An isosceles right triangle has legs of equal length. If the
hypotenuse is 10 centimeters long, find the length of each leg.

Answers

Answer 1

Answer:

[tex] \displaystyle 5\sqrt{2}[/tex]

Step-by-step explanation:

we have a right angle isosceles triangle

in order to figure out the length of each leg we can consider Pythagoras theorem given by

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

remember that,

isosceles triangle has two equal legs so a=b and given that the the hypotenuse is 10

substitute:

[tex] \displaystyle {a}^{2} + {a}^{2} = {10}^{2} [/tex]

simplify addition:

[tex] \displaystyle {2a}^{2}= 100[/tex]

simplify square:

divide both sides by 2:

[tex] \displaystyle {a}^{2}= 50[/tex]

square root both sides:

[tex] \displaystyle {a}^{}= \sqrt{50}[/tex]

[tex] \displaystyle {a}^{}= 5\sqrt{2}[/tex]

hence,

the length of each leg is 52


Related Questions

is it just me or is anyone else getting less and less answers here like everyone just puts like “don’t know haha” or like a link it’s annoying

Answers

Answer:

Don't know hahaahahahaahahah

Answer:

I FEEL! ITS SO ANNOYING. I just need help

Step-by-step explanation:

PLEASE HELP ASAP ASAP URGENT WILL GIVE BRAINLIEST

Answers

Answer:

for the solve and check:

[tex]2\frac{3}{8}+x=3\frac{1}{4} \\2\frac{3}{8}-2\frac{3}{8}+x=3\frac{1}{4}-2\frac{3}{8}\\\\x=3\frac{1}{4}-2\frac{3}{8}\\\\\\x=\frac{7}{8}[/tex]

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

[tex]3\frac{3}{8}+x=4\frac{1}{4} \\3\frac{3}{8}-3\frac{3}{8}+x=4\frac{1}{4}-3\frac{3}{8}\\\\x=4\frac{1}{4}-3\frac{3}{8}\\\\\\x=\frac{7}{8}[/tex]

for the second solve and check:

[tex]4\frac{3}{8}+x=5\frac{1}{4} \\4\frac{3}{8}-4\frac{3}{8}+x=5\frac{1}{4}-4\frac{3}{8}\\\\x=5\frac{1}{4}-4\frac{3}{8}\\\\\\x=\frac{7}{8}[/tex]

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

[tex]5\frac{3}{8}+x=6\frac{1}{4} \\5\frac{3}{8}-5\frac{3}{8}+x=6\frac{1}{4}-5\frac{3}{8}\\\\x=6\frac{1}{4}-5\frac{3}{8}\\\\\\x=\frac{7}{8}[/tex]

Answer:

Step-by-step explanation:

Green picture

x = 2.25 ft = 2 1/4 ft

we substitute 2 1/4 for x

x = 2 1/4 ft

3 3/4 ft + 2 1/4 ft  = 6 ft

6 ft = 6 ft

Since 6ft is equal to 6ft...

Blue picture

It is 2 1/4 ft long

we substitute 7/8 ft for x

since 2 1/4 ft is equal ...

Yellow picture

2 3/8 ft - 2 3/8 ft + x = 3 1/4 ft - 2 3/8 ft

x = 3 1/4 ft - 2 3/8 ft

x = 7/8 ft

Check

x = 7/8 ft

2 3/8 ft + 7/8 ft = 3 1/4 ft

3 3/8 ft - 3 3/8 ft + x = 4 1/4 ft - 3 3/8 ft

x= 4 1/4 ft - 3 3/8 ft

x = 7/8 ft

check

x = 7/8 ft

3 3/8 ft + 7/8 ft = 4 1/4 ft

red picture

4 3/8 ft - 4 3/8 ft + x = 5 1/4 ft - 4 3/8 ft

x = 5 1/4 ft - 4 3/8 ft

x = 7/8 ft

check

x = 7/8 ft

4 3/8 ft + 7/8 ft = 5 1/4 ft

Determine the area of the parallelogram below


-No links, docs, files or anything along that line
-lots of points
-will mark BRAINLYEST ​

Answers

Answer:

[tex]44.4 {m}^{2} [/tex]

Step-by-step explanation:

Given,

Base of the parallelogram = 12m

Height of the parallelogram = 3.7m

Therefore,

Area of the parallelogram = base × height

= 12m × 3.7m

[tex] = 44.4 {m}^{2} (ans)[/tex]

Please look at the image

Answers

Answer:

value for X

3x-4 =41

3x =41+4

3x =45

x =15

Adam is a golfer who thinks that his drives have an average length of more than 200\text{ m}200 m200, start text, space, m, end text. He decided to test \text{H}_0: \mu=200\text{ m}H 0 ​ :μ=200 mstart text, H, end text, start subscript, 0, end subscript, colon, mu, equals, 200, start text, space, m, end text versus \text{H}_\text{a}:\mu>200\text{ m}H a ​ :μ>200 mstart text, H, end text, start subscript, start text, a, end text, end subscript, colon, mu, is greater than, 200, start text, space, m, end text using a sample of 494949 drives. His sample mean distance was 208\text{ m}208 m208, start text, space, m, end text and his sample standard deviation was 25\text{ m}25 m25, start text, space, m, end text. Adam wants to use these sample data to conduct a ttt test on the mean. Assume that all conditions for inference have been met.

Answers

Answer:

t=2.24 for khan

Step-by-step explanation:

The test statistic for the Adam's test is 2.24.

What is Test Statistic?

Test statistic is a value calculated from a statistical test of hypothesis. It describes the closeness of the observed data with the expected distribution under the null hypothesis.

The formula to find the test statistic is,

t = (x - μ) / (s / √n)

Here x is the sample mean, μ is the population mean, s is the standard deviation and n is the sample size.

Given,

x = 208, μ = 200, s = 25 and n = 49

Substituting the values,

t = (208 - 200) / (25 / √49)

 = (8 × 7) / 25

 = 2.24

Hence the test statistic is 2.24.

Learn more about test Statistic here :

https://brainly.com/question/14128303

#SPJ3

Name the circle part L shown in the figure.

O Arc
O Sector
O chord
O radius

Answers

Answer:

Step-by-step explanation:

The equation below describes a circle. What are the coordinates of the center
of the circle?
(x+ 5)2 + (y + 7)2 = 212

Answers

Answer:Center =(-5,-7)

Step-by-step explanation:

Find the limit of the function algebraically lim (x^2 -36 / x+6 ) x ->6

Answers

9514 1404 393

Answer:

  0

Step-by-step explanation:

The function is defined everywhere except at x=-6. The limit value is the function value at that point.

  f(6) = (6^2 -36)/(6 +6) = 0/12 = 0

The limit of the function is 0 as x → 6.

Answer:

A. -1/12

Step-by-step explanation:

This is the correct answer.

Degree and Radian Measures

Convert the angle to radians. Leave as a multiple of /pi (π)
610°

a. 61/pi/36
b. 25/pi/18
c. 61/pi/18
d. 61/pi/9

Please select from the best choices provided

Answers

Answer:

C. 61/pi/18

Step-by-step explanation:

I calculated logically

help please this is frinckin hard

Answers

Answer:

Hello! answer: r = 7

Step-by-step explanation:

Hi im sorry I will try to explain this the simplest way possible! so all of this will add up to 180 we know 1 angle is 55 and the 1 that isnt labelled is 90 because its a complementary angle leta add those and subtract so we can figure out what our last angle will have to equal so... 55 + 90 = 145

180 - 145 = 35 so now we know the last angle will have to equal 35 r is just a place holder its just representing something multiplied by 6 subtracted by 7 will equal 35 so...

6 × 7 = 42 and 42 - 7 = 35 So 7 is r!! Hope that helps!

Divide £9 in the ratio 2 : 1

Answers

Answer:

Step-by-step explanation:

pls answer this for meee

Answers

Answer:

x=35 degrees

Step-by-step explanation:

Since the other side is 90 degrees you would have to add 55 degrees + 35 degrees in order to get 90 degrees for both sides.

Answer:

35°

Step-by-step explanation:

its perpedicular so it adds up to 90°, therefore 90-55=x and x =35

A random sample of the students at two high schools were asked whether they were satisfied or unsatisfied with their school's variety of
extracurricular activities. The results are summarized in the table.
Satisfied Unsatisfied Total
37
23
60
High School A
High School B
Total
42
18
60
79
41
120
What is the approximate probability that a randomly selected student is satisfied with his or her school's variety of extracurricular activities?
O A. 0.308
OB. 0.468
O c. 0.617
OD. 0.658
O E 0.790

Answers

Answer: D. 0.658

Step-by-step explanation:

A randomly selected student would be from either of the high schools so both high schools need to be taken into account.

The probability that a randomly selected student is satisfied with his or her school's variety of extracurricular activities can be calculated as:

= Number of students from both high schools that are satisfied / Total number of students in both high schools

= 79 / 120

= 0.658

Application
Your family has a cable television package that costs $50 per month. Movies On-Demand
cost $5 each. Your family budgets $65 each month to spend on cable television costs.
Write and solve an inequality to determine the possible numbers of On-Demand movies
that your family can afford each month.
Inequality: 1
COD
>
s
>
<
>
DOO
Solution:

Answers

65=5x+50
15=5x
3=x
x ≤.3

What is a decimal? A decimal is a type of fraction in which:

Possible answers:
A. The numerator is always 100
B. The denominator is always 100
C. Denominator is a power of 10
D. Numerator is a power of 10

Answers

Answer:

C. Denominator is a power of 10

Step-by-step explanation:

5. ¿Cuál es el resultado de simplificar a su minima expresión el siguiente
polinomio?:
2
3 3*
xy2 + 2x + 3xy2 + {x?y=5x

Answers

Answer:

El polinomio final es:

[tex]=x(\frac{1}{3}y^{2}-3+\frac{2}{3}xy)[/tex]

Step-by-step explanation:

Agrupemos los términos con las mismas variables:

[tex](\frac{2}{3}xy^{2}-\frac{1}{3}xy^{2})+(2x-5x)+\frac{2}{3}x^{2}y=[/tex]

Sumemos estos terminos:

[tex]=\frac{1}{3}xy^{2}-3x+\frac{2}{3}x^{2}y=[/tex]

Podemos ver que los tres terminos tienen x, asi que podemos factorizar x.

Por lo tanto el polinomio final es:

[tex]=x(\frac{1}{3}y^{2}-3+\frac{2}{3}xy)[/tex]

Espero te haya servido.

El resultado de simplificar  [tex]\frac{2}{3}xy^2+2x-\frac{1}{3}xy^2+\frac{2}{3}x^2y-5x[/tex] es

[tex](\frac{1}{3}y^2+\frac{2}{3}xy-3)x[/tex]

El polinomio que queremos simplificar es

[tex]\frac{2}{3}xy^2+2x-\frac{1}{3}xy^2+\frac{2}{3}x^2y-5x[/tex]

primero, recopilamos términos similares

[tex]\frac{2}{3}xy^2-\frac{1}{3}xy^2+\frac{2}{3}x^2y+2x-5x[/tex]

luego simplificamos los términos similares. Es decir

Para el [tex]xy^2[/tex] términos:

[tex]\frac{2}{3}xy^2-\frac{1}{3}xy^2=(\frac{2}{3}-\frac{1}{3})xy^2\\\\=(\frac{1}{3})xy^2=\frac{1}{3}xy^2[/tex]

y para el [tex]x[/tex] términos:

[tex]2x-5x=(2-5)x\\=(-3)x=-3x[/tex]

la [tex]x^2y[/tex] términos ya está simplificado. Así que déjalo así.

Este es el trabajo total:

[tex]\frac{2}{3}xy^2-\frac{1}{3}xy^2+\frac{2}{3}x^2y+2x-5x\\\\=(\frac{2}{3}-\frac{1}{3})xy^2+\frac{2}{3}x^2y+(2-5)x\\\\=(\frac{1}{3})xy^2+\frac{2}{3}x^2y+(-3)x\\\\=\frac{1}{3}xy^2+\frac{2}{3}x^2y-3x[/tex]

Incluso podemos factorizar la respuesta final para obtener

[tex](\frac{1}{3}y^2+\frac{2}{3}xy-3)x[/tex]

Obtenga más información sobre la simplificación aquí: https://brainly.com/question/25014973

Please help. Will give brainliest

Answers

Answer:

use [tex]y^{2}[/tex]~[tex]mx_{1}[/tex]+b to answer your question

Step-by-step explanation:

Select the correct answer
Which dot plot represents this data set?
31, 35, 38, 31, 32, 38, 37, 39, 31, 35, 32, 38
ОА.
....
..
...
:
.
х
31
32 33
34
35 36
37
38
39
OB.
...
.
32
33
34
35
36
37
38
Ос.
:
...
31
32
33
35
36
37
38
39
D.
...
..
...
.
31
32
33
34
38
29
О Е.

Answers

Answer is C
Step by step exploration

The correct dot plot represents this data set is shown in figure C.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The data set is,

31, 35, 38, 31, 32, 38, 37, 39, 31, 35, 32, 38

Now, From data set;

31 is repeated by 3 times

32 is repeated by 2 times

35 is repeated by 2 times

37 is repeated by 1 times

38 is repeated by 3 times

Hence, The correct dot plot represents this data set is shown in figure C.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ7

Last week Jovanna ran 30 miles more than Rachel. Jovanna ran
47 miles. How many miles did
Rachel run?
A. 30 + x = 47

B. 30 - x = 47

C. 47 + x = 30

D. 47x = 30

Answers

Answer: A

Step-by-step explanation:

if rachel is 'x' and jovanna ran 30 more miles than her, then jovanna ran 30+x miles

we know that jovanna ran 47 miles so we set both values equal to each other

30 + x = 47

which is option A :))

Two gamblers, call them Gambler A and Gambler B flip a coin repeatedly. The coin is unfair and comes up heads 2/3 of the time. Gambler A wins one dollar from Gambler B, when a head is tossed. Conversely Gambler B wins one dollar from Gambler A when a tail is tossed. The coin tosses are independent. The game ends when one of the gamblers runs out of money. There are 5 dollars in the pot. Determine the probability that Gambler A wins the game if he starts with I dollars. Here I

Answers

Answer:

≈ 0.52

Step-by-step explanation:

P( head ) = 2/3 , P( tail ) = 1/3

when a head is tossed ; Gambler A wins $1

when a tail is tossed : Gambler B wins $1

Determine the P( Gambler A wins the game ) if he starts with I dollars

Assuming I = $1

n = 5

p ( head ) = P( winning ) = 0.66

p( losing ) = 0.33

applying the conditional probability in Markov which is ;

Pₓ = pPₓ₊₁ + (1 - p) Pₓ₋₁

P( 1) = 0.66P₂ + 0.33P₀

resolving the above using with Markov probability

P( 1 ) = 0.51613

hence the probability of Gambler A winning the game if he starts with $1

≈ 0.52

Ill give brainliest to first person to answer CORRECTLY! I don't have all day.

34 + 2 ⋅ 5 = ____

Answers

Answer:

180

Step-by-step explanation:

34+2=

36

36 . 5=

180

Answer:

44

Step-by-step explanation:

2x5=10

10+34=44

hope this helped :3

Solve for x. Would like if both could be answered if not just answer one.

Answers

328 is the answer sir
328 is the best answer to this question!!

Can’t really put it in typeing form so just look at the picture ö

Answers

Answer:

5 cups is greater then 32 fl oz

Step-by-step explanation:

First, we change fl oz to cups, for it is easier to do.

Next, when we change 32 fl oz, it is going to be

32 fl oz=4 cups

Last, it is obvious that 5 cups is greater than 32 fl oz.

32 fl oz< 5 cups

This is correct!

Please mark me brainliest and have a  nice day! :)

Question Hannah wanted to investigate whether there was a difference in the time spent in the checkout line between two grocery stores in a large city. She went to Grocery Store J on a Monday morning and recorded the time, in minutes, it took 30 customers to go through a checkout line. Then she went to Grocery Store K on Monday afternoon and recorded the time it took 30 customers to go through a checkout line. Hannah calculated the mean number of minutes for the customers in each line. She intends to conduct a two-sample t-test for a difference in means between the two stores. Have all conditions for inference been met?

Answers

Answer:

Yes. All the conditions for inference have been met.

Step-by-step explanation:

The conditions for inference are:

a) The sample must be random.  The selections of the 30 customers in each Grocery Store were not biased in any way.

b) The sampling distribution must be approximately normal.

c) The observations of the samples were independent.

d) Adequate of sample size.  30 customers represent an adequate sample

e) The variances are not known as they were disclosed in this case.

Find the area of each figure. Round to nearest tenths

Answers

35 ft if I’m not mistaken you

I am a 2-digit number greater than 50. One of my
factors is 8 and I, myself, am a factor of 360. The
difference between my digits is 5.
What number am I?

Answers

Answer:72

Step-by-step explanation: greater than 50 ( 8x9=72 ) And 72 is a factor of 360, difference between my digits is 5 (72x5=360)


a) What fraction is equal to 50% of
1/3
?
b) What fraction is equal to 75% of 1
?

Answers

For letter a the fraction is 1/3 which is equal to 1/6 and 75% of 1 is 3/4

The length of a rectangle is 2 yards longer than its width. If the perimeter of the rectangle is 64 yards, find its length and width.

Answers

Answer:

Length: 17 yards

Width: 15 yards

Step-by-step explanation:

If the length is 2 yards longer than the width, then the width is w, and the length is w+2

Equation for perimeter is [tex]P =2l+2w[/tex], where:

P = Perimeter

l = length

w = width

Plug in the values:

64 = 2(w+2) + 2w

Distribute:

64 = 2w + 4 + 2w

Combine like terms:

64 = 4w + 4

Subtract 4 from both sides:

60 = 4w

Divide 4 from both sides:

15 = w

So if w = 15, then

Width = w, which is 15 yards.

Length = w+2, which is 15+2 = 17 yards.

Hope this answer helped! :)

Pls help :( (ik i keep asking questions lol)

Answers

Answer:

3.5 fluid ounces

Step-by-step explanation:

1/3 * π * r^2 * h

substitute

V = 1/3 * 3.14 * 1.35^2 * 3.3 = 6.3 cubic inch

1 fluid ounce = 1.8 cubic inch

x fluid ounce = 6.3 cubic inch

x = 6.3/1.8

x = 3.5 fluid ounces

Answer:

Step-by-step explanation:

The volume of a circular cone is 1/3*pi*r^2*h

So,

1/3*3.14*1.35^2*3.3=6.3in^3

6.3in^3 * 1floz/1.8in^3= 3.5fl oz

Plsss help. giving extra points if correct.

Answers

Answer:

98?

Step-by-step explanation:

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