 - 28

7n = -7

n = -1

wait it is proportional

Answer:

The function is:

y = 150*x

where y is the number of calories consumed, and x is the number of pieces of candy consumed.

Now, the domain of a function is the possible values of x that you can input in the function.

For this particular case you can have:

x = 0 (no pieces candy)

x = 1 (one piece of candy)

x = 2 (two pieces of candy)

Notice that x can be only whole numbers because, in principle, you can't eat a fraction of a piece of candy.

So we only use x = whole numbers.

Then the domain of the function is equal to all the natural numbers plus the zero, or:

D = {x ∈ N ∪ {0}}

"x belongs to the union between the set of the natural numbers and the zero"

Step-by-step explanation:

Answer:

the answer its 7^2 +7^3x5 its d hope helps you

Step-by-step explanation:

Answer:

-2.5, 4.-3

Step-by-step explanation:

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Answer:

b) [tex]\sqrt{10\\}[/tex]

Step-by-step explanation:

use law of sines to find all the sides and angles

Answer:

$91.88

Step-by-step explanation:

$87.50 x 1.05 = $91.88

Answer:

87.50*1.05=91.875 simplify to nearest dollar. The answer is $92

Step-by-step explanation:

Answer:

A line that is perpendicular to the x-axis is a vertical like with a slope equal to infinity. A line parallel to it would have the same slope and will also be a vertical line perpendicular to the x-axis. As the line passes through the point (2, -1) its equation is x = 2.

Step-by-step explanation:

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Answer:

The hypotenuse is 55 miles

Step-by-step explanation:

Given the sides of a right angle triangle as 33 and 44 miles, we want to get the hypotenuse

Mathematically, by Pythagoras’ theorem, the hypotenuse square is the sum of the squares of the other two sides

So we have;

h^2 = 33^2 + 44^2

h^2 = 3025

h = √3025

h =55 miles

Answer:

c^2 = a^2 + b^2 - 2ab cos(C)

Step-by-step explanation:

The angle at A is named A, the angle at B is named B, and the angle at C is named C

Keenan hiked 15 times as far as Margot. How far did Keenan hike? the total number of miles be m

The Keenan hike is measured in m is [tex]\frac{15m}{16}[/tex]miles.

The given parameters;

Keenan and Margot hiked m miles altogether.

Let the distance Margot hiked = n

Then, the distance Keenan hiked = 15n

The combined distance both hiked: m = n + 15n

Calculating Margot's hiked distance in terms of m is as follows:

m = n + 15n

m = 16n

n=[tex]\frac{m}{16}[/tex]

The calculation for Keenan's hike in terms of miles is

= 15(n)

=15[tex]\frac{m}{16}[/tex]

=[tex]\frac{15m}{16}[/tex]

Thus, the  distance hiked by Keenan in terms of m is [tex]\frac{15m}{16}[/tex]miles.

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Answer:

B. A water wheel in a dry river

Step-by-step explanation:

Work is said to be done when a force moves a body or an object through a certain distance in the direction of the force. Thus for work to be done, force and distance are required.

i.e Work done = Force x distance

It is measured in Joules.

Also, the work done by an object could be a measured of potential energy.

So that,

Work done = potential energy = mass x gravitational force x height

Considering the collage in the question, since the water wheel is in a dry river no work is done. Water wheel is a device that functions through the flow of water body, thus causing its rotation.

Answer:

3/40 or 0.075 pounds

Step-by-step explanation:

Answer:

x=12; Converse of conrresponding angles postulate

Step-by-step explanation:

On parrallel lines the corresponding angles are equal. To find x we can set up the equation up like this:

8x-17=5x+19

Solve

X=12

The converse used was the Converse of Corresponding Angles Postulate

Answer:

y = 5.18

Step-by-step explanation:

replace x in the equation with 3.5

y = -0.72x + 7.7

y = -0.72(3.5) + 7.7

y = -2.52 + 7.7

y = 5.18

Answer:

5.18

Step-by-step explanation:

Answer:

Step-by-step explanation:D∧M a\\

Answer:

58.14

Step-by-step explanation:

57x.02=1.14

add that to 57 and get 58.14

Answer:

$10.30

Step-by-step explanation:

X = 49.95 - (24.65 + 15)

x = 49.95 - 39.65

x =   10.30

Answer:

A general line can be written as:

y = a*x + b

Where a is the slope, and b is the y-intercept.

if we know that the line passes through the points (x1, y1) and (x2, y2), the slope will be:

a = (y2 - y1)/(x2 - x1)

In this case, we can see that the line passes through the points (0,0) and (4,2) then the slope will be:

a = (2 - 0)/(4 - 0) = 2

Then the equation is:

y = 2*x + b

And because we have the point (0, 0), we know that the y-intercept is equal to zero, then the equation is:

y = 2*x

This means that Pablo does 2 revolutions per feet, and we already found that the slope of the equation is 2.

Answer:

[tex]x = 5[/tex]

Step-by-step explanation:

[tex]m∠ADB = \frac{1}{2} m∠ADC [/tex]

⟹[tex]8x - 3 = \frac{1}{2} \times 74[/tex]

[tex]8x - 3 = 37 ⟹8x = 37 + 3[/tex]

Divide both sides by 8 to find the value of x

[tex]x = \frac{40}{8} [/tex]

Therefore:

[tex]x = 5[/tex]

Answer:

26m

Step-by-step explanation:

opp represents the height of the nest from the angle of elevation,adj represents the distance of the farmhouse from the building . Therefore,according to Tan rule (TOA)

Tan30° = opp/adj

opp= tan30° x adj

opp= tan30° x adj

opp = 0.5774 x 28

0pp= 16.12m

the height of the eagle's nest from the ground = 16m + 10m(since the farm house is 10m tall)

the height ...= 26m

Answer:

x = -3.5

Step-by-step explanation:

First we create the equation.

Let x = the unknown number

7x-1 = 5x - 8

Add 8 to both sides

7x + 7 = 5x

Subtract 7x

7 = -2x

Divide by 2

-7/2 = x

-3.5 = x

Answer:

g(-2) = 4

Step-by-step explanation:

g(x)=−4x−4

Find g(-2)

This means let x = -2

g(-2)=−4(-2)−4

       = 8 -4

       = 4

Decimal: 1.17865691489

Fraction: 97/88

Mixed Fraction: 1 9/88

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Answer:

The answer would be B one solution

Hope this helps

Answer:

1. Lin

2. 3 weeks

Step-by-step explanation:

Lin has more money in his account, and after 3 weeks Han and Lin will have the same amount of money in their lunch accounts.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

Han starts with $100 in his account. He spends $15 each week on lunches.

Lin starts with $25 in her account and does not spend any of it. Her family adds $10 each week to her account.

For hen:

x be the number of weeks

Total amount left = 100 - 15x

Plug x = 4

Total amount left = $40

For Lin:

y be the number of weeks.

Total amount = 25 + 10y

Plug y = 4

Total amount = 25+40 = $65

Lin has more money in his account.

To have the same amount:

100 - 15x = 25 + 10y

x = y

100 - 15x = 25 + 10x

x = 3 weeks

Thus, Lin has more money in his account, and after 3 weeks Han and Lin will have the same amount of money in their lunch accounts.

Learn more about the linear equation here:

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Answer:

15.68%

Step-by-step

Since 44% of the 28% play sport subtract 44 from 100 to see how many of the 28% do not play sports and you get 56%. So multiply 56% and 28% and you get 15.68%.