Hank is running sprints on a football field and likes to challenge himself, so instead of running straight down the field, he runs on the diagonal. Of the field is 50 yards wide and 100 yards long, how far does he run on the diagonal? Round your answer to the nearest yard.

Answer:

DE = 21

Step-by-step explanation:

Recall: the ratio of the corresponding side lengths of similar triangles are equal

Given that ∆ABC ~ ∆DEF, therefore,

AB/DE = BC/EF = AC/DF

AB = 8.4

DE = x

BC = 10

EF = 25

AC = 16.5

DF = 41.25

Let's find DE using AB/DE = BC/EF. Thus:

8.4/x = 10/25

Cross multiply

x*10 = 25*8.4

10x = 210

Divide both sides by 10

x = 210/10

x = 21

DE = x = 21

Answer:

A. x = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra II

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle 216 = 6^{2x - 1}[/tex]

Step 2: Solve for x

Answer:

According to me it should be Option B, 15.31

Hope this helps!

The expected value for the age of a randomly chosen student is,

⇒  15.38

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that:

Total number of students,

⇒ n = 1500,

And, Age : 13, 14, 15, 16, 17, 18

Probability : 0.01, 0.25, 0.27, 0.30, 0.16, 0.01

Now,

We can Calculate the expected value as shown below,

E = 13 × 0.01 + 14 × 0.25 + 15 × 0.27 + 16 × 0.30 + 17 × 0.16 + 18 × 0.01

E = 0.13 + 3.5 + 4.05 + 4.8 + 2. 72 + 0.18

E = 15.38

Therefore, The expected value for the age of a randomly chosen student is 15.

To know more about probability:

brainly.com/question/743546

#SPJ7

Answer:

0

Step-by-step explanation:

12.5/3.79 = 3.2981530343

3.2981530343 rounded = 3.3

1/3 = 3.33333333333333

3.33333333333333 rounded = 3.3

3.3 - 3.3 = 0

9514 1404 393

Answer:

  $0.03 per ounce

Step-by-step explanation:

The unit rate for the smaller bag is ...

  $1.00/(3 oz) = $0.333 /oz

For the larger bag, it is ...

  $3.79/(12.5 oz) = $0.303 /oz

Then the difference in unit rates is ...

  $0.333 -0.303 = $0.03 . . . per ounce

Answer:

85%

Step-by-step explanation:

to find percent of the throws made put (throws made/total free throws)*100

so (85/100)*100= 85%

Answer:

160,000

Step-by-step explanation:

                   251

                × 638

     _______________

                2008

                753

    +       1506

__________________

            160138

Product to the  nearest thousand = 160,000            

Answer:

(i)

[tex] x \alpha y {3} \\ \frac{x}{y {3} } = k[/tex]

(ii)

[tex] \frac{x}{y {3}^{} } = \frac{x}{y {3}^{} } \\ \frac{32}{ {2}^{3} } = \frac{x}{6 {}^{3} } \\ \frac{32}{8} = \frac{x}{216} \\ x = 864[/tex]

(iii)

[tex] \frac{32}{8} = \frac{108}{y {}^{3} } \\ {y}^{3 } = 27 \\ y = \sqrt[3]{27 } \\ y = 3[/tex]

Answer:

36 green apples

Step-by-step explanation:

Red=40%

Green =x%

40/100 × 60apples

0.4×60

24red apples

so 60-24

36green apples

Answer:

b) 36.

Step-by-step explanation:

Justicemoya35 has an excellent answer, but I will provide a slightly different approach!

According to the word problem, the box contains 60 apples.

If 40% of the apples are red, then 60% of the apples are green.

As I mentioned before, there are 60 apples; 60% of the 60 apples are green.

This means we have the find 60% of 60.

We can find the percentage of a number by using this formula:

60% OF 60

[tex]\frac{is}{of} =\frac{percent}{100}[/tex]

[tex]\frac{x}{60} =\frac{60}{100}[/tex]

Now that I've correctly set up the problem, we cross multiply, then divide the products.

[tex]60*60=3600[/tex]

[tex]100*x=100x[/tex]

[tex]3600/100x=36[/tex]

[tex]x=36.[/tex]

Therefore, 36 apples are red.

Answer:

I added the answer as a screenshot, using math solvers is helpful for math problems, I haven't learned this yet but I found the answer. Also, I only need one more person to mark me brainliest to move onto the next level which is expert.

Hope I helped :)

Answer:

D

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

it describes how much the shown graph extends left and right.

Note that 4 is included, but -2 itself not. that's why it's empty and A isn't correct.

B and D are completely inapplicable

pls brainliest

Answer:

11 pieces

Step-by-step explanation:

19 1/4 ÷ 1 3/4

19 x 4 = 76 + 1 = 77

1 x 4 = 4 + 3 = 7

77/4 ÷ 7/4

77/4 ÷ 7/4 = 11/1

11 pieces

(Just copy my work above for Part B)

Answer:

[tex]y=-2x+8[/tex]

Step-by-step explanation:

In slope-intercept form, the equation of a line is given by [tex]y=mx+b[/tex], where [tex]m[/tex] is the slope of the line, [tex]b[/tex] is the y-intercept, and [tex](x,y)[/tex] represent the coordinates of any point the line passes through.

Since we're given two points the line passes through, we can find the slope of the line using the slope formula [tex]m=\frac{\Delta y}{\Delta x}[/tex]:

[tex]m=\frac{-8-6}{8-1}=\frac{-14}{7}=-2[/tex]

Now we can plug in any point the line passes through to find the y-intercept:

[tex]6=-2(1)+b,\\6=-2+b,\\b=8[/tex]

Thus, the equation of this line is equal to [tex]y=-2x+8[/tex].

Answer:

3^16

Step-by-step explanation:

See The image below for steps:)

Answer:

3^16

Step-by-step explanation:

Simply follow the laws of exponents and multiply the exponents.

3^16

Answer:

v=3.14 r 2 h

3.14 (2)(2)(7)= 87.9

Answer:

The answer for the Volume is 87.9 to 1d.p or 88in³ to the nearest tenth

Step-by-step explanation:

Volume of a cylinder =pir²h

r=d/2=4/2=2in

V=3.14×2²×7

V=3.14×4×7

V=87.92in³

V=87.9in³ to 1d.p

V=88in³ to the nearest tenth

Answer:

3.33

4.33

TVE figures is that

Answer:

The equation of the circle is [tex]x^2 + (y + 3)^2 = 11[/tex]

Step-by-step explanation:

Equation of a circle:

The equation of a circle with center [tex](x_0,y_0)[/tex] and radius r is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

Center (0, -3)

This means that [tex]x_0 = 0, y_0 = -3[/tex]

Radius square root of 11

This means that [tex]r = \sqrt{11}[/tex]

Equation of the circle:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

[tex](x - 0)^2 + (y - (-3))^2 = (\sqrt{11})^2[/tex]

[tex]x^2 + (y + 3)^2 = 11[/tex]

The equation of the circle is [tex]x^2 + (y + 3)^2 = 11[/tex]

Answer:

The standard deviation of the sampling distribution of sample means would be 0.8186.

Step-by-step explanation:

We are given that

Mean of population=23.2 pounds

Standard deviation of population=6.6 pounds

n=65

We have to find the standard deviation of the sampling distribution of sample means.

We know that standard deviation of the sampling distribution of sample means

=[tex]\frac{\sigma}{\sqrt{n}}[/tex]

Using the formula

The standard deviation of the sampling distribution of sample means

=[tex]\frac{6.6}{\sqrt{65}}[/tex]

[tex]=0.8186[/tex]

Hence,  the standard deviation of the sampling distribution of sample means would be 0.8186.

Answer:

192

Step-by-step explanation:

Remove parentheses from the expression

4·6·8

24·8

192

Hope I helped :)

9514 1404 393

Answer:

  8. A = {Delaware, New Jersey, Pennsylvania}

  9. |B| = 3

Step-by-step explanation:

8. Dates prior to 1 Jan 1788 are those in 1787. The three states admitted in 1787 are listed as Delaware, Pennsylvania, New Jersey. It is usually convenient to list elements of a set in lexicographical order:

  A = {Delaware, New Jersey, Pennsylvania}

__

9. The months June and July appear 3 separate times on the list, so there would be 3 elements in the set B.

  |B| = 3

Answer:

(4,-5)

Explanation:

Answer:

1 option 1 option 1 option

Answer: 1st choice

Step-by-step explanation: This is because the minimum is 5 in the box and whisker plot. And it matches with choice 1 .And the maximum is 35 which matches with choice 1.YOu have to find median of choice 1 by crossing out numbers until you have the middle number.

Answer:

C. 11.60 ounces to 12.60 ounces

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean 12.10, standard deviation 0.25.

In which range will the amount of water dispensed be found 95% of the time?

By the Empirical Rule, within 2 standard deviations of the mean. So

12.10 - 2*0.25 = 12.10 - 0.5 = 11.60

12.10 + 2*0.25 = 12.10 + 0.5 = 12.6

So the correct answer is given by option C.

Answer:

-14

Step-by-step explanation:

just like 8+6 = 14

-8-6 = -14

Answer:

37.68 cm

Step-by-step explanation:

Formula = 2πr

2 * 3.14 * 6

3.14 * 12 = 37.68

37.68 cm

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

37.68 the first answer

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

let the number be n, then

[tex]\frac{n+62}{7}[/tex] = n - 4 ( multiply both sides by 7 to clear the fraction )

n + 62 = 7n - 28 ( subtract n from both sides )

62 = 6n - 28 ( add 28 to both sides )

90 = 6n ( divide both sides by 6 )

15 = n

That is the number is 15

It would be a rectangular prism

9514 1404 393

Answer:

  x = 24

Step-by-step explanation:

The two angles are complementary, so their sum is 90°.

  x° +(3x -6)° = 90°

  4x = 96 . . . . . . . . . . . . divide by °, add 6

  x = 24 . . . . . . . . . . . . . divide by 4