The map shows two biking trails that meet at a park, located at the coordinate (1, 9). Each unit on the map represents 0.5 mile.How many miles longer is Trail A than Trail B?

The value of the length x in a given triangle by using the trigonometry formula would be 9.6 units.

Given that,

A triangle UVW is shown in the image with sides and angles,

vw = 6.4

uv = x

And, ∠wuv = 42°

Used the trigonometry formula which states that,

[tex]\text{ sin x} = \dfrac{\text{ Opposite}}{\text{ Hypotenuse}}[/tex]

Here, we have;

An angle ∠wuv = 42°.

So, we get;

[tex]\text{ sin 42} = \dfrac{\text{ vw}}{\text{ uv}}[/tex]

Substitute given values,

[tex]\text{ sin 42} = \dfrac{\text{ 6.4}}{\text{ x}}[/tex]

Since, sin (42°) = 0.67

Hence,

[tex]0.67 = \dfrac{6.4}{x}[/tex]

Multiply by x on both sides,

[tex]0.67 \times x = 6.4[/tex]

Divide both sides by 0.67, we get;

[tex]x = \dfrac{6.4}{0.67}[/tex]

[tex]x = 9.55[/tex]

Round to the nearest tenth,

[tex]x = 9.6[/tex]

So, the value of x is 9.6 units.

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Answer:

15

Step-by-step explanation:

Answer:

Only the primary color wavelengths are being absorbed by the ball.

Answer:Which statement is true when looking at a black ball?

Group of answer choices

Only the primary color wavelengths are being reflected by the ball.

All color wavelengths are being reflected by the ball.

All color wavelengths are being absorbed by the ball.

Only the primary color wavelengths are being absorbed by the ball.

Step-by-step explanation:

Answer:

Step-by-step explanation:

1)

2)

3)

Answer:

30% Increase

Step-by-step explanation:

We Know 3 is 30% of 10 and 10+3=13 so we know that 13 is a 30% increase of 10.

Hopes This Helps :)

Answer:

1. 17,400 in²

2. ???

Step-by-step explanation:

1. If the the length of each shelf is 116 inches and the width is 30 inches then 1 shelf has 3480 in² of space. Since that's for 1 shelf and we have 5 shelves you multiply 3480 by 5 to get 17400.

2. You didn't give any diagram so I can't really help here but just add up all the side of the shape it gave you. You'll probably have to do some math to find missing sides.

Answer:

9(3-2r)

Step-by-step explanation:

27-18r the greatest common factor between 27 and 18 is 9. therefore, we can factor 9 out.

9(3-2r)

Hope this helps.

Answer:

9(3-2r)

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

7 units

Step-by-step explanation:

Calculate the distance using the absolute value function

| - 9 - (- 2) | = | - 9 + 2 | = | - 7 | = 7

or

| - 2 - (- 9) | = | - 2 + 9 | = | 7 | = 7

Given the function

[tex]y=\dfrac{3}{5}x+2[/tex]

and its domain [tex]\{-10,0,5\}[/tex], its range is [tex]\{-4,2,5\}[/tex]

The domain of a function is the set of all possible values that we can input to the function.

The range of a function is the set of all possible values that a function can output.

For the function

[tex]y=\dfrac{3}{5}x+2[/tex]

if the domain is the set [tex]\{-10,0,5\}[/tex], we can get the range by substituting each value in the domain into the function. The resulting set of values gives the range of the function.

The range will then be

[tex]\left\{\dfrac{3}{5}(-10)+2, \dfrac{3}{5}(0)+2,\dfrac{3}{5}(5)+2\right\}\\\\=\left\{3(-2)+2, 3(0)+2, 3(1)+2\right\}\\\\=\left\{-4, 2, 5\right\}\\\\[/tex]

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Answer:

The chicken which is sold for 5 boxes for 25.50 is better priced.

Step-by-step explanation:

If you buy five boxes of the chicken from the place where it is 5.50 a box, buying five will be 27.50, which costs more than the place with the 25.50 price for five boxes.

Answer:

(Answer below)

Step-by-step explanation:

2t - 8 + 1

this is the expanded form of 2(t-4)+1 therefore, it is the same as 2(t-4)+1

how I got this: 2 x t = 2t           2 x 4 = 8           2t + 8 +1

Answer:

False

Step-by-step explanation:

use PEMDAS.

since there is no perenthesis you start with exponents.

10^5=100000

10^2=100

6*100,000+6*100

Next, you go to multipliation

600,000+600

Finally, you move on to addition

600,600

Answer:

-14

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

y=4x - 2                                  x= -3

y=4(-3) - 2

y= -12 - 2

y= -14

Answer:

A = 97.5

Step-by-step explanation:

Since A & B are supplementary, the general equation would be:

180 - 82.5 = A

A = 97.5

The answer is 45a16c34b27

Answer:

only the v-shaped graph is a function

Step-by-step explanation:

the circle, the vertical line, and the sideways parabola would not pass the 'vertical line test' which is where, if a vertical line is drawn through the graph then the line would not intersect the graph in more than one point

Answer:

Length = 150 yards

Width = 100 yards

Step-by-step explanation:

We want 600 yards of fencing that will result in the largest 2 fenced corrals, sharing a common border.

It will take the shape of a rectangle, with a dividing fence down the center.

Let W and L,  Width and Length of the larger enclosure.

See attachment.

W= Area of the larger enclosure.

The perimeter is 2W + 2L.

The dividing fence is 1W

We know that we only have 600 yards of fence, so:

2W + 2L + 1W = 600 yards

Area = W x L

---

3W + 2L  = 600    (yards)

2L  = 600 -3W

L = (600-3W)/2

L = 300 -(3/2)W

---

Use this expression in the Area calculation:

Area = W x L

Area = W x (300 -(3/2)W)

Area = 300W -(3/2)W^2)

To find the maximum area, take the first derivative and set to zero to find the value of W that results in the greatest area.

Area' = 300 -2(3/2)W)

0 = 300 - 3W

3W = 300

W = 100 yards

Since 3W + 2L  = 600

L = (600 - 3W)/2

L = (600 - 3(100))/2

L = 150 yards

Area = 150*100 = 15,000 yards^2

Answer:

huh I'm confused I dont know

[tex]2(4x+1)<3(2x-3)\\\\\implies 8x +2 < 6x -9\\\\\implies 8x <6x -9 -2\\\\\implies 8x -6x < -11\\\\\implies 2x<-11\\\\\implies x< -\dfrac{11}2\\\\\\\text{Interval,} ~ \left(-\infty, -\dfrac{11}2 \right)[/tex]

Answer:

x<3.5

Step-by-step explanation:

multiply 2 with 4x and 1 to get 8x + 2 < 3(2x-3). Then multiply 3 by 2x and -3 to get 8x + 2 < 6x- 9. Then subtract -6x on both sides to get 2x + 2< -9. Next subtract 2 from -9 so x is by itself and then you get 2x < 7. Finally divide 2 on each side so you leave x byitself completely. You get x > 3.5

I hope u get it right!

Answer:

The answer is B, f(x)=5(2/5)^(z)

Step-by-step explanation:

I did the graphs for all of them and graph B was identical to the one in the picture.

Answer:

  (b)  f(x) = 5(2/5)^x

Step-by-step explanation:

All of the offered choices agree that the multiplier of the exponential factor is 5. When x=1, the exponential factor must have a value of 2/5 in order to make the function value be 2 at that point.

That is, ...

  f(1) = 5(2/5)^1 = 5(2/5) = 2

You can get there either by using x=1 in each of the offered answer choices, or by observing that the ratio between f(1) and f(0) is 2/5.

  f(x) = 5(2/5)^x

Answer:Multiply X + Y by -6 so you can cancel 6x by -6x. Then you get 3y+24. Then divide by 3 and get Y=8 Then solve for X. Use one of the equations and solve for X. I would do X+8=16. Then minus 8 and get 8. So X=8

Step-by-step explanation:

With that being said the coordinate pair would be (8,8)

Answer:

Option B

Step-by-step explanation:

Angles can be named by only the middle point's name. Option B would be correct in this case, because the point in the center of the angle is point R.

Answer:

1/4

Step-by-step explanation:

Since 0.25 is 1/4 of 1

Clearly, |S| = 50.

Count the multiples of 2 between 1 and 50:

⌊50/2⌋ = ⌊25⌋ = 25

(where ⌊x⌋ denotes the "floor of x", or the largest integer that is smaller than or equal to x; in other words, round down to the nearest integer)

Count the multiples of 3 between 1 and 50:

⌊50/3⌋ ≈ ⌊16.667⌋ = 16

Since LCM(2, 3) = 6, the sets of multiples of 2 and multiples of 3 have some overlap. Count the multiples of 6 between 1 and 50:

⌊50/6⌋ ≈ ⌊8.333⌋ = 8

Then by the inclusion/exclusion principle, we remove from S

25 + 16 - 8 = 33

elements, so that the new set S contains 50 - 33 = 17 elements.