Find the length of the hypotenuse of a 45°-45°-90° triangle with a leg length of 50 centimeters

Answers

Answer 1

The length of the hypotenuse of a [tex]45^{\circ}-45^{\circ}-90^{\circ}[/tex] triangle with a leg length of 50 centimeters is [tex]50\sqrt{2}[/tex].

Formula to find the hypotenuse of [tex]45^{\circ}-45^{\circ}-90^{\circ}[/tex]triangle.

The formula to calculate the hypotenuse of [tex]45^{\circ}-45^{\circ}-90^{\circ}[/tex]  traingle is to multiply the length of the leg by [tex]\sqrt{2}[/tex].

How to find the length of the hypotenuse?

The length of the two legs of [tex]45^{\circ}-45^{\circ}-90^{\circ}[/tex] triangle is equal.

Then the length of its hypotenuse will be calculated by multipling the length of the leg and [tex]\sqrt{2}[/tex].

Since the length of the leg is 50 centimeters,

Then its hypotenuse will be

[tex]h=50\times\sqrt{2}\\h=50\sqrt{2}[/tex]

So, the length of the hypotenuse will be [tex]50\sqrt{2}[/tex].

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Related Questions

Help!!!
I need the answer please

Answers

You do length*height*width
So 19*19*19 which is 6859

Answer:

[tex]6859 {ft}^{3} [/tex]

Step-by-step explanation:

[tex]V

=

w

h

l

\\

=

19

·

19

·

19

\\

=

6859 {ft}^{3}

[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Please answer correctly !!!! Will mark brainliest !!!!!!

Answers

Answer:

g(u) = -3/2 u + 1/4

Step-by-step explanation:

Solve for v

-12u +3 = 8v +1

Subtract 1 from each side

-12u +3-1 = 8v +1-1

-12u +2 = 8v

Divide each side by 8

-12u/8 +2/8 = 8v/8

-3/2 u + 1/4 = v

v = -3/2 u + 1/4

g(u) = -3/2 u + 1/4

To solve 12.5x = 215, you would ... 12.5 on both sides of the equation

Answers

Answer:

To solve you Divide by 12.5 on both sides

Answer: 17.2

Step-by-step explanation:

HELP ASP PLEASE AND WITH THE CORRECT ANSWER !!!! I will give you 14 points !!! Which classification is correct for 2?

Answers

Answer:

number 2 is an acute angle if that is what you mean

Step-by-step explanation:

Answer:

right angle?

Step-by-step explanation:

you wernt spesific soooo, and bc there is a right angle box where "2" is placed

What is the solution to the system of equations below?
y = -3/4x + 3 and y = –12

1. (20, -12)
2. (12, -12)
3. (-6,-12)
4. (-12,12)

Answers

Answer:

(20, -12)

Step-by-step explanation:

it is (20, -12)

-(3/4)x+3=-12

x=20

-3/4(20)+3=-12

Which of these numbers is an irrational number?

Answers

Answer:

square root of 25 and 5/3

Step-by-step explanation:

correct me if i am wrong

Answer: 25 and 5/3 hope it helps

40 Points
What are the slope and the y-intercept of the linear function that is represented by the graph?

On a coordinate plane, a line goes through points (negative 3, 0) and (negative 2, 4).
The slope is 3, and the y-intercept is 9.
The slope is 3, and the y-intercept is 12.
The slope is 4, and the y-intercept is 9.
The slope is 4, and the y-intercept is 12.

Answers

Answer: The slope is 4 and the y-intercept is 12.

Step-by-step explanation:

(-3,0)  and (-2,4)

find the difference in the Y values  0-4=-4

find the difference in the v- values   -3-(-2) =-1

Divide the y difference by the x difference   -4/-1 = 4 so 4 is the slope

Now to find the y intercept, use the formula y=mx + b and plot in coordinates and slope to find the y- intercept

4= 4(-2) + b

4 = -8 + b

+8    +8

b= 12  so the y intercept is 12

now the equation will be like y = 4x + 12

(-3,0)  and (-2,4)

find the difference in the Y values  0-4=-4

find the difference in the v- values   -3-(-2) =-1

Divide the y difference by the x difference   -4/-1 = 4 so 4 is the slope

Now to find the y intercept, use the formula y=mx + b and plot in coordinates and slope to find the y- intercept

4= 4(-2) + b

4 = -8 + b

+8    +8

b= 12  so the y intercept is 12

now the equation will be like y = 4x + 12

Can someone please help me with this question??

Answers

Answer:

Step-by-step explanation:

Discount =5% of x = 0.05x

Price after discount = x - 0.05x  = 0.95x

Tax = 5% of 0.95x = 0.05*0.95x

    =0.0475x

Price including tax = 0.95x + 0.475x = 0.9975x

What is the mean of the numbers?

Answers

Answer:

1.6666666666666...

Step-by-step explanation:

10/6=5/3=1.6666666...

solve.. pls need this quick.. I'll mark you as brainliest!!!

Answers

Answer:

b. 896

Step-by-step explanation:

just put the numbers on the choice to know the right answer. here when you put 896 in    *27/14/72=24 you will get the right answer which is 24. so the answer is 896.

Answer:

b. 896

Step-by-step explanation:

Let the required number be x .

[tex]x\times 27\div14\div72= 24\\x\times 27\div14\times\frac{1}{72}= 24\\x\times 27\times\frac{1}{14}\times\frac{1}{72}= 24\\x\times 3\times\frac{1}{14}\times\frac{1}{8}= 24\\\\x= \frac{24\times 8\times 14}{3}\\x= 8\times 8\times 14\\x= 64\times 14\\\huge\red{\boxed{x = 896}}\\[/tex]

The school is planning to add 2 new playgrounds. Each playground will be in the shape of a square that measures 31 m by 31 m. What will be the area of the​ playgrounds?

Answers

Answer:

The two squares with side = 31m are added.

=> Total area: A = 2 x 31 x 31 = 1922 (m2)

Hope this helps!

:)

To be fair I don’t know the answer either I just felt like writing something

Name

olving

7. © MP.6 Be Precise Alyssa made a pink

and white striped blanket for her bed.

There are 7 pink stripes and 6 white

stripes. Each stripe is 8 inches wide.

How wide is Alyssa's blanket? Explain.

Answers

Answer:

104 Inches

Step-by-step explanation:

Alyssa's blanket contains 7 pink stripes and 6 white  stripes.

Total Number of Stripes =7+6=13

Since each stripe is 8 inches wide.

The width of Alyssa's blanket will be the product of the number of stripes by the width of each stripe.

Therefore:

Width = 13 X 8 Inches =104 Inches

Alyssa's blanket is 104 Inches wide.

I NEED HELP.


using the digits 1 to 9 at most one each time, fill in the boxes to make the greatest (or least) product

__ • 10 (to the _ power) • __ • 10(to the _power)

Answers

Answer:

Step-by-step explanation:

5 lol

Find the answers to all the questions. 7th Grade math

Answers

Answer:

1) 178.54

2) 96

3) 141

To help with solving problems like this-these are some equations:

Square: l x h

Rectangle: l x h

Circle: π(r*2)

Triangle: (l x h) x 1/2

Hope this helps!

worth 30 points...Use the frequency table to determine how many students received a score of 80 or better on an
English exam.
A. 21 students
B.4 students
C. 6
D. 10

Answers

Answer:

the answer

Step-by-step explanation:

is D

A computer tech charges a $30 initial fee to come and fix a household computer plus $15 per hour. Which of the following linear equations does this follow?

Answers

Answer

45$

Step-by-step explanation:

if you only needs to be there for one hour it is for 45

if heis there for more hours then add 15 to the cost for every hou

Combining like terms with n
Combine the like terms to create an equivalent expression:
-k + 3k
Simplifyed

Answers

Answer:

-2k

Step-by-step explanation:

-k +3k

Factor out k

k(1-3)

k (-2)

-2k

Answer:

2k

Step-by-step explanation:

-1k + 3k = k(3-1) = 2k

Find the mean for the following set of numbers: -6, -4.5, 6, 9, 10.5

Answers

Answer:

3

Step-by-step explanation:

Answer:3

Step-by-step explanation:

Healthy Grains is planning a new design for its best-selling oatmeal. It has four containers to choose from. It costs the company $0.03 per cubic inch of oatmeal to fill a container. The company does not want the new container to cost more than $4.00 to fill. Which container should the company use? Use 3.14 for Pi. Container A Container B A cylinder with height 7 inches and diameter 5 inches. A cylinder with height 10 inches and B = 12.57 inches squared. Container C Container D A cylinder with height 5.5 inches and radius 4 inches. A cylinder with height 6 inches and radius 3 inches. container A container B container C container D

Answers

Answer:

b

Step-by-step explanation:

(25 points!!!!) draw the graph of the area bounded by these inequalities

Answers

Step-by-step explanation:

To draw the graph, follow these steps:

Graph the lines using points from the equations. (the blue line shown should be dotted, unfortunately I cannot do that in the program I used)Determine which direction the inequalities are correct.  Find the boundary given.

The three inequalities given form a triangle.

The first equation, y ≤ 2x + 5, has a y-intercept at (0, 5) and a point at (-2, 1).

The second equation, y < -3x + 10, has points at (3, 1) and (2, 4).

Use two points to draw the lines.

After the lines are drawn, determine which side of the line the inequality works on. You can do this by testing points that are not on the line.

I will test each inequality using (0, 1):

y ≤ 2x + 5

0 ≤ 2 + 5

This is correct, so the inequality for y ≤ 2x + 5 will be shaded towards (0, 1).

y < -3x + 10

0 < -3 + 10

This is correct, so the inequality for y < -3x + 10 will be shaded towards (0, 1).

0 ≤ 1

This is correct, so the inequality for 0 ≤ y will be shaded upwards towards (0, 1).

The end result of this graph is all three inequalities being shaded (inwards).

The solution is a triangle with points at (1, 7), (3.33333, 0), and (-2.5, 0).

Brett deposited $3200 into a savings account for which interest is compounded quarterly at a rate of 2.4%. How much interest will he earn after 15 years? $300.42 $768.14 $1367.19 $1381.72

Answers

Answer:

$1,367.19

Step-by-step explanation:

Answer: $1381.72

Step-by-step explanation:

A= P(1+r/n)^nt

(Compounded quarterly= 4)

step 1.

3200(1+0.024/4)^(4)(15):

3200(1+0.006)^60= 4581.72

step 2.

4581.72- 3200= 1381.72

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Divide the following polynomial and then place the answer in the proper location on the grid. Write your answer in order
of descending powers of y.
(y^3- y^2 + y + 3) ÷ (y + 1)​

Answers

Answer:

(y²- 2y + 3) will be the answer.

Step-by-step explanation:

The given expression is (y³ - y² + y + 3) ÷ (y + 1)

By using long division method,

y + 1) y³ - y² + y + 3 (y²- 2y + 3

        y³ + y²

            - 2y² + y

            -2y² - 2y

                      3y + 3

                      3y + 3

                             0

Here the quotient is (y² - 2y + 3) and the remainder is 0.

Therefore, answer will be (y² - 2y + 3).

Answer:

y^2-2y+3

Step-by-step explanation:


A. 9
B. 43%
C. 153
D. 11

Answers

The answer is A.

You must factor the numerator and denominator and cancel the common factors.

solve the equation x² + 6x + 1 = 0

Answers

Answer:

Two solutions were found :

x =(6-√40)/2=3-√ 10 = -0.162

x =(6+√40)/2=3+√ 10 = 6.162

Step-by-step explanation:

Trying to factor by splitting the middle term

1.1     Factoring  x2-6x-1

The first term is,  x2  its coefficient is  1 .

The middle term is,  -6x  its coefficient is  -6 .

The last term, "the constant", is  -1

Step-1 : Multiply the coefficient of the first term by the constant   1 • -1 = -1

Step-2 : Find two factors of  -1  whose sum equals the coefficient of the middle term, which is   -6 .

     -1    +    1    =    0

The solutions to the equation x² + 6x + 1 = 0 are -0.177 and -5.823.

Given:

quadratic equation x² + 6x + 1 = 0

The quadratic formula states that for an equation of the form ax² + bx + c = 0, the solutions for x can be found using the following formula:

[tex]x = \dfrac{-b \pm \sqrt {(b^2 - 4ac)}}{2a}[/tex]

In our equation, a = 1, b = 6, and c = 1.

Now, let's plug these values into the quadratic formula:

[tex]x = \dfrac{-6 \pm \sqrt {(6^2 - 4(1)(1))}}{2(1)}[/tex]

x = (-6 ± √(36 - 4)) / 2

x = (-6 ± √32) / 2

Now, the two solutions for x:

1. x = (-6 + √32) / 2

      = (-6 + 5.66) / 2

      = -0.177

2. x = (-6 - √32) / 2

      = (-6 - 5.66) / 2

       -5.823

So, the solutions are -0.177 and -5.823.

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Evaluate (25)2 · 52 + 10

Answers

Answer:

2610

Step-by-step explanation:

For this question, we can use P.E.M.D.A.S.

Parentheses

Exponent

Multiplication

Division

Addition

Subtraction

(25)2 * 52 + 10

50 * 52 + 10

2600 + 10

2610

Following the order that Multiplication and Division is first than Sum and Rest then

25 x 2 x 52 = 2600 + 10 = 2610

Which ordered pair would form a proportional relationship with the point graphed below ?

Answers

Answer:

(-30, 10)

Step-by-step explanation:

if you multiply both -20 and 60 by -0.5 you get 10 and -30 respectively. being the only pair of numbers achievable by the proportion property.

Answer:

(-30,10)

Step-by-step explanation:

Mr. Stanley bought a car that was marked down 18%.
Write an expression for the price,p
*Hint: Subtract the percentage from 100 and write it as a decimal*

Answers

Answer:

.82

Step-by-step explanation:

I hope this is the type of answer your looking for.

Please mark me as brainliest....it would mean a lot

The cost of 6 sandwiches and 4 drink is $53. The cost of 4 sandwiches and 6 drinks is $47. How much does one sandwich cost?

Answers

Answer:

sandwich = 6.50

Step-by-step explanation:

Let s = sandwich price

d = drink price

6s + 4d = 53

4s + 6d = 47

Multiply the first equation by 3

18s + 12d = 159

Multiply the second equation by -2

-4s - 12d = -94

Add these equations together

18s + 12d = 159

-8s - 12d = -94

--------------------------

10s = 65

Divide by 10

s = 65/10

s =6.5

A solid has faces that consist of 2 triangles and 3 rectangles. The solid has 9 edges. How many vertices does the solid have?
A 6 vertices
В. 8 vertices
C. 10 vertices
D. 12 vertices
Please select the best answer from the choices provided
А
B
С
D

Answers

Answer:

The correct answer is A) 6 vertices

Step-by-step explanation:

The solid is a triangular prism

help me please, i dont understand, and i try ​

Answers

Answer:

B and D

Step-by-step explanation:

i think

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