how do you do the formula a2+b2=c2

Answers

Answer 1

In the formula a^2 + b^2 = c^2, a is (most often) the height of the triangle, b is the length of the triangle, and c is the last side-length connecting a and b, called the hypotenuse. The formula states that a and b must form a 90 degree angle, and that a^2 + b^2 = c^2.

So, to find x in this triangle:

x^2 + 8^2 = 12^2
x^2 + 64 = 144
x^2 = 80
x = 8.94

Hope this helps!

Related Questions

Piper bought 5 movie tickets and 1 bottle of water. She spent $28. The water cost $3. How much did each ticket cost. Write an equation to solve the problem and answer the question.

Answers

every movie ticket was $5

$28-$3=$25
5x5=25
Each movie ticket cost $5

In the diagram l//m.You also know that 3=~4 because vertical angles are congruent.Which of the following statement can be used to help show that ABC is similar to EDC

Answers

The lower left corner is the answer.
Angle 1 is congruent to angle 5 because they are alternate interior angles (assuming AB || DE)

They are on the inside of the parallel train tracks. By "train tracks" I mean the horizontal lines AB and DE. So they are considered interior angles. They are on alternate sides of the transversal AE. Angle 1 is on the right side while angle 5 is on the left side. These two facts are why they are considered alternate interior angles.

What is the volume of this sphere?

Answers

V≈113.1
----------------
or 36pi cm^2

Answer:
volume = 36π cm³

Explanation:
volume of the sphere can be calculated using the following rule:
Volume = [tex] \frac{4}{3} [/tex] * π * (radius)³

We are given that the radius = 3 cm
Substitute in the equation to get the volume as follows:
volume = [tex] \frac{4}{3} [/tex] * π * (3)³
volume = 36π cm³

Hope this helps :)

Two parallel lines are cut by a transversal. Which statements are true for all such cases? Select three that apply.
A.Each pair of vertical angles is congruent.

B.Each pair of corresponding angles is congruent.

C.Each pair of supplementary angles is congruent.

D.Each pair of alternate interior angles is congruent.

Answers

A, B, and D are congruent

The THREE (3) correct answers are:
____________________________________________________
[A]: "Each pair of vertical angles is congruent."
____________________________________________________
[B]: "Each pair of corresponding angles is congruent." ; AND:
____________________________________________________
[D]: "Each pair of alternate interior angles is congruent."
____________________________________________________

I need sambady help my to rate the question

Answers

Counting by tens is faster than counting by ones because you skip more numbers in between 10 and the next number than just counting by ones

Please help please. Help

Answers

how tall is the cylinder??? TT

What role do plants have in the carbon-oxygen cycle?

a) They release oxygen into the air as a waste product of photosynthesis.
b) They release carbon dioxide into the air as a waste product of photosynthesis.
c) They absorb oxygen from the air to use during photosynthesis.
d) They do not have a role in the carbon-oxygen cycle.

Answers

A. Plants release oxygen to the air for us to breathe.

A.They release oxygen into the air as a waste product of photosynthesis.
Hope This Helps you!

All colors of light are bent the same amount as they move from one material to another.

A) Always true.

B) Always false.

C) True, if you change bent to absorbed.

D) False, each color bends a different amount.

Answers

D is correct. This has to do with the frequency dependence of the index of refraction. This effect can be seen in prisms and is what allows them to break white light into its different colors (frequencies). If they all bent the same amount, the beam would stay together and the light leaving a prism would remain white. Also rainbows would not be possible, since they are made by light refracting at different angles inside spherical droplets of water in the earth's atmosphere.

D is the correct answer

Select from the drop-down menu to correctly complete the statement.

Triangle ABC and triangle DEC are

Answers

The answer is Not Similar.

Answer:

Not similar

Step-by-step explanation:

In triangle DEC, using the angle sum property, we get

∠D+∠E+∠C=180°

⇒∠D+15°+94°=180°

⇒∠D=180-109

⇒∠D=71°

Also, from triangle ABC, we have

∠A+∠C+∠B=180°

⇒38°+94°+∠B=180°

⇒∠B=48°

Now, From triangle ABC and CDE, neither the angles nor the sides are similar, therefore the given triangles cannot be similar.

A 15 oz can of peaches costs $1.99 and a 24 oz can of peaches cost $2.55. How much is the price per ounce of the 15 oz can of peaches

Answers

Divide the price by the number of ounces.

=$1.99 ÷ 15 ounces
=$0.13

The price per ounce of the 15 ounce can is $0.13.

Hope this helps! :)

0.13 is the correct answer

Jose decided to walk the 9 3/10 mi from his house to the beach. in the first hour he walked 3 4/5 mi. in the second hour he walked 2 9/10 mi. how much farther did he have to go?

Answers

9 3/10, 3 8/10, 2 9/10

8/10 + 9/10 = 1 7/10

3+2+1 7/10 = 6 7/10

9 3/10 - 6 7/10 = 2 6/10

Ok so, first we have to turn these into improper fractions

9 3/10= 93/10
3 4/5= 19/5
2 9/10= 29/10

Ok so 19/5 + 29/10 is 67/10

67/10 - 93/10= 13/5.

13/5 or 2 3/5 is the answer, good luck, hope this helped, and STAY SMART! =p

Ms.Sherman is preparing 5 5/8 cups of rice for a family reunion, she plans to use 1/4 of a cup for each serving. How many servings of rice is Ms.Sherman preparing

Answers

Ms. Sherman is preparing 5 5/8 cups of rice. She is using a fixed amount of 1/4 cup for each serving. Since we know the total amount of rice she is using and the amount per serving, we divide these to determine the number of servings.

It might be easier to see if we used friendlier numbers. If she has 10 cups total and uses 2 cups per serving she would have 10 / 2 = 5 servings.

Now, back to the numbers we were given. We need to divide 5 5/8 by 1/4. Let's first re-write 5 5/8 as an improper fraction (multiply 8 by 5 and add 5 to get 45 then place this over the already existing denominator of 8). 5 5/8 = 45 / 8.

The division we need to undertake is [tex] \frac{45}{8} / \frac{1}{4} [/tex]
To divide by a fraction we multiply by the reciprocal (what you get when you flip the fraction over) so our problem becomes [tex]( \frac{45}{8} )( \frac{4}{1} )[/tex]

We multiply across to get [tex]( \frac{45}{8} )( \frac{4}{1} ) = \frac{(45)(4)}{(8)(1)}= \frac{180}{8}=22.5 [/tex]

That is, she is making 22.5 servings. As a fraction this is 22 1/2

Dana has n quarters. Ivan has 2 fewer than 3 times the number of quarters Dana has. The expression n + 3 n−2 gives the number of quarters they have altogether. Which is another way to write this expression?

Answers

You can "collect terms" and write it as
4n -2

a rectangular photograph is 4 inches wide and 6 inches long. The photograph is enlarged by increasing the length and width by an equal amount. If the area of the new photograph is twice as large as the oringinal area, what are the dimensions of the new photograph?

Answers

The original area is
4*6= 24
The new area is 24*2 =48
So the dimensions is 6*8

Select the graph of the solution. Click until the correct graph appears.

|x| = 3

Answers

The correct graph is the third one, with the solid dots at -3 and 3.

The bars around x stand for absolute value, which is defined as the distance a number is from 0. We want to know what number or numbers is/are 3 units away from 0 on a number line; the only choices are 3 or -3.

This means we must plot points at -3 and 3. They must be solid points, since these numbers are included in the solution (they are, in fact, the only ones of the solution).

Answer:

First picture

Step-by-step explanation

the graph with the open circle on -3 and 3 and pointing to the opposite to each so -3 the arrow is pointing this way <----- for 3 the arrow is pointing this way ------->

draw and label a figure that has four points two rays and one right angle

Answers

This figure has four points labeled, 2 rays which you can see labeled and one right angle. The rays are named Ray BA, and Ray BD, The right angle is angle ABD, or angle ABC. A ray has one and point and goes on forever in the other direction which is indicated with an arrow. A right angle measures 90°. You can potentially put any number of points on a line. Angles can also be named by the vertex.

Angle of rotation(including direction of rotation)

Answers

What is the question

Lucy wants to make different types of cheesecake. Each cheesecake uses 2/3 pound of cream cheese. She has 2 pounds of cream cheese. How many cheesecakes can she make?

Answers

Lucy can make a total of 2 cheesecakes with 2 pounds of cream cheese.

1. The lengths, in centimeters, of nine earthworms are shown below.
3, 4, 5, 5, 6, 7, 8, 9, 10
What is the median of the data?
A)5
B)6
C)7
D)8

2. Which measure of central tendency is MOST EASILY affected by outliers?
A) mean
B) median
C) mode
D) IQR

3. The math test scores of Mrs. Hunter's class are shown below.
48, 56, 68, 72, 72, 78, 78, 80, 82, 84, 88, 88, 88, 90, 94, 98, 100

What is the range of the scores?
A) 44
B) 52
C) 54
D) 62

4. The heights (in inches) of 13 plants are 6, 9, 10, 10, 10, 11, 11, 12, 12, 13, 14, 16, and 17.
What is the interquartile range of this data set?
A) 3.5
B) 6
C) 10.5
D) 11

Answers

1. Given the lengths:
3, 4, 5, 5, 6, 7, 8, 9, 10
The median of the data, will be the middle number. From the data shown the middle number is:
B] 6

2. The mean is more affected by outliers since it takes into account all the values in a given set of data. Thus existence of outliers will greatly affect the mean. Hence the correct answer is A]

3. Given the math test scores of Mrs. Hunter's class, the range is given by:
Range=(maximum value)-(minimum value)
thus:
Maximum value=100
Minimum value=48
therefore plugging in the formula:
Range=100-48=52
Answer: B]

4. From the given heights of 13 plants:
6, 9, 10, 10, 10, 11, 11, 12, 12, 13, 14, 16,17.
The IQR is given by:
IQR=(upper quartile)-(lower quartile)
upper quartile=(14+13)/2=13.5
lower quartile=(10+10)/2=10
thus
IQR=13.5-10=3.5
Answer:
A]3.5

If a number is added to itself and the sum is multipled by 2 , the product is 4

Answers

the number is 1

1 + 1 = 2

2(2) = 4

1 is your answer

hope this helps

If the function graphed is f(x), find f(1).

A.) -4

B.) - 1/4

C.) 0

D.) 4

***
Is it C.) 0 ???

Answers

Locate 1 on the x axis. This is the horizontal number line.

Draw a vertical line through 1 on the x axis. Extend this vertical line as far up and down as you can.

Notice how the vertical line crosses the blue curve. Mark this point. Then draw a horizontal line from this point to the y axis. The horizontal line will touch -4 on the y axis. So that means the point (1,-4) is on the curve.

If the input it is x = 1, then the output is y = -4

So that's why the answer is choice A

In 2010, Josh purchased a house for $110,000. In 2014, the house was valued at $105,000. What is the rate of change for the value per year?

Answers

Final answer:

To find the rate of change for the value of Josh's house per year, subtract the initial purchase price from the current value, then divide by the number of years that have passed. The result shows the house's value decreased by $1,250 per year.

Explanation:

To calculate the annual rate of change for the value of Josh's house, you would subtract the final value of the house from the initial value and then divide by the number of years that have elapsed. This calculation gives you the change in value per year. In this case, the initial value of the house in 2010 is $110,000 and the final value in 2014 is $105,000. There are 4 years between 2010 and 2014.

Rate of change per year = (Final Value - Initial Value) / Number of Years

Rate of change per year = ($105,000 - $110,000) / 4

Rate of change per year = (-$5,000) / 4

Rate of change per year = -$1,250

Therefore, the value of Josh's house decreased by $1,250 per year from 2010 to 2014.

a) You want to buy a new sweatshirt. They normally cost 28.80, but you found one that's on sale for 40% off its normal price. How much will you pay, not including tax?

1) $16.18

2) $17.28

3) $18.38

4) $19.48

b) If you get 17 out of 20 questions correct on this test, what percentage will you get correct?

1) 100%

2) 95%

3) 90%

4) 85%

Answers

For question A, the answer is 2. Since the sale sweatshirt if 40% LESS, this means that 60% of the original price still remains. 28.80 x .60 = 17.28

For question B, the answer if 4. You can divide 17 by 20 getting .85

What is the quotient of the complex number 4-3i divided by its conjugate ?

Answers

Answer:

Quotient is[tex]\frac{7-24i}{25}[/tex]

Step-by-step explanation:

Given is a complex number as 4-3i

We have to find the quotient when divided by its conjugate

Its conjugate is

[tex]4+3i[/tex]

When divided we have

[tex]\frac{4-3i}{4+3i} =\frac{4-3i}{4+3i} \frac{4-3i}{4-3i}[/tex]

(to simplify the above)

=[tex]\frac{(4-3i)^2}{4^2+3^2} \\=\frac{7-24i}{25}[/tex]

Quotient is [tex]\frac{7-24i}{25}[/tex]

Answer:

7/25 - 24/25i

Step-by-step explanation:

Which inequality's solution is graphed here?
A) 4 < x
B) 4 > x
C) 4 ≤ x
D) 4 ≥ x

Answers

we have that

the inequality solution represented in the graph is X> 4
then
x>4 is equal to 4< x

the answer is the option 4< x

You are a coffee shop owner and want to calculate the usual amount of money made each day, but you know that Fridays bring in more than double the revenue of any other day. Which measure of central tendency should you use?

A. Median
B. Mean
C. Mode
D. Any of the above

Answers

B (Mean) is the answer you are looking for
~Mathlete12321~

Final answer:

A. Median

The median is the most appropriate measure of central tendency for a coffee shop owner to use to calculate the usual daily revenue, as it is not skewed by the unusually high revenue on Fridays.

Explanation:

When considering which measure of central tendency to use for determining the usual amount of money made each day at a coffee shop, where Fridays bring in more than double the revenue of any other day, the best option would be the median. This is because the median is the middle point of the data distribution when the observations are ordered by their numerical values, and it is not affected by extreme values or outliers in the data.

The mean, or average, could be significantly skewed by the higher revenue on Fridays, thus not accurately depicting a typical day. The mode is the most frequently occurring value in the distribution, which may not be applicable to this situation unless you have multiple days with the exact same revenue.

Therefore, the median is most appropriate for this scenario as it is not influenced by the high revenue on Fridays and will provide a better indication of what a typical day's earnings might look like.

what can you conclude about the equations y=5/4x-10 and 5x-4y=40

Answers

y = 5/4x - 10
5x - 4y = 40

Let's rewrite the second equation to y = mx + b form

5x - 4y = 40
subtract 5x from both sides
-4y = -5x + 40
divide both sides by - 4
y = 5/4x - 10

What can you conclude about the equations?
Well, it's the same thing just written in slope-intercept form and standard form.

Hope this helps

Ms. Johnson asked her class to write an equivalent
expression to
14d - 9 + 21k - 7dk + 2.
riley wrote the expression
7dk(2 - 3 - 1) _ 7

ahmad write the expression
7(2d + 3k - dk) - 7

Ariana wrote the expression
7k(2d - 3 - d) - 7

who is correct? explain how you know

Answers

Ahmad wrote the correct expression.
To prove that 7(2d + 3k - dk) - 7 is equal to 14d - 9 + 21k - 7dk + 2
Please check this solution:
7(2d + 3k - dk) - 7 = 14d - 9 + 21k - 7dk + 2
7(2d + 3k - dk) - 7 = 14d + 21k - 7dk -9 + 2
7(2d + 3k - dk) - 7 = 14d + 21k - 7dk -7

Get the common variable which is 7.
7(2d + 3k - dk) - 7 = 7(2d + 3k - dk) - 7

For checking, we can simplify the equation...
from 7(2d + 3k - dk) - 7 = 14d - 9 + 21k - 7dk + 2
We simplify it to:
7(2d + 3k - dk) - 7 = 14d + 21k - 7dk -7
7 * 2d = 14d
7 * 3k = 21k
7 * - dk = -dk

Therefore,
7(2d + 3k - dk) - 7 is equal to 14d + 21k - 7dk -7

What are the roots of the polynomial equation? x² + 7x + 12 = 0 Enter your answers in the boxes. x1= x2=

Answers

The equation factors as
.. (x +3)(x +4) = 0
By the zero-product rule, the roots are
.. x1 = -4
.. x2 = -3

Find the roots by solving for x.
x= -3, -4

Amber completed a 25-kilometer road race in 3 hours. She ran at the same speed and covered the same distance each hour. Between which 2 whole numbers does the distance she ran each hour lie? Draw a visual model to find the distance she ran each hour.

You don’t have to do the last part but it’d be great if you did

Answers

To answer this question, you will find the number of kilometers she ran per hour. This is called the unit rate. To get the unit rate, you will divide the number of kilometers by the number of hours, so 25/3. The answer is 8 1/3 kilometers per hour. This number falls between the whole numbers 8 and 9. I will describe to you how to create a visual model to show this. If you draw a long bar and break it into 25 equal sections. Take 24 of these groups and circle 3 groups of 8 to show the 8 km. Take the last group and break it into 3 equal sections as well (creating groups the size of 1/3). One of these goes with the group of 8 you got when you broke the whole sections into groups of three creating the mixed number 8 1/3 kilometers. This shows you modeling the 25 km broken into 3 equal sized groups (which is division).

The distance she ran each hour is between 8 and 9

How to determine the whole numbers?

The distance is given as:

Distance = 25 km

The time is given as:

Time = 3 hours

The speed is then calculated as:

Speed = Distance/Time

So, we have:

Speed = 25km/3 hours

Divide

Speed = 8.33 km/hr

8.33 is between 8 and 9

Hence, the distance she ran each hour is between 8 and 9