Simon's dog jumped into a stream at a 68° angle from the corner of a bridge. simon crossed the bridge and walked downstream to meet the dog.
part a how long is the bridge, in feet?
part b how many feet did the dog swim?

<-------------------288km---------->

x=48 km 5x=240km

⊙__________⊙___________⊙

jonesville smitville cityville

6x=288

x=48

=48km

Answer:

[tex](3x -5)(x+1)[/tex]

Step-by-step explanation:

Factoring [tex]3x^{2} -2x-5=0[/tex] results in [tex](3x -5)(x+1)[/tex]

Answer:Experimental probability = 0.297

Step-by-step explanation: experimental probability = number of times event occurs/total number of trials
Probability = 22 divided by 74 = 0.297

Therefore the experimental probability of choosing green marble is 0.297.

Answer:

He did not put the numbers in order.

Explanation:

The numbers need to be in order from smallest to largest before you find the median.

Anser: 2,12 and 4, 24. Yes, it is proportional.

Step-by-step explanation:

For every 2x, y will be inceased by 12.

Answer:

Each box of two inch nails contained 67 nails

Step-by-step explanation:

Givens

291 one inch nails

5 boxes of 2 inch nails

Total number of nails = 626 nails

Formula

291 + 5*two = 626      Two is the number of 2" nails in one box

Solution

291 + 5*two = 626              Subtract 291 from both sides.

5*two = 626 -291                Combine

5*two = 335                        Divide both sides by 5

5*two/5 = 335/5

two = 67

Answer:

30.84 cm

Step-by-step explanation:

Formula for perimeter of semi-circle = πr + 2r

Radius (r) = 6 cm

π = 3.14

Perimeter

= πr + 2r

= 3.14(6) + 2(6)

= 3.14(6) + 12

= 18.84 + 12

= 30.84 cm

_________

Hope it helps ⚜

Answer:

30.85 cm to 2 d.p.

Step-by-step explanation:

The perimeter is made up of the diameter ( = 2*radius) and half a full circle

= 6*2 + 1/2 * π* 6

= 12 + 3π

= 30.849

The height of the tree can be found by establishing a proportional relationship between the heights and the shadows of the tree and Cameron and the height of the tree to the nearest hundredth of a meter is 2.40 m.

Proportional relationships are relationships between two variables where their ratios are equivalent.

Therefore, we will establish a proportion to find the height of the tree.

Cameron height = 1.85 m

Tree shadow = 21.55 m

Cameron shadow length = 16.6 m

height of the tree = x

Therefore,

1.85 / x = 16.6 / 21.55

16.6x = 21.55 × 1.85

x = 39.8675 / 16.6

x = 2.40165662651

x = 2.40 m

learn more on proportion here: https://brainly.com/question/26753283

Answer: 1.106D

Step-by-step explanation: 7.830=3.915(1.106)D and 2 = 1.106D

The number of days it takes the water lily population to double will be 3.915.

The equation is written as Y= a + bX, where Y is the dependent variable and X is the independent variable.

This is an algebraic idea; imagine the initial number was x and the new number is 2x. If the constant rate of growth is r and the time is D, the function expressing growth will be:

[tex]2x=x(r)D\\\\ 7.830=3.915(1.106)D\\\\ 7.830=3.915(2)D[/tex]

Hence the number of days it takes the water lily population to double will be 3.915.

To learn more about the regression equation refer to the link;

https://brainly.com/question/7656407

Answer:

y=ax, y»a

Step-by-step explanation:

that means that gradually the lines going up instead of going down and the step by step function will give you two set of points in the graph that will be your your center point

Answer:

3 feet in a yard, so the answer is 6

Step-by-step explanation:

2 yards x 3 feet in a yard = 6 feet

Answer:

6

Step-by-step explanation:

There are 3 feet in 1 yard, so in 2 yards there would be 6 feet.

Hope that helps!

Answer:

10

Step-by-step explanation:

Using the formula

d=2r

Solving for r

r=d

2=10

2=5

Answer:

20

Step-by-step explanation:

I'm not too sure why 22 is there. Triangle = (bh) / 2

90 x 2 = 180. 180 / 9 = 20, therefore, base is 20.

Answer:

First, we must know the formula for the area of a triangle.

A = BH x 1/2

Where 'b' represents the base, and 'h' represents the height.

Multiplying by 1/2 basically means dividing the result of (base x height) by 2.

Now we plug in what we know, given the dimensions shown.

We know that the area is 90 square units.

We also know that the height is 9, so;

A = BH x 1/2

90 = B(9) x 1/2

Solve for B:-

90 = 9b(we reverse b9 because they both serve as the same thing) x 1/2

90 = 9b x 1/2

Dividing by 1/2 also means multiplying by 2, so we multiply 2 to both sides to get rid of 1/2;

*2         *2

180 = 9b

To isolate b(base) we divide by 9 from both sides because the inverse operation of multiplication is division.

÷ 9    ÷ 9

20 = b, our base is 20 square units.

Step-by-step explanation:

I don't have that much time to wait for all the clarifications, so I will make some assumptions based on what I saw in your comments so far.

please change the numbers in the calculation (and the recalculate) as necessary :

we are dealing with a triangular prism that acts as a ramp.

triangular means that the sides are in the shape of triangles.

but the front, the back and also the bottom areas are rectangles.

the area of a rectangle is length×width.

the area of a triangle is baseline×height/2

since it is supposed to be a ramp, I assume the triangle shape of the sides is right-angled. that means the back side of the ramp is standing straight up (90° angle with the bottom).

the height of the ramp is the height of the triangle side areas, and is simply the left leg of the triangle (again, going straight up with a 90° angle to the baseline).

I understand the height is 14 in.

I assume the front length is 50 in. and the depth of the ramp (the length of the baseline of the triangular sides) is 48 in.

now we get the length of the inclined "front" leg of the side triangles via Pythagoras

c² = a² + b²

with c being the side opposite of the 90° angle (exactly the inclined leg we are looking for) :

c² = 14² + 48² = 196 + 2304 = 2500

c = 50 in

that means our front rectangle of the ramp is actually a square of 50in × 50in.

the entire ramp is to be painted. that means really every side, including the bottom.

so, the whole surface area is the sum of the individual areas.

we have

1 (inclined) front area 50in × 50in

1 back side (straight up) 50in × 14in

1 bottom area 50in × 48in

2 side triangles 48in × 14in / 2 = 48in × 14in

so, we get as total area

50×50 = 2500 in²

50×14 = 700 in²

50×48 = 2400 in²

48×14 = 672 in²

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

6272 in²

now, one can of spray paint can cover 2000 in².

that means we need

6272 / 2000 = 3.136 cans.

and since we cannot buy fractions of cans, we need to round up.

we need 4 cans to do the painting job.

Answer:

The Last One

Step-by-step explanation:

hope this helps :))

Answer:

9.138

10.28

11.26

12.55

ANSWER :

9.) 138

10.)28

11.)26

12.)55

HOPE IT HELPS

Answer:

The stunt plane finally finished his stunt at a height of 300m above the skyscraper which means he is at a height of h0 + 300 above sea level

Therefore , the total elevation (e)  would be :

e = 300 + 100

= 400m

The answer for this equation funtion would be The first one because it is the correct answer.

Answer:

Step-by-step explanation:

Answer:

If you want to multiply then,

3/5 × 1/2 = 3/10 or 0.3

If you want to Add then,

3/5 + 1/2 = 6 + 5/5 × 2 = 11/10 or 1.1

If you want to subtract then,

3/5 – 1/2 = 6 – 5/5 × 2 = 1/10 or 0.1

If you want to Divide then,

3/5 ÷ 1/2 = 3/5 × 2/1 = 6/5

Answer:

240 Minutes

Step-by-step explanation:

0.6 per minute × 2 = 1.2 gallons .

120 balloons × 2 mins= 240 mins

Answer:

2.9

Step-by-step explanation:

subtract the distances:

4.1-1.2

2.9

Answer:

○ [tex]\displaystyle \pi[/tex]

Step-by-step explanation:

[tex]\displaystyle \boxed{y = 3sin\:(2x + \frac{\pi}{2})} \\ y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{\pi}{4}} \hookrightarrow \frac{-\frac{\pi}{2}}{2} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\pi} \hookrightarrow \frac{2}{2}\pi \\ Amplitude \hookrightarrow 3[/tex]

OR

[tex]\displaystyle \boxed{y = 3cos\:2x} \\ y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\pi} \hookrightarrow \frac{2}{2}\pi \\ Amplitude \hookrightarrow 3[/tex]

You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the cosine graph, if you plan on writing your equation as a function of sine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = 3sin\:2x,[/tex]in which you need to replase "cosine" with "sine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the sine graph [photograph on the right] is shifted [tex]\displaystyle \frac{\pi}{4}\:unit[/tex]to the right, which means that in order to match the cosine graph [photograph on the left], we need to shift the graph BACKWARD [tex]\displaystyle \frac{\pi}{4}\:unit,[/tex]which means the C-term will be negative, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{-\frac{\pi}{4}} = \frac{-\frac{\pi}{2}}{2}.[/tex]So, the sine graph of the cosine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 3sin\:(2x + \frac{\pi}{2}).[/tex]Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph WILL hit [tex]\displaystyle [-1\frac{3}{4}\pi, 0],[/tex]from there to [tex]\displaystyle [-\frac{3}{4}\pi, 0],[/tex]they are obviously [tex]\displaystyle \pi\:units[/tex]apart, telling you that the period of the graph is [tex]\displaystyle \pi.[/tex]Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 0,[/tex]in which each crest is extended three units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

I am delighted to assist you at any time.

Answer:

[tex]\pi[/tex]

Step-by-step explanation:

The trigonometric function shown on the graph is a continuous function, and so its period is the length of one wave of the function (i.e. the horizontal distance between a peak and the next peak, or a trough and the next trough).

From inspection of the graph, the horizontal distance between one peak and the next of the given function is [tex]\pi[/tex].  

Therefore, the period of this trigonometric function is [tex]\pi[/tex]

Answer:

$321.75

Step-by-step explanation:

k = y/x

514.80/18= 28.6  

28.6 * 11.25 =321.75

Thus, Ashley will earn 321.75 in 11.25 Hours

~Lenvy~

Answer:

$321.75

Step-by-step explanation:

Formula ⇒ k = y/x

Dollar = y

x = Hour

Hence,

514.80/18= 28.6  

28.6 × 11.25 =321.75

Therefore, Ashley will make $321.75 in 11.25 Hour

[RevyBreeze]

Answer:

Multiply the numbers then Add on both sides then simplify

Step-by-step explanation:

The volume of the container is the amount of can in it

The contents weigh 1047.1 ounces

The given parameters are:

Volume = 28.3 cubic feet

Average weight of can = 37 ounces per cubic foot

So, the weight of the container would be:

Weight = Volume * Average weight of can

Substitute known values

Weight = 28.3 cubic feet * 37 ounces per cubic foot

Evaluate the product

Weight = 1047.1 ounces

Hence, the contents weigh 1047.1 ounces

Read more about volumes at:

https://brainly.com/question/1972490

Answer:

27/5

Step-by-step explanation:

because If you do 5 2/5 = ? you get 27/5

Answer:

Answer is C

Step-by-step explanation:

Because you divide each side by 2 because that is the scale factor

Answer:

There are 18 choices for first place, 17 for second, and 16 for third.

Therefore, there are 18 x 17 x 16=4896

So there are 4,896 ways possible

Step-by-step explanation:

Hope this helps:)...if not then sorry for wasting your time and may God bless you:)