The hypotenuse of an isosceles right triangle has length 4. How long is each leg?

Answers

Answer 1

Answer:

you know 2 sides are the same on an a silly triangle.. I mean isosceles.. so the hypotenuse will be longer but the other two sides are the same

use [tex]C^{2}[/tex] = [tex]A^{2}[/tex] + [tex]B^{2}[/tex]  ( Pythagoras theorem )

Step-by-step explanation:

[tex]4^{2}[/tex] = [tex]A^{2}[/tex] +[tex]A^{2}[/tex]  ( b/c the side are the same length the can both be called A )

16 = 2[tex]A^{2}[/tex]

8 = [tex]A^{2}[/tex]

[tex]\sqrt{8}[/tex] = A

not a whole number but.. it's still a good answer square root of 8 is about 2.8284 on my calculator


Related Questions


Rational number
between 2 and 3?

Answers

Answer:

it would be 7 and 8

Step-by-step explanation:

Answer:

rational numbers lie between 2 and 3 are infinite there are infintie numbers of rational number which lie between 2 and 3

Find the x-intercept of the graph of the linear equation y = 2x + 4.

Answers

Answer:

The x-intercept is -2

Step-by-step explanation:

Quick question
Select True or False. (1 point)

The expression 4x − 2(5x − 1) is equivalent to the expression 2 + 6x.

True
or
False

Answers

Answer:

False

Step-by-step explanation:

Let us evaluate the problem using the proper order of operation:

           4x − 2(5x − 1)

To solve this problem, we use the order of operation called PEMDAS;

P - Parentheses

E - Exponents

M - Multiplication

D - Division

A - Addition

S - Subtraction

Now, since operations inside the parentheses are of the utmost priority, let us solve this;

             4x − 2(5x − 1)

            = 4x - 10x +2

            = -6x + 2  or 2 - 6x

We see that the solution give is false.

Lorenzo caballero was just hired as an engineer for saxon engineering his starting salary is $57600 annually what is his semimonthly salary

Answers

2,400 is his semimonthly salary

Model the following situation with an equation or inequality statement.

The difference of six and a number is greater than nine.

Answers

6 - x > 9

hope this helps! :):):):)

The mean and standard deviation for number of battery crimes in the U.S. from 1985 to 2000 are X = 326,845 and sx = 27,569. The mean and standard deviation for number of property crimes in the U.S. for the same time period are y = 634,235 and Sy = 42,268. The correlation coefficient is r = 0.92. Find the equation for the least- squares regression line for number of property crimes compared with number of battery crimes.
A: y = 1.41 + 173,214.37x
B: y = 173,214.37 + 1.41x
C: y = 421,052.69 + 0.65x
D: y = 0.65 + 421,052.69x
E: Unable to determine the equation​

Answers

Answer:

The correct answer is: A

Step-by-step explanation:

The value of the slope and intercept is:

=0.92(42268/27569)

=1.410518

a=y-bx

=634235-1.410518×326845

=173214.3716

The eququation for the least-square regression line is:

y=173214.3716 + 1.4105518x

Round to the 2 decimal place:

=173,214.37 +1.41x

The equation for the least squares regression line for number of property crimes compared with number of battery crimes is (b) y = 141x + 173214.37

How to determine the least square regression equation?

The given parameters are:

Mean x, μ = 326,845 Standard deviation of x, σ = 27,569Mean y, μ = 634,235 Standard deviation of y, σ = 42,268Correlation coefficient, r = 0.92

Calculate the slope (m) using:

m = r * Sy/Sx

This gives

m = 0.92 * 42268/27569

Evaluate

m =1.41051761036

Approximate

m = 1.41

The y-intercept (c) is calculated using:

c = μy -m * μx

So, we have:

c = 634235 - 1.41051761036 * 326845

Evaluate

c = 173214.371642

Approximate

c =173214.37

The least-square regression line equation is represented as:

y = mx + c

So, we have:

y = 141x + 173214.37

Hence, the equation for the least squares regression line for number of property crimes compared with number of battery crimes is (b) y = 141x + 173214.37

Read more about least squares regression at:

https://brainly.com/question/14563186

#SPJ2

Two airlines each made 30 flights. The dot plots shown compare
how many minutes the actual arrival times were before or after
the scheduled arrival times of these flights.
Negative numbers represent the minutes the flight arrived before its scheduled time.
Positive numbers represent the minutes the flight arrived after its scheduled time.
Zero indicates the flight arrived at its scheduled time.
Assuming you want to arrive as close to the scheduled time as possible, from which
airline should you buy your ticket? Justify your response by addressing both the
measures of center and spread of the distributions.

Answers

Answer: Airline P since the median is lower and the SDR is lower

Step-by-step explanation:

Is -6 greater than, less than, of equal too -4

Answers

Answer:

-6 in less than -4.

Answer:

-6 less than -4

Step-by-step explanation:

-6 is less because on the number line it will look like it's before -4

Hope this helps!!!

The table shows the balance (in dollars) of a bank account each month for three months. What is the average balance of the account?

Answers

Answer:

$1,126.37

Step-by-step Explanation:

Given:

Account balance for:

Month 1 = $1285.12

Month 2 = $961.36

Month 3 = $1132.63

Required:

Average balance of account

SOLUTION:

Average balance of account = sum of account balance for the 3 months ÷ 3

Average balance of account = [tex] \frac{1285.12 + 961.36 + 1132.63}{3} [/tex]

Average balance of account = [tex] \frac{3,379.11}{3} [/tex]

Average balance of account = [tex] 1,126.37 [/tex]

Answer:

$1,126.37

Step-by-step Explanation:

Given:

Account balance for:

Month 1 = $1285.12

Month 2 = $961.36

Month 3 = $1132.63

Required:

Average balance of account

SOLUTION:

Average balance of account = sum of account balance for the 3 months ÷ 3

Average balance of account =  

Average balance of account =  

Average balance of account =

PLSSS!!!!! HELP ME!!!! I WILL MARK U!!! MATH!!!!!!!!!!!!

Answers

Answer:

48

Step-by-step explanation:

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction

Step 1: Define

bc² - b

b = 2

c = -5

Step 2: Substitute and Evaluate

Substitute: 2(-5)² - 2Exponents: 2(25) - 2Multiply: 50 - 2Subtract: 48

Answer:

48

Step-by-step explanation:

Hello,

[tex]bc^2-b=b(c^2-1)\\ \\\text{So for b = 2 and c = -5} \\\\2\times ((-5)^2-1)=2\times (25-1)=2\times 24 = 48[/tex]

Thanks

Write the next three terms of the sequence:
1, 4, 16, 64,

Answers

1, 4, 16, 64, 256, 1024, 4096.

Answer:

256, 1024, 4096

Step-by-step explanation:

Here, we can see that each term can be represented by [tex]2^{2n}[/tex] where n starts at 0. We can then plug in n=4, 5, and 6 for the next three terms respectively to get the answer above.

How do you write 31 billon in scientific notation

Answers

Answer:

3.10E+10 (3.10 x 10 10)

Step-by-step explanation:

The formula for the volume of a rectangular prism is v=Iwh which is the equivalent equation solved for h

Answers

Answer:

6x^3+39x^2+59x

Step-by-step explanation:

What was the distance from P to n, shown in the figure?

A. -3
B. 1
C. 4
D. 5​

Answers

Answer:

D. 5

Step-by-step explanation:

Assuming 1 box = 1 unit on the coordinate grid, therefore:

Coordinate of point P on the graph = 1

Coordinate of the point at which the ray from point P meets at line n = -4

Distance from P to n = |1 - (-4)|

= |1 + 4|

Distance from P to n = 5 units

The answer is D. 5

Sadie works 5 more hours than Kerry does, and Mark works 2 hours less than Kerry. Together they work 120 hours. How many hours does each person work?

Answers

Answer:

Sadie:44 Kerry:39 mark:37

Step-by-step explanation:

(5+w) + w + (w-2)=120

-5 from both sides

w+w+(w-2)=115

+2 from both sides

w+w+w=117

117/3 = w

A bag had 7 orange rocks , 6 green rock , 1 white rock ,7 black rocks , and 2 yellow you randomly pull a rock from the bag ,keep it out , and then pull out another one .

What is the probability of getting a yellow rock and then a n orange rock ?

Answers

Answer:

[tex]Probability = \frac{7}{253}[/tex]

Step-by-step explanation:

Given

[tex]Orange = 7[/tex]

[tex]Green = 6[/tex]

[tex]White = 1[/tex]

[tex]Black = 7[/tex]

[tex]Yellow = 2[/tex]

Required

Probability of selecting a yellow then orange rock

From the question, we understand that the probability is that of without replacement.

Since the yellow, is first picked.

We need to determine the probability of picking a yellow rock, first.

[tex]P(Yellow) = \frac{n(Yellow)}{Total}[/tex]

[tex]P(Yellow) = \frac{2}{7 + 6 + 1 + 7 + 2}[/tex]

[tex]P(Yellow) = \frac{2}{23}[/tex]

The rock has reduced by 1;

Next is to determine the probability of picking an orange rock

[tex]P(Orange) = \frac{n(Orange)}{Total - 1}[/tex]

[tex]P(Orange) = \frac{7}{7 + 6 + 1 + 7 + 2- 1}[/tex]

[tex]P(Orange) = \frac{7}{22}[/tex]

The required probability is calculated as thus:

[tex]Probability = P(Yellow) * P(Orange)[/tex]

[tex]Probability = \frac{2}{23} * \frac{7}{22}[/tex]

[tex]Probability = \frac{14}{506}[/tex]

[tex]Probability = \frac{7}{253}[/tex]

Jaime’s older brother and his three friends want to split the cost of lunch. They also want to leave a 15%–20% tip. How much should each person pay?

Answers

Answer:

First you have to split the cost of the meal and percentage so

$78.00 divided by 4 that's $19.50 each then after the 20% each would pay $23.40

Each person pay $23.4.

Given, from the fig the total cost of lunch without tip is $78.

Now, Jaime’s older brother and his three friends want to split the cost of lunch between them. So there is total 4 person.

Now each person have to pay [tex]\frac{78}{4} = $ 19.5[/tex]  dollars.

Further they decided to pay tip say 20% so, the amount of tip is 20% of $78.

On calculating amount of tip [tex]=\frac{20}{100} \times 78=15.6[/tex].

Tip is divided among them so per person has to pay tip [tex]=\frac{15.6}{4} =3.9[/tex] dollars.

So, the total amount each person has to pay [tex]=19.5+3.9=23.4[/tex] dollars.

Hence each person pay $23.4.

For more details on conversion follow the link:

https://brainly.com/question/505416

Which of the following gives the area, A, of a circle with a diameter of 6

Answers

The correct answer is A hope this helps you :)))

which segments in the picture are parallel ad and ab, be and gh, bc and hf, hf and de

Answers

Answer:

HF and DE

Step-by-step explanation:

Answer:

hf and de

Step-by-step explanation:

MATH 2 HELP PLEASE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Vertical stretch of 2

Step-by-step explanation:

Since there is no fraction, it wouldn't be a shrink, and there's a negative symbol therefore it would also be a reflection, and it wouldn't translate down because it's not inside parenthesis or the square root, and it would actually translate up three, therefore it's a vertical stretch of two

NEED HELP IM BEGGING YOU PLEASE!!!!!!!!!!!!!

Answers

Answer:

No

Step-by-step explanation:

-3 is supposed to be the answer for b so let's substitute -3 for b.

5(-3)+1=16

-15+1≠16

-15+1 is actually equal to -14

if the -3 would have been positive then it would be correct

In exercise teacher wants each student in her class to have at least 48 ft.² of space on the floor. What is the largest number of student she will allow in a classroom with a student exercise area of this size?

Answers

Answer: D. 50 students

pls give me brainliest.

Step-by-step explanation: First we find the area of the classroom which is worked out below and it is the shape of a rectangle;

Area of a rectangle = Length * Breadth

                               = 60 ft * 40 ft

                               = 2400 ft²

Now to find the number of students that she will allow in the classroom, we have to divide the area of the classroom which is 2400 ft²by the amount of space allocated to each student which will be;

=

= 50

This means she will  allow 50 students into her class.

If PQ = 2.1 and QR = 0.8, what is PR?

Answers

Answer:

2.9

Step-by-step explanation:

If the order is P, Q, R on the number line, add both segments together.

What is the slope of the line shown

Answers

ANSWER

1/2

You can do rise over run and it is 1/2
It’s 1/2 let me know if you need help with anything else

The sports store made $564 from selling pool rafts this week (Monday-Friday). Of that amount, it made $132.56 on Monday and $107.38 on Tuesday. IT made an equal amount of money on Wednesday, Thursday, and Friday. How much money did the store make from selling pool rafts on Friday?

Answers

Answer:

Amount made from selling pool rafts on Friday is equal to $108.02

Step-by-step explanation:

Total amount made from selling pool rafts = $564

Amount made from selling pool rafts on Monday = $132.56

Amount made from selling pool rafts on Tuesday = $107.38

Let amount made on each of the days - Wednesday, Thursday, and Friday be equal to $x.

Therefore,

[tex]132.56+107.38+x+x+x=564\\239.94+3x=564\\3x=564-239.94\\3x=324.06\\x=\frac{324.06}{3}\\ x=$108.02[/tex]

So,

amount made from selling pool rafts on Friday is equal to $108.02

What are the real and imaginary parts of the complex number?

−7+8i



Enter your answers in the boxes.

Answers

Answer: The real part is -7, the imaginary part is 8i

Step-by-step explanation:

Answer: The Real Part: -7

               The imaginary Part: 8i

Step-by-step explanation:

549 divided by 61. Dont round the answer

Answers

Answer:

9

Step-by-step explanation:

Answer: The Answer is 9 i'm really sure this is the answer

If I || m, identify the angle pair as congruent or supplementary.
Justify your reasoning by classifying the angle pair.
Angle Pair
Congruent or
Supplementary?
Classify
10. 21 and 28
11. 25 and 26
12. Z6 and 28
13. 22 and 23
14. 24 and 27
15. 23 and 26

Answers

Answer/Step-by-step explanation:

10. <1 and <8 are congruent.

Reason/classification: alternate exterior angles

11. <5 and <6 are supplementary.

Reason/classification: linear pair

12. <6 and <8 are congruent.

Reason/classification: corresponding angles

13. <2 and <3 are supplementary.

Reason/classification: same side interior angles

14. <4 and <7 are congruent.

Reason/classification: vertical angles

15. <3 and <6 are congruent.

Reason/classification: alternate interior angles

1 pts
Question 2
data allowed
Aaron's cell phone plan includes 3GB of data. On the 21st day of his billing period, Aaron received a message from his service provider that he already used 80% of
for the 31-day period. At this rate, when wil he need to pay for additional data?

Answers

Answer:

He need to On the 26th day of his billing

Step-by-step explanation:

Given:

Amount of data = 3 gb

80% data used in 21 days

Find:

Number of days for additional data

Computation:

Total number of days = 21(100/80)

Total number of days = 26.25 days

He need to On the 26th day of his billing

Hector has $590 in his account. He earned $15 per hour for x hours. Jeremy has $545 in his account. He earned $20 per hour for x hours. They both worked the same number of hours and now have the same amount of money. What is the number of hours that each person worked? Write and solve an equation.

Answers

Answer:

equation = 590 + 15x = 545 + 20x

No. of hours worked = 9

Step-by-step explanation:

Given that both worked for same number of hours

and

Jeremy worked for for x hours

it meant that Hector also worked for x hours(it is also mentioned same in the problem)

now that we know the number of hours worked in form of x

lets find

total money in their account if they worked for x hours

___________________________________________

For Hector

Money in Hector's account = $590

Earning for Hector in 1 hour = $15

Earning for Hector in x hour = x*Earning for Hector in 1 hour = $15x

Total money in with Hector after x hours of work

 = Money in Hector's account + Earning for Hector in x hour = $590 + $15x

Similarly

For Jeremy

Money in Jeremys account = $545

Earning for Jeremy in 1 hour = $20

Earning for Jeremy in x hour = x*Earning for Jeremy in 1 hour = $20x

Total money in with Jeremy after x hours of work

 = Money in Jeremy's account + Earning for Jeremy in x hour = $545 + $20x

Given that they same amount of money

thus

$590 + $15x = $545 + $20x

$sign gets cancelled from both sides

590 + 15x = 545 + 20x  Thus, we got the required equation  

=> 590 - 545 = 20x - 15x

=> 45 = 5x

=> x = 45/5 = 9

Thus, both of them worked for 9 hours

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