Stephen covered a 42.165 marathon in the first position . Round off this distance to two decimal places​

Answer:

1.8-9=8+(-9)=?

2.+5-(14)= -9

3. -10-(-9)= -1

6.16-(+16)= 0

5.(+17)-(-20)-(12)= 25

8.5-(+7)-(-8)-3-(6)=9

7.-200-(-120)-25=105

10.-18+(-22)-(-31)=9

9.53-(-17)+(-6)=64

that's my answer

Answer:

The rate at which the tip of his shadow is moving down is [tex]\frac{24}{15} ft/sec[/tex]

Step-by-step explanation:

Given - A flood lamp is installed on the ground 200 feet from a vertical wall. A six-foot-tall man is walking towards the wall at the rate of 30 feet per second.

To find - How fast is the tip of his shadow moving down the wall when he is 50 feet from the wall ?

Proof -

From the given information, the figure becomes

Triangle ABC and Triangle DBE are similar triangle

AC/DE = BC/BE

⇒h/6 = 200/(200-x)

⇒h = 1200/(200 -x)

Now,

Differentiate h with respect to t, we get

[tex]\frac{dh}{dt} = 1200(-\frac{1}{(200-x)^{2} } )(-1)\frac{dx}{dt}[/tex]

⇒[tex]\frac{dh}{dt} = (\frac{1200}{(200-x)^{2} } )\frac{dx}{dt}[/tex]

Now,

If the rate of the tip is moving down the wall

At x = 50 feet, dx/dt = 30 feet per second

So,

⇒[tex]\frac{dh}{dt} = (\frac{1200}{(200-50)^{2} } )(30)[/tex]

⇒[tex]\frac{dh}{dt} = \frac{1200}{(150)^{2} } (30)[/tex]

⇒[tex]\frac{dh}{dt} = \frac{1200}{(150)(150) } (30)[/tex]

⇒[tex]\frac{dh}{dt} = \frac{24}{15 }[/tex]

So, we get

The rate at which the tip of his shadow is moving down is [tex]\frac{24}{15} ft/sec[/tex]

Answer:

6+8

Step-by-step explanation:

Answer:

Attachment: 1 Image

Step-by-step explanation:

Answer:

[tex]\boxed{\pink{\tt I = \dfrac{1}{3}sin(3x) - 3cos(x) + C}}[/tex]

Step-by-step explanation:

We need to integrate the given expression. Let I be the answer .

[tex]\implies\displaystyle\sf I = \int (cos(3x) + 3sin(x) )dx \\\\\implies\displaystyle I = \int cos(3x) + \int sin(x)\ dx [/tex]

[tex]\implies\displaystyle\sf I = \int cos\ u \dfrac{1}{3}du + \int 3sin \ x \ dx \\\\\implies\displaystyle \sf I = \int \dfrac{cos\ u}{3} du + \int 3sin\ x \ dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3}\int \dfrac{cos(u)}{3} + \int 3sin(x) dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3} sin(u) + C +\int 3sin(x) dx \\\\\implies\displaystyle \sf I = \dfrac{1}{3}sin(u) + C + 3\int sin(x) \ dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3}sin(u) + C + 3(-cos(x)+C) \\\\\implies \underset{\blue{\sf Required\ Answer }}{\underbrace{\boxed{\boxed{\displaystyle\red{\sf I = \dfrac{1}{3}sin(3x) - 3cos(x) + C }}}}}[/tex]

Answer:

A) 24 ( 4*6)

B) 15 ( 75%of 80 is 60...

60÷4 is 15)

Answer:

The answer is 30%

Step-by-step explanation:

4 times 6=24

24 divided by 80 times 100 is 30

(That's also how to find your percentage on a test)

Answer:

49

Step-by-step explanation:

the number would simply be

14÷2=7

7²=49

If G is the incenter of ∆ABC, then GD = GF = GE.

Given, GD is 3x + 5 and GF is 6x - 4.

According to the above statement,

GD = GF

or, 3x + 5 = 6x - 4

or, 5 + 4 = 6x - 3x

or, 9 = 3x

or, 9/3 = x

or, 3 = x

The value of x is 3.

By putting the value of x in GD or GF, we get

GD = 3(3) + 5 = 9 + 5 = 14

GF = 6(3) - 4 = 18 - 4 = 14

Therefore, GE = 14.

Answer:

speed = 54.5 miles/hr

Step-by-step explanation:

speed = distance/time

distaance = 735.75

time = 7 + 6.5 = 13.5

speed = 735.75 / 13.5

speed = 54.5 miles/hr

Answer:

Helen kayaked for five hours.

Step-by-step explanation: First subtract the initial fee ($6.00) from the total charge ($21), $21 - $6 = $15. Now, divide the $15 she was charged for kayaking by $3 (because it costs 3 bucks an hour to kayak plus the 6 buck initial fee.) 15 divided by 3 = 5. So she kayaked for 5 hours.

Answer:

60°

Step-by-step explanation:

If it a equilateral triangle

Answer:

Right circular cone

Solve for slant height

l=17cm

r Radius

8

cm

h Height

Answer:

There is none there is no variable.

Step-by-step explanation:

Hope this helps!!

Answer:

there is no co efficient a co efficient is the constant before the variable when its attached.

Step-by-step explanation:

7equitacion h< y ⚽ de los siguientes dominios

Answer: 3. 1/3 + 1/4

Step-by-step explanation:

1/3 = 4/12

1/4 = 3/12

4/12 + 3/12 = 7/12

When you have a variable in an equation, you have to isolate it on one side. To do this, look for any other numbers and if they are added, multiplied, divided, or subtracted from x.

Next, you take that number and do the opposite of its operation to the other side.

In this example, you have x/5=20

So we first identify that x is being divided by 5

Then we take 5, and do the opposite of division to 20.

So x/5=20  turns into x = 5x20

Then we simplify, x = 100.

If your not sure your answer is write, you can always put the value of x back into the first equation and solve to see if its true:

X/5=20

100/5=20

20=20

Answer:

The Solar System is the gravitationally bound system of the Sun and the objects that orbit it, either directly or indirectly. Of the objects that orbit the Sun directly, the largest are the eight planets, with the remainder being smaller objects, the dwarf planets and small Solar System bodies.

Step-by-step explanation:

Answer:

its 75

parallel angle degrees always should be 360

№3

[tex]\sin C = \frac{AB}{AC} = \frac{27}{45} = \frac{3 * 9}{5 * 9} = \frac{3}{5}[/tex]

Answer: D (3/5).

№4

[tex]\cos A = \frac{AB}{AC} = \frac{24}{30} = \frac{3 * 4 * 2}{3 * 5 * 2} = \frac{4}{5}[/tex]

Answer: C (4/5).

№5

[tex]\tan C = \frac{AB}{BC} = \frac{32}{24} = \frac{2 * 2 * 2 * 4}{2 * 2 * 2 * 3} = \frac{4}{3}[/tex]

Answer: D (4/3).

Answer:

3.) Sin C = option D, [tex]\frac{3}{5}[/tex]

4.) Cos A = option C, [tex]\frac{4}{5}[/tex]

5.) Tan C = Option D, [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

3.) Sin C = [tex]\frac{opposite}{hypotenuse} = \frac{27}{45} = \frac{3}{5}[/tex]

4.) Cos A = [tex]\frac{adjacent}{hypotenuse} = \frac{24}{30} = \frac{4}{5}[/tex]

5.) Tan C = [tex]\frac{opposite}{adjacent} = \frac{32}{24} = \frac{4}{3}[/tex]

Hope this helps!

Answer:

35A) arc AC = 360-(100+110+80)=

360-290 = 70°

35B) L D = ½× 70 = 35°

35C) L AEC = ½(100+70)=½×170= 85°

35D) L P = ½(100-70) = ½×30 = 15°

Answer:

If cookies are for $1 and brownies are for $2, let number of cookies = x and number of brownies = y

∴ $1*(x*1) + $2*(y*1) = $13

Step-by-step explanation:

1) You can buy 4 brownies for $2 each = 2*4 = $8

The rest you can buy cookies = 5 cookies = $5

$8+$5=$13

2) You can buy 5 brownies and 3 cookies = $10+$3 = $13

3) You can buy 3 brownies and 7 cookies = $6+$7=$13

Equation: -

If cookies are for $1 and brownies are for $2, let number of cookies = x and number of brownies = y

∴ $1*(x*1) + $2*(y*1) = $13

Answer:0.143

Step-by-step explanation:

Answer:

Goodness of fit

Step-by-step explanation:

Given

The theoretical probabilities

See comment for complete question

Required

The type of test to be use

From the question, we understand that you are to test if the die is loaded or not using the given theoretical probabilities.

This test can be carried out using goodness of fit test because the goodness of fit is basically used to check the possibility of getting the outcome variable from a distribution. In this case, the outcome of the variables are the given theoretical probabilities.

In a nutshell, the goodness fit of test determines if the given data (in this case, the theoretical probabilities) is a reflection of what to expect in the original population.

Answer:

140%

Step-by-step explanation:

The slope of the tangent line to y(x) at any given x is equal to the derivative dy/dx at that point. Differentiate to get

[tex]\dfrac{\mathrm dy}{\mathrm dx}=\boxed{4x-3}[/tex]

and evaluate it at x = 3 to get the slope, 4•3 - 3 = 9.