Joey is building a doghouse. He measures the lengths of two sides and the hypotenuse to make sure the boards create a right triangle.



Which of the measurements below could be used to create the right triangle?

5 in, 7 in, 12 in
8 in, 12 in 14 in
5 in, 9 in, 11 in
6 in, 8 in, 10 in
pleasee help mee

Answers

Answer 1

Answer: 6in, 8in, 10in

6 squared + 8 squared equals to the radical of 100, which equals to 10 because 10 squared is.. 100

Answer 2

The measurements that can be used to build a right-angled triangle are

[tex]6 in, 8 in, 10 in[/tex]

The measurements that can be used to build a right-angled triangle must form a Pythagorean triple. A Pythagorean triple is a set of three numbers [tex]\{x,y,z\}[/tex] that satisfy the Pythagorean relationship

[tex]x^2+y^2=z^2[/tex]

The measurements [tex]\{5 in, 7 in, 12 in\}[/tex] do not form a triple since

[tex]5^2+7^2=74\ne12^2[/tex]

The measurements [tex]\{8 in, 12 in, 14 in\}[/tex] do not form a triple since

[tex]8^2+12^2=208\ne14^2[/tex]

The measurements [tex]\{5 in, 9 in, 11 in\}[/tex] do not form a triple since

[tex]5^2+9^2=106\ne11^2[/tex]

The measurements [tex]\{6 in, 8 in, 10 in\}[/tex] form a triple since

[tex]6^2+8^2=100=10^2[/tex]

So, the last set of measurements [tex]6 in, 8 in, 10 in[/tex] can be used to build a right-angled triangle

Learn more about Pythagorean triples here: https://brainly.com/question/16314667


Related Questions

will give brainliest :)
does force change in position
yes
no. or
it depends ​

Answers

Answer:

no but they can change in speed

Answer:

it depends

Step-by-step explanation

when there is a force its moving from some kind of energy ex: gravity

so when its faced with different energy it could change in position

6(g-3)=12 can someone show the working out ik the answer but i dont get the working out

Answers

Answer:

g = 5

Step-by-step explanation:

6(g-3)=12

6g-18 = 12

6g = 30

g = 5

Answer:

g = 5

Step-by-step explanation:

→ Expand the bracket

6g - 18 = 12

→ Add 18 to both sides to isolate 6g

6g = 30

→ Divide both sides by 6 to isolate g

g = 5

i- i just need help at this point...

Answers

Answer:

(2.8-3.5)/3.5=-.2 (100)=20%

Percent error is 20%

formula to fin percent error is ((approx-exact)/exact)(100)

Step-by-step explanation:

In mathematics test Mary scored 27 of a possible 60. What amount wa her percentage score?​

Answers

Answer:

45%!!

Step-by-step explanation:

Answer:

45%

Step-by-step explanation:

To convert a fraction to a percent, first divide the numerator by the denominator. Then multiply the decimal by 100

What is the solution set for 10x < 30

Answers

Simplifying
10x = 30

Solving
10x = 30

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '10'
x = 3

Simplifying
x = 3 as your answer:)

Solve 9x-17=5x-1
What is x?

Answers

Answer: x=4 hope this helps:)

Step-by-step explanation:

Answer:

x=-4

Step-by-step explanation:

9x-17=5x-1 isolate X

9x-17=5x-1 add +1 to each side of the equation 9x-17+1=5x-1+1 the ones cancels out... 9x-16=5x

add -9x to both sides..... 9x-16+9x=5x-9x...... 9x-9x-16=5x-9x

-16=5x-9x subtract 5x-9x

-16= - 4x divide both sides by -4

-4=x or x=-4

-

Find the equation of the line.
Use exact numbers

Answers

Answer:

[tex]y=-\frac{1}{3} x+5[/tex]

Step-by-step explanation:

This question is asking for slope-intercept form which is y=mx+b, where m is the slope and b is the y-intercept. First, find the slope; this can be done in two ways, counting change in y and x then dividing, or using the formula [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]. Either way for this graph the slope comes out as -1/3. Next, find the y-intercept, this is where the line intersects with the y-axis. In this case, the line touches the axis at 5, therefore 5 is the value of b.

Tomas makes a photobook online and sends copies to 4 family members. There is a
$6 shipping charge for each photobook. He pays a total of $112.

Answers

$28 for each member in total

factor 3v+12w
write your answer as a product with a whole number greater than 1.

Answers

Answer:

3 (v+4w)

Step-by-step explanation:

you could factor out 3 which is a whole number greater than 1.

i hope this help!

subtract 24ab-10b-18a from 30ab+12b+4a​

Answers

Answer:

-6ab-22a-22b

Step-by-step explanation:

Help me people I need it

Answers

You would put up as a fraction and solve it

Find the solution to the systems of equations using the elimination method.
2x + 3y = 11
5x + 3y = 14

Answers

X=-2/3y+11/3

x=-3/5y+14/5

Answer:

x = 1 ; y = 3

Step-by-step explanation:

5(2x + 3y = 11)

2(5x + 3y + 14)

(distribute)

10x + 15y = 55

10x + 6y = 28

(subtract)

9y = 27

(divided 9 to both sides)

9 divided by 9 cancels out and 27 divided by 9 = 3

so..

y = 3

now, using any equation, (i’ll be using 2x + 3y =11) plug in the y value to find the x value

2x + 3y = 11

2x + 3(3) = 11

(multiply 3 x 3)

2x + 9 = 11

(subtract 9 from 9 and 11)

2x = 2

(divide 2 from both sides)

2 divided by 2 = 1

therefore...

x = 1

Please help:In our amusement park that we built this week, the ride Diablo's
Domain had revenue of $250,000,000 in its first year as expected.
The company paid $750,000 for insurance or $3 for every $1,000
in revenue. If the park is wildly successful and revenue increases by
25% in the second year and the rate of $3 for every $1,000 holds
true, how much would it pay for insurance? Do you think it's
reasonable for insurance costs to increase proportionally? Why or
why not?

Answers

ANSWER ; 10003 yup cause 1000+3 =

This question has already been answered (don't forget to view my comment!)

https://brainly.com/question/21107962

A rectangular ground has the breadth 80percent of length and perimeter is 360m. Find the cost of planting the ground at Rs 8 per m^2​

Answers

Answer:

Rs 64000

Step-by-step explanation:

Since breadth B = 80% of length L, B = 0.8L

Perimeter, P = 2(L + B) = 360m

Substituting B = 0.8L into P, we have

2(0.8L + L) = 360 m

2(1.8L) = 360 m

3.6L = 360 m

L = 360m/3.6

L = 100 m

So, B = 0.8L = 0.8(100 m) = 80 m

The area of the rectangular ground is A = LB = 100 m × 80 m = 8000 m²

So, the cost of planting the ground at Rs 8 per m² is  Rs 8 per m² × 8000 m² = Rs 64000

3x - 5 = 1/2x + 2x solve the equation and please show your work im confused x =___
dont look it up

Answers

Answer:

X=2.5

Step-by-step explanation:

3x - 5 = 1/2x + 2x

3x - 1/2x - 2x = 5

1/2x = 5

X = 5 ÷ 1/2

X = 2.5

Hello mee need help I’m going to get a whooping because I’m failing.

Answers

Answer:

number 1,2,4

Step-by-step explanation:

these are all equal sides

please help struggling lol

Answers

Answer:

um i think 58

Step-by-step explanation:

The half-life of a certain radioactive substance is 14 days. There are 6.6 grams of the substance
present initially. Which equation represents the number of grams of the radioactive substance
on day 42?

Answers

Answer:

A(t) = 0.825 g

Step-by-step explanation:

To solve this for amount remaining, we will use the equation;

A(t) = A_o × (½)^(t/t_½)

We are given;

Initial amount; A_o = 6.6 g

Half life; t_½ = 14

Time elapsed; t = 42

A(t) is amount of substance remaining

Thus;

A(t) = 6.6 × (1/2)^(42/14)

A(t) = 6.6 × (1/2)³

A(t) = 6.6 × ⅛

A(t) = 0.825 g

One of the legs of a right triangle measures 15 cm and its hypotenuse measures 17 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

Answers

Answer:

8

Step-by-step explanation:

The Pythagorean theorem shows us that the measure of the sides in a right triangle can be calculated using the formula a^2 + b^2 = c^2. Using this formula, and filling in the blank, we can conclude that the other leg measures 8 cm.

Answer:

15

Step-by-step explanation:

What factoring method do you use to factor u²+70
1) difference of
squares
2) GCF
3) not foctorable
4) factor trinomial

Answers

Answer: 3) Not factorable

We cannot use the difference of squares method because we don't have a subtraction going on (ie "difference") and we don't have two perfect squares. The value 70 is not a perfect square.

We cannot factor out a GCF since the GCF here is 1, and that doesn't really affect things. Choice 4 is also not applicable because we don't have a trinomial. A trinomial has three terms.

A notebook is $3 more expensive than a
pen.
three notebook and four pens cost $44.
How much does one notebook cost?
How much does one pen cost?

Answers

Step-by-step explanation:

4 for a pen

7 for 1 note book


A ladder leaning against a vertical wall makes an angle of 35 with the ground. The foot of the ladder is 3 meters from the base of the wall What is the
length of the ladder to the nearest tenth?

Answers

Answer:

6.1

Step-by-step explanation:

SOH-CAH-TOA

cos35=5/x

x=5/cos35

x=6.1m

The answers are 6.1 cm or m

What is the perimeter of the triangle?
units
Stuck? Watch a video or use a hint.
Report

Answers

The answer to your question is 30

I was confused over this particular question. if you could help, I'd really appreciate it.​

Answers

Step-by-step explanation:

The 1st equation is in slope-intercept form.

=> Slope = 4

The 2nd equation is in point-slope form.

=> Slope = -1/4

Since their slopes are unequal,

The lines are not parallel to each other.

However the product of their slopes is -1,

Therefore the lines are perpendicular to each other.

The answer is the 2nd option.

Tammy and Jay go out to dinner. Their total bill, including tax, comes out to $46.14. Once they add tip, they end up spending $53.98. What percent tip did they give? (Round to the nearest percent).

Answers

Great job you got the answer correct you just have to subtract them that it your welcome

How many of the ways that 27 cents can be made using quarters, dimes, nickels, and pennies use an odd number of coins

Answers

I believe the answer is 13 ways to make 27 cents using Quarters, dimes, nickels, and pennies.

Step-by-step explanation:

Another ASAP
Please don't put a wrong answer, if so your answer will be deleted. Thank you for your time!

Answers

Answer:

y=6

Step-by-step explanation:

y=4x-2

y=4(2)-2

y=8-2

y=6

Hope it helped!

what is За – 2а x 4а + ба

Answers

Answer:

10a-3,7a-2,3a-9

1)4a+ 6a-3

10a -3

2)3a+ 4a -2

= 7a - 2

3) 2-3a+7

= 7+2-3a

= 9-3a

If 2/3 of the distance from the y-axis to point A (−30, −45) is equal to 1/4 of the distance from the x-axis to point B(a, a), where a > 0, what is the value of a?
50pts + BRAINLIEST

Answers

A n s w e r : .

a = 40

jax earns $14 per hour working at the dog kennel. write and solve an inequality that can be used to find how many hours he must work to earn greater than $168

Answers

14x>168 should be ur answer
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