Sophia and Tyler are running around a 400-meter track. They start running from the speed of 4 m/s. How long will it take Sophia to lap Tyler?

ANSWER: the amount an individual earns after subtracting all expenses, taxes and costs.

9514 1404 393

Answer:

  (a) 38.3 m horizontal distance

  (b) 82.1 m high

Step-by-step explanation:

I like a graphical solution to this problem (attached).

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If you define h as the horizontal distance to the tower, and t as its height, you can write two equations. Since these sides are adjacent and opposite the given angles, the tangent relationship is useful.

  tan(65°) = t/h

  tan(40°) = (t -50)/h

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Multiplying both equations by h and substituting for t, we have ...

  h·tan(40°) = h·tan(65°) -50

  h = 50/(tan(65°) -tan(40°)) . . . . solve for h

  h ≈ 38.3022

Then the tower height is ...

  t = h·tan(65°) ≈ 82.1394

The tower is about 38.3 m distant and 82.1 m high.

Answer:

x = 11, -1

Step-by-step explanation:

First, let's identify what the quadratic formula is:

x = [-b ± √(b² - 4(a)(c))] / 2

Our equation is written in standard form:

ax² + bx + c = 0

x² - 10x - 11 = 0

Let's plug in what we know.

x = [-(-10) ± √((-10)² - 4(1)(-11))] / 2

Evaluate the exponent.

x = [-(-10) ± √(100 - 4(1)(-11))] / 2

Simplify the negatives.

x = [10 ± √(100 - 4(1)(-11))] / 2

Multiply.

x = [10 ± √(100 + 44)] / 2

Simplify the parentheses.

x = [10 ± √(144)] / 2

Simplify the radical (√)

x = [10 ± 12] / 2

Evaluate the ±.

x = [10 + 12] / 2

x = [22] / 2

x = 11

or

x = [10 - 12] / 2

x = [-2] / 2

x = -1

Your answers are x = 11, -1

Hope this helps!

Answer:

Step-by-step explanation:

8x^3 - 12x^2 - 2x + 3

4x^2(2x - 3) - 1( 2x - 3)

(4x^2 - 1)(2x - 3)

(2x - 1)(2x + 1)(2x - 3)

Answer:

[tex](2x - 1)(2x + 1)(2x - 3) \\ [/tex]

Step-by-step explanation:

[tex]8 {x}^{3} - 12 {x}^{2} - 2x + 3 \\ 4 {x}^{2} (2x - 3) - 1(2x - 3) \\ (4 {x}^{2} - 1)(2x - 3) \\ ( {2}^{2} {x}^{2} - {1}^{2} )(2x - 3) \\ (2x - 1)(2x + 1)(2x - 3)[/tex]

hope this helps you

can I have the brainliest please?

Answer:

i will not give you the answer but I will tell you how to does it stop cheating because it will get you no where in life. If you ever get a job in the future because you got straight a's from CHEATING and they tell you to do somthing,  YOU'RE  NOT GONNA BE ABLE TO DO IT. please and thank YOU

Step-by-step explanation:

Add all the numbers and divided by 3

Answer:

FV= $2,407.53

Step-by-step explanation:

Giving the following information:

Present Value (PV)= 1,300

Interest rate (i)= 4.5% = 0.045

Number of periods (n)= 14 years

To calculate the future value (FV) of the initial investment after 14 years, we need to use the following formula:

FV= PV*(1 + i)^n

FV= 1,300*(1.045^14)

FV= $2,407.53

Answer:

Subtract 6

Step-by-step explanation:

The answer is subtract six because you subtract six every time in the pattern.

Answer:

Step-by-step explanation:

Here are some steps to help you

Step 1

(2p^3 · 2p)^2  We are gonna be simplifying

(4p^4)^2

Step 2

(4p^4)(4p^4)

16p^8

So therefore your answer would be 16p^8

Hope this helps

Answer:

3.75 cm³

Step-by-step explanation:

Each cube has equal sides of 1/2 cm

Length of the rectangular prism = 1/2 cm * 5

= 2.5 cm

Width of the rectangular prism = 1/2 cm * 2

= 1 cm

Height of the rectangular prism = 1/2 cm × 3

= 1.5 cm

Volume of the rectangular prism = length × width × height

= 2.5 cm * 1 cm * 1.5 cm

= 3.75 cm³

Volume of the rectangular prism = 3.75 cm³

Answer:37 1/2

Step-by-step explanation:

You need to undo the volume and then find the surface area. you need to find the thing before the volume byy eversing S^3 then you do the foumla to get 37 1/2

Answer:

Its 7.333333333333333333  (3 forever)

First you isolate y onto one side of the equation

y/9= 44/54  -->  y = 9 x 44/54

Multiply the right side of the equation

9 x 44/54 = 396/54

Now divide to get the whole answer

396/54 = 7.3333333333 (3 forever)

y = 7.333333

14x + 8 = 22. Okay, so first you want to subtract 8 from itself and 22. Once you did that you should get 14x = 14. Now, you need to divide 14 from both sides. 14/14 = 1. Meaning that x = 1. To check your answer, replace the x values with 1 and solve. 14 X 1 + 8 does equal 22.

its 1

Answer:

4) A) cuttings

5) B) pollinated

9) C) heredity

Step-by-step explanation:

Answer:

1) A.

2) B.

3) C.

I hope this helps.

Please mark me the Brainliest!

Answer:

mean is 3, 6

Step-by-step explanation:

lol

Answer:

400 grams

Step-by-step explanation:

If the equation is density = mass / volume, fill it out to find mass

10 = x / 40

400 = x

x = 400 g

Answer: This means that the population increased a 20% between the year 2000 and the year 2010.

Step-by-step explanation:

In this case, we have that 25,000 is the 100%.

Now we want to know which percentage represents 30,000

Let's suppose that the percentage is X.

Then we can have a system of equations:

30,000 = X

25,000 = 100%

To find the value of X, we can take the quotient of these two equations:

30,000/25,000 = X/100%

(30,00/25,000)*100% = X = 120%

Then in the 2000 we had a 100%, and in the 2010 there was a 120%.

The difference is:

120% - 100% = 20%

This means that the population increased a 20% between the year 2000 and the year 2010.

Answer:

V = 4 1/2 x 1 1/2 x 6 = 40 1/2 ft³

Step-by-step explanation:

Answer:

12/13

Step-by-step explanation:

Pythagorean theorem to find the leg opposite from the angle, x^2+5^2=13^2

x^2+25=169

x^2=144

x=12

sin(x)=12/13

Step-by-step explanation:

[tex] \sin(30) = \frac{y}{6} \\ y = 6 \times \sin(30) = 3[/tex]

Answer:

2 miles

Step-by-step explanation:

Given that :

Distance from home to store and back = 1/2 mile

In a week :

Number of times he walked from home to store and back = 1 time

Number of times she rode to store and back = 3 time

Note distance does not change whether she rode or walked:

Hence,

miles walked = 1/2 miles * 1 = 1/2 miles

Miles biked = 1/2 miles * 3 = 3/2 miles

Total Number of miles :

(1/2 + 3/2) = (1 + 3) /2 = 4/2 = 2 miles

Answer:

1 non linear

2 linear

3 no association

4 linear

5 non linear

6 no association

I will answer any questions you have

Answer:

linear: Bottom left, and middle top

nonlinear: Bottom middle, top left

no association: top right, bottom right.

Step-by-step explanation:

Linear is like a line it stays close together like a line of ants

nonlinear is curves- like a snake

no association is spread out, like a paint splatter

Answer:

If you slice a rectangular pyramid parallel to the base, you get a smaller rectangle as the cross-section.

Answer:

A rectangle

Step-by-step explanation:

A cross section parallel to the base of a pyramid will be a similar shape as the base of the pyramid.  In this case, a rectangle.

Answer:

Step-by-step explanation:

By the condition,

25° + 105° + x = 180° [Angle sum property of triangle]

=> 130 + x = 180

=> x = 180 - 130

=> x = 50° (Ans)

Answer:

-1

Step-by-step explanation:

the line is going down, and the dots are all only one interval away- hope this helps :)

Answer:

1

Step-by-step explanation:

the gradient is a value that indicates how much the x value increases as the y value increases. It can be written as

rise/run

or

change in  y value/change in x value

or

(y1-y2)/(x1-x2), where we know two coordinates (x1,y1) and (x2,y2).

We have two coordinates (0,0) and (3,3)

Therefore,

x1 = 0, y1 = 0

x2 = 3, y2 = 3

If we plug these values into the formula, it is [tex]\frac{3-0}{3-0} = \frac{3}{3} = 1[/tex]