What is the relationship between the length of one leg and the length of the hypotenuse of an isosceles right triangles?
A) Leg = Hypotenuse ∙ √2
B) Hypotenuse = Leg ∙ √2
C) Leg ∙ Hypotenuse = √2

Answers

Answer 1

Answer:

B) Hypotenuse = Leg ∙ √2

Step-by-step explanation:

This is a well-known ratio in the 45-45-90 right triangle, but we can derive it.

An isosceles right triangle has two congruent legs forming the right angle and the hypotenuse opposite the right angle. The Pythagorean theorem works since it is a right angle.

Normally, the legs are a and b, and the hypotenuse is c, and we have

a^2 + b^2 = c^2

Here the legs are congruent, so we have a = b.

Substituting a for b, we have

a^2 + a^2 = c^2

2a^2 = c^2

c^2 = 2a^2

c = a√2

Answer: B) Hypotenuse = Leg ∙ √2

Answer 2

Answer:

progably B) Hypotenuse = Leg ∙ √2

Step-by-step explanation:


Related Questions

What is the common difference for this arithmetic sequence?
-6, -1,4,9, 14, ...

A. 5
B. 3
C. 6
D. 4

Answers

the answer would be A. 5 because each time you add 5 hope this helps and make me branliest please(:

Answer:

A. 5

Step-by-step explanation:

-6 + 5 = -1

-1 + 5 = 4

4 + 5 = 9

9 + 5 = 14

I need help with this problem ​

Answers

c,d hope it helped





I wrote this because 20 word rule

Solve the problem.
A dress regularly sells for $135. The sale price is $93. Find the percent decrease of the sale price from the regular
price.
31.1%
221.4%
45.2%
68.9%

Answers

Answer:

32% Decrease

Step-by-step explanation:

93 = x * 135 (divide both sides by 135 to get X alone.)

x=0.68 - Repeated (This tells us that it was paid 68% of the OG price.)

1 - 0.68 = 0.32 (We need to subtract the percent  paid from the OG price to find the percent discount.)

The percent decrease was 32% off.

None of your answer choices are right!

The following list gives the number of siblings for each of 8 students. 3, 4, 2, 1, 2, 0, 3, 0 Find the modes of this data set. If there is more than one mode, write them separated by commas. If there is no mode, click on "No mode."​

Answers

Answer:

3, 2, 0

Step-by-step explanation:

There are three modes, all numbers have at least two appearances.

Please give thanks by clicking the heart! I solved your other problem too :)

What is the degree of 24x?

Answers

Answer:

one

Step-by-step explanation:

eighteen 2.5 gallon buckets are needed to fill a cistern with water. how many 3 gallon buckets of water would gill the cistern?

PLEASE ANSWER I WILL MARK BRAINLIEST!

Answers

The answer is 45 I believe.

Answer:

15

Step-by-step explanation:

45÷3

This is the correct awnser

what is 344.7234 to 1 decimal point​

Answers

Answer: 344.7

Explanation:

344.7∣234

  (Cut ^off point at the line)

The digit to the right of the cut of the point is less than 5. So the digit to its left (the 7) is not changed and all those to the right are changed to 0 gives you:

344.7000

Written as 344.7

Hope this helps and hope you have a wonderful day :)

What is the equation in slope-intercept form of a line that is perpendicular
to y = 1/3x +2 and passes through the point (3, 1)?

Answers

Y=-3x+2 here is the answer

Please help me thank you

Answers

Answer:

90

Step-by-step explanation:

90

10. What is the area of a triangle with base 4cm and
height 8cm?
A. 6cm2 B. 9cm2 C. 14cm D. 16 cm

Answers

Step-by-step explanation:

Area of triangle = 0.5(4)(8) = 16cm² (D).

Can I get him with all the questions please?

Answers

Answer:

[tex]14.16\\15. a) 14[/tex]

Step-by-step explanation:

[tex]14. We\ are\ given\ that,\\The\ assumed\ number\ x\ is\ 4\ more\ than\ 12\\Hence,\\x=4+12\\x=16\\Lets\ see\ that\ x=16\ as\ a\ solution,\ matches\ with\ the\ other\ information\ provided.\\We\ are\ also\ given\ that,\\x<20, 16\ is\ less\ than\ 20\ too.\\x>13, 16\ is\ greater\ than\ 13\ too.\\x<17, 16\ is\ less\ than\ 17\ too.\\As\ all\ the\ conditions\ are\ satisfied,\ x=16\ as\ a\ solution\ is\ verified.\\[/tex]

[tex]15. a)\\Let\ the\ assumed\ no.\ be\ y\\Here,\ we\ are\ given\ the\ following\ information\ about\ y:\\y>10,\\y<20\\y>12\\y<15\\Hence,\\The\ number\ y\ lies\ in\ between\ 12-15.\\Hence,\\y\ could\ either\ be\ 13,14.\ But\ the\ phrase\ 'Of\ the\ numbers\ are\ left\\ I\ am\ the\ greater\ number', tells\ us\ that,\ y\ is\ the\ greater\ no.\ among\ 13\ and\ 14.\\Hence\ as\ 14>13,\\y=14[/tex]

i need help with this one (T_T)​

Answers

I think it’s the 3 I’m not sure

Which of the following is equal to 16.4 ?
O A. 32
O B. V16.4
O c.
D. 64

Answers

Answer:

b?

Step-by-step explanation:

b= v16.4

-4x+3y=-2
y=x-1

x=
y=

Answers

Answer:

Easy thankyou for coming to me your answer is x= -1 and y=-2

Step-by-step explanation:

Hope that help.

Answer:

Step-by-step explanation:

here you go mate'

step 1

-4x+3y=-2,y=x-1  equation

step 2

y=x-1;-4x+3y=-2  rewrite the equation

step 3

y=x-1  1st equation

step 4

-4x+3y=-2  saubstitute

-4x+3(x-1)=-2

-x-3=-2

step 5

-x-3=-2  simplify by adding 3 to both sides

-x=1

step 6

-x/-1=1/-1  divide

x=-1

second equation

step 1

y=x-1  substitute

y=-1-1

step 2

y=-1-1 simplify

y=-2

answer

x=-1 and y=-2

Rewrite the equation 8r+62 - 7 = 2 in standard form and Identify a, b, and c



Answers

Answer:

a = 0

b = 8

c = 53

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Standard Form: ax² + bx + c = 0

Step-by-step explanation:

Step 1: Define

8r + 62 - 7 = 2

Step 2: Rewrite

Add:                                        8r + 55 = 2Subtract 2 on both sides:      8r + 53 = 0

Step 3: Identify Variables

a = 0

b = 8

c = 53


At ShopRite, chicken sells for $3.75 per pound. How much would it cost to buy 2.25 pounds of chicken?

Answers

Answer: 8.4375 U.S. dollars2

Step-by-step explanation:

Answer:

$8.44

Step-by-step explanation:

From the question it self we know that 1 pound of chicken costs $3.75. In order to solve this question we just need to find out how much 1 pound does fit into 2.25 pounds and then multiple the result by $3.75. We can find that out by dividing 2.25 by 1, and we get 2.25. Then we do the following....

2.25 x $3.75 = $8.4375

We got $8.4375 as an answer but we have to remember that when we are talking about money and we have to round to the nearest cent (which is equal to 1 hundredth of a dollar). So now we just have to round to the nearest hundredth, and we get $8.44 as our answer.

85 POINT QUESTION!!! What is the equation of this trend line? Enter your answers by filling in the boxes. K = J + Scatter plot on a first quadrant coordinate grid. The horizontal axis is labeled Variable J. The vertical axis is labeled Variable K. Points are plotted at begin ordered pair 2 comma 16 end ordered pair, begin ordered pair 2 comma 24 end ordered pair, begin ordered pair 4 comma 16 end ordered pair, begin ordered pair 4 comma 20 end ordered pair, begin ordered pair 5 and 93 hundredths comma 9 and 62 hundredths end ordered pair, begin ordered pair six comma 12 end ordered pair, begin ordered pair 6 comma 16 end ordered pairm beign ordered pair 10 comma 2 end ordered pair, begin ordered pair 10 comma 8 end ordere dpair. A line is drawn through begin ordered pair 2 comma 24 end ordered pair, begin ordered pair 4 comma 20 end ordered pair, begin ordered pair 6 comma 16 end ordered pair, and begin ordered pair 10 comma 8 end ordered pair.

Answers

The answer for this question would be K=-2J+28. I hoped I helped!

Answer:

K=-2J+28

Step-by-step explanation:

i took the k 12 test

One way to find the total cost of a jacket for $55 with a sales tax of 2%

Answers

Answer:

cost of jacket 55

sales tax 2/

55/ 2 percent × 100

2,750

b) Another brand of sheets is on sale 30% off with a regular price of $18.00 per sheet. Which is a better deal, the previous example or this one? Explain. (2 points)

30% OFF EACH SHEET!

30% OFF EACH SHEET!

Answers

Answer:

30= 20 so, that’s 10 dollars of

                                            1o+ 7. 5=17. 5+10=27 .50

Step-by-step explanation:

I took the test hope this helps

The right rectangular prism below has a square base?Select yes or no.

Answers

Answer:

no

Step-by-step explanation:

if it's a prism then it wont have a square bottom

Type the correct answer in each box. Use numerals instead of words.
Renee and David plan to file taxes as married filing jointly. They have a combined taxable income of $51,325. Use the table to determine the amount of tax due, and calculate their effective tax rate, rounding to the nearest tenth.

Answers

Answer:

the answer is 6766 and the percent is 13.2

Step-by-step explanation:

100 on the plato test

Please only correct answer

Answers

Answer:

second vala hai correct Answer

Answer:

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

Sales of video games and consoles fell from $1.15million to $1.03 million in 1 year. Find the percent decrease. Round the answer to the nearest tenth of a percent.

Answers

Answer:

Percent decrease = 10.43% (Approx)

Step-by-step explanation:

Given:

Old price = $1.15 million

New price = $1.03 million

Find:

Percent decrease

Computation:

Percent decrease = [(Old price - new price)/Old price]100

Percent decrease = [($1.15 million - $1.03 million)/$1.15 million]100

Percent decrease = [($0.12 million)/$1.15 million]100

Percent decrease = 10.43% (Approx)

In 2000, in order to reduce the unemployment rate, France mandated all employers with 20 or more employees to reduce the workweek to 35 hours. Prior to the new law, the unemployment rate in France was 12%. In a random sample of 500 French workers taken a few years after the new law went into effect, 53 workers were found to be unemployed. Using the p-value method, conduct a hypothesis test to determine if the French unemployment rate dropped after the enactment of the 35- hour workweek law. Assume the significance level as 0.05. (7 Points)

Answers

Answer:

We accept H₀ for a CI = 95 % we din´t find differences in the unemployment level

Step-by-step explanation:

p₀  = 12 %     p₀  = 0,12

From sample  p = 53/500     p = 0,106

Test Hypothesis

Null Hypothesis                                      H₀                       p = p₀

Alternative Hypothesis                         Hₐ                       p < p₀

p₀*n  = 0,12*500 = 60

q₀ * n = 0,88 * 500 = 440

Then the binomial distribution can be approximate to a normal distribution

The significance level  α = 0,05     CI = 95 %

We need to develop a one-tail test (to the left ) find p-value and compare it with α.

p(s) = ( p - p₀ ) / √ p*q /n

p(s) = 0,106 - 0,12 / √(0,12)*(0,88)/500

p(s) = - 0,014 / 0,015

p(s) = - 0,93

With this P score we find the area under the bell shape curve

p-value = 0,1762 and compare that area with α = 0,05

Then p-value > 0,05

Therefore we accept H₀

Belleville High School offers classes on three different foreign languages. Let A be the event that a student is in eleventh grade, and let B be the event that a student is enrolled in French class. A 5-column table has 4 rows. The first column has entries Tenth grade, eleventh grade, twelfth grade, total. The second column is labeled Spanish with entries 107, 56, 89, 252. The third column is labeled French with entries 122, 68, 82, 272. The fourth column is labeled German with entries 6, 14, 8, 28. The fifth column is labeled Total with entries 235, 138, 179, 552. Which statement is true about whether A and B are independent events? A and B are independent events because P(A∣B) = P(A). A and B are independent events because P(A∣B) = P(B). A and B are not independent events because P(A∣B) ≠ P(A). A and B are not independent events because P(A∣B) ≠ P(B).

Answers

Answer:

A) A and B are independent events because P(A∣B) = P(A).

Step-by-step explanation:

Egde 2020

Answer: OPTION A

Step-by-step explanation:

Noah picked 3 kilograms of cherries. Mai picked half as many cherries as Noah. How many total kilograms of cherries die Mia and Noah pick together? Group of answer choices LaTeX: 3+\frac{1}{2}3 + 1 2 LaTeX: 3-\frac{1}{2}3 − 1 2 LaTeX: \left(1+\frac{1}{2}\right)\cdot3( 1 + 1 2 ) ⋅ 3 LaTeX: 1+\frac{1}{2}\cdot3

Answers

it would be 4.5 total

Answer:

4.5 or 4 1/2. Based on the given conditions, formulate: 3 + 3 / 2 Find common denominator and write the numerators

Step-by-step explanation:

MARK A BRAIN LESS

CARRY ON LEARNING

BRAIN LY FAST

Marita always listen to her favourite radio station when she drives her car
Everymoarning she listen to her radio

Answers

Where’s the question?

00:00
What is the number of terms in this expression?

m
5
+4x6
5
Enter your answer in the box.

Answers

Answer:

40

Step-by-step explanation:

what is the value of tan(arccos(-sqrt2/2)

Answers

Answer:

i think is -1 because the value is -1

Answer:

D. -1

Step-by-step explanation:

ed2021

2.85 tons when rounded to the nearest hundreds

Answers

Answer:

0

Step-by-step explanation:

The answer is 2.85! The hundredths place is the 5 so you would just keep it the same! If you are rounding to the tenth then it would be 2.9 since the hundredths place is greater or equal to 5!
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