A walkway forms one diagonal of a square playground. The walkway is 14 m long. How long is a side of the playground?

Answers

Answer 1

Answer: The side of the playground is around 10 meters long

Step-by-step explanation:

use the diagonal as the hypotenuse of a right triangle, where the sides of the square form the legs of said triangle.

Usually

[tex]a^{2} +b^{2} =c^{2}[/tex]

since we know a and b are the same length (sides of a square are congruent) we would have

[tex]a^{2} +a^{2} =c^{2} \\2a^{2} =c^{2}[/tex]

We know that c is 14 so

[tex]2a^{2} =14^{2} \\2a^{2} =196\\a^{2} =98\\a=\sqrt{98} \\a= 9.999[/tex]


Related Questions

Help me pls I really need help

Answers

I think is 200 minutes

9996666669999999999999 + 767859439234567890

Answers

Answer:

9.9974345e+21

Step-by-step explanation:

im a big brain

1/2 divided by 4 pls help

Answers

Answer:

1/8

Step-by-step explanation:

1/2÷4=

1/2×1/4=1/8

Answer:

1/8= 0.125

Step-by-step explanation:

1/2÷4

1/2 x 4 = 1/8

The answer to 1/2 divided by 4 in fraction form is: 1/8.

Simplify the following expression: 3x-(2+4x)

Answers

Answer:negative x and negative 2

-x    -2

Step-by-step explanation:

determine if function. HELLPPP If you awnser correctly i will try and give you a brainlyyyy. Also which one do I feel out in the bottom?​

Answers

9514 1404 393

Answer:

  (b)  Function; The table follows the specific rules for being a function.

Step-by-step explanation:

The specific rule the table follows is that no input value is repeated. That is the only requirement for the relation to be a function.

Assume that the heights of men are normally distributed with a mean of "71.3" inches and a standard deviation of 2.1 inches. If 36 men are randomly​ selected, find the probability that they have a mean height greater than 72.3 inches. Round to four decimal places.

Answers

Answer:

0.0021 = 0.21% probability that they have a mean height greater than 72.3 inches.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Assume that the heights of men are normally distributed with a mean of "71.3" inches and a standard deviation of 2.1 inches.

This means that [tex]\mu = 71.3, \sigma = 2.1[/tex]

Sample of 36:

This means that [tex]n = 36, s = \frac{2.1}{\sqrt{36}} = 0.35[/tex]

Find the probability that they have a mean height greater than 72.3 inches.

This is 1 subtracted by the pvalue of Z when X = 72.3. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{72.3 - 71.3}{0.35}[/tex]

[tex]Z = 2.86[/tex]

[tex]Z = 2.86[/tex] has a pvalue of 0.9979

1 - 0.9979 = 0.0021

0.0021 = 0.21% probability that they have a mean height greater than 72.3 inches.

what is the diameter of a circle with a radius of 4.375"? 2.187" or 2.375" or 8.375" or 8.750"

Answers

DONT CLICK ON THE LINKS! It’s 8.750 BY THE WAY the radius is half the diameter so just add the radius by itself or multiply by 2

The vertices of the triangle shown are (-2, 2), (4, -1), and (-2, -3).
y
What is the area of the triangle?
O A 11 square units
OB 15 square units
o C.13 square units
O D. 17 square units

Answers

Answer: 15

Step-by-step explanation:

34 + (-21) +15 = 0
5
-2
NE
2.

Answers

Answer:

[tex]34 + ( - 21) + 15 = 28[/tex]

Liam has a bag containing 5 red, 2 blue, 5 green, 6 yellow and 2 white marbles that
are all the same size and shape. What is the probability of randomly choosing 2 green
marbles without replacing?

Answers

Answer:

5 green

20 total

first green = 5/20 = 1/4

second green = 4/19

(1/4)(4/19) = 1/19

Step-by-step explanation:

Sam has a rope that is 5 feet long. Brittney has a rope that is 45 4 5 as long as Sam's rope. Logan has a rope that is 114 1 1 4 times as long as Sam's rope. Holly has a rope that is 88 8 8 as long as Sam's rope. Part A Without completing the multiplication, whose rope is longer than Sam's rope? Drag words and numbers to the boxes to explain. They may be used once, more than once, or not at all. added to

Answers

42.3...................?

Help please and no links

Answers

Answer:

1) should be B

2) should be C

Step-by-step explanation:

Hi I need ur help! (And this is the other one if you saw my last question)

Answers

Answer:

Hi gimmie brainly

thanks

4x^2+19x+19=0 to the nearest tenth

Answers

Answer:

the answer is

Step-by-step explanation:

find x


help please, asap.

Answers

Answer:

110

Step-by-step explanation:

To solve first find the measurement of the angles inside the triangle. The angle across from the 60-degree angle is also 60 degrees because the two angles are vertical.

Then you can find the missing angle in the triangle by subtracting 50 and 60 from 180 because all triangles equal 180 degrees. This means y=180-(50+60); therefore, y=70.

Finally, you can x because the 70-degree angle is complementary to x. This means when they are added they will equal 180. So to solve do x=180-70, which equals 110. Therefore, x=110.

Answer:

180 - 50 - 60 = 70°

x = 180 - 70 = 110°

During a cross-country road trip, Nathan predicts that he will average 22.6 miles per gallon.
During the trip, he drives 2,882 miles and uses 131 gallons of gas. Calculate his percent error,
rounded to the nearest whole percent.

3%
6%
13%
22%

Answers

9514 1404 393

Answer:

  (a) 3%

Step-by-step explanation:

Nathan's actual mileage was ...

  (2882 mi)/(131 gal) = 22.0 mi/gal

The error can be computed from ...

  error % = (predicted/actual -1) × 100% = (22.6/22 -1) × 100% ≈ 2.73%

Nathan's prediction was high by about 3%.

Patrick is hanging supports on the
wall for a shelf. What is the measure
of the unknown angle?

Answers

Answer:

55

Step-by-step explanation:

straight lines are always 180.

[tex]180=125+x\\180-125=125+x-125\\55=x[/tex]

Answer correct answer for brainliest

Answers

Answer:

Bro it’s a’c’d the sun the moon and the earth their energy works together pushing and pulling towards the earth creating a gravitational pull.

Step-by-step explanation:

Answer:

It's all of the above. Hope this helps :)

I may be wrong

If Jim works at Fire Fighting Equipment, has $32,874 in sales in one week,
and as paid a weekly salary of $452 plus a commission of .9% on sales
between $15,000 and $25,000, with 1.1% paid on sales in excess of
$25,000, no commission is paid on the first $15,000, what is his gross
earning?

Answers

Gross income= $813.61
Step-by-step explanation:
Giving the following information:
Sales= $32,874
Fixed salary= $452
Commission= 1.1% paid on sales in excess of $25,000.
To calculate the gross income, we need to use the following formula:
Gross income= 452 + y*x
y= percentage comission
x= sales
For $32,874 sales:
Gross income= 452 + 0.011*32,874
Gross income= $813.61

What is number 61 and a step by step explaination please?

Answers

1/3 ln(x) + ln(2) - ln(3) = 3

Recall that [tex]m\log_b(n)=\log_b(n^m)[/tex], so

ln(x ¹ʹ³) + ln(2) - ln(3) = 3

Condense the left side by using sum and difference properties of logarithms:

[tex]\log_b(m)+\log_b(n)=\log_b(mn)[/tex]

[tex]\log_b(m)-\log_b(n)=\log_b\left(\dfrac mn\right)[/tex]

Then

ln(2/3 x ¹ʹ³) = 3

Take the exponential of both sides; that is, write both sides as powers of the constant e. (I'm using exp(x) = e ˣ so I can write it all in one line.)

exp(ln(2/3 x ¹ʹ³)) = exp(3)

Now exp(ln(x)) = x for all x, so this simplifies to

2/3 x ¹ʹ³ = exp(3)

Now solve for x. Multiply both sides by 3/2 :

3/2 × 2/3 x ¹ʹ³ = 3/2 exp(3)

x ¹ʹ³ = 3/2 exp(3)

Raise both sides to the power of 3:

(x ¹ʹ³)³ = (3/2 exp(3))³

x = 3³/2³ exp(3×3)

x = 27/8 exp(9)

which is the same as

x = 27/8 e


PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!

Answers

Answer:

QPN and TSU

Step-by-step explanation:

They're both exterior angles and they are both alternate to each other.

If a truck used 25 gallons to travel 375 mies, how many miles would it travel on 4 gallons of gas?​

Answers

Answer:

93.75 miles if im not mistaken

Step-by-step explanation:

because the most miles is 375 so you would divide that number by four to see how many miles u can go before filling up again.

Find the area of the polygon with E(-3,2), F(1,5), G(5,-1), H(1,-5).

Someone please help having a lot of trouble with this question :....( thanks.

Answers

Answer:

40

Step-by-step explanation:

-3   2

               -15  -   2         =      -17

1     5

                 -1    -  25      =     -26

5   -1

                -25    -   (-1)   =     - 24

1   -5

                 2      -   15    =     -13

-3   2

area = |-17 - 26 - 24 - 13|/2 = |-80|/2 = 80/2 = 40

Answer: 40

The first rule is add 10, then divide by 2 starting from 2. The second rule is multiply by 3, then subtract 2 starting from 2. What are the first four ordered pairs using the two sequences?
Question 7 options:

(2, 0), (6, 4), (8, 12), (9, 32)

(2, 2), (6, 4), (8, 10), (9, 28)

(6, 4), (8, 10), (9, 28)

(2, 2), (10, 8), (16, 20), (18, 56)

Answers

Answer:

B. (2, 2), (6, 4), (8, 10), (9, 28)

Step-by-step explanation:

I hope this helped! :D

Michelle and Jay both earn money by melting scrap iron. The amount of iron melted by Michelle, y cubic feet, after x hours is given by the equation y = 17/3x . The graph shows the amount of scrap iron melted by Jay after x hours. Who is spending more time scrapping iron? The picture is down below!
Pls don't put a link or I will report you!

Answers

Answer:

Jay

Step-by-step explanation:

by the graph, after 10 hours, Jay melts 95 ft³

by the equation y = 17/3x, after 10 hours, Michelle melts 0.57 ft³

3×1/6 Please please help

Answers

1/2 is the answer have a good day

Answer:

3 can be made into 3/1. multiplying fractions is easy, divide the numerators together and the denominators together. 3x1=3 and 1x6=6. the answer is 3/6 which can be simplified into 1/2

Step-by-step explanation:

hope this helps!

Can someone please give me the answers I will mark you brilliant as soon as it pops up

Answers

I believe 80 sorry if wrong

Answer:

1.) [tex]=50x+30y[/tex]

2.? The first one

Step-by-step explanation:

1.)[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac[/tex],  [tex]a=10,\:b=5x,\:c=3y[/tex]

[tex]=10\cdot \:5x+10\cdot \:3y[/tex][tex]=50x+30y[/tex]

2.) The first one

If g(x) = -3(x) - 5 then g(?) = 25
10
-20
5
-10

Answers

Answer:

D) -10

Step-by-step explanation:

We will assign g(x) to be equal to 25, and then solve for x:

25 = -3x-5

30 = -3x

10 = -x

-10 = x

So D is correct

Answer:

-10 is correct option

Step-by-step explanation:

g(x)=-3(x)-5

g(-10)=-3(-10)-5

=30-5

=25

Solve for x. The polygons in each pair are similar.

Answers

Answer:

x = 9

Step-by-step explanation:

We need to find the value of x if the polygons in each pair are similar.

As they are similar, the ratio of their sides are equal.

The sides of first polygon are 6,12 and 4.8. On the other hand, the sides of second polygon are (2x-9) and 18.

So,

[tex]\dfrac{6}{2x-9}=\dfrac{12}{18}\\\\\dfrac{6}{2x-9}=\dfrac{2}{3}\\\\\dfrac{3}{2x-9}=\dfrac{1}{3}\\\\x=9[/tex]

So, the value of x  is equal to 9.

Allison designs fancy boxes to fill with chocolates. The boxes are in the shape of a right square pyramid as shown, where 8y represents the
length of one side of the base of the pyramid, and 5y represents the height of one triangular face of the pyramid.
8y
The large size box must be designed to have a volume of 1,000 cubic centimeters,
Create an equation that can be used to calculate the length of the base and height of the triangular face of the box. Enter your equation in
the first response box.

Answers

The requreid equation that can be used to calculate the length of the base and height of the triangular face of the box is:

8y ≈ 8.4 cm

5y ≈ 5.8 cm

What is volume?

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

The formula for the volume of a square pyramid is:

V = (1/3) * base area * height

In this case, the base of the pyramid is a square with a side length of 8y, so the base area is:

base area = (8y)² = 64y²

The height of each triangular face is given as 5y, so the total height of the pyramid is 2 * 5y = 10y.

Substituting these values into the formula for volume, we get:

1000 = (1/3) * 64y² * 10y

y ≈ 1.16

Therefore, the length of the base of the pyramid is:

8y ≈ 8.4

And the height of each triangular face is:

5y ≈ 5.8 cm

So the equation that can be used to calculate the length of the base and height of the triangular face of the box is:

8y ≈ 8.4 cm

5y ≈ 5.8 cm

Learn more about Volume here:
https://brainly.com/question/1578538

#SPJ2

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complete the following with present continuous tense Ben and Miranda recently sold some land they owned for $150,000. They received the land and a check equal to the amount of the then-current annual exclusion five years ago as a wedding gift from Ben's Aunt Addison. They also received a check equal to the annual exclusion on their wedding date. Aunt Addison purchased the land many years ago when the property was worth $20,000. At the date of the gift, the property was worth $100,000 and Aunt Addison paid $47,000 in gift tax. What is the long term capital gain on the sale of the property? Group of answer choicesa. $130,000.b. $50,000.c. $42,400.d. $92,400. 40 POINTS!!!! WILL GIVE YOU BRAINLIEST!!!! :) Felix drew two box-and-whisker plots to compare the same sets of data:In the form of a paragraph, use complete sentences to describe some of the differences in the prices of the two sets of books. Refer to the box and whisker plots to justify your answer. How do you predict Shakespeare will solve this problem Determine whether the interference is constructive or destructive at each location indicated.A.constructive or destructiveB. constructive or destructiveC. constructive or destructiveD. constructive or destructive The chief effect of the imagery and figures of speech in the last four sentences of the final paragraph is to establish an attitude of separation and loneliness establish an attitude of separation and loneliness A create a mood of domestic happiness and convivial society create a mood of domestic happiness and convivial society B leave an impression of an impending romantic encounter leave an impression of an impending romantic encounter C suggest a rejection of worldly things in favor of a purely spiritual realm suggest a rejection of worldly things in favor of a purely spiritual realm D affirm an atmosphere of reclusive peace and tranquility WTKI REALISTYCZNE MIESZAJ SI W ,,BALLADYNIE" Z MOTYWAMI FANTASTYCZNYMI.Wypisz wszystkie czci zdania i je nazwij.PROSZE O SZYBKA ODPOWIEDZ I need help quickly. Please help. A city mayor plans to build two newparks. Each park will cover 1.45 acres.How many acres will the new parkscover altogether? Explain.Mostreprese help please, parathyroid glands produce hormones that are essential to the proper function of which system what is the equation of the following graph in vertex form HELPP plz I need the answer with step by step don't send a file plz Which of the following measurements could be the side lengths of a right triangle?Pythagorean theorem A. 98in, 42in, 49in B. 77in, 14in, 70in C. 63in, 42in, 112in D. 56in, 14in, 70insquare root Felipe is a software salesman. His base salary is $2200, and he makes an additional $70 for every copy of English is Fun he sells. Let P represent his total pay in dollars), and let N represent the number of copies of English is Fun he sells. Write an equation relating P to N. Then use this equation to find his total pay if he sells 26 copies of English is Fun. Please Help...Why is it important for people to know about Reconstruction?A short response 3. What is a type of asexual reproduction that com-monly occurs in many species of unicellular pro-tists? (1) external fertilization (2) tissue regenera-tion (3) binary fission (4) vegetative propagation Oxygen rich blood returns from the lungs to the heart. Which 2 systems are most directly involved in this process.Respiratory and circulatory Excretory and digestiveCirculatory and excretoryDigestive and respiratory Suppose while at a store, you ask for change for five dollars. You get in return exactly twenty-four coins, all of which are nickels and quarters. How many nickels and quarters did you receive? Compete the table to find the unit rate. the table shows how much jazz earns babysitting. What is jazz unit rate per hour? If jazz earned 97.50$ how many hours did she work? Deportes (Audio Recorder Activity)In this activity, you will read out loud and record each of the following questions. Then, record your answers in Spanish using any audio recording software. Submit that audio file to your teacher.a. Qu deporte te gusta practicar?b. Por qu te gusta practicar este deporte?c. Cuntos das a la semana practicas este deporte?d. Qu beneficios fsicos tiene este deporte?