find the length of the hypotenuse if both legs of the right triangle are 3

Answers

Answer 1

Answer:

h = 3[tex]\sqrt{2}[/tex]

Step-by-step explanation:

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 legs.

let h represent the hypotenuse , then

h² = 3² + 3² = 9 + 9 = 18 ( take square root of both sides )

h = [tex]\sqrt{18}[/tex] = [tex]\sqrt{9(2)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{2}[/tex] = 3[tex]\sqrt{2}[/tex] ← exact value

or h ≈ 4.24 ( to 2 decimal places )


Related Questions

A recipe calls for 4 spoons of sugar for every 40g of flour if 240g of flour is used how much sugar would be needed​

Answers

Answer:

24 spoons of sugar

Step-by-step explanation:

240/40= 6

6x4= 24

Determine if the two triangles are congruent.

Answers

Answer:

sas

Step-by-step explanation:

vertical angle stuffs

I believe the answer is Side angle side ;)

PLEASE HELP ASAP, GIVING BRAINLIEST TO CORRECT ANSWER
The vertices of parallelogram ABCD are (2,4), B(0, 0), C(6,2), and D(8, 6). Find the coordinates of the intersection of the diagonals.

Answers

Answer:

I believe it would be 4,3 not sure though

Step-by-step explanation:

Answer:

The answer would be 4,3

Step-by-step explanation:

Graph the points on a graphing calculator, that should help when you need to find diagonals

3
Gürkan bisikletiyle birinci gün 3.1 km, ikinci gun 4.5 km ve puncu
gun 4.25 km yol almıştır Gürkan üç günde toplam kaç km yol aims
tir? Tahmin ediniz Tahmininizi işlem yaparak kontrol ediniz.

Answers

tahmin etmek için yuvarlama yapmak gerekir 3,1=3 4,5=5 4,25=4,20 hepsini toplarsak 12,20

Write a similarly comparing the three triangles in the diagram

Answers

Answer:

ΔBCE similar to ΔECD similar toΔBED

Step-by-step explanation:

ΔBCE similar to ΔECD similar toΔBED

Each pair of polygons is similar. Find each missing side measure. two polygons 12 on top 5 on bottom second polygon 48 on top x on bottom

Answers

Answer:

[tex]x = 20[/tex]

Step-by-step explanation:

Given

First Polygon:

[tex]Top = 12[/tex]

[tex]Bottom =5[/tex]

Second Polygon

[tex]Top = 48[/tex]

[tex]Bottom =x[/tex]

Required

Find x

Since both polygons are similar, then:

[tex]Ratio = Top:Bottom[/tex]

For the first:

[tex]Ratio = 12:5[/tex]

For the second

[tex]Ratio = 48:x[/tex]

Equate both ratios

[tex]12:5 = 48:x[/tex]

Express as fraction

[tex]\frac{12}{5} = \frac{48}{x}[/tex]

Cross Multiply

[tex]12 * x = 48 * 5[/tex]

Solve for x

[tex]x = \frac{48 * 5}{12}[/tex]

[tex]x = \frac{240}{12}[/tex]

[tex]x = 20[/tex]

Triangles are similar Find the value of x.
Please i need help Thank you in advanced ​

Answers

28 1/3

Step-by-step explanation:

The scale factor is 5/3

Multiply 17 by 5/3.

28 1/3

Answer:

x=28.33 or 28 1/3

Step-by-step explanation:

12/17=20/x

12x=340

x=28.33

Write each ratio in three different ways based on the table. Party Mix Makes 8 Cups 3 cups pretzels 3 cups bagel chips 1 cup cheese crackers 1 cup peanuts

Answers

I need the table
To answer

bob has at least $5000 in savings. his savings balance is more than 3 times greater than his checking balance

Answers

Answer:

so then it to be 25000

Step-by-step explanation:

The answer would be 25000 because 5000 times 3 equals that.

Please help me! 20 points!
Enter your answer and show all the steps that you use to solve this problem in the space provided.

simplify
(in attachment)

Answers

Answer:

12 1/4 or (Decimal: 12.25)

Step-by-step explanation:

(3 1/2) (3 1/2)

= 7/2 (3 1/2)

= 7/2 (7/2)

= 49/4

= 12 1/4

   I hope I helped you!!

Step-by-step explanation:

When we multiplying, we find the sum of the exponents so

[tex]3 {}^{ \frac{1}{2} } \times 3 {}^{ \frac{1}{2} } \\ {3}^{ \frac{1}{2} + \frac{1}{2} } \\ = {3}^{ \frac{2}{2} } \\ = 3[/tex]

What about the other way up the mountain though, this car park starts at 191m with a total ascent metres of 1,000(100 Contour lines). And the distance to the top is shorter at 4km. So leaving at 11am, what time would you be expected to get to the café with no breaks? Walking pace, 3km per hour.*

Answers

Answer:

3

Step-by-step explanation:

10 points possible. answer everything completely and I will mark brainliest

Answers

Answer: A is a function. B is not a function. C is a function. D is not a function. E is not a function. F is not a function. G is a function. H is a function. I is not a function.

Step-by-step explanation:

Simplify (3xy3141x?). Use ^ when identifying your exponents
My solution is:
??

Answers

Answer:

3x^2y^3141

Step-by-step explanation:

hi help again lol :)​

Answers

Answer:

Please mark brainleiest

Step-by-step explanation:

Answer is B

Step-by-step explanation:

B if you divided all the y values by x you will get 0.9

Evaluate the expression


[tex](3-1)^{3} +7(6)-5^{2}[/tex]

Answers

8 + 42 -25 = 50 - 25 = 25

Step-by-step explanation:

(3-1)³ = (3³-1³)

= 27-1

=26

7(6) = 42

5² = 25

(3-1)³ + 7(6) - 5² = 26 + 42 -25

= 43

A slide 4.1 meters long makes an angle of 35 degrees with the ground. To the nearest tenth of a meter, how far above the ground is the top of the slide?

Answers

Answer:

hope it helped

have a nice day

The distance between the ground and the top of the slide is 2.4 meters.

Given:

The length of the slide is 4.1 meters.

The angle between slide and ground is 35 degrees.

To find:

The distance between the ground and the top of the slide.

Explanation:

Let [tex]x[/tex] be the distance between the ground and the top of the slide.

Using the given information draw a figure as shown below.

In the below figure,

[tex]\sin 35^\circ=\dfrac{x}{4.1}[/tex]

[tex]\sin 35^\circ\times 4.1=x[/tex]

[tex]2.35166...=x[/tex]

[tex]x\approx 2.4[/tex]

Therefore, the distance between the ground and the top of the slide is 2.4 meters.

Learn more:

https://brainly.com/question/10589442

Given the expression below, identify its factors.

3a + 4b– 7c - 12

Answers

Answer:

i dont think you can solve this because  

The expression is not factorable with rational numbers.

there are no like terms

Jon deposits $2000 into his account and pays at a rate of 4% per year. how much will he be paid in 3 years

Answers

He will be paid $5,760.
$2000*.04=80
80*3=240
2000*3=6000
6000-240=5760.
Hope this helps :)

the answer is 240

because 4% of 2000 is 80 so you just times 80 by 3 then you get 240

A sum of money is divided between Mohan and Sohan in the ratio 5:7 . If Sohan's share is ₹665, find the total amount.​
please help me fast.

Answers

Answer:

1140

Step-by-step explanation:

7u-> 665

1u->95

7+5=12

12u->1140

Great now I need help with another math problem!! Someone pls help me!!

Answers

Answer:

option c.............

Answer:

option c............

Step-by-step explanation:

y = 4x

what's
[tex](4 \sqrt{2} ) {}^{2} [/tex]

Answers

Answer:

32

Step-by-step explanation:

(4√2)^2=4^2×(√2)^2

=16×2

=32

Three students in a painting class made green paint by mixing blue and yellow paint. The table below shows the comparison of ounces of blue paint to ounces of yellow paint that each student mixed. Whose green paint mixture has a yellow-to-blue unit rate of 6 ounces to 1 ounce?

Answers

Answer:

Clara

Step-by-step explanation:

please help and quick cause im giving a lot of points

Answers

Answer:   it might be C let me know if im wrong

Step-by-step explanation:

9. Which points are on the graph with the equation -6x + y = 6. Select all that apply.
A. (0,6)
B. (6,2)
C (-1,0)
D. (-2, 3)



Please answer

Answers

This would be your answer!

Please answer will give brainlyest! :D

Answers

Let's just ignore memorizing any formulas for perimeters of a rectangle and just remember this!!

The opposite sides are the same right? and there are 2 pairs? that's why we just need to find one side in each pair and multiply the sum of them by 2!

Here we already know what 2 of the sides are! Therefore we find the sum.

((5/4)x+3)+3x-2= (17/4)x+1

Then we need to multiply this sum by 2

((17/4)x+1)*2=(17/2)*x+2

*Note I left the result as a fraction not a mixed number because this is how you are suppose to write it in higher math but if your teacher wants you to convert it into a mixed number, then go ahead!

Hope this helped!!

Answer:

P = (8.5x + 2)

Step-by-step explanation:

Given

l = (5/4x + 3) and w = (3x - 2)

Find the perimeter

P = 2(l + w)P = 2(5/4x + 3 + 3x - 2) =       2(17/4x + 1) =       17/2x + 2 =        8.5x + 2

Classify the triangle 3 8 12

Answers

Scalene is the correct answer(Assuming you mean side lengths when you say 3, 8, 12.)Please let me know if I am wrong.

O
What is the slope of the line passing through the points (4,-2) and (-5, 4)?

-3/2
-2/3
3/2
2/3

Answers

Answer:

B.) -⅔

Step-by-step explanation:

Subtract each variable

y¹-y

x¹-x

-2-4 = -6

4-(-5) = 9 -6/9 = -⅔

Max ran 3 1/3 mile yesterday and 2 1/3 miles today. How far did max run in all?

Answers

Answer: 5 2/6

Step-by-step explanation:

Answer:

5 2/3

Step-by-step explanation:

3 1/3 + 2 1/3

10/3 + 7/3

= 17/3

= 5 2/3

I hope I helped!!

It is 42 1/2 miles from Eaton to Baxter, and 37 4/5 miles from Baxter to Wellington. How far is it from Eaton to Wellington, if you go by way of Baxter?​

Answers

[tex]42 \frac{1}{2} + 37 \frac{4}{5} [/tex]

[tex]42 \frac{5}{10} + 37 \frac{8}{10} [/tex]

[tex] \frac{5}{10} + \frac{8}{10} = \frac{13}{10} = 1 \frac{3}{10} [/tex]

[tex]79 + 1 \frac{3}{10} = 80 \frac{3}{10} [/tex]

[tex]80 \frac{3}{10} \: \:miles \: or \: 80.3 \: miles[/tex]

//

Just double check that I did the right calculations

Mark is going to an awards dinner and wants to dress appropriately. He is running behind schedule and asks his little brother to randomly select an outfit for him. Mark has one blue dress shirt, one white dress shirt, one black dress shirt, one pair of black slacks, one pair of grey slacks, and one red tie. All six of his possible outfits are listed below. Let A AA be the event that Mark's little brother selects an outfit with black slacks and B BB be the event that he selects an outfit with a blue shirt. What is P ( A or B ) P(A or B)P, left parenthesis, A, start text, space, o, r, space, end text, B, right parenthesis, the probability that Mark's little brother selects an outfit with black slacks or an outfit with a blue shirt? Shirt Slacks Tie Outfit 1 11 Blue Black Red Outfit 2 22 Blue Grey Red Outfit 3 33 White Black Red Outfit 4 44 White Grey Red Outfit 5 55 Black Black Red Outfit 6 66 Black Grey Red

Answers

Answer:

The answer is "[tex]\bold{\frac{2}{3}}[/tex]".

Step-by-step explanation:

Pick a shirt first: 3 choices

Pick slacks next: 2 choices

Then choose a tie: 1 choice

Total: [tex]3 \times 2 \times 1 = 6[/tex] outfits.

These will be similarly divided between the two slacks, so 3 black slack outfits of [tex]6 = \frac{1}{2}[/tex].  Similarly, the 6 styles are also divided between the option of 3 shirts. 2 blue shirt outfits [tex]6 = \frac{1}{3}[/tex]

To recognize that over outfits are a mix of a blue shirt and black slack, it would be twice many more to add [tex]\frac{1}{2} \ and \ \frac{1}{3}[/tex]. Add [tex]\frac{1}{2} \ and \ \frac{1}{3}[/tex], and remove the chance for both the black slack shirt and outfit and are one of the six outfits:

[tex]\to \frac{1}{2} + \frac{1}{3} -\frac{1}{6} =\frac{3+2-1}{6} =\frac{4}{6} = \frac{2}{3}[/tex]

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