Ella said that if she knows the lengths of just two sides of any triangle,
then she can find the length of the third side by using the Pythagorean
Theorem. Is Ella correct? Explain. Lesson 7-1

Answers

Answer 1

Answer:

Yes

Step-by-step explanation:

Pythagorean theorem is a^2+b^2 = c^2 where each letter is a side of a triangle. If you know 2 sides then there is only 1 unknown and 1 equation so you can easily find the third side by solving the equation.


Related Questions

If someone makes as many slices of toast as possible in 4 minutes and
40 seconds, how many slices do you think they can make?

Answers

Answer:

probably like 4 slices

Step-by-step explanation:

you figure if a toaster takes about 1-2 minutes to toast a piece of bread  and a toaster usually can fit 2 slices at a time i would say 4.

use a proportion to change to the given unit
12kL = _____ L
28g = _____ mg
8 km = _____ m
2.2 g = ______ cg
7 dm = ______ m
5.5 cg = _____ dg

Answers

12,000 L
28,000mg
8,000 m
220 cg
.7 m
.55 dg


Just need answer x=

Answers

Answer:

[tex]at \: y = 20 \\ x = 20[/tex]

can someone pls help me answer this question? hurry.

Answers

Answer:

12a −24b −4

Step-by-step explanation:

will make brainliest help please.

Answers

Answer:

D) As the amount of nutrients in the soil increases, the rate of plant growth increases.

Step-by-step explanation:

When there is more nutrients in the soil it makes the plant healthier and grow more. Also all of the other ones have no correlation to eachother or effect on another.

A runner covers the last straight stretch of a race in 4 s. During that time, he speeds up from 5 m/s to 9 m/s. What is the runner’s acceleration in this part of the race?

Answers

Given,

Time taken to cover the last last straight stretch of a race = 4 seconds

He speeds up from 5 m/s to 9 m/s

To find,

The acceleration of the runner.

Solution,

We can simply solve this numerical problem by using the following process.

Here,

Initial velocity (u) = 5 m/s

Final velocity (v) = 9 m/s

Time (t) = 4 seconds

Acceleration (a) = ?

According to the formula of kinematics,

a = (v-u)/t

a = (9-5)/4 [By putting the given values.]

a = 4/4 = 1 m/s²

(We have used SI unit of the acceleration, because all the initial physical quantities are also in SI units.)

Hence, the acceleration is 1 m/s²

What is the value of the expression below?

56 +1/17

A1/952

B17/56

C35/17

D952

Answers

Answer:

[tex]56 \frac{1}{17} [/tex]

Step-by-step explanation:

[tex] 56 + \frac{1}{17} = \frac{56}{1} + \frac{1}{17} \\ \\ lcm \: of \: 17 \: and \: 1 \: = 17 \\ \\ \frac{952 + 1}{17} = \frac{953}{17} = 56 \frac{1}{17} [/tex]

Find the value of x in the equilateral triangle.
Х
3 in

Answers

Answer:

x≈3.35, or the square root of 11.

Step-by-step explanation:

Use the pythagorian therom. 3²+1.5²=x²

(Half of 3 is 1.5 and the line splits it in half)

Express in simplest form.

Answers

Answer:

x-2/x

Step-by-step explanation:

¨/¨ means over

Answer:

(x-2)/x

Step-by-step explanation:

We can factor the numerator and denominator to see if anything simplifies.

[tex]\frac{(x-2) (x+5)}{x (x+5)}[/tex]

because (x-2)(x+5) = x² +5x-2x-10 = x² + 3x -10 and

               x(x+5) = x² +5x

Simplify further

[tex]\frac{x-2}{x}[/tex]

because [(x+5) /(x+5)] = 1

Find the width of a cereal box that has a volume of 2,310 cm3 and is 22 cm long and 21 cm high.

Answers

breadth or width = 5cm

hope it helps...!!!

Johnny’s monthly expenses and income are listed below. calculate johnny’s debt-to-income (dti) ratio. johnny's monthly debt and income housing: rent $950.00 renter's insurance $25.00 credit: student $250.00 car $239.00 credit card

Answers

Answer:

c

Step-by-step explanation:

What does folding paper have to do with exponents? (Currently struggling please help

Answers

Answer:

The thickness of the paper doubles each fold: it's an exponential growth.

Step-by-step explanation:

This is call a exponential growth

I need help with this problem

Answers

Answer:

y = 2x +5

Step-by-step explanation:

f(x) = y means that you want y to be on one side of the equation by itself.

so you need to isolate y.

2y - 4x = 10

first add 4x to both sides of the equation

2y = 4x + 10

then, divide by 2 on both sides to have y by itself

y = 4/2x + 10/2

finally, simplify:

y = 2x + 5

Do employer-sponsored wellness programs work? About 5000 employees at the University of Illinois at Urbana-Champaign volunteered for a study to find out. Researchers randomly assigned 3300 volunteers to a treatment group and the remaining 1534 to a control group. Employees in the treatment group were invited to take paid time off to participate in a wellness program. Those in the control group were not allowed to participate. One measure of the program's effectiveness was employee attrition. In the 2-year period following the start of the study, 356 of the people in the treatment group left their job for any reason, compared to 184 of the people in the control group. Do these results provide convincing evidence at the a= 0. 05 level that offering employees paid time off to participate in a wellness program reduces the proportion who leave their job within 2 years for people similar to the ones in this study?

Answers

The research analysis computed do not give supporting evidence that employer-sponsored wellness programs work.

How to analyze the research study?

From the information given, the sample proportion for treatment group will be:

= 356/3300 = 0.1078

The sample proportion for the control group will be:

= 184/1534 = 0.1199

The z value is -1.24 and the p value is given as 0.1078. In this case, we fail to reject the null hypothesis.

Therefore, the results do not provide convincing evidence that offering employees paid time off to participate on a wellness program will reduce the proportion of those who leave their job within two years.

Learn more about research on:

https://brainly.com/question/25257437

After trick-or-treating, Juan counted his candy. He collected 25 pieces of candy and noticed that 2/5 of the candy was chocolate. How many pieces of Juan’s candy were chocolate?

Answers

10 pieces of candy were chocolate

if a cars gas tank has 15 gallons of gas in it and the gauge says it the tank is 75% full how many gallons can the entire tank hold

Answers

square root to pie is the equation to this
answer use the 3.14 method and can I get
brainliest:

What is the solution to the system of equations?
4x+y=5
x-2y=6

O(2,-2)
O (-2,2)
O (1/2,4)

Answers

Answer:

  (x, y) = (1 7/9, -2 1/9)

Step-by-step explanation:

If all you want is a solution, an appropriate calculator can provide that. The attachment shows the result of using a graphing calculator. (We have to know the fraction equivalents of the decimal values shown.)

The solution to the system is ...

  (x, y) = (1 7/9, -2 1/9)

__

The solution is approximately (2, -2).

The stock market rose and fell over a

period of five days:

9. 8,-3. 5, 20. 5, 8. 6, -7. 7

Overall what was the net change in the

market?

Answers

Answer:

If your stock gains over 20% from the ideal buy point within 3 weeks of a proper breakout, hold it for at least 8 weeks.

Step-by-step explanation:

the money doesn't get redistributed to someone else.

PLEASE HELP!!
Solve x^2=81 and x^2-18x=7.
Please show your work!

Answers

Answer:

x² = 81 , x = ± 9

x² - 18x = 7 : x = 9 ± √(22)

Step-by-step explanation:

x² = 81

simply take the square root of both sides

x = ± 9

x² - 18x = 7

This question is a bit more complicated as there is a variable with a power as well as a variable with no power. To solve for x we are going to have to put the equation in quadratic form then solve using the quadratic equation

x² - 18x = 7

put the equation in quadratic form by subtracting 7 from both sides so that the equation is equal to 0

x² - 18x - 7 = 0

we can now solve for x using the quadratic equation

recall the quadratic equation : [tex]x=\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex]

where the value of a,b and c are derived from the equation

remember the equation is in quadratic form ax² + bx + c = 0

so ax² + bx + c = 0 : x² - 18x - 7 = 0

knowing this we can assign variables, a = 1 , b = -18 and c = -7

now we plug in the variables into the quadratic equation

recall equation : [tex]x=\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex]

a = 1 , b = -18 and c = -7

plug in values

[tex]x=\frac{-(-18)+\sqrt{(-18)^2-4(1)(-7)} }{2(1)}[/tex]

remove parenthesis

[tex]x=\frac{18+\sqrt{(-18)^2-4(1)(-7)} }{2(1)}[/tex]

simplify exponent

[tex]x=\frac{18+\sqrt{324-4(1)(-7)} }{2(1)}[/tex]

simplify multiplication in square root and on denominator

[tex]x=\frac{18+\sqrt{324+28} }{2}[/tex]

simplify addition

[tex]x=\frac{18+\sqrt{352} }{2}[/tex]

simplify radical

[tex]x=\frac{18+4\sqrt{22} }{2}[/tex]

simplify fraction

[tex]x=9+or-\sqrt{22}[/tex]

and we are done!

Identify the correctly formulated null hypothesis:


A factory has a machine that dispenses 80 milliliters of fluid in a bottle. An employee believes the average amount of fluid is not 80 milliliters. Using 40 samples, he measures the average amount dispensed by the machine to be 78 milliliters with a standard deviation of 2. 5.


a

The machine dispenses 80 ml of fluid.

b

Ha: mu=80

c

H0: mu=80

d

The machine does not dispenses 80 ml of fluid

Answers

The answer A

A factory has a machine that dispenses 80 mL of fluid into a bottle.

Select the correct answer.
Sharla wanted to know how many minutes per hour a radio station typically plays music. She collected the following data from seven radio
stations
30,31,37,36,31,35, 34
By how many minutes would her median time change if she added another radio station playing 37 minutes?
a. 0.4
b. 0.5
c. 0.45

Answers

Answer:

b. 0.5

Step-by-step explanation:

Arranging the given data

30, 31, 31, 34, 35, 36, 37Median is the middle term⇒ Median = 34 minutes

Upon adding 37 to the data set,

30, 31, 31, 34, 35, 36, 37, 37Median is the arithmetic mean of the middle two data pointsMedian = 34 + 35/ 2 = 34.5

Change in Median

New Median - Original Median34.5 - 340.5

Two points on a circle are points A(-11,7) and B(-9,-3)

1. Determine the equation of a lone containing the center of the circle

2. If the x-coordinate of the center is -5, determine the circle's center: (-5,?)

Answers

Answer:

( x + 5 )² + ( y - 3 )² = 52

Step-by-step explanation:

Let find the equation of the line going through A( - 11, 7 ) and B( - 9, - 3 )

m = [tex]\frac{-3-7}{-9+11}[/tex] = - 5

y - 7 = - 5( x + 11 )

y = - 5x - 48

Now, let find the equation of the line passing through midpoint of the segment AB

Coordinates of that midpoint is ( [tex]\frac{-11-9}{2}[/tex] , [tex]\frac{7-3}{2}[/tex] ) = ( - 10 , 2 )

Slope of the perpendicular line is [tex]\frac{1}{5}[/tex] ( opposite reciprocal of ( - 5 )

y - 2 = [tex]\frac{1}{5}[/tex] ( x + 10 )

y = [tex]\frac{1}{5}[/tex] x + 4 ........... (1)

Coordinates of an intersection of two lines (1) and x = - 5 are coordinates of the center of the circle

y = [tex]\frac{1}{5}[/tex] ( - 5 ) + 4 = 3 ⇒ y = 3

O( - 5 , 3 ) is the center

The last!! RADIUS which is OA or OB

r = [tex]\sqrt{(-5+11)^2 +(3-7)^2}[/tex] = √52

( x + 5 )² + ( y - 3 )² = 52

What is the coefficient of the x'y term in the expansion of (x – 2y)??

Answers

Answer:

2

Step-by-step explanation:

f(x) = -2(3)^ x-2
Complete the following statements about f(x).
The y-intercept of f(x) is
The x-intercept of f(x) is_
The end behavior of f(x) is -
f(3) =
f(4) =

Answers

hi my name not Jeff. ok?

Step-by-step explanation:

hi im not jeff

The diameter of a circle is 41 ft. Find its area to the nearest whole number.

Answers

Answer:A≈1320.25ft²

Step-by-step explanation:

A=1

4πd2=1

4·π·412≈1320.25431ft²

Brahmagupta’s solution to a quadratic equation of the form ax2 bx = c involved only one solution. which solution would he have found for the equation 3x2 4x = 6?

Answers

The value of the quadratic equation is given by the formula. Then the value of x is 0.8968 and negative 2.23.

What is a factorization?

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The equation for the expression is given below.

3x² + 4x = 6

3x² + 4x - 6 = 0

we know that the formula

[tex]\rm x = \dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

Then we have

[tex]x = \dfrac{-4 \pm \sqrt{4^2-4*4*(-6)}}{2*3}\\\\x = \dfrac{-4 \pm \sqrt{112}}{6}\\\\x = 0.8968, \ -2.23[/tex]

More about the factorization link is given below.

https://brainly.com/question/6810544

A single stem rose is $3.99. What would be the price of 36 roses?

Answers

$143.64

Tell me if this helps
Please mark me as brainliest

Instructions: Use the image and your knowledge of the
isosceles triangle to find the value of x.

Answers

Answer:

Step-by-step explanation:

In Isosceles triangle base angles (angles oppoiste to equal sides) are congruent.

x + x + 98 = 180 {Angle sum proeprty of triangle}

   2x + 98 = 180   {Subtract 98 from both sides}

        2x = 180 - 98

       2x  = 82      {Divide both sides by 2}

        x   = 82/2

x = 41

Answer:

x = 41°

Step-by-step explanation:

An isosceles triangle has 2 opposite sides equal.

Therefore the angle opposite x is also x

Hence:

x + x + 98° = 180° (angles in a triangle add up to 180°)

2x + 98° = 180°

2x = 180° - 98°

2x = 82°

2x/2 = 82°/2

x = 41°

Which integer has the greatest value (-17,-7,-3,-23)

Answers

Answer:

that would be -3 becuase it's the least negative out of all the choices

Step-by-step explanation:

Alex simplified the expression 7+(3x 1. 4)+5+2+(5x1. 4) to find the area of the figure on the grid.

What error did Alex make?

He found the perimeter of the figure instead of the area.

He added the lengths of the lines creating the indentation instead of subtracting them.

He used 5x1. 4 and 3 x 1. 4 as the length of each diagonal line instead of 5 and 3.

He added the five lengths together instead of multiplying them.

Answers

The error Alex made while simplifying the expression 7+(3x 1. 4)+5+2+(5x1. 4) is "he found the perimeter of the figure instead of the area".

How to find area of an object?

The area of an object is the product of the length and width of the objects.

Alex added the dimensions of the grid instead of multiplying them.

7+(3x 1. 4)+5+2+(5x1. 4)

For instance,

Area of a rectangle = length × widthPerimeter of a rectangle = 2(length + width)

Therefore, Alex found the perimeter of the figure instead of the area".

Learn more about area:

https://brainly.com/question/13048427

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