The area of a square garden is 209 m squared. How long is the diagonal?

Answers

Answer 1

Answer:

[tex]\sqrt{418}[/tex]

Step-by-step explanation:

The length of a diagonal of a square is [tex]\sqrt{2}a[/tex], where a is the length of one side.

If the area of a square garden is 209m, we know that the side length must be [tex]\sqrt{209}[/tex]m, since the area of a square is it’s side length squared.

Now we can substitute inside the formula.

[tex]\sqrt{2}\cdot\sqrt{209}[/tex]

When multiplying roots, the multiplication problem can simplify down to whatever is in the roots multilpied by each other.

So, [tex]209\cdot 2 = 418[/tex]

So the length of the diagonal is [tex]\sqrt{418}[/tex] m.

Hope this helped!


Related Questions

If an angle is an acute angle, then it measures to 87° write this in a converse sentence

Answers

Answer

87 measures an acute angle

Step-by-step explanation:

Playing golf, Mike got a +5 on the first hole and -5 on the second hole. What is his combined score for the first two holes?​

Answers

His combined score is 0 because the positive 5 and negative 5 cancel each other out. Hope that helps!

Which of these values for the number of yards in a mile is most accurate,
when compared to the exact value?
A. 1,700
B. 2,000
C. 1,755
D. 1,800

Answers

Answer:

1755

Step-by-step explanation:

there are 5280 feet in a mile, and there are 3 feet in a yard. if you divide 5280÷3 that will show you how many yards are in a mile. That will give 1760. Then you choose the number that is closest to that.

help pls ? find the PF

Answers

the answer would be 87 hope this helps

Answer:

Answer is 87..Pakka 87..

Believe me..

Tq..

Which fraction is equivalent to 3/-5

Answers

Hope this helps 6/-10

Violet was given a box of assorted chocolates for her birthday. Each night, Violet treated herself to some chocolates. Violet ate 4 chocolates each night and there were originally 24 chocolates in the box. Write an equation for C,C, in terms of t,t, representing the number of chocolates remaining in the box tt days after Violet's birthday.

Answers

Answer:

C = 24 - 4t

Step-by-step explanation:

Total chocolate = 24 chocolate

Quantity eaten each night = 4

Let

C = number of chocolate remaining

t = number of days after violet birthday

Number of chocolate remaining = original number of chocolate - 4(number of days after violet birthday)

C = 24 - 4t

For instance, if t = 2

That is, 2 days after violet birthday

C = 24 - 4t

= 24 - 4(2)

= 24 - 8

= 16

Answer: C = 24 - 4t

Step-by-step explanation:

| v+8|-5=2
helpp
pleaseee

Answers

Answer:

V=-1

Step-by-step explanation:

The scale factor of a doll house from the actual house is 35:1. If one of the windows of the doll house has a width of inch, what is the measure of the width of the window on the actual house?

a.
14 in.

b.
9 in.

c.
8 in.

d.
12 in.

Answers

D maybe I’m not to sure

Peaches are being sold for $2 per pound. If x represents the number of pounds of peaches bought and y represents the total cost of the peaches, which best describes the values of x and y?

The values of both x and y can be any real number.
The values of both x and y will be real numbers greater than or equal to 0.
The value of x and y will always be zero
The value of x can be any real number greater than or equal to 0, but the value of y must be an integer greater than or equal to 0.

Answers

Answer:

the answer is #4 -The value of x can be any real number greater than or equal to 0, but the value of y must be an integer greater than or equal to 0.

Step-by-step explanation:

Question 3. The smallest digit by
which *' should be replaced in
710*95, so that the number formed is
divisible by 3 is:​

Answers

Answer:

2

Step-by-step explanation:

Given:

710*95

Find the smallest digit by

which * should be replaced, so that the number formed is

divisible by 3

The first step is to add the numbers

7 + 1 + 0 + * + 9 + 5 = 22 + *

Next step is to find the multiples of 3

3 = 6, 9, 12, 15, 18, 21, 24, 27, 30

Step 3:

Since the addition of the digits = 22 + *

Then find a number to add to 22 which gives the next multiples of 3 after 22(that is 24)

24 = 22 + *

* = 24 - 22

= 2

* = 2

Substituting * = 2 into 710*95

We have,

710295

Therefore, the smallest digit by

which * should be replaced, so that the number formed is

divisible by 3 is 2

Check:

710,295 / 3

= 236,765

Write the expression (-7) · (–7)5. 5. 5. 5 using exponents.


please help!!

Answers

Answer:

you just count how many numbers there are like -7 there is 2 so it would be -7^2 there is 4 5s so it would be 5^4

Step-by-step explanation:

Answer:

[tex]-7^2 + 5^4[/tex]

Step-by-step explanation:

Essentially, you are seeing how much of each of the same term there is. Add the amount together, and it will be the exponent.

[tex](-7) * (-7) = -7^(1 + 1) = -7^2\\5 * 5 * 5 * 5 = 5^(1 + 1 + 1 + 1) = 5^4[/tex]

Combine the two terms together into an expression. Note that you cannot combine them.

[tex]-7^2 + 5^4[/tex] is your answer.

~

36. MAKING AN ARGUMENT Your friend claims that a rectangle with the same perimeter as QRS will have the same area as the triangle. Is your friend correct? Explain your reasoning.​

Answers

Answer: no; A 1 X 5 rectangle has a perimeter of 12 units and does not have an area of 6 units, so a counterexample shows that your friends statement is not correct

Why does the solution for an absolute value equation or inequality typically result in a pair of equations or inequalities?

Answers

And represents the distance between a and 0 on a number line. Has two solutions x = a and x = -a because both numbers are at the distance a from 0. This holds true for all absolute value inequalities. ... Because by definition, the absolute value of a number is its distance from 0 on a number line which means that there are two such numbers: a positive/negative number

Why the solution for an absolute value equation or inequality typically result in a pair of equations or inequalities?

Because the absolute value equations behave differently in the different ranges.

For a given absolute value equation (or inequality)

| x - a| = b

We get two equations or inequalities:

x - a = b

x - a = - b

And this is why the solution leads to two equations, this originates in the fact that the parent absolute value function:

f(x) = |x|

Behaves differently if x is positive or negative.

f(x) = x if x > 0f(x) = -x if x < 0

If you want to learn more, you can read:

https://brainly.com/question/17654897

Function h is a transformation of the parent exponential function, f(x) =2^x

h(x) = -3•2^x

which statement is true?
A. function h is a reflection and a translation of function f
B. function h is a horizontal translation of function f
C. function h is a reflection and a dilation of function f
D. function h is a vertical translation of function f

Answers

Answer:

C. function h is a reflection and a dilation of function

Step-by-step explanation:

Parent function:

f(x) =2^x

Transformed function:

h(x) = -3•2^x

Transformation applied:

f(x) → -f(x) = reflection over x-axis = vertical reflectionf(x) → 3f(x) = dilation or vertical stretch

Correct answer choice is:

C. function h is a reflection and a dilation of function f

Answer:

c

Step-by-step explanation:

Find the surface area of this rectangular prism.

Answers

Answer: 189 cm you’re welcome :)
your answer would be 111cm^3

It’s identifying and writing expressions
Please help.!

Answers

Answer:

1 -->  E

2 --> C

3 --> B

4 --> A

5 --> D

Hope this helps

Step-by-step explanation:

-3(-5x+2)+x-3=39 solve for x

Answers

Answer:

the value of x = 3

Step-by-step explanation:

-3 (-5x+2)+x-3=39

open the bracket by multiply each by -3

15x-6+x-3=39

collect the like terms

16x-9=39

16x=39+9

16x=48

divide both sides by 16

x=3

mark me as brainliest pllyyyyzzz

Using the slope formula, find the slope of the line through the given points. (4.4) and (5.2) What is the slope of the line? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A The slope of the line is Type an integer or a simplified fraction.) OB. The slope of the line is undefined​

Answers

Answer:

A.

m = -1

Step-by-step explanation:

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Simply plug in your 2 coordinates into the formula to find slope m:

m = (6 - 4)/(2 - 4)

m = 2/-2

m = -1

Thomas buys 5 sandwiches and 2 drinks at the deli. He knows he
spent $4.50 on the drinks and the total was $35.75. Write and solve an
equation to determine the price of each sandwich.

Answers

35.75-4.50=31.25

31.25÷5=6.25

the price of each sandwich is $6.25

simplify by combining like terms:
2(6x - 1)+5

Answers

Answer:

The equation you get out of that by combining like terms is (12x+3)

Step-by-step explanation:

You have to distribute the 2 to everything in the ( ) soo..

2 x 6x = 12x
2 x -1 = -2

Combine terms.

12x -2 + 5

What is the slope of the line ?

Answers

Step-by-step explanation:

The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .

Answer:

To find the slope, you will have to divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those h same 2 points .

Step-by-step explanation:

How to convert 60% to a decimal

Answers

Step-by-step explanation:

[tex]60\% = \frac{60}{100} = \frac{3}{5} [/tex]

and 3/5 is 0,6

Hope I helped :)

Answer:

0.6

Step-by-step explanation:

all you have to do is divide 60 by 100, so 60÷100=0.6

you can do this with any percentage

Solve lxl = 11

A. {11}

B.{-11,11}

C.{-11}

Answers

Answer:

The answer would be B :)

The answer will be b

mrs bell has a 256 ounce bag of potting soil. what is the greatest number of 6- ounce she can completely fill with soil

Answers

Answer:

42 Pots

Step-by-step explanation:

Because 256 divided by 6 is 42

Hope this helped

:)

What is - root 3 x root 3

Answers

Answer:

-3

Step-by-step explanation:

- square root 3 × square root 3 = -3


Maria works at a kennel and uses 30-pound bags of dog food to feed the
dogs. If each dog gets 2/5 pound of food, how many dogs can she feed
with one bag?

Answers

Answer:

75

Step-by-step explanation:

30÷2/5= 30/1 • 5/2 = 75

If l||m and the measure of angle 7 is twice the measure of angle 2, then the measure of angle 7 is:

Answers

Answer:

The answer is 120

Answer:

120

Step-by-step explanation:

Evaluate the expression for y=3
10y-4y=

Answers

Answer:

(10 x 3) - (4 x 3) = 30 - 12 = 18

Step-by-step explanation:

Which statements describe the solutions to the inequality x less-than negative 20? Check all that apply. There are infinite solutions. Each solution is negative. Each solution is positive. The solutions are both positive and negative. The solutions contain only integer values. The solutions contain rational number values.

Answers

Answer:

The first two options (There are infinite solutions, each solution is negative)

Step-by-step explanation:

They can't be positive and no range is specified

Answer:

a and b

Step-by-step explanation:

trust me its right

What is the effect of adding 3 to the left side of the equation y = 2 x + b ?

There is a vertical change of 3 units down.

There is a vertical change of 3 units up.

There is a horizontal change of 3 units left.

There is no change.

Answers

Answer:

There is a vertical change of 3 units down.

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