The perimeter of the rectangle below is 68 cm. The perimeter of the triangle is 60 cm. Find the length of the hypotenuse of the triangle​

Answers

Answer 1

The right triangle is assumed to be inscribed in the rectangle, such that

hypotenuse is the diagonal of the rectangle.

The length of the hypotenuse of the triangle is 26 cm.

Reasons:

Let x and y represent the length of the sides of the rectangle

Whereby the base and height of the right triangle are the same as the

length and width of the rectangle, we have;

Perimeter of the rectangle = 2·x + 2·y = 68

Therefore;

[tex]\displaystyle x + y = \frac{68}{2} = 34[/tex]

x + y = 34

The base of the right triangle = x

The height of the right triangle = y

By Pythagoras's theorem, the length of the hypotenuse side = √(x² + y²)

Therefore; Perimeter of the right triangle = x + y + √(x² + y²) = 60

Which gives;

√(x² + y²) = 60 - (x + y) = 60 - 34 = 26

The length of the hypotenuse side, √(x² + y²) = 26 cm

Learn more about Pythagoras's theorem here:

https://brainly.com/question/8171420


Related Questions

Is the following acute obtuse or a right triangle

Answers

Answer: Obtuse

Would appreciate brainly <3

It’s going to be an obtuse triangle.

the area of a rectangle pool is 7452m^2.If the width of the pool is 81m, what is the length?

Answers

Since width x height equals to the area of a rectangle we just have to find out what 7452×7452 in this case The answer is 55,532,304 then we have to divide that big number by 81 which will give us our final answer of 685,584m as the length of the rectangle.

Can someone please help I will give 30 points if the answer if right and brainliest but no links please

Answers

The symbol of red in pic indicates that angle is right angle.

So, ∆ MOU = ∆ CUO = 90°

PLS HELP WILL MARK YOU BRAINLIEST

Answers

Answer:

A) 49x^2-36 km

Step-by-step explanation:

Remember that speed is equal to distance divided by time. Therefore, if you multiply time with speed, then you get the distance traveled.

So, we will do (7x+6) kph multiplied by (7x-6) hours to get 49x^2-36 km.

Answer:

A.

Step-by-step explanation:

Tyra makes $21. 40 per hour at her job for the first 40 hours and $32. 10 for anything over 40 hours. If Tyra typically works 45 hours per week, how much does she earn? a. $856. 00 b. $963. 00 c. $1,016. 50 d. $1,444. 50.

Answers

Based on the information the amount she earn is: c. $1,016. 50 .

Hours worked= 45 -40

Hours worker=5 hours

Earning for first 40 hours

Earning = 40 × 21.40

Earning=$856

Earning for over 40 hours

Earning = 5 × 32.10

Earning=$160.5

Total earning

Total earning = $856 + $160.5

Total earning=$1,016.50

Inconclusion the amount she earn is: c. $1,016. 50 .

Learn more total earning here:https://brainly.com/question/13943984

which best describes the relationship between the 125 angle and angle a

Answers

Answer:

They are same side interior angles. Angle A measures 55°.

Step-by-step explanation:

On the planet Tott, there are 7 rews to every 6 hopts. If farmer Boondin has 40 hopts on her frenk farm, how many rews are on the farm?



HELP ME PLEASE!!! ITS DUE TONIGHT​

Answers

Answer: They know approximately how many hours they will need to seed and harvest and can plan

Step-by-step explanation:

write the equation of the line that passes through the given point and has the given slope write all final answers in slope intercept form (3,-8); slope = -3​

Answers

Step-by-step explanation:

the general slope intercept form is

y = ax + b

a is the slope.

b is the y-intercept (the point, where the line crosses the y-axis, meaning the y value when x=0).

we get b by using the point coordinates in the equation and solve for b :

-8 = -3×3 + b = -9 + b

1 = b

so, the full line equation is

y = -3x + 1

I need it right now .

Answers

Answer:

y=9

a=1.5

n=74

v=8

k=11

a. y=14
b. a=6.5
c. n=-226
d. v=12
e. k=11

A square based pyramid is 70.56N the pyramid exerts a pressure of 4900N/m2 on the table.
Work out the volume of the square based pyramid in cm.
Your must show your working.

Answers

Answer:

[tex]{ \tt{pressure = \frac{force}{volume} }} \\ \\ { \tt{4900 = \frac{70.56}{v} }} \\ \\ { \tt{v = \frac{70.56}{4900} }} \\ \\ { \tt{ \underline{ \: v = 0.0144 \: {m}^{3} \: }}}[/tex]

Helppppppp pleaseeeeeee

Answers

6:15 to 7:45 is 1 hour and 30 minutes.

Dividing 1 hour and 30 minutes by 15 minute intervals equals 6

They rang the bell 6 times

the answer is 6 times

5x+2y<8 graph the inequality

Answers

answer: fyi; the line isn’t solid! make sure you shade the side as well!

Why does the slope intercept forumla use m and b.

Answers

Answer:

y=mx+b

Step-by-step explanation:

m=slope

b= y-intercept

Please explain I don’t really understand this lol

Answers

Answer:

Option 2: y = ⅓ x

Step-by-step explanation:

A compression is the transformation of a parent graph wherein there is a decrease in the distance between the corresponding points of a graph and a line.

A vertical compression of the parent graph is represented by y = a·f(x), where the parent graph is compressed by a factor of a, given that 0 < a < 1.  

Out of all the given options, the equation in Option 2: y = ⅓ x, represents the vertical compression of the parent graph by a factor of ⅓, as the value of a is between 0 and 1. This implies that the y-coordinate of each point on the graph of y = ⅓ x is one-third the y-coordinate of the corresponding point on the graph of the parent function.

Therefore, the correct answer is Option 2: y = ⅓ x.

Mrs. Rashad Is baking 3 ples, She needs 1 /6 cups of strawberries for each ple. How many cups of strawberries does she need in all?

Answers

Answer: 3/6 or 1/2

Step-by-step explanation: 1/6 x 3 = 3/6 or simplified form 1/2.

Answer:

1/2 cups of strawberries is required.

Step-by-step explanation:

1 pie = 1/6 cups of strawberries

=> 3 pies = 1/6 x 3

=> 3 pies = 1/2 cups of strawberries.

Hoped this helped.

what fraction is not equivalent to 2/6? 1/3, 12/36, 4/12, 6/9

Answers

Answer:

6/9

Step-by-step explanation:

1/3 is half 12/36 is 2×6 and 6×6 4/12 is 2×2 and 6×2 making 6/9 the odd one out as 6 can't go into 9 without making a decimal

How many times does 6 go into 719 divison with partial quotient

Answers

119.833333333 times it goes into 719 119.833333333 times

Answer:

119 R5

Step-by-step explanation:

we first divide 7 by 6 and we get that it goes in once

so 1__

then after we do 7 - 6 and get a remainder of 1

we drop the 1 next to the other one and get 11

then we divide 11 by 6 and we get that it goes in once

so 11_

then after we do 11 - 6 we get a remainder of 5

we drop the 5 next to the nine and get 59

then we divide 59 by 6 and get 9

so 119

then after we do 59 - 54 and get a remainder of 5

so our answer is 119 R5

Solving Equations Using Distributive Property 6(x - 3) = 36​

Answers

Answer:

x=9

Step-by-step explanation:

Expand bracket

6x-18=36

Bring -18 to other side

6x=36+18

Add them

6x=54

Bring 6 to other side

x=54/6

Divide them

x=9

Last year, 120 students were sick at school. This year, 20% fewer students are sick. How many students are sick this year?​

Answers

Answer:

100

Step-by-step explanation:

Graph the line with slope -3 and y-Intercept -1

I need a line

Answers

y = mx + b where m is the slope and b is y intercept

Slope is also rise/run.

NEED HELP ASAP!


1. For the function y = 3x - 6, what is a the output when the input is 10?

Answers

Answer:

24

Step-by-step explanation:

You input will always be your x so you just substitute x with 10 and simplify. Which is 30 minus 6, thus 24. :)

Find the value of y.

Answers

Answer:

200 I think just kidding or you ca

Determine the intervals on which the function is increasing, decreasing, and constant.

A) Increasing on (-infinity ,infinity )
C) Increasing on (0, infinity); Decreasing on (-infinity ,0)
B) Increasing on (-infinity ,0); Decreasing on (0,infinity )
D) Decreasing on (-infinity, infinity )

Answers

Answer:

A. Increasing on (-infinitity, infinity)

Step-by-step explanation:

If you look at the graph from left to right, the line is always going up towards higher numbers, meaning that it's always increasing.

Solve -4=2/7p. solve for p

Answers

Answer:

forma exata

p=-1/14

Step-by-step explanation:

p=-0.0714285

Someone plz help me :(

Answers

Answer:

it is answer A

Step-by-step explanation:

answer A has the correct ordered pairs on the correct lines, and in the correct order, the others either have the lines, or the order, or the ordered pair in general mixed up.

need help knowing if I got it right

Answers

Answer:

yeppp i got the same answer

Step-by-step explanation:

| Solve for X
8x + 1 = 49

Answers

8x + 1 = 49

8x = 48

x = 6

Which shows the prodcuts orderd from least to greatest

Answers

Bottom left

——————
——————

Which value of m is a counterexample for the following statement?

If m is an odd prime number, then m + 2 is also prime.

7

3

5

9

11

Answers

Answer: 7

The prime numbers here are 3, 5, 7, and 11. This means that 9 is not prime. Since 7 +2 is 9, this disproves that m + 2 is also prime.

Would appreciate brainly <3

Answer:

true

Step-by-step explanation:

because you can start at zero and go on forever adding twos but it'll still be the same

What is the equation of the line that is parallel to the given line and passes through the point (–2, 2)?

y = One-fifthx + 4
y = One-fifthx + Twelve-fifths
y = –5x + 4
y = –5x + Twelve-fifths

Answers

Answer:

y = 1/5x + 12/5

Step-by-step explanation:

First find the slope of the given line

m = ( y2-y1)/(x2-x1)

m =( -3- -4)/(0- -5)

   (-3+4) /(0+5)

    1/5

Parallel lines have the same slope

Using point slope form of a line

y-y1 = m(x-x1)

y - 2 = 1/5(x--2)

y -2 = 1/5(x+2)

Distribute

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

Add 2 to each side

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

y = 1/5x + 2/5 + 10/5

y = 1/5x + 12/5

Answer:

B. y = 1/5x + 12/5

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