For the following right triangle, find the side length x

For The Following Right Triangle, Find The Side Length X

Answers

Answer 1

X=10

Use Pythagorean theorem

A squared + b squared = x squared

X is the hypotenuse so use x squared = 8 squared + 6 squared

So x squared = 64+36

square root x = 100

Then square root 100 to get

X = 10

<3

Answer 2

The length of the hypotenuse in the right triangle with side lengths of 6 and 8 units is 10 units.

Let's consider a right triangle with side lengths of 6 units and 8 units. We'll label these sides as 'a' and 'b', respectively, and we need to find the length of the hypotenuse, which we'll denote as 'c'.

According to the Pythagorean Theorem, the relationship between the sides of a right triangle can be expressed as:

c² = a² + b²

Now, we can substitute the given side lengths into the formula:

c² = 6² + 8²

c² = 36 + 64

c² = 100

To find the value of 'c', we take the square root of both sides of the equation:

c = √100

c = 10

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Related Questions

You randomly draw a marble out of a bag that contains 20 total marbles. 12
What is P (draw a blue marble)?
If necessary, round your answer to 2 decimal places.

Answers

Answer:

The probability of drawing a blue marble is 1 IN 4

Step-by-step explanation:

What is the volume of the right rectangular prism with a length of 2 millimeters, a width of 4 millimeters, and a height of 8 millimeters?

Answers

Answer:

8

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

2 times 4 times 8 = 64

What is the maximum height the cricket reaches? Round to the nearest thousandth.

Answers

Answer:

3.063

Step-by-step explanation:

Answer: 3.063

Step-by-step explanation:

Thomas wants To find out which sport the entire 8th grade cloth on his school likes best

Answers

Answer:

Ok what are his options?

Step-by-step explanation:

Answer:

Ping Pong

Step-by-step explanation:

dunno

Determine the slope of the line below.

A. -3 B. 3 C. 1/3 D. -1/3

Answers

The answer is c. 1/3
The answer is C. 1/3

oel biked 9 miles east and then 12 miles north. If he biked back to his starting point using the most direct route, how many miles would he ride all together?

Answers

Answer:

36 miles

Step-by-step explanation:

(Imagine a huge triangle on a perfectly open space-- not with streets or houses or cornfields.)

The dimensions of the two sides given are multiples of a classic Pythagorean Triple: 3, 4, 5.    [tex]3^{2} + 4^{2} = 5^{2}[/tex]  

9 is 3x3, 12 is 3x4 so the remaining side would be 3x5  15

Add those 3 sides to get the total distance, 36 miles.

Answer:

36

Step-by-step explanation:

Art and PE

--------- Art No Art Total
PE A B C
No PE D E F
Total G H J

300 students in a middle school take Art, and 250 of those students also take PE. There are 250 students who do not take Art but do take PE. 125 students take neither Art nor PE. If you were to complete the two-way table shown here, which value would go in position D?

A) 50
B) 75
C) 100
D) 125

Answers

Answer:

A) 50

Step-by-step explanation:

D: Art & No PE

Art - Art&PE

300 - 250

50

Answer:

Answer is 50

Step-by-step explanation:

I just did the test on usatestprep

Can someone help me out

Answers

Answer:

m= -5/8

Step-by-step explanation:

Slope of a line containing the points,

[tex] \frac{y2 - y1}{x2 - x1} = m[/tex]

where, m is the slope

Here,

[tex]m = \frac{7 - 2}{4 - 12} = \frac{ 5}{ - 8} = \frac{ - 5}{8} [/tex]

The answer is M= -5/8

Jane is training for a triathlon. After swimming a few laps, she leaves the health club and bikes 24 miles south. She then runs 10 miles west. Her trainer bikes from the health club to meet jane at the end of her run. How much farther does jane travel than her trainer?

Answers

Answer:

26 miles farther from her trainer

Step-by-step explanation:

She starts her journey at health club,

Ran 24 miles south and then 10 miles west.

The distance between her end point and her trainer who was at health club can be calculated using pythagorean theorem.

X² = y² + z²

X = her end point

Z = distance between health club 24 miles south. = 24miles

Y = 10 miles distance from the 24 miles south. = 10 miles.

(See attachment for better illustration.)

X² = 24² + 10²

X² = 576 + 100

X² = 676

X = √(676)

X = 26 miles

Jane was 26 miles farther from her trainer

PLEASE HELP!!!!!!
Look at the figure. Find the value of x.


A.) 90


B.) 30


C.) 15


D.) 45

Answers

That is an isosceles triangle, therefore the missing angles equal each other.
The equation to find the value of x is...

3x = 5x - 30
-2x = -30
X = 15

i need help with this question asap pleaseeeeee

Answers

Answer:

y = 3[tex]\sqrt{7}[/tex]

Step-by-step explanation:

The two inner right triangles are similar, thus the ratios of corresponding sides are equal, that is

[tex]\frac{y}{9}[/tex] = [tex]\frac{7}{y}[/tex] ( cross- multiply )

y² = 63 ( take the square root of both sides )

y = [tex]\sqrt{63}[/tex] = [tex]\sqrt{9(7)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{7}[/tex] = 3[tex]\sqrt{7}[/tex]

You can use the pythagorian theorem here:
The corner on the top side is 90 degrees too. So that means (9+7)^2 = A^2 + B^2. The two triangles against each other are the same, but bigger. That means that the left side is 9/16 out of the whole and the right side is 7/16 out of the whole So back to the pythagorean theorem (9+7)^2 = 256. Multiply that number by one of the two numbers before. I will take 9/16, the left side. 256x9/16 = 144. Take the square root of that, 12, and then you have the length of that side. Then use pythagorean theorem again. C^2 = 9^2 + 12^2
C^2 = 225.
C= 15
Seen as C stands for y, there is your answer

The Australian Cockroach measures 3.582 centimeters compared to the American Cockroach that measures 3.576 centimeters. Compare these numbers using >, <, or =

____________________, ____________________, ______________________

Answers

Since the Australian Cockroach measures 3.586 centimeters, and the American Cockroach measures 3.576, we should pay attention to the numbers being told.

3.586 and 3.576 have 3 in their thousands.

3.586 and 3.576 also have 5 in their hundreds.

In the tens, the eight is larger than the seven.

3.586 > 3.576

(I hoped this helped!)

Which sphere has a volume of 0.288Pi in.3?
A sphere with radius 0.4 inches.
A sphere with radius 0.5 inches.
A sphere with radius 0.6 inches.
A sphere with radius 0.7 inches.

Answers

Answer:

Step-by-step explanation:

Answer in the photo

A sphere that has a volume 0.288π inches cube has a radius of 0.6 inches

Volume of a sphere

The volume of a sphere is described as follows:

volume of sphere  = 4 / 3 πr³

where

r = radius of the sphere

Therefore,

volume = 0.288π inches cube

Hence, the radius can be calculated as follows;

0.288π  =  4 / 3 πr³

divide both side by π

0.288 = 4 / 3r³

cross multiply

0.288 × 3 = 4r³

0.864 = 4r³

divide both sides by 4

r³ = 0.864 / 4

r = ∛0.216

r  = 0.6 inches

Therefore, a sphere that has a volume 0.288π inches cube has a radius of 0.6 inches

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Can someone help me please 100 Points!!

Answers

Answer: y=2x+13

Step-by-step explanation: So you need to find the equation y=mx+b

So to find slope (m) you need to do is rise over run. So your slope would be 2.

Now we need to find your y-intercept (b). Your y-intercept would be 13. so your equation for the line of best fit would be y=2x+13

I hope this helped.

 

pls help me give u a brainlest

Answers

Answer:

uhmm. lemme remember how to do that

Answer:

30 in

Step-by-step explanation:

V=Bh

Find the area of the triangle then multiply it by the height of the prism.

what is a number that when you multiply it by 4 and add 15 to the product you get 28? show your work please

Answers

Answer:2

Step-by-step explanation:

What is the area of the following circle?
Either enter an exact answer in terms of t or use 3.14 for it and enter your answer as a decimal.
r=1

Answers

Answer:

The area is 3.14

Step-by-step explanation:

Get the radius and times it by itself then multiply it by pie and you get 3.14

Which of these situations could be written as an equation with one variable?

A
Penny picked 35 apples, Ben picked 22 and Sam picked 17. They picked 74 apples all together. Who picked the most apples?

B
Harriet and Lea found 9 four-leaf clovers on the baseball field in all. Harriet found 5 of them. How many clovers did Leah find?

C
There were 45 doughnuts at the snack table today. Tanisha brought 33 of them, and Doug brought 12. Where did Tanisha buy her doughnuts?

D
Lori bought the most T-shirts of anyone in her family. She bought 1 more T-shirt than Thea and 3 more than Pino. How many shirts did Lori buy?

BACK

Answers

Answer:

b

Step-by-step explanation:

Because i dont know I just need points bro

It would be B becuase 9-x=5

P.S x=4

Which is the same as 7/3?

Answers

Answer:

Its D.

Step-by-step explanation:

7 is being divided from 3.

Answer: 7 divided by 3

Step-by-step explanation: 7/3 = 2.3 and so does 7 divided by 3.

• Each number on a number cube is a possible result, or _______________, of rolling the cube.

Answers

Ratio or outcome maybe?

Find m< HIF
Show your work

Answers

Answer: m/HIF =110•

Step-by-step explanation:

The measure of angle HIF is 13.89°.

To find the measure of angle HIF (m∠ HIF), we need to use the fact that the sum of angles in a triangle is 180 degrees.

Let's denote the measure of angle JIF as y.

According to the given incorrect solution, we have:

m∠ JIF + m∠ IFJ + 90 = 180

But the sum of angles JIF and IFJ isn't necessarily 90 degrees unless we know more about the triangle or have additional information.

However, since we know that the sum of angles in triangle JIF is 180 degrees, we can use this to find the measure of angle HIF.

We have:

m∠ JIF + m∠ IFJ + m∠ HIF = 180

We know that m∠ JIF = 7x + 3 and m∠ IFJ = 2x + 6. Plugging these values in, we get:

(7x + 3) + (2x + 6) + 46 = 180

Combine like terms:

7x + 3 + 2x + 6 + 46 = 180

9x + 55 = 180

Subtract 55 from both sides:

9x = 125

Divide both sides by 9:

x = 125 / 9

Now, we can find the measure of angle HIF by substituting the value of x into the expression for m∠ HIF:

m∠HIF = 13.89°

Write (p^3)^2 without exponents

Answers

Answer:

(p³)² is p⁶, which is p·p·p·p·p·p

Hope this helps!

(edit: nevermind, this was in April of 2020)

An expression is defined as a set of numbers, variables, and mathematical operations. The value of the given expression (p³)² without exponents can be rewritten as p×p×p×p×p×p.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The value of the given expression (p³)² can be rewritten as,

(p³)²

= p⁶

= p × p × p × p × p × p

Hence, The value of the given expression (p³)² without exponents can be rewritten as p×p×p×p×p×p.

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Help ASAP please ! Explain too

Answers

Answer:

r=4

Step-by-step explanation:

you basically have to create a proportion. .5/12 = x/96. then u cross multiply

Please help ASAP 15 points

Answers

Answer:

k= 35 degrees do the very bottom

Step-by-step explanation:

55 + 35 = 90

The answer is k=35 for sure

What is the magnitude of the resultant vector a and b shown below?

Answers

Answer: SECOND OPTION.

Step-by-step explanation:

It is important to remember that, by definition, the "Resultant vector " is the vector obtained by adding two or more vectors.

 For this exercise you need to use the formula for calculate the magnitude of the resultant vector obtained by adding the vectors "a" and "b" shown in the picture attached:

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

Where "c" is the magnitude of the resultant vector asked in the exercise.

You need to analyze the graph given in the exercise.

You can identify that:

[tex]a=4\\\\b=3[/tex]

Then the next step, knowing which are "a" and "b", is to substitute values into the formula given at the beginning of this explanation, as following:

[tex]c=\sqrt{4^2+3^2}[/tex]

Finally, evaluating, you get that "c" is:

[tex]c=\sqrt{16+9}\\\\c=5[/tex]

Final answer:

The magnitude of the resultant vector a and b is 5.

Explanation:

The magnitude of the resultant vector a and b can be found using the Pythagorean theorem.

The Pythagorean theorem states that the magnitude of the resultant vector is equal to the square root of the sum of the squares of its individual vector components.

Let's assume vector a has a magnitude of 3 and vector b has a magnitude of 4. First, we square the magnitude of each vector: a^2 = 3^2 = 9 and b^2 = 4^2 = 16.

Then, we sum the squared magnitudes: a^2 + b^2 = 9 + 16 = 25. Finally, we take the square root of the sum: magnitude of the resultant vector = sqrt(25) = 5. So, the magnitude of the resultant vector a and b is 5.

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Please help me with #2.

Answers

Answer:

320 meters

Step-by-step explanation:

(20*8*6)/3

Answer:

320 cubic meters.

Step-by-step explanation:

Volume = LxW/ h/3.

--> 20x8/6/3 = 320.

What is the unit rate for sukis scrumptious sushi?


A. $4.50 for 1 sushi roll
B. $9.00 for 1 sushi roll
C. $9.00 for 2 sushi rolls
D. $2.00 for 9 sushi rolls

Answers

a. 4.50 for 1 sushi roll
A. 4.50 { 1 sushi roll}

Complete the recursive formula of the geometric sequence −0.6,3,−15,75,...

Answers

Answer:

[tex] - 0.6 - 3 - 15.75 = .9[/tex]

Answer:

-5

Step-by-step explanation:

khan academy

first is −0.6

then -5 because x each one by -5  

These box plots represent the number of seconds that a random sample of 100 traffic lights are red in each of two cities: Johnstown and Martinville

Answers

Answer:

 The question is not complete. Attached to this answer is the diagram of the box plot and the complete question:

These box plots represent the number of seconds that a random sample of 100 traffic lights are red in each of two cities: Johnstown and Martinville

Based on the data on the two box plots, which statement about the difference in the medians of the two data sets is true?

The correct answer is:

The difference is about [tex]\frac{1}{2}[/tex] times the range of the data shown for Johnstown,and about [tex]\frac{3}{8}[/tex] times the range of data for Martinville. (D)

Step-by-step explanation:

From the box plot, it is seen that the following data can be gotten:

Cities                          Range                                    Midian (mid-point)

Johnston                  140 - 80 = 60                                  110

Martinville                 120 - 40 = 80                                  80

Difference in medians = 110 - 80 = 30

now comparing the difference between the median and the ranges of each city, we observe that:

range for Johnston = 60 ; median difference = 30

hence difference in medians : range for Johnston = 30 : 60 = 1 : 2 = 1/2

hence difference of medians is [tex]\frac{1}{2}[/tex] times the range of Johnston.

Difference of midians : range of Martinville = 30 : 80 = 3 : 8 = 3/8

hence the difference of medians is [tex]\frac{3}{8}[/tex] times the range of Martinville.

Answer:  The question is not complete. Attached to this answer is the diagram of the box plot and the complete question:

These box plots represent the number of seconds that a random sample of 100 traffic lights are red in each of two cities: Johnstown and Martinville

Based on the data on the two box plots, which statement about the difference in the medians of the two data sets is true?

The correct answer is:

The difference is about  times the range of the data shown for Johnstown,and about  times the range of data for Martinville. (D)

Step-by-step explanation:

From the box plot, it is seen that the following data can be gotten:

Cities                          Range                                    Midian (mid-point)

Johnston                  140 - 80 = 60                                  110

Martinville                 120 - 40 = 80                                  80

Difference in medians = 110 - 80 = 30

now comparing the difference between the median and the ranges of each city, we observe that:

range for Johnston = 60 ; median difference = 30

hence difference in medians : range for Johnston = 30 : 60 = 1 : 2 = 1/2

hence difference of medians is  times the range of Johnston.

Difference of midians : range of Martinville = 30 : 80 = 3 : 8 = 3/8

hence the difference of medians is  times the range of Martinville.

Step-by-step explanation:

Jay is making a documentary on the opinions of Cortland residents toward a
local sports team. If he talks to 8 people, and each interview lasts 3 minutes,
how long will the film be?

Answers

Answer:

24 minutes.

Step-by-step explanation:

8 people x 3 minutes of interview = 24 minutes of interview time.

Answer:

f=8*3.

Step-by-step explanation:

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