When you have coordinates of two points A(1, 2) and B(2,6) slope is:

By using the cosine rule, we will see that the distance between the golfer and the hole is 69.7 yd.

Basically, we need to find the length of the missing side of the shown triangle.

So, one side measures 300yd, other side measures 275 yd, and the angle between these sides measures 13°.

Now we can use the cosine rule, where for sides a, b, and c, and angle A (A is the opposite angle to the side a) the rule says:

a^2 = b^2 + c^2 - 2bc*cos(A).

In this case we define:

Replacing that we get:

a^2 =  (300yd)^2 + (275yd)^2 - 2*(300yd*275yd)*cos(13°) = 4,853.94 yd^2

a = √(4,853.94yd^2) = 69.7 yd

So the distance between the golfer and the hole is 69.7 yd.

If you want to learn more about triangles, you can read:

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Answer:

Step-by-step explanation: After purchasing 21 DVDs the membership is worth the money with a total spending of 104 dollars compared to 105 dollars without the membership.

Membership: -20, -24, -28, -32, -36, -40, -44, -48, -52, -56, -60, -64, -68, -72, -76, -80, -84, -88, -92, -96, -100, -104
No Membership: 0, -5, -10, -15, -20, -25, -30, -35, -40, -45, -50, -55, -60, -65, -70, -75, -80, -85, -90, -95, -100, -105

Answer:

81 blue

54 red

Step-by-step explanation:

let me know if this is helpful!

You need to use ABC instead of XYZ because it is unclear which one is B.

With a total of $49.50 one would be able to buy 12 DVDs in the video store

Given data

Required: the Number of DVDs that can be bought

The expression for find the number of DVDs is given as

Number of DVD = Total Amount/Cost per unit

Number of DVD = 49.50/4.25

Number of DVD =11.64

Hence $49.50 would buy approximately 12 DVDs

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Answer:

  A, B: False

  C, D, E: True

Step-by-step explanation:

The angle sum theorem and the definition of a linear pair of angles can help you answer these questions.

  m = x; False. Angles m and x are a linear pair. They are supplementary (total 180°). They are only equal if they are both 90°, which is not indicated in this diagram as being the case.

__

  z = x+y; False. Angles x, y, and z total 180° according to the angle sum theorem. The equation is only true if z = 90°, which is not indicated in this diagram as being the case.

__

  m = y +z; True. This is explained by the equations of D and E, which are also both true. The theorem that expresses this relationship is, "an exterior angle is equal to the sum of the remote interior angles."

__

  m = 180° -x; True. This is exactly what we mean when we say angles m and x are a linear pair. Together, they form a straight line. The angles of a linear pair are supplementary, meaning their sum is 180°. Angle m is also called an "external angle" of the triangle.

__

x = 180° -(y +z); True. The angles of a triangle total 180° according to the angle sum theorem. That means the value of any one of them is the difference between 180° and the sum of the other two. This is effectively telling you that angle x is supplementary to the sum of angles y and z.

Above, we noted that angle x is supplementary to angle m. Angles that are supplementary to the same angle have the same measure, so ...

  m = 180° -x

  180° -x = y +z . . . . . rearrange equation E

  m = y +z

Answer:

6 cookies

Step-by-step explanation:

half of twelve is 6

12/2=6

Using an exponential function, it is found that it would take 19.68 years for the value of the car to be $3,800.

A decaying exponential function is modeled by:

[tex]A(t) = A(0)(1 - r)^\frac{t}{n}[/tex]

In which:

In this problem:

Then, the equation is:

[tex]A(t) = A(0)(1 - r)^\frac{t}{n}[/tex]

[tex]A(t) = 31000(1 - 0.5)^\frac{t}{6.5}[/tex]

[tex]A(t) = 31000(0.5)^\frac{t}{6.5}[/tex]

The value would be of $3,800 at t for which A(t) = 3800, hence:

[tex]A(t) = 31000(0.5)^\frac{t}{6.5}[/tex]

[tex]3800 = 31000(0.5)^\frac{t}{6.5}[/tex]

[tex](0.5)^\frac{t}{6.5} = \frac{3800}{31000}[/tex]

[tex](0.5)^\frac{t}{6.5} = 0.12258064516[/tex]

[tex]\log{(0.5)^\frac{t}{6.5}} = \log{0.12258064516}[/tex]

[tex]\frac{t}{6.5}\log{0.5} = \log{0.12258064516}[/tex]

[tex]t = 6.5\frac{\log{0.12258064516}}{\log{0.5}}[/tex]

t = 19.68.

It would take 19.68 years for the value of the car to be $3,800.

More can be learned about exponential functions at https://brainly.com/question/25537936

Answer:

t≈19.7

Step-by-step explanation:

I do not have one, I apologize.

Answer:

16 11/2

Step-by-step explanation:

ezz

Answer:

  = 14x +8

Step-by-step explanation:

For the equation in one variable to have infinitely many solutions, it must be true for all values of x. That is, the left side and the right side must simplify to identical expressions.

The left side simplifies to ...

  12x -x +8 +3x = (12 -1 +3)x +8 = 14x +8

So, we can give the equation infinitely many solutions if the right side is 14x +8:

  12x -x +8 +3x = 14x +8 . . . . has infinitely many solutions

Answer:

x = -14 I hope this helps :)

Answer:

6 units

Step-by-step explanation:

4 1/2 x 1 1/3= 6

Answer: Volume: 65.4 Weight: 46.4

Step-by-step explanation:

Density describes mass per unit volume. The weight of each of the considered chocolate truffle is 46.47 grams approx.

Density is like rate. It tells you how much of a thing is available for each unit other thing which contains the first thing.

Density = (Total amount available)/(total space which contains that amount)

We're given that:

Volume of each chocolate truffle = volume of sphere with radius 2.5 cm

=  [tex]\dfrac{4}{3} \pi (2.5)^3 \approx 65.45 \: \rm cm^3[/tex]

One cubic cm has 0.71 grams weight,

so one truffle, which has 65.45 cubic cm of chocolate, will weigh approx[tex]0.71 \times 65.45 \approx 46.47 \: \rm g[/tex]

Thus, the weight of each of the considered chocolate truffle is 46.47 grams approx.

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Answer:

B

Step-by-step explanation:

The perimeter is decreased by 4 because 2(5+2) = 14 when 2(5+4) = 18

Answer:

Step-by-step explanation:

Givens

Let a = the first number

Let b = the second number

Equations

a + b = 39

b = 1/2 * a + 6

Put the second equation into the first one

a + 1/2 * a +   6 = 39                  Simplify the left.

(3/2)a + 6 = 39                           Subtract 6 from both sides

(3/2)a + 6 - 6 = 39 - 6                Combine

(3/2)a = 33                                  Multiply both sides by 2

3a = 33*2

3a = 66                                       Divide both sides by 3

3a/3 = 66/3

a = 22

b = 1/2 a + 6

a = 22

b = 1/2 * 22 + 6

b = 11 + 6

b = 17

Check

22 + 17 = 39

Answer:

65 m

Step-by-step explanation:

The length of the mast, 60 m, is a leg of a right triangle.

The distance the wire is from the foot of the mast is the other leg.

The length of the wire is the hypotenuse of the right triangle.

We can use the Pythagorean theorem to find the length of the wire.

a² + b² = c²

60² + 25² = c²

3600 + 625 = c²

c² = 4225

c = 65

Answer: 65 m

Answer:

each notebook would cost $4

Step-by-step explanation:

21-13=8.    8/2=4

Answer:

90 months

Step-by-step explanation:

Let x = number of months

Let y = total cost of deal

Big City Nissan

   y = 3000 + 420x - 840

⇒ y = 2160 + 420x

Rye Town

y = 3960 + 400x

Equate the equations and solve for x

   2160 + 420x = 3960 + 400x

⇒ 420x - 400 x= 3960 - 2160

⇒ 20x = 1800

⇒ x = 90

Hello!

Total brownies: 16 (so that's the denominator of the fraction)

Brownies with nuts: 6 (that's the numerator of our fraction)

The fraction is:

[tex]\bf{\displaystyle\frac{6}{16}}[/tex]

Divide the numerator (6) and denominator (16) by 2:

[tex]\bold{\displaystyle\frac{3}{8}}[/tex]

That's the answer.

I hope everything is clear.

Let me know if you have any questions!

#KeepLearning :-)

Answer:

[tex]\frac{3}{8}[/tex]

Step-by-step explanation:

⇒ Given:

Conner made 16 brownies.

Put nuts on 6 brownies.

⇒ To Find:

Write the simplified fraction of the brownies that had nuts.

⇒ Solution:

Since Conner made 16 brownies:

16 brownies is the total also known as denominator of a fraction.

Since, Conner put nuts on 6 brownies:

6 brownies is the ones that has nuts also known as numerator of a  fraction.

Thus, the fraction is [tex]\frac{6}{16}[/tex].

It a even number thus, we can simplify:

[tex]\mathrm{Factor\:the\:number:\:}\:6=2\cdot \:3[/tex]

[tex]=\frac{2\cdot \:3}{16}[/tex]

[tex]\mathrm{Factor\:the\:number:\:}\:16=2\cdot \:8[/tex]

[tex]=\frac{2\cdot \:3}{2\cdot \:8}[/tex]

[tex]\mathrm{Cancel\:the\:common\:factor:}\:2[/tex]

[tex]=\frac{3}{8}[/tex]

Therefore, the simplify fraction of the brownies that had nuts is [tex]\frac{3}{8}[/tex]

`~lenvy~`

Answer:

28

Step-by-step explanation:

area = width x height

area = 7 x 4

area = 28 square feet

Given -

ie, length of the mirror, L = 4 feet and breadth of the mirror, B = 7 feet .

To find -

Solution -

As we know to find the area of rectangle we use the formula, Area = L × B

Hence, we will be doing the same.

Area = 4 × 7

Area = 28 square feet

Answer:

she gets 280 texts in a week

Step-by-step explanation:

just multiply 4 times 10 then multiply that answer which is 40 then multply 40 times 280

Answer:

A

Step-by-step explanation:

a quartic trinomial is a polynomial of degree 4 , with 3 terms

The only polynomial to fit this description is A

100/100 + 100/100 + 26/100 = 2 + 0,26 = 2,26

The relative risk of stroke in hypertensive as compared to non-hypertensive persons will be 1.8367.

From the complete information, those with hypertension that had strike is 12. Those with no hypertension but had stroke is 4.

Also, those with hypertension but don't have stroke is 37 while those with no hypertension but had stoke is 26.

Therefore, the relative risk will be:

= (12/12 + 37) / (4/4 + 26)

= 12/49 / 4/30

= 1.8367

In conclusion, the correct option is 1.8367.

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The length of the ribbon needed to cross from one corner of the rectangle to the other corner is 7 1/2 feet.

The length of the ribbon needed can be determined using the Pythagoras theorem.

The Pythagoras theorem: a² + b² = c²

where

a = length

b = base

c = hypotenuse

√4.5² + 6²

√36 + 20.25 = 7.5 feet

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Answer:

8 hours.

Step-by-step explanation:

80 = 12 + 8.5t    where t is the time rented in hours

8.5t = 80 - 12 = 68

t = 68/8.5

=  8 hours.

Answer:

(-1/2. 0)

Step-by-step explanation:

Given

Solving for x

Solving for y

Solution

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

The required solution set is :

[tex]\qquad \sf  \dashrightarrow \:( - \frac{1}{2} ,0)[/tex]

See the attachment for solution ~

The type of data which would be considered as the qualitative data is the smell of the plant.

The qualitative data is the data which describes the quality or the characteristics of a thing.

Qualitative data can be felt rather than measure. The data of color of hairs of cricket team player is an example of qualitative data.

The options for the problem are listed below.

Thus, the type of data which would be considered as the qualitative data is the smell of the plant.

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Answer:

A=24

Step-by-step explanation:

First, we do the equations in the brackets(2x6) which is 12.

Before that, there is a 1/2 which means dividing whatever is inside the brackets by 2 which then becomes 6.

Then we x4 so the answer is 24.

a = 24

Step-by-step explanation:

[tex]\rm \: a = \frac{1}{2} (2 \times 6) \times 4 \\ \\ \rm a= \frac{1}{2} (12) \times 4 \\ \\ \rm a= \frac{12}{2} \times 4 \\ \\ \rm \: a = 6 \times 4 \\ \rm \: a = 24[/tex]

Answer:

A' (- 4, 6 )

Step-by-step explanation:

Since the dilatation is centred at the origin then multiply each coordinate by the scale factor , that is

A (- 6, 9 ) → A' ([tex]\frac{2}{3}[/tex] (- 6), [tex]\frac{2}{3}[/tex] (9) ) → A' (- 4, 6 )