The hypotenuse in this 45-45-90 triangle is given. How would you find the length of a leg
of the triangle?
8 V2
45degrees

Answers

Answer 1

Answer:

The length of the legs of the triangle is 8 units.

Step-by-step explanation:

45-45-90 triangle

A 45-45-90 triangle is a special case of a right triangle in which both legs l have the same value and the hypothenuse is h. By the Pythagorean Theorem:

[tex]2l^2 = h^2[/tex]

Hypothenuse of 8 V2

This means that [tex]h = 8\sqrt{2}[/tex]

So

[tex]2l^2 = h^2[/tex]

[tex]2l^2 = (8\sqrt{2})^2[/tex]

[tex]2l^2 = 64*2[/tex]

[tex]l^2 = 64[/tex]

[tex]l = \sqrt{64}[/tex]

[tex]l = 8[/tex]

The length of the legs of the triangle is 8 units.


Related Questions

Find the area of the circle. Round your answer to the nearest hundredth. 3 in

Answers

Answer:

28.27 or 28 rounded up.

Answer:

7.07 in²

Step-by-step explanation:

Diameter = 3 in ( shown in figure )

Radius = 1/2( diameter) = 1/2 (3) = 1.5 in

Area of a circle = πr²

Area = (3.14)(1.5)²

Area = (3.14)(2.25)

Area = 7.065 in

Area = 7.07 in² ( round off)

answer and give proof and ill give brainliest

Answers

Answer:

I'm giving you the steps

Step-by-step explanation:

Add all the numbers shown then round them

Emergency rooms have reason to suspect that visits increase on the weekends. A recent report indicates that Monday through Thursday represent 10% per day of the weekly total visits while Friday accounts for 15%, Saturday 25% and Sunday 20%. If your ER has the following pattern, Monday, 120, Tuesday, 130, Wednesday 110, Thursday 95, Friday 160, Saturday 280 and Sunday 105.
Does your facility have the same pattern as the recent report at the 10% level?
1. Yes
2. No

Answers

Answer:

i think i am pretty sure its a yes

No, the facility dose not have the exact pattern as the recent report at the 10% level.

What is Chi squared test of hypothesis?

To determine if the Facility have the same pattern,

By using Chi squared test for Goodness of fit state the hypothesis

[tex]$H_{0}[/tex] : μ = same pattern

[tex]$H_{a}[/tex] : μ ≠ same pattern

Expected frequency (E)  = proportion [tex]*[/tex] summation of frequency

summation of frequency = 1000

degree of freedom [tex]= 7 - 1 = 6[/tex]

Calculate the expected frequency (E) ,(O-E)²/E.  

Given that the observed frequency and expected proportion exists given

For Monday

expected frequency = proportion [tex]*[/tex] frequency = 0.1 [tex]*[/tex] 1000 = 100

(O-E)²/E.  = ( 120 - 100 )² / 100 = 4.0.

observed frequency (O), expected frequency (E)

For Tuesday

E = 0.1 [tex]*[/tex] 1000 = 100

(O-E)²/E  = ( 130 - 100 )² / 100 = 9.0

For Wednesday through Sunday

Then perform Chi-squared test

X² = Σ(O-E)²/E  = 63.642    

∝ = 0.1

df = 6

hence P-value = 0.000 ( = chi sq dist rt(test-stat,df)

since P-value < ∝ ; we will fail to reject Ha  hence we reject [tex]$H_{0}[/tex].

To learn more about Chi squared test

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What’s the correct answer for this question?

Answers

Answer:

choice 4) -3x = 4y

Step-by-step explanation:

-3(-4) = 4(-3)

12 ≠ -12

Answer:

-3x=4y

Step-by-step explanation:

if u do that equation it would equal 12=-12

what does (b + 3) + 6= ?

Answers

Answer:

(b + 3) + 6 = b + 9

Explanation:

The order in which you add numbers together doesn't matter.

HELP HELP HELP IM GIVING BRAINLIEST!!!!! :))

Answers

Answer: g

Step-by-step explanation:

WILL MARK BRAINLIEST W 20 POINTS
What is most likely the line of best fit for this scatter plot? Graph shows numbers from 0 to 14 at increments of 1 on the x axis and numbers from 0 to 22 at increments of 2 on the y axis. Scatter plot shows ordered pairs 1, 4 and 2, 7 and 3, 9 and 4, 10 and 5, 10 and 6, 12 and 7, 14 and 8, 15 and 9, 16 and 10, 18 and 11, 20 and 12, 22. A line labeled A joins ordered pair 0, 2.5 and 12.5, 22. A line labeled B joins ordered pairs 0, 3.5 and 14, 16. A line labeled C joins ordered pairs 0, 3.5 and 14, 11. A line labeled D joins ordered pairs 0, 4 and 14, 5.5. Line A Line B Line C Line D

Answers

Answer:

huh i dont get it

Step-by-step explanation:

which option has like terms?
a.2x^2 and 4y^2
b.xy and yz
c.3x and and 7x

Answers

Answer:

C) 3x and 7x

Step-by-step explanation:

Both terms in C have the same variable in which you can combine the terms to make 1. The other ones don't.

Answer:

c. 3x and 7x

Step-by-step explanation:

We have three pairs of two terms and are asked to determine which option has "like terms."

Like terms are two numbers with variables that are the same.

With this information, we can determine which is and which isn't like terms.

a. 2x^2 and 4y^2 are incorrect because the variables within the number do not match, 2x^2 and 4y^2.

b. xy and yz are incorrect because the variables also do not match, xy and yz.

c. is correct because the variables within the two numbers are the same. 3x and 7x.

Solve 7x- c = k for x

Answers

Answer:

D

Step-by-step explanation:

I know the answer is D because I set the equation to be equal to x.

First, I added c to both sides. The equation looked like: 7x=k+c

Then, I divided 7 on both sides, so x would be by itself. The equation looked like x=k+c/7

In conclusion, the answer is D. x=k+c/7

What?

AAeEeEeEeOOoooO



h??










Eeb

Answers

EEEEEEEoooooooooooEEEEEEEoooooo

Hello!









What am i doing with my life?

7. Logan can type 45 words in 2 minutes. Ebony can type 22 words in 45 seconds. Who
types slower?

Answers

Logan bc 45 divided by 2 is 22 every min but ebony types 22 per 45 seconds so Logan

Answer:

Ebony can type faster at 58.6 words per 2 minutes

Step-by-step explanation:

Question 1
The grade 12 class of Ntsako secondary school wants to sell vetkoek with a mincs
to generate funds for the matric farewell. The ingredients of the recipe for the mic
well as the prices they negotiated at the local supermarket are shown on the tables beton
total amount needed for the matric farewell planned for so learners and 3 Educators with
partners, is R88 000.00 Including transport to the venue
25 VETKOEK S GRADE 12 CURRY MINCE FILLING FOR FUNDRAISING
TABLE
Ingredients for curry ice
2 Large onions
1 ko Mince
15 Cups of water
5 Teaspoons sa
2 Cups of vinegar
1 Large carrots (grated)
2 Large potatoes (died)
15 Tablespoons apricot jam
1 Tablespoon chutney
1.5 tablespoons sugar
% teaspoon mild curry powder
Steaspoons hot curry powder
2 tablespoons turmeric​

Answers

answer: where is the question?

Which of the following statements best describes the diagram below?

a. The intersection of two planes is a line.
b. The intersection of two points is a line.
C. Two points can be contained in two planes.
d. Two points can intersect at two planes.

Answers

The statement first “The intersection of two planes is a line." option (a) is correct.

What is a straight line?

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have two planes, Y and Z intersecting each other.

The intersection of two lines is a point.

As we know, if the two planes intersect each other, the intersection will be a line.

If planes are parallel then there will no intersection.

Thus, the statement first “The intersection of two planes is a line." option (a) is correct.

Learn more about the straight line here

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7. What is the volume of the rectangular prism?
4.8 mm
6.4 mm
14.2 mm

Answers

6.4 i think correct me if I’m wrong

You are teaching the concept of estimation with multiplication. Some of the students are struggling. Which of the following is the best approach?

Answers

Dont click that link

Ok. Keleiek 2/7=^++^*€€£|€|£|

Answers

What is that??????????????

Answer:

pardon?

Step-by-step explanation:

At noon, it was -18 degrees in Billings, MT. At the same time, it was 42 degrees in Mesa, AZ.

How much warmer was Mesa than Billings at noon?

Answers

Answer:

60℉ Warmer

Step-by-step explanation:

Since it is a negative temperature in Billings, you need to add 18+42 ( The temp in Mesa ) to get 60 because you need to get how much warmer.

Hope that helps

Input(x) Output(y)
32 20
14 2
? -6
-2. -14
-10. ?

complete the function table and write the function rule. show the steps you took to get this answer​

Answers

Answer:

Rule : x subtracted by 12 = y , first ? = 6 (6,-6) , second ? = -22 (-10,-22)

Can someone help me please

Answers

Answer:

Wassup what do you need help with

Tendons are tissues that connect _____________ to bone.
a) ligaments
b) cartilage
c) muscles
d) nerves

Answers

Answer:

c). Muscle

tendons are tissues that connect muscles to bone

hope it helps

Answer:

b

Step-by-step explanation:

Could someone pls help me

Answers

yes 3x-24 except 34 leaves you with 3

answer you get brainliest and POINTS NO FILES

Answers

Answer:

hiii <33

Step-by-step explanation:

1
Find the value of x in the figure below, round answer to the nearest tenth.
38
64°
х

Answers

9514 1404 393

Answer:

  86.7

Step-by-step explanation:

The relevant trig relation is ...

  Cos = Adjacent/Hypotenuse

  cos(64°) = 38/x

  x = 38/cos(64°) ≈ 86.685

The value of x is about 86.7.

What is the period of the following periodic function? to 3 decimal places

y= .5csc(x+9)-6

Answers

Don’t click it please don’t

3
60°
х
x = -
y=--
How to solve

Answers

Answer5

Step-by-step explanation:

Help Plis.......................

Answers

Answer:

C

Step-by-step explanation:

Two negative signs make a positive number. So -(-4) makes 4. I know it sounds weird, but thats what schools teach. Hope this helps!

Haru Ito leased a sedan by
depositing $1,500.00 and
paying $450.00 per month for
39 months, a $145.00 title fee,
and a $99.95 license fee.

Answers

Hv yo high okey yyyyyyy vl hhuu yo HGC. Y cut y y. Ucuu ya gay tttyy4784(6

Combine like terms in order to simplify the
expression below.
15 - 5y - 5 + 3y

Answers

This is the answer I got
10-2y

Find the value for x.

Answers

Answer:

28.5

Step-by-step explanation:

The sum of the interior angles in a triangle is equal to 180

102 + x + 6 + x + 15 = 180

123 + 2x = 180 subtract 123 from both sides

2x = 57 divide both sides by 2

x = 28.5

An account is open with initial deposit of $5500 and earn 2.5% interest compounded annually. What will the account be worth in 10 years

Answers

Answer:

FV= $7,040.46

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $5,500

Number of periods (n)= 10 years

Interest rate (i)= 2.5%

To calculate the future value (FV), we need to use the following formula:

FV= PV*(1 + i)^n

FV= 5,500*(1.025^10)

FV= $7,040.46

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