Mike jogged 6 laps around a 0.25 mile track on Tuesday and 7 laps on Thursday. How many miles did he job on Tuesday and Thursday?

Answer:

Let's find the area of 1 triangle (this may not be the formula but I'm doing it in a more easier way).

20(base) x 10.5(height) = 210

210 divided by 2 ( x 1/2) = 105

Since there are 4 sides we must multiply the area of 1 triangle four times! Since there are 4 sides of triangles.

105 x 4 = 420

Oh and I almost forgot! We need to find the area of the square below!

20 x 20 = 400!

Now we add both areas of all the triangles and the area of the bottom square:

420 + 400 = 820 in2 is your answer. (we use the unit 2 since we are finding areas and adding them up)

Formula of a triangle:

BH x 1/2

B(base) x H(height) x 1/2 (basically just dividing by 2)

The property of congruence illustrated in the statement is the transitive property.

The transitive property states that if A is congruent to B and B is congruent to C, then A is congruent to C. In other words, if two things are congruent to a third thing, they are also congruent to each other.

here,

In the statement "If AB ≅ DE, EF ≅ DE then AB ≅ EF," AB is congruent to DE, and EF is congruent to DE, so AB must also be congruent to EF according to the transitive property.

The other properties you listed are not applicable in this case. The symmetric property states that if A is congruent to B, then B is congruent to A. The reflexive property states that every object is congruent to itself. And multiplication is not a property of congruence.

Learn more about the property of congruence at

brainly.com/question/2039214

#SPJ4

Answer: 60°

Step-by-step explanation: 180 - 120 = 60.

Answer:

30 and 150

Step-by-step explanation:

The first angle is 30 degrees. The second angle is 150 degrees. Here's why:

Explanation:

The first angle will be expressed as x. Since the second angle is 120

degrees greater than the first, it will be expressed as  (x+120). Because they're supplementary, they'll add up to

180: x+(x+120)=180

Combine like terms.

2x+120=180

Subtract 120 from both sides.

2x=60

Divide by 2 to isolate for x.

x=30

Plug your data back in:

30 + (30 + 120) = 180

First angle: 30 degrees

Second angle: 150 degrees

Answer:

D (i hope)

Step-by-step explanation:

When you minus the highest to the lowest it is added by 10 so

160-140= 20

140-110=30

110-70= 40

70-20= 50

I had added 10 to 160 and got 170

Listen ducky:

160-140=20

140-110=30

110-70=40

70-20=50

20+30+40+50+10 (we need to add 10 on every part because of the question), so 10+10+10+20+30+40+50=170

The answer is D, my dear duck

We determined that the probability of lunch cost is between the above-mentioned value is P (0.2011 < Z < 0.2748)

Probability is the possibility of happening an event. It is expressed as the ratio of the number of favorable outcomes to the total possible outcome.

We can find probability from a statistical data based on the mean value and standard deviation.

given, average cost for lunch per person = mean value = $5.97

standard deviation of cost = $2.25

number of samples = 46

assume distribution of money spent is normal.

the probability of a single lunch patron that has a cost between $6.4225 and $6.5884 can be calculated by the following way.

Z-score = (actual price - mean price) / standard deviation

Z-score when actual price is $6.4225.

                    Z = ($6.4225 - $5.97) / $2.25

    Z = 0.2011

Now, Z-score when actual value is $ 6.5884.

 Z = ($6.5884 - $5.97) / $2.25

Z = 0.2748

If actual value is denoted by X than the probability is shown as

P (6.4225< X< 6.5884) and P (0.2011< Z< 0.2748)

For the group of 46 patrons the above probability is also the same.

To know more about probability in statistics visit:

https://brainly.com/question/15006619

#SPJ4

Answer:

the median best describes the data

the mean is less than 5 of the data points

the range only describes 2 of the data points

thus the median best describes the data

Step-by-step explanation:

Median is the number in the centre of a set of observations

0. 78, 84,85,90,91,92, the median is 85

range = highest - lowest = 92 - 0 = 92

mean = sum of observations / number of observations = 74.3

Answer:

3 grams

Explanation: To solve you have to divide the mass value by 1000.

3000/1000=3 Grams

I hope this helps :)

Distributive Property

Factoring

Functions

Let's organize what is given to us in the problem.

We are given a function f, defined as f(x) = x² + 3x - 10.

We are asked to find the values of b and c in f(x - 2) = x² + bx + c.

In order to solve the question, we first must find the full function of f(x - 2):

[tex]\displaystyle\begin{aligned}f(x - 2) & = (x - 2)^2 + 3(x - 2) - 10 \\& = \underbrace{x^2 - 4x + 4}_{\text{FOIL}} + \underbrace{3x - 6}_{\text{Distribute}} - 10 \\& = \boxed{ x^2 - x - 12 } \\\end{aligned}[/tex]

∴  [tex]\displaystyle \boxed{ f(x - 2) = x^2 - x - 12 }[/tex]

Now, we can correlate our variables to the f(x - 2) function by comparing them side-by-side:

[tex]\displaystyle\begin{aligned}f(x - 2) & = x^2 - x - 12 \\& = x^2 + bx + c \\& \Rightarrow \boxed{ b = -1 ,\ c = -12 }\end{aligned}[/tex]

∴ we have found the values of b and c.

∴ the value of b is equal to -1 and the value of c is equal to -12.

___

Learn more about functions: https://brainly.com/question/30017262

Learn more about Algebra I: https://brainly.com/question/16898384

___

Topic: Algebra I

Unit: Factoring

Answer:

Step-by-step explanation:

hello follow me on zepeto if this helps

16 is 33.3333% of 48. 33 is the whole number hope you get a

Answer:  √ x

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

If you vertically stretch the exponential function f(x)=2^x by a factor of 3, the resulting function will be y = 3*2^x

The standard exponential function is expressed as:

y = ab^x

The value of x determines the nature of a graph whether vertical or horizontal stretch.

If x  > 1, it is a vertical stretch

Given the function f(x) = 2^x, if you vertically stretch the exponential function f(x)=2^x by a factor of 3, the resulting function will be y = 3*2^x

Learn more on vertical stretch here: https://brainly.com/question/14325265

#SPJ1

Answer:

24a + 16g

Step-by-step explanation:

So the answer is 24a + 16g because you cant add variables together. When you multiply this because it is distibutive property you get that answer.

And also for extra proof,

Once you get the 6 you distributively divide to the power of the 92nd declaring independence for all turds stuck in your stomach.  

[(5-4)+1]*12

[1+1]*12

2*12

24

:D Hope this helps! (for real the first part is true)

The actual solution must be approximated to the tenth place.

How do you solve an equation to the nearest tenth?

To round the decimal number to its nearest tenth, look at the hundredth number. If that number is greater than 5, add 1 to the tenth value. If it is less than 5, leave the tenth place value as it is, and remove all the numbers present after the tenth place.

To estimate the tenth place, you have to determine the actual solution and the approximate.

Assume the solution to the system of equations is:

(x, y), (1.25, 1)

1.25 is to the hundredth place.

So, the next thing is to approximate 1.25 to 1.3 (the tenth place).

So, we have:

(x, y), (1.3, 1)

Hence, the actual solution must be approximated to the tenth place.

To learn more about the nearest tenth visit,

https://brainly.com/question/2226590

#SPJ4

Answer:

17.81 would be your answer.

Step-by-step explanation:

You would do 17.29 x 1.03 to get the price after sales tax is added which would be 17.81

The F-ratio is a measure used in statistical tests, specifically in ANOVA (Analysis of Variance) to test for differences between means of multiple groups.

a) On average, what value is expected for the F-ratio if the null hypothesis is true?

The answer is a. 1. If the null hypothesis is true, it means that there is no significant difference between the means of the groups being compared. Under this assumption, the F-ratio is expected to have a value close to 1, as the variance between the groups is not significantly different from the variance within the groups.

b) On average, what value is expected for the F-ratio if the null hypothesis is false?

The answer is d. Much greater than 1.00. If the null hypothesis is false, it means that there is a significant difference between the means of the groups being compared. Under this assumption, the F-ratio is expected to have a value much greater than 1, as the variance between the groups is significantly larger than the variance within the groups.

To learn more about F-ratio,

https://brainly.com/question/27310923

#SPJ4

Answer:

1

Step-by-step explanation:

V = pie x 7² x h

V = 3.14 ×7² x 10

V = 3.14 x 49 x 10

V = 3.14 x 490

V = 1538.6

If you add 2 it will make it 3077.2 and that goes over so 1

Hope this helps :)

Answer: uhm...

Step-by-step explanation:

2...?

The function’s average rate of change over the interval from x = 1 to x = 2 is: -2. The correct option b.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

We have the interval from x = 1 to x = 2.

To find the function’s average rate of change over the interval from x = 1 to x = 2 is:

We interpreted the interval in the coordinate form.

The curve from (1, 2) to (2, 0) is a straight line.

And the slope of the line is the average rate of change of the function.

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

m = (0-2) / (2-1)

m = -2/1

m = -2

Therefore, the average rate of change is -2.

To learn more about the slope;

brainly.com/question/3605446

#SPJ1

Answer:

Step-by-step explanation:

We know that , the equation of line when the slope and the coordinates are given is:

y - y1 = m(x - x1)

where x1 = 4 , y1 = -6 and m = 1/2

therefore, y -(-6) = 1/2(x - 4)

y + 6 = x/2 - 2

6+2 = x/2 - y

8 = x - 2y/2

16 = x - 2y

required equation : x-2y-16=0

Answer:

Collect like terms, ie do 9n-4n = 5n ...

5n will then be exactly divisible by 5 as 5n / 5 = n

Answer:

6.5 cm

Step-by-step explanation:

Given the perimeter is 33 cm

Sum the 4 sides and equate to 33

2(3x - 1) + 2(2x + 5) = 33

6x - 2 + 4x + 10 = 33

10x + 8 = 33 ( subtract 8 from both sides )

10x = 25 ( divide both sides by 10 )

x = 2.5

Then

shorter side = 3x - 1 = 3(2.5) - 1 = 7.5 - 1 = 6.5 cm

Answer:

the length of the shorter side is 6.5

(a) The distance traveled by motorcycle is 1548 ft.

(b) The distance traveled by motorcycle is 1512 ft.

(c) (b) is a lower estimate and (a) is an upper estimate since v is a decreasing function of t.

What is velocity?

The primary indicator of an object's position and speed is its velocity. It is the distance that an object travels in one unit of time. The displacement of the item in one unit of time is the definition of velocity.

Given table is:

t (s)        0       12      24     36     48      60

v (ft/s)   30      28     25     21      25      27

The distance traveled by motorcycle during this time period using the velocities at the beginning of the time intervals is:

12(30 + 28 + 25 + 21 + 25)

=12 × 129

= 1548 ft

The distance traveled by motorcycle during this time period using the velocities at the end of the time intervals is:

12(28 + 25 + 21 + 25 + 27)

=12 × 126

= 1512 ft

The distance traveled by motorcycle at the end of the time intervals is greater than the distance traveled by motorcycle at the beginning of the time intervals.

To learn more about time interval, click on the below link:

https://brainly.com/question/29675356

#SPJ1

Answer:   B

Step-by-step explanation:   [tex]8x-5x=3x\\3+9=12\\[/tex]

Hope this helps any

Answer:

B. 3x+12

Step-by-step explanation:

8x+3-5x+9

First combine the x. So, 8x-5x=3x

Next combine the 3 and the 9. So, 3+9=12

After you combined like terms your equation now looks like: 3x+12

Hope it helped you.

The value for the blanks after calculating the as per the given data is found to be as 4 and 9 respectively.

On solving the question we will get the answer of the final blank as 0.

The question can be rephrased as ,

__x 9 - __ x 4 = ___ - ___ = ___.

Now if we will place 4 in first blank and 9 in second blank we will get the result as follows,

4 x 9 - 9 x 4 = 36 - 36 = 0

Therefore , we will get our desired answer.

A relationship between two quantities or, more broadly, two mathematical expressions that asserts that the quantities have the same value or that the expressions reflect the same mathematical object is referred to as equality.

To learn more about equality

brainly.com/question/12323068

#SPJ4

Answer: .

Credit reporting agencies provide a free credit report each year upon request

Step-by-step explanation:

A credit report simply refers to the record of the credit history of a borrower from sources, such as collection agencies, banks, credit card companies, and governments.

It should be noted that an individual will be given one free copy of his or her credit report every year. Therefore, the correct option will be D.

Answer:

here you go

Step-by-step explanation:

35+a+b+c=270

35+a=90

a+b=180

35+90+c=180