Mathematics College

You are planning to plant a triangular garden in your backyard, as shown. You plan to put up a fence around the garden to keep out animals. Find the length of fencing you need to the nearest meter.​

You Are Planning To Plant A Triangular Garden In Your Backyard, As Shown. You Plan To Put Up A Fence

Answers

Answer 1

Answer:

24 m

Step-by-step explanation:

The lenght of fencing needed is the sum of all sides the triangular garden represented on the coordinate grid.

The lenght of the triangular garden = 16 - 10 = 6 m

Lenght of the height = 8 - 0 = 8 m

Lenght of the hypotenuse can be calculated using coordinates of the two vertices of the ∆ that forms the hypotenuse lenght and also using the distance formula.

Coordinates of the two vertices = (10, 0) and (16, 8).

[tex] distance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Let,

[tex] (10, 0) = (x_1, y_1) [/tex]

[tex] (16, 8) = (x_2, y_2) [/tex]

[tex] d = \sqrt{(16 - 10)^2 + (8 - 0)^2} [/tex]

[tex] d = \sqrt{(6)^2 + (8)^2} [/tex]

[tex] d = \sqrt{36 + 64} = \sqrt{100} [/tex]

[tex] d = 10 [/tex]

Length of fencing = 6 + 8 + 10 = 24 m

Related Questions

Select the sign of inequality that will make the following statement true.

|-5| __ 0

≥
≤
=

Answers

Answer:

≥

Step-by-step explanation:

The double bar around -5 is absolute value. It means any number will turn positive

|-5| ? 0

5 ? 0

5 ≥ 0

HELP PLEASE
I need help ASAP

Answers

Answer:

1032

Step-by-step explanation:

Describe the transformation of the graph of the parent function y = √x for the function y = √x + 7 + 5.

Answers

Answer:

First part 7 units left and 5 units up

The 2nd part is v ≥-7 and the third part is Y≥5

Step-by-step explanation:

Done it in Edge and got it right :)

The transformation of parent function [tex]y = \sqrt{x }[/tex] to [tex]y = \sqrt{x + 7} + 5[/tex] is first translated 7 units left and then it translated 5 units up.

What is function?"It defines the relation between input and output values.""In function, for each input there is exactly one output."What is transformation of function?

"It is nothing but mean transforming the function from one form to another."

For given question,

We have been given a function [tex]y=\sqrt{x}[/tex]

We need to describe the transformation of the graph for the function [tex]y = \sqrt{x + 7} + 5[/tex]

We know, if f(x) is transformed to f(x + a) then it means function f(x) is translated 'a' units left.

So, [tex]y=\sqrt{x+7}[/tex] means the function [tex]y = \sqrt{x}[/tex] is translated 7 units left.

We know, if f(x) is transformed to f(x ) + a then it means function f(x) is translated 'a' units up.

So, [tex]y = \sqrt{x + 7} + 5[/tex] means the function [tex]y = \sqrt{x + 7}[/tex] is translated 5 units up.

Therefore, the parent function [tex]y = \sqrt{x }[/tex] is first translated 7 units left and then it translated 5 units up.

Learn more about the transformation of the graph of the function here:

https://brainly.com/question/11990011

#SPJ3



1. Order each group of
numbers from least to
greatest:
9,616
9,016 9,916 9.916.1


​

Answers

numbers from least - to - greatest

9,0169,6169,9169,916.1

hope that helps !

Clear selection
2 points
3. Stephanie can run one lap around a track in 5 minutes. Lisa can run one
lap in 6 minutes. If they start running at the same time, how long will it be
until they complete a lap together?
11
30
12
6

Answers

Answer: If they start running at the same time, then it will take 30 minutes until they complete a lap together.

Step-by-step explanation:

Given:  Stephanie can run one lap around a track in 5 minutes. Lisa can run one  lap in 6 minutes.

If they start running at the same time, then the time they will take to complete a lap together = LCM (5,6)

prime factorization: 5=5   , 6 =2 x 3

So, LCM(5,6) = 5 x 2  x 3 = 30

Hence, it will take 30 minutes until they complete a lap together.

Add. (f + 3) + (2f + 8)

Answers

Answer:

3f +11

Step-by-step explanation:

[tex](f + 3) + (2f + 8)[/tex]

Open the bracket

[tex]f + 3 + 2f + 8[/tex]

Group like terms

[tex]f + 2f + 3 + 8 \\ [/tex]

Simplify

[tex]3f + 11[/tex]

Answer:

it should be 3f+11

Step-by-step explanation:

complete the missing number sequence.

1/4, 1/2,___, 1, 11/4​

Answers

Answer:If the last number is 1¼ then the answer is ¾

Step-by-step explanation:

From one fraction to the other there is a difference of ¼

¼+¼=½

½+½=¾

¾+¼=1

1+¼=1¼

To identify the difference between the fractions you should get the LCM of the denominator which is 4 then you change all the fractions and make them have the same denominator

½ ,²/4 ,_ ,⁴/4 ,⁵/4

Then work with the numerator

1 , 2, _ ,4 , 5,

The dash is to be filled with 3

So your answer is ¾

AREA OF THESE TWO POLYGONS?

Answers

Answer:

Step-by-step explanation:

What does this equal?

Answers

Answer:

87/100

Step-by-step explanation:

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there are

2

numbers to the right of the decimal point, place the decimal number over

10

2

(

100

)

. Next, add the whole number to the left of the decimal.

A square tile has a side length of 10 cm what is the area of the tile

Answers

Answer:

Area = a²

= 10²

= 100

Step-by-step explanation:

Answer:

100 cm 2

Step-by-step explanation:

Area of square = s ^ 2

                         = 10 ^ 2

                         = 100 cm square

What is the answer to x to the zero power

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{1}}}}}[/tex]

Step-by-step explanation:

The value of the term having the index 0 equals to 1.

So, [tex] \sf{ {x}^{0} }[/tex] = 1

Hope I helped!

Best regards! :D

What is the range?
8,10, 60, 3, 5, 13, 12, 40, 8

Answers

answer: the range is 57
explanation: to find the range you subtract the smallest value from the largest value in the set

Order from least to greatest 1 1/4, 1 2/3, 11/12

Help please, quick!

Answers

11/12, 1 1/4, 1 2/3 i’m pretty sure that’s correct that’s my logic

Answer:

[tex]\frac{11}{12}[/tex],[tex]1\frac{1}{4}[/tex],[tex]1\frac{2}{3}[/tex]

Step-by-step explanation:

It wants you to take these 3 fractions and arrange them from least to greatest.

The first thing I did was look for the fraction with no number in front of it.

[tex]\frac{11}{12}[/tex] is the only fraction that has no numbers in front of it. So

The second thing I did was look for the fraction that had the biggest number in front of it. I see that the remaining fractions have the same number in front.

So, I drew 2 circles. 1 of the circles I shaded in and the other I split into 4 equal halves. I shaded in one of the halves. These 2 circles represent [tex]1\frac{1}{4}[/tex].

The next thing I did was draw 2 more circles. I shaded in one of them and slit the other one into 3 equal halves. I shaded in 2 of the halves. These 2 circles represent [tex]1\frac{2}{3}[/tex].

Last, look at the 4 circles and ask yourself which one is the most shaded in. If you said [tex]1\frac{2}{3}[/tex] you are correct. This fraction is the biggest. Meaning that [tex]1\frac{1}{4}[/tex] is in the middle.

Could somebody help me solve this step-by-step? I'm stuck

Answers

Answer:

[1, 3]

Step-by-step explanation:

g(x) = f(2x), so g(x) is f(x) compressed horizontally by a factor of 2.  Vertically, it is not changed.

Therefore, the ranges are identical.

I am a three digit number. I am greater than 312 but less than 348. The digit in my tens place equals 5+2. The sum of my digits is 18. What number am I?

Answers

the answer would be 378

when 560000 is written in notation, what is the power of 10 a 4, b 5, c 6, d 7

Answers

Answer:

a : 4

Step-by-step explanation:

56*10^4 = 56*10000=560000

How do
You Write 67 in expanded form

Answers

Answer:

sixty seven

Step-by-step explanation: i think

Answer:

60+7

Step-by-step explanation:

Solve for p in the literal equation 8p+5r=q

Answers

8p + 5r = q

We have to isolate the variable  p. Let's begin by subtracting 5r from both sides.

8p = q - 5r

Divide both sides by 8

p = [tex]\frac{q - 5r}{8}[/tex]

[tex]8p + 5r = q[/tex]

Subtract 5r on both sides of the equation.

[tex]8p = - 5r + q[/tex]

Divide both sides of the equation by 8.

[tex]p = \frac{ - 5r + q}{8} [/tex]

6th grade math please help thx!!​

Answers

The answer is 26 so that means the quotient is 26.

Decide whether or not the matrices are inverses of each other.
[6 - 5]
[ -3 5 ] and [1/3 1/3 ]
[ 1/5 2/5]
A) No B) Yes

Answers

Answer:

Yes, the matrices are inverses of each other.

Step-by-step explanation:

Kindly check attached picture for the organized question and answer

How do you do this question?

Answers

Step-by-step explanation:

The marginal totals are the sum of each row and column.

For example, the total number of sophomores is 120 + 302 = 422.

See picture of table with marginal totals filled in.

The expression 1/x+y is equal to which quantities

Answers

Step-by-step explanation:

exponents is the awnser

Service Costs are part of maintaining your car. It's that time again. You will need an oil change costing $45, four new tires costing $89.95 each, and 2 new windshield wipers costing $7.95 each. What is the total cost of your service cost?

Answers

Answer:

420.7

Step-by-step explanation:

5 plus 5 times 10 minus 5

Answers

Answer:

95

Step-by-step explanation:

5+5 = 10 x 10 = 100 - 5 = 95

Have a good day!!

what the simplify form for –3(x + 3) + 4x

Answers

Answer:

x - 9

Step-by-step explanation:

First, distribute:

-3x - 9 + 4x

Then, simplify (add up x):

x - 9

And we're done ^^

Answer:

-3x -9 +4x

-3x + 4x - 9

x - 9

The answer is x - 9

you multiply -3 by x - 3

And there you go .

The model below can be used to find the quotient of one over two divided by one over eight. What is the quotient?

Answers

Answer:

The answer is 0.25

Step-by-step explanation:

I hope this helps please rate me and like me.

Answer:

0.25 or 1/8

Step-by-step explanation:

I had your question in a quiz so i understand your troubles I hope this helps.

Calculate the standard deviation of the volume of water at a temperature of 25°C.

Answers

Answer:

0.01

Step-by-step explanation:

Water is non viscous liquid and it has less density. The measure volume of water is 10.03 ml at 25 degree Celsius which is used to identify the standard deviation of the water.

Average volume of water 10.03ml.

Standard deviation is 0.0001 + 0.0001

Standard deviation is [tex]\sqrt{0.0002}[/tex]  = 0.01.

Liz has 72 stamps in her collection. Risa, who just started her collection, has 9 stamps. Liz’s collection is how many times larger than Risa’s?

Answers

Answer:

8× (8 times)

Explanation:

For this question, divide.

72 ÷ 9 = 8.

Your answer will be 8.

Answer:

8 times as many

Step-by-step explanation:

8x9=72

n-6m-8 for n help! please

Answers

Answer:

n=6m+8

Step-by-step explanation:

we hav to get n by itself

so start easy and add 8 to theother side

n-6m=8 then take 6m and add it the other side

n=6m+8 and there you go

Answer:

Step-by-step explanation:

n - 6m = 8

n = 8 + 6m

negative three times a number increased by 7 is less than-11
​

Answers

Answer: false.

Step-by-step explanation: the equation is as follows:

-3 + 7 = 7 - 3, which = 5

-3 times 5 = -15, making the statement false.

Answer:

6

Step-by-step explanation:

-3x+7<-11

-3x<-11-7

-3x<-18

X<-18/-3

X<6

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