A 180 foot length of fence is placed around a three-sided animal pen. Two of the sides of the pen are 72 feet and 78 feet. Does the fence form a right triangle?

Answers

Answer 1

Answer:

Yes

Step-by-step explanation:

Length of the third side

[tex]180-(72+78)=30\ \text{ft}[/tex]

The hypotenuse is always the longest side of a right triangle.

So, the hypotenuse here is [tex]c=78\ \text{ft}[/tex]

[tex]a=72\ \text{ft},b=30\ \text{ft}[/tex]

[tex]c=\sqrt{a^2+b^2}\\\Rightarrow c=\sqrt{72^2+30^2}\\\Rightarrow c=\sqrt{6084}\\\Rightarrow c=78\ \text{ft}[/tex]

The Pythagoras theorem applies so the fence does form a right triangle.


Related Questions

Jeremiah makes 25% of the three-point shots he attempts. For a warm up, Jeremiah likes to shoot three-point shots until he successfully makes one. Let M be the number of shots it takes Jeremiah to successfully make his first three-point shot. Assume that the results of each shot are independent. Find the probability that Jeremiah's first successful shot occurs on his 3rd attempt. You may round your answer to the nearest hundredth. P(M=3)=

Answers

Answer: .14

Step-by-step explanation: Khan Academy

Answer:

0.14

Step-by-step explanation:

First off, please read clearly.

This problem is asking for the probability that (M = 3).

The correct answer for this P(M = 3) problem is 0.14 through Khan Academy.

Even when you solve it, it is 0.14. The equation would be zero point twenty-five multiplied by parenthesis one minus zero point twenty-five closed parenthesis to the power of two. Written out the equation would be the following:

0.25x(1-0.25)^2

*** DO NOT MIX THIS UP WITH A VERY SIMILAR PROBLEM TO THIS. ***

There is a problem using this same Jeremiah situation but it asks for P(M < 4).

If you want the answer for P(M < 4) it is 0.58 so

P(M < 4) = 0.58

And another Jeremiah problem that asks for P(M > 6).

If you want the answer for P(M > 6) it is 0.18 so

P(M > 6) = 0.18

Have a nice day :)

f(x)=sin x-3 cos x is a sinusoid true or false

Answers

Answer:

true

Step-by-step explanation:

Graph DEF and its image when you translate DEF using vector

Answers

Answer:

The image coordinates are D'(8, 5), E'(12, 3) and F'(10,0)

Step-by-step explanation:

Given the vertices of △ DEF are D (2, 5), E (6, 3), and F (4, 0). We have to translate the triangle using the vector (6, 0)

Now, translation by vector (6, 0)

D (2, 5)=D'(2+6, 5+0)=D'(8, 5)

E (6, 3)=E'(6+6, 3+0)=E'(12, 3)

F (4, 0)=F'(4+6, 0+0)=F'(10,0)

Now, we have to label the coordinate of the triangle or to get image of triangle after translation.

Hence, The image coordinates are D'(8, 5), E'(12, 3) and F'(10,0)

Step-by-step explanation:

A ( ) has at least on fraction in the numerator, denominator

Answers

Answer:

rational equation

Step-by-step explanation:

A rational equation is an equation containing at least one fraction whose numerator and denominator are polynomials, \frac{P(x)}{Q(x)}.

What type of decimal is 0.275?

Answers

Answer:

55/200 or real

Step-by-step explanation:

if you divide 55 by 200 you get .275. A real number is a number that is positive and above 0

Answer:

Rational

Step-by-step explanation:

0.275 is a rational number

HELP GUYS THIS IS NOT FUNNY
WHAT IS 20 PLUS 20 IMCNOT LYING

Answers

Answer:

its 40 dude

Step-by-step explanation:

A person is weighed at 75.4kg to 1 decimal place. What's the minimum weight of the person?

Answers

Answer:

75.35 kg

Step-by-step explanation:

Find the slope of the line that goes through the following points.
A. –1
B. 1
C. –4
D. –7

Answers

Answer: B) Slope is 1

Step-by-step explanation:

Y² - Y¹ divide by X² - X¹

Plug in: -3 - (-4) divide by 1 - 0

             = 1 divide by 1

             = Slope is 1

For each percentage, find a matching statement to describe it.

10% of a number
25% of a number
50% of a number
75% of a number
80% of a number
100% of a number
Equal to that number
12 of that number
14 of that number
110 of that number
34 of that number
45 of that number

Answers

Answer:

mk,m

Step-by-step explanation:

mlmkm km

does 3,4,7 make a right triangle

Answers

No it should be 3,4,5 to make a right triangle

Can u help me?? please

Answers

Answer:

you checked the right box. Its b

Step-by-step explanation:

22/5 divided by 2/5 is 11

b

please help asap everything is in the ss

Answers

It would be x ≤ 13.2.

There is a sale today in a clothing store. All items are discounted 20%. The regular price of a T-shirt is $18. What is the discount price

Answers

$14.40 - Explanation 18 multiplied by .20 which is 20% as a decimal equals 3.6 so 18-3.6=14.4 which is $14.40

Step-by-step explanation:

[tex] \underline { \underline{ \text{Given}}} : [/tex]

Discount % = 20%Marked price of a T - shirt = $ 18

[tex] \underline{ \underline { \text{To\: find}}} : [/tex]

Discount amount

[tex] \underline{ \underline{ \text{Solution}}} : [/tex]

☥ [tex] \boxed{ \sf{Discount \: amount = Discount \: \% \: of \: Marked \: price}}[/tex]

⟼ [tex] \tt{20\% \: of \: 18}[/tex]

⟼ [tex] \tt{ \frac{20}{100} \times 18}[/tex]

⟼ [tex] \tt{ \$ \: 3.6 \:}[/tex]

[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt{ \$ \: 3.6}}}}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day / night ! ♡

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what is the greatest common factor for the two expressions?
15³ and 12²​

Answers

Answer:

Your answer would be 9.

Step-by-step explanation:

12*12=144

15*15*15=3375

The factors of 144 are: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

The factors of 3375 are: 1, 3, 5, 9, 15, 25, 27, 45, 75, 125, 135, 225, 375, 675, 1125, 3375

So the greatest common factor would be 9 since is the largest number that is the same for both of the numbers.

What are the solutions of this quadratic equation

Answers

Answer:

It's A.

Step-by-step explanation:

help ive been stuck on this for a while now

Answers

Answer:

a. 18

b.10

c.64

Step-by-step explanation:

a. 27/3=9

9x3=27

9x2=18

b. 36/9=4

9x4=36

40/4=10

c. 48/3=16

3x16=48

4x16=64

If it takes 20 minutes to drive to the store, 9 minutes to walk from your car to the back of the store, then back to the register, 2 minutes to walk back to you car, and 20 minutes to drive back why has my dad been gone for 9 years?​

Answers

Answer:

Maybe he ran out of gas. Give him a bit time to refill, and you'll be fine :)

I need this pls and thank you.

Answers

I think C
LET ME KNOW IF THIS HELPED

There are 9 female performers in a dance recital. The ratio of men to women is 2:3. How many men are in the dance recital?

Answers

Answer:

6 men

Step-by-step explanation:

slope 5 y - intercept 8​

Answers

I don’t know if you want the equation of the line, but if you do want so that’s the equation

y=5x+8

Help me for cookie pls

Answers

Answer:

x = 83°

Step-by-step explanation:

ZW is a straight angle which means it is equal to 180°

So 97° + x° = 180°

180° - 97° = 83°

If m= 3 and n= 2, then m2-n2 is equal to

Answers

Answer:

5

Step-by-step explanation:

(I'm assuming that by m2 and n2 you mean m to the power of 2 and n to the power of 2)

Whenever you have a number to a power, it is the same as that number times itself that power number of times. For example, 3 to the power of 4 is equal to 3 times itself 4 times, which is 3 * 3 * 3 * 3. If we use this and substitute the values in for m and n, we get that 3^2 - 2^2, and since 3^2 is 3 * 3 and 2^2 is 2 * 2 and 3 times 3 is 9 and 2 times 2 is 4, we get that 9 - 4 is 5.

Note: This symbol means to the power of ----> ^

Mr. Fowler's science class grew two different varieties of
plants as part of an experiment. When the plant samples
were fully grown, they compared their heights.
Pls help

Answers

Option D is the correct option.

What is Mean Absolute Deviation?

'The mean absolute deviation (MAD) is the mean (average) distance between each data value and the mean of the data set.'

According to the given problem,

The mean height Variety A = 19 [ from the table ]

The mean height of variety B = 13 [ from the table ]

The spread is given by the mean absolute deviation, which 1.2 for Variety A and 2.4 for Variety B. So we can see that, the spread in Variety A is lesser than the spread in Variety B, which shows that the average height of Variety A varies less than the average height of Variety B.

We can see from the table that the average height of a variety A is indeed greater than that of Variety B. Also we can see that the Mean Absolute deviation of Variety A is 1.2 which is lesser than the Mean Absolute deviation of Variety B.

Hence, option D is correct since the average height of Variety A is greater than Variety B, and also the mean varies lesser in Variety A than in Variety B.

Learn more about mean absolute deviation here: https://brainly.com/question/10528201

#SPJ2

An airplane takes 3 hours to travel a distance of 2700 miles with the wind. The return trip takes 5 hours against the wind. Find the speed of the plane in still air and the speed of the wind.

Answers

Answer:

720 mph, 180 mph

Step-by-step explanation:

Let the speed of the plane is x, speed of the wind is y

Speeds add up when in directions are same and subtract when opposite

Then as per the given we have equations:

3( x + y) = 27005(x - y) = 2700

Simplify the equations:

x + y = 900x - y = 540

Sum the two equations and solve for x:

2x = 900 + 5402x = 1440x = 720 mph

Find the value of y:

y = 720 - 540 = 180 mph

Speed of the plane is 720 mph

Speed of the wind is 180 mph

Marbelle has 10 shoes. Hailey has 4 shoes. Mabye has 400 shoes. How many shoes do they have all togherter?

Answers

Answer:

414

Step-by-step explanation:

10+4+400=414

Answer:

414

Step-by-step explanation:

What is the area to 16 square feet

Answers

Answer:

1.48645ft

Step-by-step explanation:

brainliest plssss

find the labeled points

Answers

Answer:

A= (6,76.5)

B =(32,18)

C=(80,0)

Step-by-step explanation:

The inequalities given are ;

3x + 8y ≥ 240

9x + 4y ≥ 360

x≥6

y≥0

The graph for the inequalities is as follows;

From the graph,

A= (6,76.5)

B =(32,18)

C=(80,0)

PLEASE HELP! how do you find Angle B, Angle C and length of A?

Answers

The total of angle measures in a triangle add up to 180 so take subtract 115 from 180 which = 32.5 so that’s the angles measures to C and B. the length of A is 42+53 which equals 95. So your answers are 32.5 and 95!!

A spinner has 14 equal areas Numbered one through 14 if the spinner is spun one time what's the probability that the result is a multiple of 3 or a multiple of 2

Answers

Answer:

0.643

Step-by-step explanation:

Given that :

{1,2,3,4,5,6,7,8,9,10,11,12,13,14}

Multiples of 2 : 2, 4, 6, 8, 10, 12, 14

Multiples of 3 : 3, 6, 9, 12

P(multiples o

(Multiples of 2 n multiples of 3) = {2,3,4,6,8,9,10,12,14} = 9

Probability = required outcome / Total possible outcomes

Hence,

P(multiple of 2 or 3) = 9 / 14 = 0.643

whats 10 to the power of 8 equals what

Answers

Answer:

[tex]100000000[/tex]

Step-by-step explanation: can i have brain plz!

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