Running the last lap of a 4 x 100-meter relay, Bob takes the baton for his team and pursues his opponent already 20 meters ahead of him. If Bob runs at an average speed of 8 meters per second and his opponent only runs 6 meters per second, will Bob overtake him and win the race? If he does not catch him, how close does he get before the opponent crosses the finish line? If he does catch him, how many seconds and how many meters will it take?

Answer:

37.68 inches OR about 38 inches

Step-by-step explanation:

To find the circumference from the diameter, you need to multiply the diameter by pie (3.14)

Answer:

29.7 ft tall

Step-by-step explanation:

29.75ft. tall is the building.

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.

Here, we have,

from the figure , we get,

Hypotenuse = 37 ft.

Base= 22 ft.

Let, the building = height = x ft.

Now , by Pythagorean theorem, we have,

x=√37²-22²

 =√885

 =29.75

Hence, 29.75ft. tall is the building.

To learn more on Pythagorean theorem click:

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The constant of proportionality of the proportional relationship between the number of wagon loads, x and the number of bales of hay Dwayne can haul, y, is given as follows:

4.

The standard definition of a proportional relationship is given as follows:

y = kx.

Hence the solution for the constant is given as follows:

k = y/x.

As the table represents a proportional relationship, the constant can be calculated from any pair, hence:

k = 20/5 = 4.

More can be learned about a proportional relationship at https://brainly.com/question/10424180

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Answer:$39.60

Step-by-step explanation:

$55 x 0.80= $44

$44 x 0.90=$39.60

Or

$55x 0.20=$11

55-11=44

$44x 0.10=4.40

$44 - $4.40=$39.60

Answer:

AB= [tex]\sqrt(5-1)^2 +(2+1)^2 = \sqrt16+9 =5[/tex]

BC= [tex]\sqrt(5-9)^2 + (2-5)^2 = \sqrt16+9=5[/tex]

AC = [tex]\sqrt(1-9)^2 + (-1-5)^2 = \sqrt64+36 = 10[/tex]

So, AC = AB + BC

A, B, C are collinear points

Step-by-step explanation:

I hope this helps!

Answer:

[tex]( - 2)[/tex]

Step-by-step explanation:

[tex]1 \div - \frac{1}{2} \\ 1 \times - \frac{2}{1} \\( - 2)[/tex]

Hope this helps you.

have a nice day!

Answer:

Step-by-step explanation:

b

Answer:

b hope it helps make brainlliest ty

Step-by-step explanation:

can you make me brainlliest

Answer: 38.8

Step-by-step explanation:

use formula C = π * D

Diameter = 6

C = π * 6

C = 18.8495559215 = 18.8

18.8 + 10 + 10 = 38.8

Answer:

72 in^3

Step-by-step explanation:

Volume: lwh

V = 6 · 3 · 4

V = 18 · 4

V = 72 in^3

Answer:

The right answers are 1,4 and 6

Answer:

x-3 =0

6=2x

x^2 = 9

Step-by-step explanation:

substitute the values, and you will get the answer!

have a great day!!

Answer:

[tex]area = {15}^{2} \\ v = \: l \times b \times h \\ area = l \times b = \\ x \times x = {15}^{2} \\ volume = 15 \times h \\ = 15 \times 7 \\ = {105}^{3} feet[/tex]

Answer:

105

Step-by-step explanation:

its right trust me

but make sure this is the question that you are doing

D-Salary(33) or S(33)

D is correct hope this helps

Answer:

yes

Step-by-step explanation:

Answer:

[tex]sec 0=\frac{\sqrt{66} }{8}[/tex]

Step-by-step explanation:

[tex]Cot0=-4\sqrt{2}[/tex]

[tex]sec0=\frac{\sqrt{33} }{4\sqrt{2} }[/tex]

[tex]=\frac{\sqrt{33} }{4\sqrt{4} } *\frac{4\sqrt{2} }{4\sqrt{2} }[/tex]

[tex]=\frac{4\sqrt{66} }{32}[/tex]

[tex]=\frac{\sqrt{66} }{8}[/tex]

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

hope it helps...

have a great day!!

Answer:-1

Step-by-step explanation:

Subtract plus 3

Answer:

-1

Step-by-step explanation:

x-y=3

x—Larger number

y—smaller number

x-(-4)=3

x+4=3

x=–1

Answer:

P = 1/6

Step-by-step explanation:

We have 4 places where we can put the cards.

Let's count the number of possible outcomes for each place.

In the first place, we can put one of 4 cards.

in the second place, we can put one of 3 cards (because there is already one card in the first place)

In the third place, we can put one of 2 cards

In the last place, we can put one of one cards.

The total number of different combinations is the product between the number of options for each place, then we have:

C = 4*3*2*1 = 24

Now we need to count the number of combinations such that the words BAD or CAB appear.

Those are:

BADC

CBAD

CABD

DCAB

4 outcomes out of 24.

Then the probability will be equal to the quotient between the number of outcomes where one of these words appears (4) and the total number of possible outcomes (24)

The probability is:

P = 4/24 = 1/6

The probability would be 16.7%

Answer:

(4 + 6) × Z = 10 × Z

Step-by-step explanation:

The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept. If you know two points that a line passes through, this page will show you how to find the equation of the line.

Answer:

-6(-2/3+2x)

=12/3+12x

=4+12x

4(1+3x)

Answer:

a) 0.0828 = 8.28% probability that a randomly selected student is in a high-level English class and has been bullied

b) 0.12 = 12% probability that a randomly selected student is in a music class and has been bullied

c) 0.0276 = 2.76% probability that a randomly selected student is in a music class, has been bullied, and is in a high-level English class

Step-by-step explanation:

Probabilities of independent events happening together:

The probabilities of independent events happening together is the multiplication of the probabilities of each event happening.

In this question:

0.23 probability that a student is taking a high-level English class.

0.36 probability that a student has been bullied.

1/3 = 0.3333 probability that a student is in music class.

(a) What is the probability that a randomly selected student is in a high-level English class and has been bullied?

0.23*0.36 = 0.0828

0.0828 = 8.28% probability that a randomly selected student is in a high-level English class and has been bullied

(b) What is the probability that a randomly selected student is in a music class and has been bullied?

0.36*1/3 = 0.12

0.12 = 12% probability that a randomly selected student is in a music class and has been bullied

(c) What is the probability that a randomly selected student is in a music class, has been bullied, and is in a high-level English class?

0.23*0.36*1/3 = 0.23*0.12 = 0.0276

0.0276 = 2.76% probability that a randomly selected student is in a music class, has been bullied, and is in a high-level English class

Answer:

25

Step-by-step explanation:

i smarte

Answer:

area of trapezium = 20 in^2

Step-by-step explanation:

here's your solution

==> area of trapezium = 1/2*(sum of parrel side)*distance between them

==> length of parrel sides = 6 in and 2 in

==> height = 5 in.

==> area of trapezium = 1/2(6 + 2) * 5

==> area of trapezium = 20 in^2

hope it helps

Step-by-step explanation:

sorry for this

"i try so can you rate"

Answer:

Ask your John Brown teacher!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

80 miles per hour, each hour it will travel 80 miles so for two hours tou do

80 x 2 = 160

Answer:

D

Step-by-step explanation:

80x2=40

it's just simple multiplecation but then again I cant spell multiplication so I mean

Answer:

20 days

Step-by-step explanation:

0.25 pound of food is eaten in 1 day

1 pound of food is eaten in 1 / 0.25

5 pound of food is eaten in 5/0.25 = 20 days

Answer:

with?

Step-by-step explanation:

Answer:

I can help you really fast, if you give me something to work on

Step-by-step explanation:

also, my life is blank like this question

9514 1404 393

Answer:

  x = 8

Step-by-step explanation:

The measure of the inscribed angle is half the measure of the intercepted arc.

  9x -25 = 94/2

  9x = 72 . . . . . . . add 25

  x = 8 . . . . . . . . . divide by 9