When three squares are joined at their vertices to form a right triangle, the combined area of two smaller squares is the same as the area of the largest square find the side of the third square

When Three Squares Are Joined At Their Vertices To Form A Right Triangle, The Combined Area Of Two Smaller

Answers

Answer 1

Answer:

b = 12 cm

Step-by-step explanation:

The Pythagora's Theorem

The area of a square of side length x is

[tex]A = x^2[/tex]

We have three squares, two of which have side lengths of a=5 cm and b= 13 cm.

The combined area of the smaller squares is the same as the area of the largest square. We cannot say at first sight which square is the largest, we'll assume the square of side length of 13 cm is the largest one. Thus:

[tex]5^2+b^2=13^2[/tex]

Where b is the unknown side length.

The above expression corresponds to the Pythagora's Theorem formula. Solving for b:

[tex]b^2={13^2-5^2=169-25=144[/tex]

[tex]b=\sqrt{144}[/tex]

b = 12 cm


Related Questions

Best answer gets brainliest!


The following three shapes are based only on squares, semicircles, and quarter circles. Find the perimeter and the area of each shaded part. Give your answer as a completely simplified exact value in terms of π (no approximations).

Answers

Answer:

A = 81 - 20.25π

P = 36 - 9π

Step-by-step explanation:

To find the perimeter and area of the highlighted shapes, we must find those of the square and full circle. Then subtract the circle's area from the square. Do the same for perimeter.

Answer: look at picture!!!!

Ur welcomeeeeeee

Write the sentence as an equation.
k more than 156 is the same as 102

Answers

Answer:

156 + k = 102

Step-by-step explanation:

4.8 + 2.2w − 1.4w + 2.4

Answers

Answer:

7.2 + 0.8w

Step-by-step explanation:

combine like terms. Like terms have same variable with same power.

2.2w and (-1.4w) are like terms & 4.8 and 2.4 are like terms.

4.8 + 2.2w - 1.4w + 2.4 = 4.8 + 2.4 + 2.2w - 1.4w

                                      = 7.2 + 0.8w

Answer:

7.2+0.8w

Step-by-step explanation:

4.8+2.2w-1.4w+2.4

4.8+2.4=7.2   2.2w-1.4w=0.8w

6 cups of flour ___.

Answers

3 cups of sugar for 6 cups of flour!
(6,3), find 6 on the x axis, then go straight up until you got the line. That’s where the point will be. Would appreciate brainliest!

Please help! :) (Whoever answers first I'll give Brainlest!)

Answers

Answer:

The answer is [10+(9x3]+4 and 5x4+(7x3).

Step-by-step explanation:

I can't really explain, but if you add 10+4, it'll be 14.

If you multiply 9x3, it'll be 27.

So, if you add 27+14, it will be 41.

For the second answer:

If you also multiply 7x3, it'll be 21. If you ALSO multiply 5x4, its 20. So if you add 20+21, it will equal 41.


S2=1/(1)(2)+1/(2)(3)

Answers

Answer:

1/(1) (2) +1/(2) (3)

=1/2+1/6

=3

A triangle has sides with lengths of 8 miles, 15 miles, and 18 miles. Is it a right triangle?​

Answers

Answer:

No

Step-by-step explanation:

for it to be a right triangle, a² + b² = c². C must be the larger of the 3 sides, which in this case is 18. if you substitute 8 for a and 15 for b, you do not get C = 18, meaning that this is not a right triangle

Solving a System of Linear Equations: Substitution

The tables represent two linear functions. The equation represented by the first table is given below. y = 5.75x + 34.5 What linear equation is represented by the second table? What is the solution to the system of equations?

(Please explain with directions on how to do the equation!)

Answers

Answer:

where is the picture of the tables

A recent report indicated that 22 percent of the households in a certain community speak a
language other than English at home. A reporter will randomly select a household from the
community until the first houehold that speaks a language other than English at home is
selected. Let random variable Q represent the number of attempts needed until the first
household that speaks a language other than English at home is selected. The random variable
Q has a geometric distribution with p = 0.22. Which of the following is closest to the variance
of the random variable?

Answers

Answer:

16.1157

Step-by-step explanation:

The random variable Q has a geometric distribution with p = 0.22. The variance of the random variable will be 16.1157.

What is the variance of the random variable?

A spread measure for a random variable distribution quantifies how much the values of a random variable deviate from the value that is predicted.

For a discrete random variable, the variance is determined by adding the square of the difference between the value of the random variable and the anticipated value, together with the chance that the value of the random variable will occur, across all of the values of the random variable.

It is given that 22 percent of people in the community speak a language other than English at home.

The required number of tries should be represented by the random variable Q.

The geometric distribution of the random variable Q has a p-value of 0.22.

The variance of a random variable is

V(Q) = (1-p)/p²

V(Q) = (1-0.22)/(0.22)²

V(Q) =0.78/0.484

V(Q) =16.1157

Thus, the random variable Q has a geometric distribution with p = 0.22. The variance of the random variable will be 16.1157.

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Find m∟1 and m∟2. Tell which theorem can be use

Answers

Answer: Angle 1 = 150 - corresponding angles

Angle 2 = 150 - alternate exterior angles

Step-by-step explanation:

To find the measure of angles ∠1 and ∠2, we are using vertical angle theorem and corresponding angles concept.

From the given figure measure of one of the angle is 150°.

What are angles of parallel lines?

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.

Corresponding angles are angles that occur on the same side of the transversal line and are equal in size. They are either both obtuse or both acute.

Here, ∠1 = 150° (Corresponding angles)

∠1 =∠2 = 150° (Vertically opposite angles are congruent)

To find the measure of angles ∠1 and ∠2, we are using vertical angle theorem and corresponding angles concept.

To learn more about the vertical angle theorem visit:

https://brainly.com/question/8119520.

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A local animal rescue group received a number of $10 donations (D) for its annual drive. Suppose the total of the donations (T) reached $930. Which equations apply to this situation?

Answers

930/10 = number of donations

Answer:

&80/yt5

Step-by-step explanation:

E

6/7+9/14 simplify
The problem

Answers

Answer:

3/2 or 1.5

Step-by-step explanation:

We need the denominator to be the same so we multiply 6/7 by 2/2 to get 12/14. Now we add 12/14+9/14 which is 21/14. We can simplify 21/14 to 3/2, or 1/5 in decimal form. If you need it in mixed number form, it is 1 1/2

Step-by-step explanation:

[tex] \frac{6}{7} + \frac{9}{14} \\ LCM \: of \: 7 \: and \: 14 \: is \: 98)\\ = \frac{(84 + 63)}{98} \\ = \frac{147}{98} \\ = \frac{3}{2} \\ = 1 \frac{1}{2} [/tex]

Find the measure of the missing angle

Answers

Answer:

angle a = 90° - 48 ° = 42° okay

Find an equation of the line with the given y-intercept and slope m.
4.2, m = -3.7
The equation of the line is 0.
(Type your answer in slope-intercept form.)

Answers

Answer:

y=4.2x-3.7

Step-by-step explanation:

Slope-intercept form is y=mx+b, so just plug in the numbers to where they go in the formula.

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
I DONT KNOW HOW TO GRAPH SO CAN YOU SHOW ME HOW TO DO IT
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

Answers

Answer:

type it in to desmos online

five years ago ,a father was four times as old as his son.In five years time the father will be twice as old as the son.If x and y are the present ages of the father and the son respectively,the equation relating x and y are:

Answers

Answer:

The father is 40 and his son is 10

Step-by-step explanation:

6 1/2 divided by 3/4

Answers

Answer: 8 2/3

13/2 ÷ 3/4

keep change flip

13/2 × 4/3

13×4= 52

2×3= 6

52/6= 8 2/3

I hope this helps:

The stock market dropped 220 points on Monday. It lost another 48 points on Tuesday, and on Wednesday, it gained 96 points. What was the amount of change over those three days.

Request you to finish this please

Answers

48 points gained in those 3 days.

Subtract 220 with 48, then add 96. Last step would be subtracting 220 with the amount they have now in those 3 days to find how much points the stock market gained in those 3 days.

Subtract 220-48.It‘ll be 172.

Add 172 with 96. 172+96=268.

Subtract 268 with how much points the stock market had 3 days ago. 268-220.

Sot eh stock market gained 48 points in 3 days.

4/5 as an equivalent fraction in 3 different forms

Answers

Answer:

4/5=8/10=16/15=20/30

Step-by-step explanation:

there you go may u help me on my question now pls i rlly need help.

please help me please i really need help

Answers

Answer:

Step-by-step explanation: It you start by getting rid of the 1/2x+1/2x it makes x=x/1. X/1 is x so x=x. X can be anything!

0 = 1 ; no solution.

Ummmmmmmmmmm...Halp.......IM KINDA DESPERATE

Answers

Answer:

1 and 4 and maybe 2 the conversions are below in order

Step-by-step explanation:

12.6>8

-4.5<.3

3<2.2

3.1<9

1.3<1.2

hope this helps im not positive about the second one being true or not

Write the standard form of the equation of the line parallel to the graph of 9x + 3y = 6 that passes through (0,3).​
SHOW YOUR WORK

Answers

Answer:

y + 3x = 3

Step-by-step explanation:

Standard Form of the Equation of a Line

The equation of a line in standard form is:

Ax + By = C

Where A, B, and C are constants.

The equation of a line can also be expressed in slope-intercept form, where m is the slope, and b the y-intercept:

y = mx + b

Two lines are parallel if they have the same slope, that is if m1 is the slope of a given line, and m2 is the slope of a parallel line, then m2=m1.

We are given the line:

9x + 3y = 6

Dividing by 3:

3x + y = 2

Solving for y:

y = -3x + 2

The slope of this line is m1=-3, thus the slope of the required line is also m2=-3.

The equation of that required line is:

y = -3x + b

We still don't have the value of b. To find it, we substitute the coordinates of the given point (0,3):

3 = -3(0) + b

Thus, b = 3.

The required equation of the line is:

y = -3x + 3

To write it in standard form, we add 3x:

y + 3x = 3

SOS! Can some please help me!

Answers

Answer:

8.9

Step-by-step explanation:

1. DE:BC=AD:AB

2. AD=AB+BD, but according to the conditions AB=5, then

AD=5+BD.

3. after the substitution DE=16; BC=9; AB=5 and AD=5+BD into the formula:

16:9=(5+BD):5;

[tex]\frac{16}{9} =\frac{BD+5}{5};[/tex]

BD=80/9 - 5≈3.9.

4. if AD=AB+BD, then AD=5+3,9=8,9

Answer:

8.9 is your answer to the question

A package of spaghetti weighs 238 grams. How many ounces does the package weigh? 1 oz = 28 g.

Answers

Answer: 8.5

Step-by-step explanation: 238 / 28 = 8.5

8.5 oz

The package of spaghetti weighs 8.5 ounces.

To find out how many ounces the package of spaghetti weighs, we can use the conversion factor that 1 ounce is equal to 28 grams.

Given that:

package of spaghetti weighs 238 grams, we can convert this to ounces by dividing it by the conversion factor:

= 238 grams / 28 g/oz

= 8.5 ounces

Therefore, the package of spaghetti weighs 8.5 ounces.

Learn more about Unit Conversion here:

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Can someone please solve this and explain how to solve it with all the steps

Answers

Answer:

here this should be the answer

Revenue from Monorail Service, Las Vegas In 2005 the Las Vegas monorail charged $3 per ride and had an average ridership of about 28,000 per day. In December 2005 the Las Vegas Monorail Company raised the fare to $5 per ride, and average ridership in 2006 plunged to around 19,000 per day.

a. Use the given information to find a linear demand equation.
b. Find the price the company should have charged to maximize revenue from ridership. What is the corresponding daily revenue?
c. The Las Vegas Monorail Company would have needed $44.9 million in revenues from ridership to break even in 2006. Would it have been possible to break even in 2006 by charging a suitable price?

Answers

Answer:

A)The required linear demand equation ( q ) = -4500p + 41500

B) $4.61

   $95680.55

C) No it would not have been possible by charging a suitable price

Step-by-step explanation:

A)  find the linear demand equation

given two points ; ( 3, 28000 ) and ( 5, 19000 )

slope ( m ) = ( y2 - y1 ) / ( x2 - x1 )

                 = ( 19000 - 28000 ) / ( 5 - 3 )  = -4500

slope intercept is represented as ; y = mx + b

where y( 28000) = -4500(3) + b

  hence b = 41500  

hence ; y = -4500x + 41500

The required linear demand equation ( q ) = -4500p + 41500   ----- ( 1 )

p = price per ride

B ) Determine the price the company should charge to maximize revenue from ridership  and corresponding daily revenue

Total revenue ( R ) = qp

                               = p ( -4500p + 41500 )

  hence R = -4500p^2 + 41500p  ------ ( 2 )

To determine the price that should maximize revenue from ridership we will equate R = -4500p^2 + 41500p  to a quadratic equation R(p) = ap^2 + bp + c

where a = -4500 ,  b = 41500 , c = 0

hence p = [tex]-\frac{b}{2a}[/tex]  = [tex]- \frac{41500}{2(-4500)}[/tex] =  4.61

$4.61 is the price the company should charge to maximize revenue from ridership

corresponding daily revenue = R = -4500p^2 + 41500 p

where p = $4.61

hence R = -4500(4.61 )^2 + 41500(4.61) = $95680.55

C) No it would not have been possible by charging a suitable price

The product of 4 and – 7, added to – 12 .

Answers

I think the answer is -40


John had $55 He spent $3 per day for nine days. Then he was given $12 to divide equally between himself and his two cousins. John used the following expression to calculate the ar
after splitting the money with his cousins

Based on this expression, what is the amount of money John had remaining?

Answers

Answer:

$32

Step-by-step explanation:

55-(9•3)+4

what do you call cheese that isn't yours? ​

Answers

NACHOOO CHEESE
Thanks for the free points have a good day!!!

Find the quotient
960 = 18

Answers

Answer:

54 R 6

Step-by-step explanation:

960 / 18 = 53 with a remainder of 6

Answer:

53 R 6

Step-by-step explanation:

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