Sara has a rectangular garden in her backyard that measures 12 m by 15 m. She wants to put a rock walkway on the diagonal. How long will the walkway be? Round to the nearest tenth of a meter

Answers

Answer 1

Answer:

19.2 m

Step-by-step explanation:

Since this is a right triangle, we can use the pythagorean theorem

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

12^2 + 15^2 = c^2

144 + 225 = c^2

369 = c^2

Taking the square root of each side

sqrt(369) =sqrt(c^2)

19.20937271=c

To the nearest tenth

19.2 = c

Answer 2

Answer:

Diagonal of rectangle walk = 19.2 meter (Approx.)

Step-by-step explanation:

Given:

Length of rectangle = 12 meter

Width of rectangle = 15 meter

Find:

Diagonal of rectangle walk

Computation:

Diagonal of rectangle = √l² + b²

Diagonal of rectangle walk = √Length of rectangle² + Width of rectangle²

Diagonal of rectangle walk = √12² + 15²

Diagonal of rectangle walk = √144 + 225

Diagonal of rectangle walk = √369

Diagonal of rectangle walk = 19.2093

Diagonal of rectangle walk = 19.2 meter (Approx.)


Related Questions

Classify the following triangle. Check all that apply.

Answers

D & E

See the photo for further reference on triangle classification.

Hope this helps! Please make me the brainliest, it’s not necessary but appreciated, I put a lot of effort and research into my answers. Have a good day, stay safe and stay healthy.

Can someone help me with this math homework please!

Answers

Answer:

Last answer.

Step-by-step explanation:

What I do is divide the terms by the previous terms, and if they all equal 1.5, that is your answer.

Find the surface area and volume for each of the following:

Answers

9.5cm
9.5cm is the answer

Answer:

mark brainlist..............

SOMEONE PLEASE HELP ME!

Answers

FH = HG =GF
—— —— ——
IK JK IJ

8 =HG =3.2
—. —— ——
32 JK IJ

or, 2 3.2
—— = ——
8 IJ

or,2IJ=3.2*8

or,IJ=25.6
———-
2
.•.IJ=12.8
Hope this might help you

The equation of line a is y=-x+ 3. If line b runs perpendicular to line a and
passes through (2, 6), what would be the equation of line b?

Answers

Answer:

y = 4x -2

Step-by-step explanation:

y = 4x + b

6 = 4(2) + b

6 = 8 + b

-2 = b

Does anyone know the answer to this math question?

Answers

Answer:

sorry i don,t know but i am finding

if i get then i hep you

Step-by-step explanation:

thanks and have nice day

if x = 2 is a solution to the system shown below, then what must be value of b?

y = 7x + 4
y = 3x + b

——————————————-

(1) 5

(2) -4

(3) -17

(4) 12

thank you in advance for anyone that helps answer this :))

Answers

12 so we would multiply 2 by whatever is next to X. So 14+4=18 and 6+b=18 so we just subtract 18-6 and we get 12 :)

Answer:

(4). 12

Step-by-step explanation:

On each coordinate plane, the parent function f(x) = |x| is represented by a dashed line and a translation is represented by a solid line. Which graph represents the translation g(x) = |x + 2| as a solid line?

1) 3rd graph
2) 2nd graph
3) B (-♾,0)
4) 1st graph
5) C (-5,-6)
6) D (10,♾)
7) B) h= -1.5
8) C the range changes from {y|y>0} to {y|y>2}
9) D h must be negative and k must be positive
10) A k= -2.5

Answers

Answer:

c

Step-by-step explanation:

it just is

Please help me!! I don’t underatsnd

Answers

Answer:

23°

Step-by-step explanation:

13x + 154 = 180

13x = 26

x =2

~~~~~~~~~~~~

6(2) + 11

12+11 =23

Answer: 23 degrees
QPS being a “straight angle” means its 180 degrees so: add the two equations and set it equal to 180: 13x+154=180 and x=2
Plug x into the equation 6x+11 which equals
23 degrees

Which choice is equivalent to the quotient below square root 32/ square root 8

Answers

Answer:

there no choice but what i can do for you is [tex]\sqrt{32} =4\sqrt{2}[/tex] & [tex]\sqrt{8} =2^3[/tex]

The equivalent fraction of [tex]\frac{\sqrt{32} }{\sqrt{8} }[/tex] is 2/1.

What is the square root of any number?

The square root of any number is equal to a number, which when squared gives the original number.

What is an equivalent expression?

Equivalent fractions are the fractions that have different numerators and denominators but are equal to the same value.

According to the given question.

We have a fraction [tex]\frac{\sqrt{32} }{\sqrt{8} }[/tex]

Therefore, the equivalent fraction for [tex]\frac{\sqrt{32} }{\sqrt{8} }[/tex] is given by

[tex]\frac{\sqrt{32} }{\sqrt{8} } =\frac{\sqrt{4} \sqrt{8} }{\sqrt{8} }[/tex]

⇒[tex]\frac{\sqrt{32} }{\sqrt{8} } =\sqrt{4} =\frac{2}{1}[/tex]

Hence, the equivalent fraction of [tex]\frac{\sqrt{32} }{\sqrt{8} }[/tex] is 2/1.

Learn more about equivalent fraction here:

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Amanda has six more than four times the number of crayons that Clyde has. (write the equation)​

Answers

Answer:

y = 4x + 6

Step-by-step explanation:

Clyde has x crayons.

Amanda has y crayons.

The equation:

y = 4x + 6

Find the diagonal of a rectangular frame which measures 77 in. by 36 in.

Answers

Answer:

85

Step-by-step explanation:

think about the diagonal of the frame, breaking up a rectangle into 2 right angled triangles. we are already given the legs of the triangle (77, and 36) and now we have to solve fro the hypotenuse (or the diagonal). so use pythagorean theorem :

77^2 + 36^2 = c^2

7225 = c^2

c = 85

What does it mean in geometry when they are putting segments over each other to show proportionality? In some video about triangle proportionality theorem, he says "BA to the length of MA " then draws BA over MA like a fraction. What does he mean "to the length of"

Answers

Answer:

Read below.

Step-by-step explanation:

The expression "BA to the length of MA" is probably part of the expression "the length of BA to the length of MA" and is a ratio.

A proportion is setting two ratios equal.

If two triangles are similar, then the lengths of corresponding sides are proportional. That means that the ratios of the lengths of corresponding sides are equal.

For example, let's say you are given triangles ABC and XYZ, and you are told that triangle ABC is similar to triangle XYZ.

By the order of the letters in ABC and XYZ, you can conclude that

side AB corresponds to side XY

side AC corresponds to side XZ

side BC corresponds to side YZ

Since the lengths of corresponding sides are in the same ratio, so you can further conclude that

the length of AB is to the length of XY as

the length of AC is to the length of XZ as

the length of BC is to the length of YZ

Mathematically, you can write the previous three lines as the proportion

AB/XY = AC/XZ = BC/YZ


The length and width of a rectangle are in a 3 : 5 ratio. The perimeter of the
rectangle is 64. What are the length and width of the rectangle?

Answers

Answer:

Step-by-step explanation:

Rectangle:

Length : Width = 3 : 5

Length = 3x

Width = 5x

Perimeter = 64

2*(length + width) = 64

2*(3x + 5x) = 64           {Add like terms}

2 * 8x = 64                                

  16x = 64        {Divide both sides by 16}

      x = 64/16

      x = 4

Length = 3*4 = 12 units

Width = 5*4 = 20 units

Answer:

Step-by-step explanation:

solution;

here

let us suppose the ratios of length and width of rectangle be 3x and 5x

if the perimeter of rectangle is 64

we know that,

perimeter of rectangle=2 (l + w)

or,    64=2(3x +5x)

or,     64=2(8x)

or,     64=16x

or,      x=4

therefore length=3x

                      3*4=12

                 width=5x

                     5*4=20


I know you have to use the half life formula but I don’t know how to use it could someone show how to find the solution step by step? Thank you

Answers

Answer:

[tex]A = Pe ^{-0.03108 * t}[/tex]

Step-by-step explanation:

Note: these are typically two part questions...

you have the model and have to FIRST find a constant value "k"

once you have the "k" value you plug that into the model to finish the problem

[tex]A = Pe ^{-kt}[/tex] is a typical version of the continuous decay...

e is "e 2.717" not a variable "e"

so... step 1.. fink k

you are told that the 1/2 life is 22.3 years...

so lets assume that we started with 2 units of lead, and waited for it to decrease to 1 (1 is 1/2 of 2)

you would have

1 = 2[tex]e^{k * 22.3}[/tex]

.5 = [tex]e^{k * 22.3}[/tex]

ln(.5) = 22.3k ln(e)

ln(e) = 1

ln(.5) = 22.3k

ln(.5) = 22.3k ln(e)

[tex]\frac{ln(.5) }{22.3} = k[/tex]

[tex]\frac{\ln \left(0.5\right)}{22.3}=-0.03108[/tex] = k

Giải hệ pt :{ 2x-3y=1
{x+2y=4

Answers

x+2y=4 ] × (-2) —> -2x-4y=-8

2x-3y=1

-2x-4y=-8

_________o_o___

–7y=–7 —> y =1

2x-3y=1 —> 2x -3(1)=1 —> 2x-3=1 —> 2x=1+3 —> 2x=4

x=4/2 —> x=2

(x,y) > ( 2,1)

I hope I helped you ^_^

Graph: f(x) = 3/2 (2)x
Step 1: Calculate the initial value of the function.
f(0)=

Answers

Answer:

Step 1: 1.5

Step 2: Plot the points (0, 1.5)

Step 3: 3, then 0.75

Step 4: Plot the points (1, 3) and (-1, 0.75)

Step 5: y=0

Step-by-step explanation:

Ur welcome and have a nice day :>

The initial value of the function f(x) = 3/2 (2)^x is 3/2

How to calculate the initial value of the function?

The function expression is given s:

f(x) = 3/2 (2)^x

Substitute 0 for x

f(0) = 3/2 (2)^0

Evaluate the exponent

f(0) = 3/2 * 1

Evaluate the product

f(0) = 3/2

Hence, the initial value of the function is 3/2

Read more about exponential functions at:

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You are playing the Integer Game. The goal of the game is for the sum of the cards in your hand to be as close to zero as possible. Here are the cards in your hand,
4
-8
-3
2
What is the current value of your hand?

Answers

-5 because the negatives equal to -11 then the positives equal to 6 and -11+6 is -5.

How many positive integers less than 100 are divisible by 7 but not divisible by 2, 3, 4, or 5?

Answers

Answer:  4 positive integers

Step-by-step explanation:

Positive integers less than 100 that are divisible by 7:

7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98.

Let's write out numbers that are not divisible by 2 or 4:

7, 21, 35, 49, 63, 77, 91.

Now let's write out numbers that are not divisible by 3:

7, 35, 49, 77, 91.

Finally, let's write out the numbers that are not divisible by 5:

7, 49, 77, 91.

Thus, there are only 4 positive integers less than 100 that are divisible by 7, but not divisible by 2, 3, 4, or 5.

A state park charges an entrance fee based on the number of people in a vehicle. A car containing 2 people is charged $14, a car containing 4 people is charged $20, and a van containing 8 people is charged $32.

Answers

Answer:

Bus charges for 30 people = $98

Step-by-step explanation:

Given:

Car A charges for 2 people = $14

Car B charges for 4 people = $20

Van charges for 8 people = $32

Find:

Bus charges for 30 people

Computation:

Assume;

Fix charge = b

Variable charges = a

So,

2a + b = 14.................................. Eq 1

4a + b = 20 ..............................Eq2

From Eq 1 and 2

a = 3

Variable charges = $3

Fix charge = 8

So,

Bus charges for 30 people = 30a + b

Bus charges for 30 people = 30(3) + 8

Bus charges for 30 people = $98

Sphere A has a radius of 24 centimeters, and sphere Bhas a diameter of 42 centimeters. The radius of sphere A is
muided by what factor to produce the radius of sphere B2

Answers

Answer:

A's radius is half so multiply it by 2 to get the diameter which is the same as B's.

Step-by-step explanation:

If eleven plus two equal one what does nine plus five equal?

Answers

Answer:

huh???

Step-by-step explanation:

how does that make sence

need help, please need help

Answers

Answer:

Step-by-step explanation:

thats your problem learn how to pay attention lol

Which rule is a recursive rule for the sequence 1,-6,36, -216

Answers

Answer:

3rd option

Step-by-step explanation:

There is a common ratio between consecutive terms , that is

r = - 6 ÷ 1 = 36 ÷ - 6 = - 216 ÷ 36 = - 6

To obtain a term in the sequence multiply the previous term by - 6

Then the recursive rule is

[tex]a_{n}[/tex] = - 6 . [tex]a_{n-1}[/tex]

Answer: 1*6°=6

1*(-6)^1=-6

1*(-6)^2=36

1*(-6)^3=-216

Tiana uses the equation c = 21h to figure out the total amount, c, she should
charge a customer for babysitting for h hours.
a. What is the constant of proportionality? What does it mean?
b. Tiana charges $94.50 for a job. How long did she babysit for?
Show your work.

Answers

Answer:

a. The constant of proportionality is, 21

b. Tiana charges $94.50 for a job, so, c=94.50

from the given equation,

c = 21h

or, 94.50 = 21h

or, h = 94.50/21

or, h = 4.5

She babysit for 4.5 hours.

Answered by GAUTHMATH

The constant of proportionality is 21 and it means the constant value that connects two variables together. If Tiana charges $94.50 for a job, she spent 4.5hours babysitting.

The equation used by Tiana c = 21h to figure out the total amount (c) she should charge a customer for babysitting for h hours.

The constant of proportionality, denoted by K, in a linear relationship shows how two variables relate to one another. In this case, the total amount (c) is directly proportional to time (h).

The constant of proportionality, which is 21, connects the variables 'c' and 'h'.

If Tiana charges $94.50 for a job, we can calculate the time spent on doing the job by using:

c = 21h

94.50 = 21h

h = 94.50 ÷ 21

h = 4.5hours.

Therefore, Tiana spent 4½ hours babysitting.

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Find the perimeter of the figure. Use 3.14 for pi. (The figure is not to scale, round to at least 1 decimal place).

Answers

Answer: 38.185 ft
Hypotenuse side of triangle: 8.25
Length of two sides of rectangle: 18
Circumference of half circle= 2(pi)(r) = 2(3.14)(4)= 25.13
25.13/2= 12.565
8.25+18+12.565=38.185 ft

Help,anyone can help me do quetion,I will mark brainlest.​

Answers

Answer:

Step-by-step explanation:

7)  4*5 - 2*3 = answer

20-6 = 14

8)  5*4 - 2*(2*2) = answer

20 -8 = 12

how many halves are in 2 whole objects​

Answers

4 halves if u have one object and you cut it in half you will get two then you do the same to another object so you’ll get 4 :) sorry if I’m wrong

Need help !!!What is the first step to solve the following system of equations using substitution?

Answers

Answer:

It is the second one: Solve the first equation for x.

Step-by-step explanation:

Afreen says, "I am thinking of 3 consecutive numbers. The first is a multiple of 4, the second is a multiple of 5 and the third is a multiple of 6." What could the numbers be? Can you find 3 possible sets of numbers?

Answers

Answer:

The 3 ses that we found are:

{4, 5, 6}

{64, 65, 66}

{124, 125, 126}

Step-by-step explanation:

3 consecutive numbers are written as:

n, (n + 1), (n + 2)

We know that the first one is a multiple of 4.

Then n is a multiple of 4:

n = k*4

where k is an integer.

The second one is a multiple of 5, then:

(n + 1) = j*5

where j is an integer.

The last one is a multiple of 6.

(n + 2) = p*6

where p is an integer.

We want to find 3 sets.

The first one is trivial:

n = 4

n + 1 = 5

n + 2 = 6

4 is a multiple of 4

5 is a multiple of 5

6 is a multiple of 6.

Now let's find a set that is not trivial.

First, remember that all the multiples of 5 end with a 0 or a 5,

Then we can look for a value n, that is multiple of 4, and that has a last units digit equal to 4 (then the next one will have a units digit and will be multiple of 5)

For example, 4*6 = 24

24 is a multiple of 4.

The next number is 24 + 1 = 25, which is multiple of 5.

The next number is 25 + 1 = 26, which is not multiple of 6.

So let's try again.

4*11 = 44, is a multiple of 4.

The next number is 44 + 1 = 45

45 is a multiple of 5.

The next number is 45 + 1 = 46, which is not multiple of 6

So we need to try with another set.

4*16 = 64, is a multiple of 4.

The next number is 64 + 1 = 65, which is multiple of 5.

The next number is 66, which is multiple of 6:

6*11 = 66

Then the set:

n = 64

n + 1 = 65

n + 2 = 66

Is a possible set.

Now we can keep trying this, we can see that the next set  has the numbers:

n = 4*31  = 124 is a multiple of 4.

The next number, is 124 + 1 = 125, which is a multiple of 5.

The next number is 125 + 1 = 126, which is multiple of 6

6*21 = 126

Then the set:

n = 124

n + 1 = 125

n + 2 = 126

Is another possible set.

The 3 ses that we found are:

{4, 5, 6}

{64, 65, 66}

{124, 125, 126}

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