The lengths of the legs of a right triangle are 6 cm and 8 cm What is the length of the hypotenuse?

Answers

Answer 1

Answer:

The hypotenuse is 10 cm long.

Step-by-step explanation:

We can find the hypotenuse by using the following formula where "c" is the length of the hypotenuse and "a" and "b" are the lengths of the legs.

[tex]c = \sqrt{a^{2} + b^{2} }[/tex]

Now we just substitute the values and get...

[tex]c = \sqrt{a^{2} + b^{2} }\\c = \sqrt{6^{2} + 8^{2} } \\c = \sqrt{36 + 64} \\c = \sqrt{100} \\c = 10[/tex]

Therefore the hypotenuse is 10 cm long.


Related Questions

Hello could someone answer this? Thank you!

Answers

Step-by-step explanation:

m arc AD = (2×108) - 142 = 216-142= 74°

m<A = 180-108= 72°

X= [3 -5] Y= [6 7]
[-4 2]. [-4 -3] calculate X+Y

Answers

Answer:  [tex]X+Y=\begin{pmatrix}9&2\\ -8&-1\end{pmatrix}[/tex]

Step-by-step explanation:

Given:  [tex]X=\begin{pmatrix}3&-5\\ -4&2\end{pmatrix},\ \ Y=\begin{pmatrix}6&7\\ -4&-3\end{pmatrix}[/tex]

To calculate: [tex]X+Y[/tex]

Consider [tex]X+Y= \begin{pmatrix}3&-5\\ -4&2\end{pmatrix}+\begin{pmatrix}6&7\\ -4&-3\end{pmatrix}[/tex]

[tex]=\begin{pmatrix}3+6&\left(-5\right)+7\\ \left(-4\right)+\left(-4\right)&2+\left(-3\right)\end{pmatrix}\\\\=\begin{pmatrix}9&2\\ -8&-1\end{pmatrix}[/tex][[tex]\mathrm{Add\:the\:corresponding\: elements\: and\: simplify}[/tex]]

Hence, [tex]X+Y=\begin{pmatrix}9&2\\ -8&-1\end{pmatrix}[/tex]

Select the correct answer Which equation matches the function shown in the graph A.y=sin(x+pi) B. y=sin(x+pi/2) C.y=sin(x-pi) D. y=(x-pi/2)​

Answers

Answer:

y= sin(x+pi/2)

Step-by-step explanation:

I graphed all of the answers with a calculator and this equation was the only one that had points above the 2 pi on the x axis.

Answer:

Theyre right the correct answer is y = sin(x + pi/2)

Step-by-step explanation:

Took the test just confirming

Which equation is represented by the graph below?

Answers

y= 1/2 e^x is the answer

faktor sepunya terbesar bagi 24,36 dan 72

Answers

Answer:

Use a text book, so that you get the concept

Find the area of the figure and choose the appropriate result

Answers

Answer:

41.7

Step-by-step explanation:

A = 6*4 = 24

B = 3.5 * (3.8-2) = 6.3

C = 3*3.8 = 11.4

A + B + C = 41.7

Please help me asap!​

Answers

Answer:

Let's analyze the example first:

We have:

3, 4, 6      target 42    answer: (3 + 4)*6

If we solve the equation, we get:

(3 + 4)*6 = 7*6 = 42

So, we need to reorder the first 3 numbers in an expression, such that the solution of the expression is the target number.

a) 2, 5, 6     Target 40

We know that 5*8 = 40

and that 2 + 6 = 8

Then the answer is:

(2 + 6)*5

b) 3, 4, 6  target 12

Here we know that 4*3 = 12

and 6 - 3 = 3

Then the answer is:

(6 - 3)*4

c) 4, 6, 10   target 1.

We know that the quotient of two equal numbers is 1.

And 4 + 6 = 10

Then the answer here is:

(4 + 6)/10

d) 3, 5, 6 target 21

We know that 3*5 = 15

And 15 + 6 = 21

Then the answer here is:

3*5 + 6

e) 2, 7, 10  target 6.

Here is a harder one.

We know that 2*3 = 6

And that 10 - 7 = 3

Then the answer ere is:

2*(10 - 7)

f) 3, 6, 15   target  3

Here we can use:

(15 - 6) = 9

And 9/3 = 3

Then the answer is:

(15 - 6)/3

I need an answer immediately!!!!!!!

Answers

Answer:

y = 3x - 8

Step-by-step explanation:

_______________

!HELP ASAP / GEOMETRY
15 POINTS
what is the side length?

Answers

Answer:

The length of the side would be 9

Step-by-step explanation:

You can just multiply from the smaller figure 7*3=21, 5*3=15, so then 3*3=9

Katarina tosses a thumbtack on the ground 20 times to see if it lands on its side or if it lands with the point
facing up (there are no other possible outcomes). Let S = the number of times it lands on its side.
Is S a binomial variable? Why or why not?

Answers

Answer:

This situation satisfies each of the conditions for a binomial variable, so

S

SS has a binomial distribution.

Step-by-step explanation:

True. Each trial has two outcomes (lands on side or doesn't), results of each trial are independent, there is a fixed number of trials (

20

2020), and the probability of success is the same for each trial.

(from Khan Academy)

Answer: This situation satisfies each of the conditions for a binomial variable, so S has a binomial distribution.

Step-by-step explanation:

the ratio of men to women working for a company is 4 to 7 if there are 231 employees total how many women work for the company.

Answers

Answer:

297

Step-by-step explanation:

round to the nearst tenth

Answers

Answer:

Step-by-step explanation:

find the volume of the figure below for A, B, C

Answers

Answer:

a is .... 50

b is .... 63

c is .... 24

Step-by-step explanation:

formula LxWxH

a.

5*2=10

10*5=50

b.

7*3=21

21*3=63

c.

4*3=12

12*2=24

which quadrilateral has diagonals that are congruent but do not bisect each other

Answers

C. A rhombus

Hope this helps!

Rewrite the expression as an exponent with a base of x: (x^6)^4

Answers

Answer:

it´s good

Step-by-step explanation:

PLEASE HELP ME I AM BEING TIMED, I WILL MARK THE BRAINLIEST TO WHOEVER GETS THIS RIGHT, WITH AN EXTRA 10 POINTS!

Answers

Answer:

a)9

Step-by-step explanation:

i dont know what b is sorry

Answer: (a) = The gcf of 63 and 36 is 9. (b) = 9 x (7 - 4)

Step-by-step explanation:

John went shopping for a pair of jeans.
The whole store was 40% off. If the
jeans John picked out were originally
$70, how much would the jeans cost with
The discount?

Answers

Answer:

it should be 42 hope it helps

Step-by-step explanation:

?
2
Find the arc length of the partial circle.
Either enter an exact answer in terms of it or use 3.14 for it and enter your answer

Answers

9514 1404 393

Answer:

  3π units

Step-by-step explanation:

The full circumference of a circle with radius 2 is ...

  C = 2πr

  C = 2π(2) = 4π

The arc shown is 3/4 of the full circle circumference so is ...

  3/4C = (3/4)(4π) = 3π . . . units

I've had to repost this question like 4 times because ppl put fake answers, pls put the answer if u know it and dont lie

Answers

Answer:

189.05 ft^3

Step-by-step explanation:

I think this is the right answer but I'm not 100% sure.

So first, you need to find the area of the rectangular prism. 5*5=25, and there are 5 of these rectangles (4 sides and the bottom), so the total is 125 ft^3. I don't think you would include the area of the top, as the top is not flat, and has a pyramid on it.

To find the area of the pyramid, there is a somewhat complicated and long equation that I can't write here, but you can look up the formula for the area of a square pyramid.

The area of the pyramid is around 64.05 ft^3. 125+64.05=189.0500 rounded to the nearest hundredth is 189.05 ft^3.

Dan used 942 units of electricity from July to October
The meter reading in July was 32 347 units.
a)
Work out the meter reading in October.
b)
Each unit costs 14p.
How much do 942 units cost?​

Answers

Answer:

13,188

Step-by-step explanation:

14 × 942

That will give you 13,188

Answer:

a) 33289

b) £131.88

Step-by-step explanation:

→ To find the meter reading add the July reading to the units used

32347 + 942 = 33289

→ Multiply the unit price by the units used

0.14 × 942 = 131.88

Please help me I don't understand. If you explain it too it would really help.

Answers

Answer:

12 square feet

Step-by-step explanation:

To find the area of a triangle you have to multiply the base and height and divide it by two

6 * 4 = 24

24 / 2 = 12

Answer:

12sq.ft

Step-by-step explanation:

Area of∆=1/2x base x height

=1/2 x4 x6

=1/2 x 24

=12

MARK ME BRAINLIEST THANKS MY ANSWER PLEASE DO

what is lm in the triangle at the right​

Answers

There is no file attached it is blank can’t help you if I can’t see what i am suppose to be doing

Flo Rida currently has $5 to go to Mexico. He is selling his famous cupcakes for $25 a dozen to raise money.​

Answers

Answer:

8 dozen

Step-by-step explanation:

8 dozen (dozen means 12 by the way)

Describe how the graphs of square root and cube root functions are similar and how they are different.
Explain why they are different!!!

Answers

Answer:

Just as the square root is a number that, when squared, gives the radicand, the cube root is a number that, when cubed, gives the radicand. Cubing a number is the same as taking it to the third power: 23 is 2 cubed, so the cube root of 23 is 2.

Step-by-step explanation:

there i hope you understood

The graphs of Square root function only continues in one direction forever whereas the cube root function continues in two directions forever.

What is Square root function?

"The principal square root function [tex]f(x) = \sqrt{x}[/tex] (usually just referred to as the "square root function") is a function that maps the set of non negative real numbers onto itself."

What is Cube root function?

"The cube root function [tex]f(x) = \sqrt[3]{x}[/tex]  is a continuous function, with no start or end point. Its domain is all real numbers."

The similarities  in the graphs of square root function and cube root function are positive function (0,∞), x-intercept: intersects x-axis at (0, 0)

y-intercept: intersects y-axis at (0, 0).

The square root function only utilizes the positive square root. If both positive and negative square root values were used, it would not be a function. The cube root function can process  both positive and negative values.

Hence, the graphs of Square root function only continues in one direction forever whereas the cube root function continues in two directions forever.

Learn more about square root and cube root functions here

https://brainly.com/question/14231651

https://brainly.com/question/1870031

https://brainly.com/question/12485222

#SPJ2

There are 20 people in a room, If they all shake each other's hands once and only once, HOW MANY handshakes are there altogether?

Answers

I thinkkkkk40 I think

Help ASAP thank you!

Answers

This is D.5 units
…………….

Pls i need help on these I HAVE BEEN STUCK

Answers

Answer:

C for Question 3

B for Question 4

Yo fam I really need help with this. Its like parametric equations or smt and I really don't understand. Please include work, I'll give brainliest to any answer with work.

Answers

I’m confused too on the question

ILL GIVE BRAINLIEST!!

Answers

Answer:

Step-by-step explanation:

using formula

=

=3[tex]\sqrt{3}[/tex]/2*6^2

=108[tex]\sqrt{3}[/tex]/2

=54[tex]\sqrt{3}[/tex]

=93.5

he small ball inside the cubed display case has a volume of 8 cubic inches. If the free space inside the display case is 208 cubic inches, then how tall is the display case?


6 inches
8 inches
10 inches
9 inches

Answers

Answer:

6 inches

Step-by-step explanation:

Step 1

Find the volume of the display case

From the above question:

Volume of the small ball = 8 inches

Volume of the free space inside the display case = 208 cubic inches

Volume of the display case = Volume of small ball + Volume of free space

= 8 cubic inches + 208 cubic inches

= 216 cubic Inches

Step 2

How tall is the display case?

The display case is shaped like a square. Hence,

The length of the display case = cube root (Volume of the display case)

= cube root(216 cubic inches)

= 6 inches

Therefore, the length of the cubic display case = 6 inches

Answer:

If the free space inside the display case is 208 cubic inches, then the display case is 6inches tall.

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