3.1. Two friends. Ben and Mike, take part in a 15km fun
run. Ben took 1 h 23 min 12 sec and Mike took 1 h 39
min 4 sec. How long did Ben wait at the finish line for
Mike?​

Answer:

10sqrt{2}

Step-by-step explanation:

This is a 45-45-90 right triangle. This means that the two legs are both the same length, call it x, and the hypotenuse is square root 2 times the given leg.  There's a proof for this, but it's long, and you can find it online.    

Answer:

search it up :)

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Answer:

I suggest method 1 because it is unbiased and systematic.  

The second method requires a lot on the initiatives of customers, and likely to have extreme cases only (liked very much or disliked very much).  

The third is biased towards teenagers, which may not be the only category of customers who ordered pizzas.

Again, the fourth requires initiative from the customer, so biased towards customers who had something to say.

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

Answer:

42 square feet

Step-by-step explanation:

add all of the square feet together, including the sides parallel that don't tell you how many inches. What I mean by parallel is the sides across from it.

Answer:

3.84 feets

Step-by-step explanation:

Given that:

θ = 88°

Radius, r = 2.5

The length of section of the wire, L ; Length of an arc

L = θ / 360° * 2πr

L = 88/360 * 2*π*2.5

L = (88/360) * 15.707963

L = 3.8397

Length of section of wire = 3.84 feets

Answer:

[tex]P(A) = \frac{3}{10}[/tex]

Step-by-step explanation:

Given

[tex]S = \{11,12,13,14,15,16,17,18,19,20\}[/tex]

Required

The probability of having a multiple of 3

Let the event of having a multiple of 3 be represented as: A

So:

[tex]A = \{12,15,18\}[/tex]

[tex]n(A) = 3[/tex]

So, the probability is:

[tex]P(A) = \frac{n(A)}{n(S)}[/tex]

Where

[tex]n(S) = 10[/tex] i.e. the sample size

So:

[tex]P(A) = \frac{n(A)}{n(S)}[/tex]

[tex]P(A) = \frac{3}{10}[/tex]

Answer:

3.3/2 = 1.65² x 3.14 = 8.54865

Answer:

s=6.5

Step-by-step explanation:

to check, just substitute s for its value

6.5+10.5+17

so the correct answer is, s=6.5

Answer:

yo is your math class teacher named wicker? I think I'm ur classmate lol

Answer:

The volume of the cone is 3140cm³

Step-by-step explanation:

Volume of come = 1/3 × πr²h

r = diameter/2 = 20/2 = 10cm

h = 30cm

π = 22/7

Volume = 1/3 × 22/7 × 10² × 30

Volume = 1/3 × 22/7 × 100 × 30

Volume = 3142.86cm³

Volume = 3140cm³

Answer:

b

Step-by-step explanation:

Answer:

76

Step-by-step explanation:

I made a chart to simplify it

1 | -8

2| -2

3| 4

4| 10

5| 16

6| 22

7| 28

8| 34

9| 40

10| 46

11| 52

12| 58

13| 64

14| 70

15| 76

Answer:

Molecules

Step-by-step explanation:

I hope this helps!

Answer:

40%

Step-by-step explanation:

6/15=favorable amount/total amount

6/15=2/5

2/5*20

Answer: 40%

6/15 can be simplified to 2/5. multiply by 20 on both sides to get 40/100 (40%)

Answer:

896 containers

Step-by-step explanation:

Given that;

1 pint = 1 container

Convert 112 gallons to pint

1 pint x 0.125 gallons

x = 112gallons

Cross multiply

0.125x = 112

x = 112/0.125

x = 896 pints

Since sour cream is sold only in 1-pint containers, then the total container she will buy is 896 containers

Step-by-step explanation:

[tex]i \: \: think \: \: it \: \: is \: \\ \\ {a}^{2} - 2ab + {b}^{2} \\ \\ that \: is \: for \: \: {(a - b)}^{2} [/tex]

I hope that is useful for you :)

Answer:

Step-by-step explanation:

Question says that it uses 120 feet of fencing material to enclose three sides of the play area. This means there are 3 sides. Putting this into equation, we have something like this.

120 = L + 2W

Where

LW = area.

Again, in order to maximize the area with the given fencing, from the equation written above, then Width, w must be = 30 feet and length, l must be = 60

On substituting, we have

A = LW = (120 - 2W) W

From the first equation, making L the subject of the formula, we have this

L = 120 - 2W, which then we substituted above.

On simplification, we have

L = 120W -2W²

Differentiating, we have

A' = 120 - 4W = 0

Remember that W = 30

So therefore, L = 120 - 2(30) = 60 feet

The required length of the rectangular garden is 60 feet

According to the question, the school uses 120 feet of fencing material to enclose three sides of the play area. This means there are 3 sides.

Substitute into the perimeter of the rectangle will give:

120 = L + 2W

Area = LW

In order to maximize the area with the given fencing, from the equation written above, then w = 30 feet and l = 60

On substituting, we have;

A = LW = (120 - 2W) W

L = 120 - 2W,

On simplification, we have

L = 120W -2W²

Differentiating, we have

A' = 120 - 4W = 0

Remember that W = 30

So therefore, L = 120 - 2(30) = 60 feet

Hence the required length of the rectangular garden is 60 feet

Learn more on area of rectangular garden here: https://brainly.com/question/386401

Answer:

<

Step-by-step explanation:

-6 is lower than  -1. you can make a little line and count backwards from 0. -1 is closer to 0 than -6 is, therefore -1 being bigger and the sign being <

Answer:

The answer to your question is 16.27

Explanation:

You would start with the equation,

15.35 + 6% = C (Cost)

15.35 · 6% = 0.921

15.35 + 0.921 = 16.271

Round the one down, since it is less than four, and you get 16.27

Hope this helps.

waffletowne

Answer: Chris's Gym pays $2.75

Step-by-step explanation:

So i was glancing at this question wondering how I was gonna figure it out then flipped it upside down in my head and figred out what I was missing

So basically we know that Tyrell pays $2.00 for court reservations

Chris on the other hand according to the table pays $52.75 for court reservation in addition to his monthly fee. Now we have to find out how much is just the court fee. So if we look at the next box I realized that a second court recomendation costs $55.5 and I realized that to find the court reservation costs I needed to subtract so 55.5-52.755= 2.75 which means Chis has a monthly costs of 50 and pays $2.75 for a court holding

Answer: The GCF of the terms of [tex]3x^4-9x^2-12x[/tex] is [tex]3x[/tex].

Step-by-step explanation:

We need to find:  GCF(Greatest common factor) of the terms of [tex]3x^4-9x^2-12x[/tex].

The greatest common factor(GCF) is the greatest factor that divides two expressions.

Here,

[tex]3x^4=3\times x \times x \times x \times x \\9x^2=3\times 3 \times x \times x\\12x=3\times 2 \times 2 \times x[/tex]

The greatest common factor of [tex]3x^4-9x^2-12x[/tex] = [tex]3x[/tex]

Hence, the GCF of the terms of [tex]3x^4-9x^2-12x[/tex] is [tex]3x[/tex].

Answer:

in right angled triangleBCD

BC=√{DC²-BC²)=√{10²-6²)=8

again in right angled triangle ABC

AB=√(BC²-AC²)

x=√(8²-7²)=3.87

Answer:

124

Step-by-step explanation:

the top square is 16 by 6 which will give you an area of 124 the bottom square has dimensions of 2 by 14 which is 28 add those numbers together to get your answer.

mode is 4 and the median is also 4

mode is the number that appears the most which is 4 and median is the number that is in the middle when you line up all the numbers in order  (0,2,2,3,3,4,4,4,4,5,5,5,6,6,10)

Answer:

1. 1/6

2. 1/2

Step-by-step explanation:

A dice has 6 sides. So the sample space for this question =

[1,2,3,4,5,6]

1. From the sample space we can see that 6 occurs only once in a dice

So probability of a 6

= 1/6

2. Number of odds = 3 (1,3,5)

Probability Leah rolls an odd number

= Odd/total

= 3/6

= 1/2

Answer:

P = Parker

According to the question,

Equation for Jessica's height = 8 - 2P