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

10. SImplify. Write using rational exponents. Be sure to show any work and simplify your answer

Answers

Answer:

Step-by-step explanation:

Hope this helps u!!

3
PLEASE HELP ME
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar
Consider the equation.
4(pr + 1) = 64
The value of xin terms of pis
The value of x when pis -5 is
Reset
Next

Answers

Answer:

ans : x in terms of p is 15/p and if p is -5 than x= -3

Step-by-step explanation:

4( px +1 ) = 64

( Px + 1 ) = 64/4

px = 16 - 1

x = 15/p

and , if p= -5 than,

x = 15 / (-5)

= - 3

What is the solution set of the equation x2 + 2x – 15 = 0?

Answers

Answer:

( x − 3 ) ( x + 5 )

Step-by-step explanation:

HAVE A NICE DAY

Answer:

B

Step-by-step explanation:

; factor the left side of the equation

; (x−3) (x+5) = 0

set factors equal to 0

x − 3 = 0

or

x + 5 = 0

; so, x = 3  or  x = −5

2) If a = 6 feet and b = 8 feet, what is the measure of c?
6 feet
8 feet
10 feet
14 feet

Answers

An attachment would help. Assuming this is the Pythagorean theorem, c would be 10 feet. (6)^2 + (8)^2 = 100 -----> √100 = 10

2 + (-25) =?
NO LINKS OR I WILL REPORT!! 10 POINTS PLEASE ANSWER!

Answers

Answer:

-23

Step-by-step explanation:

Answer:

-23

Step-by-step explanation:

When you do positive-negative you subtract the 2 numbers then take the sign of the number that had the highest absolute value.

25-2=23

The absolute value of -25 is 25

(|-25| = 25)

And the absolute value of 2 is 2

(|2| = 2)

25 > 2

So it would be -23

The graph of a function is a parabola that has a minimum at the point (-3,9). Which equation could represent the function?

Answers

Well there are no choices listed so it's going to be hard to say which; we'll write an expression for all of them and then give a few instances.

A parabola with a minimum forms a CUP, concave-up positive, meaning the coefficient a on x² must be positive, a>0.  

The general form with vertex (p,q) is

y = a(x-p)² + q

So for us, all our parabolas are of the form

y = a(x- -3)² + 9

y = a(x² + 6x + 9) + 9

y = ax² + 6ax + 9(a+1)

That's the general form for a parabola with vertex (-3,9); a>0 assure the parabola has a minimum at the vertex.

Some instances:

a=1 gives

Answer: y = x²+6x+18

a=4 gives

y = 4x² + 24x + 45

Other positive as give other possible answers; without the choices it's impossible to know which one they're seeking.

What is the converse of the conditional statement?
If x is even, then x + 1 is odd.
If x is not even, then x + 1 is not odd.
O If x + 1 is odd, then x is even.
Olf x + 1 is not odd, then x is not even.
If x is even, then x + 1 is not odd.

Answers

Its your second answer choice

Answer:

Step-by-step explanation:

it's b

What is the greatest common factor of 42, 30, and 45

Answers

Answer:

3

Step-by-step explanation:

Express the numbers as a product of their primes.

42 = 2 × 3 + 7

30 = 2 × 3 × 5

45 = 3 × 3 × 5

Identify the prime factors common to all 3 numbers.

common prime factor = 3 , thus

GCF = 3

Answer: 3

Step-by-step explanation: The factors of 30 are 1. 2. 3. 5. 6. 10, 15, 30

The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42

The factors of 45 are 1, 3, 5, 9, 15, 45

As you can see they all share the factors of 1 and 3. Since 3 is the greatest number of the factors all of them share it is the greatest common factor.

In the figure, the area of the shaded region is 224π cm^2.
What is the value of x?

Answers

Answer:

6330,24

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

x is the radius of the inner white circle

The area of the whole circle is

A = πr² = π × 18² = 324π cm²

The area of the shaded region = 224π cm²

Then the area of the white circle = 324π - 224π = 100π

Area of white circle = πx² = 100π ( divide both sides by π )

x² = 100 ( take the square root of both sides )

x = [tex]\sqrt{100}[/tex] = 10

Which of these are a trinomial

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

D) [tex]c^2+c+6[/tex]

»»————- ★ ————-««  

Here’s why:  

A trinomial is a expression that consists of three terms. A term can be a number, variable, or both numbers and variables that are multiplied together. Answer choice 'D' has three terms, c², 'c', and '6'. Therefore, it is a trinomial.

»»————- ★ ————-««  

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

If f(x) = 1 - 2x^3, find the inverse of f.

Answers

Swap x and y's positions

f(x) is another way of saying y, so basically tha initial function is y = 1-2x^3.

Change it up to x = 1-2y^3 and solve for y

X - 1 = - 2y^3

(X - 1)/-2 = y^3

So the cube root of ((x-1)/2) = y

Donna bought 5 bags of dog treats for $10.65. What is the cost per bag of dog treats?

Answers

Answer:

$10.65 divide by 5 equals $2.13

Answer:

The cost per bag of dog treats is $2.13.

Step-by-step explanation:

We have the total, so to find the cost per bag you would take the total and divide by how many bags there are.

Total = $10.65

How many bags there are : 5

$10.65 divided by 5 = 2.13

The cost per bag of dog treats is $2.13.

How will she know if 5(3x – 6) is equivalent to 15x – 30?

Answers

Answer:

By distributing the parenthesis

Step-by-step explanation:

Given

5(3x - 6) ← multiply each term in the parenthesis by 5

= 15x - 30 ← as required

Sum of two numbers is 5/22. If one of the number is 2/11, then the other number is

Answers

Answer:

1/22

Step-by-step explanation:

2/11 = 4/22 therefore 4/22 + x = 5/22 and 5/22 - 4/22 = 1/22

[tex]\huge\bold{Given :}[/tex]

Sum of two numbers = [tex] \frac{5}{22} [/tex]

One of the number = [tex] \frac{2}{11} [/tex]

[tex]\huge\bold{To\:find :}[/tex]

The other number.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]\sf\blue{The \:other \:number \:is }[/tex] [tex] \frac{1}{22} [/tex].

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

Let the other number be [tex]x[/tex].

As per the question, we have

[tex]sum \: of \: the \: two \: numbers = \frac{5}{22} \\ \\ ⇢  \frac{2}{11} + x = \frac{5}{22} \\ \\⇢ x = \frac{5}{22} - \frac{2}{11} \\ \\ ⇢ x = \frac{5}{22} - \frac{2 \times 2}{11 \times 2} \\ \\⇢ x = \frac{5 - 4}{22} \\ \\ ⇢ x = \frac{1}{22} [/tex]

[tex]\sf\purple{Therefore,\:the\:other\:number\:is}[/tex] [tex] \frac{1}{22} [/tex].

[tex]\huge\bold{To\:verify :}[/tex]

[tex] \frac{2}{11} + \frac{1}{22} = \frac{5}{22} \\ \\➪ \: \frac{2 \times 2}{11 \times 2} + \frac{1}{22} = \frac{5}{22} \\ \\ ➪ \: \frac{4 + 1}{22} = \frac{5}{22} \\ ➪ \: \frac{5}{22} = \frac{5}{22} \\ \\ ➪ \: L. H. S. = R. H. S[/tex]

Hence verified. ✔

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Which expression can be used to find 80% of 120?


80% of 120
20%
20%
20%
20%
20%

Answers

Answer:

96

Step-by-step explanation:

80*120=9600 divided by 100

An art student is mixing blue paint with yellow paint to create a special color. For every 6 gallons of blue paint, they need 4 gallons of yellow paint.

How much yellow paint will they need if they use 30 gallons of blue paint?

Answers

Answer:

The answer is 20 gallons of yellow paint

Answer:

20 gallons of yellow paint.

Step-by-step explanation:

4/6 = x/30 is the equation.

4 represents yellow paint.

6 represents blue paint.

We know 30 gallon of blue paints was used.

But we dont know x , the amount of yellow paint.

Criss cross bottom to top

6× X = 4×30

6x= 120

x=20

Mrs. Smith is creating a rectangular flower bed such that the width is half of the
length. The area of the flower bed is 34 square feet. Write and solve an equation
to determine the width of the flower bed, to the nearest tenth of a foot.

Answers

Answer:

As for this problem, we will first establish that the length of the flower bed be represented as x, the width of the flower bed be represented as x/2 ,and the area of the flower bed be taken as it is since it is given. We then follow the formula for area which is length multiplied to width which is:

A = LW

we then substitute them

34 square feet = x (x/2)

now all we need to do is find x first.

34 square feet = x squared / 2

now do a cross multiplication

68 square feet = x squared

then get the square root of both sides

8.246 feet = x

Since x is equal to the length of the flower bed, all we have to do to get the width of it is to divide it by 2. So...

W = x/2

W = 8.246 feet / 2

W = 4.123 feet

And since the problem asked it to find the width of the flower bed to the nearest tenth of a foot, the answer would be 4.1 ft.

The train left the terminal at 11:20 am and arrived at its destination at 2:40 pm how long did the train travel?

Answers

Answer:

3 hrs and 20 minutes

Step-by-step explanation:

3hours and 20 minutes

find the time in which a train of length 132 M will cross and electric post if the speed of the train be to 6.4 km /hour​

Answers

Answer:

It will take the train 1.2375 minutes to pass the tunnel

Step-by-step explanation:

Mathematically, we know that ;

time = distance/ speed

The distance here is the length of the train which is 132 m ; we can convert this to km by dividing by 1000

We have this as 132/1000 = 0.132 km

So, we have the time as;

0.132 km/6.4 km/hr = 0.020625 hr

Mathematically, we know that 60 minutes make an hour;

so we have

0.020625 * 60 = 1.2375 minutes

if x2+1/x2=27 find the value of x3+1/x3can anyone answer this, please

Answers

Step-by-step explanation:

x2+1/x2=27

x2+1=27x2

1=26x2

x2 = 1/26

x = √(1/26)

x3+1/x3 = (√(1/26))^3 + 1 / (√(1/26))^3

x3+1/x3 = 134

Please find attached photograph for your answer

Juan has 2 1/4 L of fruit purée Juan uses 3/8 leader from pier to make once movie which expression can be used to find the number of movies you can make

Answers

Answer:

See explanation

Step-by-step explanation:

Total fruit purée = 2 1/4 L

purée for One movie = 3/8 L

which expression can be used to find the number of movies you can make

Number of movies you can make = Total fruit purée ÷ purée for One movie

= 2 1/4 ÷ 3/8

= 9/4 ÷ 3/8

= 9/4 × 8/3

= (9*8) / (4*3)

= 72 ÷ 12

= 6

Number of movies you can make = 6

Find the side length for the missing side length of 12) and 13). And solve for x on 14) and 15)

Answers

Answer:

12) A

the values are each devided by three then multiplied by 4

13) C

values are 4 times as big as in the right figure

14) and 15) two thirds of the value in the left figure. the rotation is just to disorient you a lil :D just keep the 90° angle as a reference point

x is option A

and y is option C

In August 200920092009, Usain Bolt ran 100100100 meters in 9.589.589, point, 58 seconds (\text{sec})(sec)(, start text, s, e, c, end text, ), setting the world record at that time. There are approximately 1.0941.0941, point, 094 yards (\text{yd})(yd)(, start text, y, d, end text, )in a meter. What was Usain Bolt's average speed in yards per second

Answers

Answer:

Record speed of Usain Bolt in yards per second = 11.42 Yards (Approx.)

Step-by-step explanation:

Given:

Record speed of Usain Bolt = 100 meter in 9.58 second

1 meter = 1.094 yards

Find:

Record speed of Usain Bolt in yards per second

Computation:

Record speed of Usain Bolt = 100 meter in 9.58 second

1 meter = 1.094 yards

100 meter = 1.094 × 100 yards

100 meter = 109.4 yards

Record speed of Usain Bolt in yards per second = 109.4 / 9.58

Record speed of Usain Bolt in yards per second = 11.4196

Record speed of Usain Bolt in yards per second = 11.42 Yards (Approx.)

Select the equivalent expression.

Answers

the equivalent expression is C

A play is being presented on a circular stage. The two main characters are
at positions A and B at the back of the stage. What angle of view between
the main characters does an actor at position C at center stage have? *

Answers

Answer:

The angle of view between the main characters is 80°.

Step-by-step explanation:

The angle of view of the actor C between actors A and B is the measure of the angle of the central arc between A and B. Hence, the angle of view between the main characters is 80°.

Whats the y-intercept of -2x - y=3

Answers

Let’s first write this in the slope form: y=mx+b.
m is the slope and b is the y intercept.
-2x-y=3
y=-2x-3
So the b, or the y intercept is -3

which expression is equal to: 3c (1/3 d-9) -7(c-1) + d(c + 4)?
A. 2cd + 8c + 4
B. 2cd + 34c + 4d + 7
C. 2cd - 34c + 4d + 7
D. 2cd - 7c - 4

Please include steps!​

Answers

Answer:

c

Step-by-step explanation:

ABCD is a parallelogram in which cd = 7cm Ad = 5cm ND adc = 125.. Find correct to one decimal place the area of the parallelogram.

Answers

Answer:

28.7cm²

Step-by-step explanation:

The sketch of the parallelogram is attached to this response.

As shown in the sketch,

h is the height of the parallelogram

ADC is 125°

AD = 5cm

CD = 7cm

Also

Since the adjacent angles of a parallelogram are supplementary (add up to 180°), it means that;

=> ADC + BCD = 180°

=> 125° + BCD = 180°

=> BCD = 180° - 125°

=> BCD = 55°

The area (A) of a parallelogram is given by;

A = b x h            ----------(i)

Where

b = base of the parallelogram

h = height of the parallelogram

From the sketch,

b = CD = 7cm

h can be found by using the sine trigonometric function as follows

sin BCD = [tex]\frac{h}{BC}[/tex]

=> sin 55° = [tex]\frac{h}{5}[/tex]

=> h = 5 sin 55°

=> h = 5 x 0.8192

=> h = 4.096cm

Now, substitute the values of h and b into equation (i) as follows;

A = 7 x 4.096

A = 28.672

A ≅ 28.7 (to one decimal place)

Therefore, the area of the parallelogram is 28.7cm²

A party rental company has chairs and tables for rent the total cost to rent 12 chairs and 2 tables is $39. The total cost to rent 3 chairs and 5 tables is $57 what is the cost to rent each chair and each table

Answers

Answer:

Let C = cost to rent each chair

Let T = cost to rent each table

 

4C + 8T = 73

2C + 3T = 28

 

Multiply the 2nd equation by (-2) and then add the equations together  

 

4C + 8T = 73

-4C - 6T = -56

 

2T = 17

T = 17/2 = 8.5

 

Plug this in to the 1st equation to solve for C

 

4C + 8(17/2) = 73

4C + 68 = 73

4C = 5

C = 5/4 = 1.25

 

So the cost to rent each chair is $1.25 and the cost to rent each table is $8.50

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

Deliana thinks she needs to solve 5 ÷ 6. Do you agree with her? Explain why or why not.

Answers

Answer:

5 is small 6 is bigger

Step-by-step explanation:

because 6 is bigger and 5 is small than divide

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