A community is building a square park with sides that measure 110 meters. To separate the picnic area from the play area, the park is split by a diagonal line from the opposite corners Determine the approximate length of the diagonal line that splits the square.

Answers

Answer 1

Answer:

155.56 m

Step-by-step explanation:

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

√110² + 110²


Related Questions

What’s the answer for this


155/18 x 2

Answers

Step-by-step explanation:

[tex] \tt{} \frac{155}{18} \times 2[/tex]

[tex]\tt{} \frac{155}{9} [/tex]

[tex]\tt{}17 \frac{2}{9} \\ \\ \\ [/tex]

How do I this math problem? If tan8 theta = cot 7 theta then theta =?

Answers

Given:

[tex]\tan 8\theta =\cot 7\theta[/tex]

To find:

The value of [tex]\theta[/tex].

Solution:

We have,

[tex]\tan 8\theta =\cot 7\theta[/tex]

We know that, [tex]\cot \theta =\tan (90^\circ -\theta)[/tex].

Using the trigonometric property, we get

[tex]\tan 8\theta =\tan (90^\circ -7\theta)[/tex]

On comparing both sides, we get

[tex]8\theta =90^\circ -7\theta[/tex]

[tex]8\theta +7\theta=90^\circ [/tex]

[tex]15\theta=90^\circ [/tex]

Divide both sides by 15.

[tex]\theta=\dfrac{90^\circ}{15}[/tex]

[tex]\theta=6^\circ[/tex]

Therefore, the value of [tex]\theta[/tex] is 6 degrees.

Which of the following is the area of a triangle pictured below

Answers

Answer:

(2) 22.44 cm^2

Step-by-step explanation:

A = bh/2

A = (8.8 cm)(5.1 cm)/2

A = 22.44 cm^2

Answer:

22.44 cm^2

Step-by-step explanation:

8.8 - 7.6 = 1.2

1.2 · 5.1 = 6.12 / 2 = 3.06

7.6 · 5.1 = 38.76 / 2 = 19.38

19.38 + 3.06 = 22.44 cm^2

if you get 7,676 of something per 0.5 milliseconds how much would you have of that something in 8 hours​

Answers

Answer:

The answer will be 441907200 not sure

Step-by-step explanation:

HELP WITH 9 AND 10! I really don’t understand how to find these!

Answers

Answer:

50 and C

Step-by-step explanation:

Remark.

The geometric mean is the middle number between two numbers that are 2 places apart. It's easier just to make up an example to show what the mean is

4 8 16

8 is the geometric mean of 4 and 16. The first term (4) is multiplied by 2. The third term is derived from 8 (the mean) multiplied by 2

So to solve this problem you need to find what a is multiplied to get get the mean, and multiplied again by the same thing you did before to go from the mean to the third term.

Solution

12 / mean = mean / a      Cross multiply

mean^2 = 12*a

But the mean is given as 10sqrt(6)

12a = 100 * 6

12a = 600

a = 50

20 / mean = mean /a

mean^2 = 20 a

mean = 10 sqrt (10)

100 * 10 = 20*a

a = 1000 / 20

a = 50

Answer this wuestion for me man

Answers

Answer:

The length of ribbon is [tex]\sqrt{32}[/tex].

Step-by-step explanation:

Length of the side of square = 4 inches

let the length of the diagonal is x.

By use of Pythagorean theorem

[tex]x^2 = 4^2 + 4^2 \\\\x =\sqrt {16 + 16}=\sqrt{32}[/tex]

Find the average rate of change (-4,-7)(-2,3)

Answers

The average rate of change is m=5.
Hope this helped.

PLEASE ANSWER I NEED HELP SEE THE ATTACHMENT

Answers

Answer:

[tex]p=\frac{50}{360} 2\pi [8cm+(8-9)cm]+2(4.5cm)[/tex][tex]=19.0~cm[/tex]

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

hope it helps...

have a great day!!

Answer is 19cm I think

Match each expression it to an equivalent expression

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]\frac{4^2}{2^2} = 4\\\\(8-4)*4=4^2\\\\2^2 + 2^2 = 8[/tex]

»»————- ★ ————-««  

Here’s why:  

[tex]\boxed{\text{Simplifying each expression:}}\\\\\frac{4^2}{2^2}\\---------\\\\\\rightarrow \frac{16}{4}\\\\\rightarrow \boxed{4}\\\\ \boxed{\frac{4^2}{2^2}=4}[/tex]

⸻⸻⸻⸻

[tex](8-4) * 4\\-----------\\\rightarrow (4)*4\\\\\rightarrow \boxed{16}\\\\\text{We can also tell...}\\\\4^2 = 4 * 4 = \boxed{16}\\\\\text{So...}\\\\\boxed{(8-4)*4 = 4^2}[/tex]

⸻⸻⸻⸻

[tex]2^2 + 2^2\\--------------\\\rightarrow 4 + 2^2\\\\\rightarrow 4 + 4\\\\\rightarrow \boxed{8}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Please use the following image for the next 7 questions. Keep in mind that because XY is tangent to circle M, XM and XM form a right angle.
XM = 11 and YM = 36.

What is the area of circle M?
What is the circumference of circle M?
Find the length of XY .
Find the measure of angle M.
Find the area of triangle XYM.
Find the area of the minor sector that has been created as part of triangle XYM.
Find the arc length of the minor arc from point X to the point where YM intersects with the circle.

Answers

Step-by-step explanation:

• the area of circle M = 3.14×11² = 379.94

• the circumference of circle M =

2×3.14×11 = 69.08

• XY =√36²-11²=√1296-121=√1175=34.28

L M = cos~¹ 11/36 = cos~¹0.3055 = 72.21°

the area of triangle XY = ½×11×34.28

= 188.54

• the area of minor sector

= 72.21/360 × 379.94 = 76.20

• the minor arc from point X to

the point where YM intersects

withthe circle

= 72.21/360 × 69.08 = 13.86

If you are given a parallelogram with the top right and left corners each measuring 72* and the bottom right corner measuring 108*. What is the measurement of the missing corner, the bottom left corner of the parallelogram?

Answers

Answer: [tex]108^{\circ}[/tex]

Step-by-step explanation:

Given

The top left and right corners measures [tex]72^{\circ}[/tex] and the bottom right corner measures [tex]108^{\circ}[/tex].

Suppose the missing corner measures [tex]x[/tex]

So, the sum of the four angles of parallelogram is [tex]360^{\circ}[/tex]

[tex]\therefore x+72^{\circ}+108^{\circ}+72^{\circ}=360^{\circ}\\\Rightarrow x=360^{\circ}-252^{\circ}\\\Rightarrow x=108^{\circ}[/tex]

Therefore, the missing angle is [tex]108^{\circ}[/tex].

Bruce and Krista are going to buy a new furniture set for their living room. They want to buy a couch, a coffee table, and a recliner. They have narrowed it down so that they are choosing between 4 couches, 5 coffee tables, and 9 recliners. How many different combinations are possible?

Answers

Answer:

180

Step-by-step explanation:

to work out all possibilities you multiple the amount of options.

4x5x9=180

PLease help me :( You will get 20 pionts! And i will mark Brainliest!
picture is also included
Question:
Which term describes how the two sides of this figure are related ?

A. Induction
B. Symmetry
C. Scientific method
D. Deduction

Answers

Answer:

B. Symmetry

Step-by-step explanation:

They are symmetrical, meaning they are mirrored or both look the same.

Hope this helps! :)

Simplify the expression:
5(4x - 2)
i need help

Answers

Step-by-step explanation:

5(4× - 2)

5x4=20

5×2=10

Answer = 20x - 10

Answer:

20x-10

Step-by-step explanation:

Simply multiply.

5 × 4X = 20X

5× -2 = -10

Combine both

20X - 10

Find the mode of the data.
Length (inches) of fish in tank:
2, 3, 1, 4, 5, 2, 2
Mode: [?] in.

Answers

Answer:

The mode is 2

Step-by-step explanation:

Mathematically, the mode of a given data set represents the most recurring number or the number with the most count

Looking at the given dataset, we can see that the number 2 recurred 3 times

Compared with the other numbers, it has the most count

this means it is the mode of the given or displayed dataset

What’s the answer????????????

Answers

Answer:33

Step-by-step explanation:

trust

A parabola is defined by the equation x2 = 3/4 y. In which direction will the parabola open?

Answers

I’m pretty sure it’s positive so a upward one that looks like :u

David takes out a 20year 70,000 loan from his bank 2010. The quadratic equation that approximates the year/loan balance relationship is y = - 98x ^ 2 - 1, 531x + 69, 71 , where x is the number of years and y is the balance In what year, will his loan balance be $37,2347

Answers

Answer:

2022

Step-by-step explanation:

The duration of the loan David takes = 20 year loan

The amount David takes as loan = 70,000

The year David takes the loan = 2010

The year/loan balance relationship is y = -98·x² - 1,531·x + 69,710 (We note that the proper constant for the loan balance should be approximately 70,000, therefore the added zero)

Where;

x = The number of yeas

y = The balance

The year his loan balance will be $37,234.7, is given as follows;

37,234.7 = -98·x² - 1,531·x + 69,710

-98·x² - 1,531·x + 69,710 - 37,234.7 = 0

-98·x² - 1,531·x + 32,475.3 = 0

Factorizing with a graphic calculator, gives;

-98·(x - 11.998)·(x + 27.62) = 0

∴ x = 11.998 ≈ 12 or -27.62

The number of years it takes for the loan balance to be $37,234.7 = 12 years

Given that he took the loan in 2010, the loan balance will be $37,234.7 in 2010 + 12 = 2022

in the diagram below P(x:y)is a point in the third quadrant. ROP=B and 17 cos B is equal to -15 calculate the values of x and y and r ​

Answers

you showed no diagram or any picture / screenshot

Find an equation for the perpendicular bisector of the line segment whose endpoints are (-1, -7) and (9, 1).

Answers

Answer:

y = -5/4 x + 2

Step-by-step explanation:

the slope of line segment : (1+7) /(9+1) = 8/10

= 4/5

the mid point of line segment :

x = (-1+9)/2= 4

y= (-7+1)/2 = -3

the coordinate : (4, -3)

the slope of line perpendicular to line segment

= -1 ÷ 4/5 = -5/4

so the equation :

y+3= -5/4 (x-4)

y+3= -5/4 x +5

y = -5/4 x + 2

What is -1.2 repeating as a mixed number​

Answers

Answer:

[tex]-1\frac{2}{9}[/tex]

Step-by-step explanation:

         _

y = - 1.2

                 _

y × 10 = - 1.2 × 10

                _

10y = - 12. 2

                _

10y = - 12. 2

-         _

y = - 1.2

____________

9x = 11

9x ÷ 9 = 11 ÷ 9

[tex]x = -1\frac{2}{9}[/tex]

   _

- 1.2 = - 1 2/9

HURRRRRYYYYY!!! This Stem-and-Leaf Plot shows the number of students in each of the cooking classes held at the local recreation center last week. What are the values of the following statistics? NO LINKKKKKKKKKKKSSSSS!!!! WILL GIVE BRAINLIEST!


Range =

Median =

Mode =

Answers

Answer:

4 im correct I don't care i used my brain and guessed

Step-by-step explanation:

Answer:

the  range is 16 mode is 5 and median is 11

Step-by-step explanation:

u can cheat if u exit out of  the assignment and then keep trying

Write the equation of the line in slope-intercept form

Answers

Answer:

y = 4/1 + 0

Step-by-step explanation:

we rise 4 units up and move 1 unit to the right

and the y intercept is 0 because its exactly in the center of x and y axis

PLEASE GIVE ME THE PERCENTAGES FOR THIS CHART!

BRAINLIEST REWARD!!

Answers

Answer:

Sleeping - 30.2%

School - 17.6%

Homework - 0%

EC - 6.73%

Computer - 13.45%

Phone - 0%

Television - 1.68%

Excercise - 6.73%

Family time - 20.18%

Other - 3.36%

Step-by-step explanation:

hope this helps :)

If the sum of the measures of 21 and 22 is 180°, what is the sum of the measures of 23 and 24?

Answers

Answer:

180

Step-by-step explanation:

it is a quadrilateral that has 360 degrees in total. So if 1 and 2=180 then 3 and 4=360-180=180. Hope this is right.....

examine the matrices below and use to answer questiom 12 and 13

x={3 -5} y= {6 7}
{-4 2} {-4 -3}



number 2 question
calculate x and y

A {9 12}
{0 1}

B {9 -12}
{0 -5}

c {9 -2}
{-8 -1}

D {9 2}
{-8 -1}

Answers

Answer:

d

Step-by-step explanation:

From 1980 to 1990 the consumer price index increased from 82.4 to 130.7 if a bottle of dish soap cost 0.74 in 1980 and the price of dish soap increased at the same rate as the cpi from 1980 to 1990 by approximately how much did the price of the bottle of dish soap increase from 1980 to 1990

Answers

Answer:

$0.43

Step-by-step explanation:

Rate of increase = [(CPI in 1990 / CPI in 1980)^1/t] - 1

(130.7 / 82.4)^1/10

1.586165^0.1 = 1.047213 - 1  = 4.72%

Price of dish soap in 1990 = value in 1980 ( 1 + rate of increase)^10

0.74( 1.047213)^10 = 1.174

Price increase 1.174 - 0.74 = 0.43

if a:b=1:3 and b:c=5:8 what's a:c

need steps pls​

Answers

Answer:

a:c=1:8

Step-by-step explanation:

a:b=1:3

therefore a=1 and b=3

b:c=5:8

therefore b=5 and c=8

then,

a:c=1:8

Answer:

a : c = 5 : 24

Step-by-step explanation:

[tex]a : b = 1 : 3\\\\\frac{a}{b} = \frac{1}{3} \ => b = 3a\\\\b : c = 5 : 8 \\\\ \frac{b}{c} = \frac{5}{8} \ => \ \frac{3a}{c} = \frac{5}{8}[/tex]                  [tex][substituting \ b = 3a ][/tex]

                 [tex]\frac{a}{c} = \frac{5}{24}[/tex]

    [tex]=> a : c = 5 : 24[/tex]

Lisa invested $2500 in a bank account. The account has an annual interest rate of 3.5%. How much money will be in the account after 15 years? Use the formula A(t) = P*e^rt to solve the problem. (round to the nearest hundredth)​

Answers

Answer:

A = $ 4188.38

Step-by-step explanation:

A= $2500

r = 3.5% = 0.035

t = 15years

n = 1

     [tex]A = P(1 + r)^t[/tex]

        [tex]= 2500 ( 1 + 0.035)^{15}\\\\= 2500 (1.67535)\\\\= \$ 4188.38[/tex]


A glass is 1/3 full then 40cm3 of orange juice is poured in the glass is now 5/7 full what is the total volume of the glass

Answers

Answer:

1/3 x + 40 = 5/7 x

7x +(21)(40) = 15x

21*40 = 8x

x = 105cm3

Step-by-step explanation:

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