Question:
Kira is using the figure shown to prove the Pythagorean theorem. She starts by writing the
equation [tex](a+b)^2 - c^2 = 4(\frac{1}{2}ab )[/tex] because she knows two equal ways to represent the area
of the shaded region. Which best describes the next steps Kira should take to complete her
proof?
Answer:
The correct option is;
d. Simplify both sides of the equation to get a² + 2·a·b + b² - c² = 2·a·b then subtract 2·a·b and add c² to both sides of the equation
Step-by-step explanation:
Here we have
The area of the larger square = (a + b)²
The area of the middle plain shaded square = c²
∴ Area of the shaded region = (a + b)² - c²
The shaded region consists of for right triangles of base, a and height, b therefore, the area of the shaded region is also the area of the four right triangles = 4 × (1/2 × base × height)
= 4×1/2×a×b = 4(1/2·a·b)
Hence area of the shaded region also = 4(1/2·a·b)
Therefore, (a + b)² - c² = 4(1/2·a·b)
Which is a² + 2·a·b + b² - c² = 4 × 1/2 × a·b = 2·a·b
∴ a² + 2·a·b + b² - c² = 2·a·b
Hence a² + 2·a·b + b² - c² + c² = 2·a·b + c² gives
a² + 2·a·b + b² = 2·a·b + c² gives
Also a² + 2·a·b + b² - 2·a·b = 2·a·b + c² - 2·a·b gives
a² + b² = c² which is Pythagoras theorem
Answer:
the last
Step-by-step explanation:
Please need this by the 16th
Answer:
60
Step-by-step explanation:
12 can be broken into 3*4
15 = 5*3
The least factors are
3*4*5 = 60
The lowest common denominator is 60
Answer:
7/12= 35/60
7/15= 28/60
What is it that when you take away the whole, you still have some left over?
Answer:
wholesome!!! brainliest pls :)
Answer:
wholesome
Step-by-step explanation:
you take away the first word which is whole
and u still have the word some left over
hope this helped if this isnt what ur looking for plz tell me
What is the LCD of 2/5 and 1/10
the answer is 10 3ewrrrrrrrfcgjhfdhjxgfcgv
Write down all the factors of 15.
Answer:
1,3,5,15
Step-by-step explanation:
Answer:
Step-by-step explanation:
Factors of 15:
1 , 3 , 5 , 15
Jane purchased a prepaid phone card for $30. Long distance calls cost 16 cents a minute using this card. Jane used bet card only once to make a long distance call. If the remaining credit on her card is $28.24, how many minutes did her call last?
Answer:
she was talking for 11 minutes
Step-by-step explanation:
take 30$ and subtract the money she has left. take that total and divide by 0.16$
left with .11 which is 11 minutes
What is the numerical value of 3.14159
Answer:
Pi
Step-by-step explanation:
So pi goes on forever but i and guessing you are look for pi, here are the first 100 digits: 3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679.
Answer:
Step-by-step explanation:
pi=3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067982148086513282306647093844609550582231725359408128481117450284102701938521105559644622948954930381964428810975665933446128475648233786783165271201909145648566923460348610454326648213393607260249141273724587006606315588174881520920962829254091715364367892590360011330530548820466521384146951941511609433057270365759591953092186117381932611793105118548074462379962749567351885752724891227938183011949129833673362440656643086021394946395224737190702179860943702770539217176293176752384674818467669405132000568127145263560827785771342757789609173637178721468440901224953430146549585371050792279689258923542019956112129021960864034418159813629774771309960518707211349999998372978049951059731732816096318595024459455346908302642522308253344685035261931188171010003137838752886587533208381420617177669147303598253490428755468731159562863882353787593751957781857780532171226806613001927876611195909216420198938095257201065485863278865936153381827968230301952035301852968995773622599413891249721775283479131515574857242454150695950829533116861727855889075098381754637464939319255060400927701671139009848824012858361603563707660104710181942955596198946767837449448255379774726847104047534646208046684259069491293313677028989152104752162056966024058038150193511253382430035587640247496473263914199272604269922796782354781636009341721641219924586315030286182974555706749838505494588586926995690927210797509302955321165344987202755960236480665499119881834797753566369807426542527862551818417574672890977772793800081647060016145249192173217214772350141441973568548161361157352552133475741849468438523323907394143334547762416862518983569485562099219222184272550254256887671790494601653466804988627232791786085784383827967976681454100953883786360950680064225125205117392984896084128488626945604241965285022210661186306744278622039194945047123713786960956364371917287467764657573962413890865832645995813390478027590099465764078951269468398352595709825822620522489407726719478268482601476990902640136394437455305068203496252451749399651431429809190659250937221696461515709858387410597885959772975498930161753928468138268683868942774155991855925245953959431049972524680845987273644695848653836736222626099124608051243884390451244136549762780797715691435997700129616089441694868555848406353422072225828488648158456028506016842739452267467678895252138522549954666727823986456596116354886230577456498035593634568174324112515076069479451096596094025228879710893145669136867228748940560101503308617928680920874760917824938589009714909675985261365549781893129784821682998948722658804857564014270477555132379641451523746234364542858444795265867821051141354735739523113427166102135969536231442952484937187110145765403590279934403742007310578539062198387447808478489683321445713868751943506430218453191048481005370614680674919278191197939952061419663428754440643745123718192179998391
how to find the mean median and mode for 6 5 6 7 6 6 7 4 6 7 7 6 7 7 7 4 7
Answer:
the answer is 7 fiyfooutdt7odtudoutdup tiff 7tduptftucoutctuco7tc
Answer:
the medium is 7
Step-by-step explanation:
Which of the following options have the same value as %25, percent of 64? Choose 2 answers:
A 25⋅64
B 25/100⋅64
C 0.25⋅64
D 64÷ 25/100
E 25÷ 64/100
Answer:
B and C
Step-by-step explanation:
25% of 64 is 16. So find the two answers that are equivalent to 16.
A: 25*64 = 1600 [tex]\neq[/tex] 16
B: [tex]\frac{25}{100}[/tex]*64 = 16
C: 0.25 * 64 = 16
D: 64/[tex]\frac{25}{100}[/tex] =256 [tex]\neq[/tex] 16
E: 25/[tex]\frac{64}{100}[/tex] = 39.06 [tex]\neq[/tex] 16
Answer:
its b and c. had the same problem.
Helppppppppppppppppppppppp
Answer:
9
Explanation: the answer is 9 because 15 is 3 times 5 so you would have to multiply 3 by 3 to mark it to scale.
What are opposite numbers
Answer:
Opposite numbers are numbers that, when placed on a number line, are the exact same distance away from the 0, but on opposite sides/opposite directions
Answer:
Opposite number or additive inverse of any number (n) is a number which, if added to n, results in 0, the identity element of addition. The opposite number for n is written as −n. For example, −7 is opposite to 7, because with −7+7=0
You can say that the opposite number of a number, is the negative version of the positive number. This is what the opposite of 7 is or the opposite of -7.
a trapezoid has bases that measure 9cm and 5 cm. the height of the figure is 4cm. what is the area of the trapezoid
Answer:
28cm^2
Step-by-step explanation:
The area of a trapezoid is the bases added divided by two times the height.
(9+5)/2*4=7*4=28
28cm^2
Two distinct number cubes, one red and one blue, are rolled together. Each number cube has sides numbered 1 through 6.
What is the probability that the outcome of the roll is a sum that is a multiple of 6 or a sum that is a multiple of 4?
Enter your answer, in simplest fraction form, in the box.
Answer:
7/18
Step-by-step explanation:
First we need to find what values of sum we can have.
The minimum value for a cube is 1, so the minimum value for the sum is 2.
The maximum value for a cube is 6, so the maximum value for the sum is 12.
Now, we find the multiples of 6 and the multiples of 4 between 2 and 12:
4, 6, 8, 12.
To have a sum of 4, we can have the pairs:
(1,3), (2,2), (3,1)
To have a sum of 6, we can have the pairs:
(1,5), (2,4), (3,3), (4,2), (5,1)
To have a sum of 8, we can have the pairs:
(2,6), (3,5), (4,4), (5,3), (6,2)
To have a sum of 12, we can have the pairs:
(6,6)
So we have 14 pairs among the 36 (6 possibilities of each cube, so 6*6=36) total possibilities of pairs, so the probability is P = 14/36 = 7/18
The probability that the outcome of the roll is a sum that is a multiple of 6 or a sum that is a multiple of 4 is, [tex]P(E)=\frac{14}{36}=\frac{7}{18}[/tex]
The probability of any event is computed as divide number of favourable outcomes by total number of outcomes.
The sum that is a multiple of 6 or a sum that is a multiple of 4 are 4, 6, 8 and 12.
For sum of 4, we can have the pairs = (1,3), (2,2), (3,1)
For sum of 6, we can have the pairs: = (1,5), (2,4), (3,3), (4,2), (5,1)
For sum of 8, we can have the pairs = (2,6), (3,5), (4,4), (5,3), (6,2)
For sum of 12, we can have the pairs = (6,6)
Total number of favourable outcomes = 14
When two distinct number cubes are rolled. then,
Total number of outcomes [tex]=6^{2}=36[/tex]
The probability that the outcome of the roll is a sum that is a multiple of 6 or a sum that is a multiple of 4,
[tex]P(E)=\frac{14}{36}=\frac{7}{18}[/tex]
Learn more:
https://brainly.com/question/21390249
A custodian carries a large key ring. The key ring has a radius of 4 centimeters. What is the key ring's circumference?
Answer:
About 25.13
Step-by-step explanation:
circumference equation: 2pi(r)
2pi(4) = 25.13
How many solutions does this equation have?
0 = 2z − 2z
Answer:
infinitly many solutions
Step-by-step explanation:
0=2z-2z
2z-2z=0
so 0=0
infinitly many
help it's urgent!!!
Solve the system of linear equations by elimination.
x + y = 7
5x + 2y = 8
Answer:
(-2, 9)
Step-by-step explanation:
1) Multiply each term of the top equation by two.
2(x) + 2(y) = 2(7)
2x + 2y = 14
2) Use elimination to get rid of the y's
2x + 2y = 14
-(5x + 2y = 8)
Translates to...
2x + 2y = 14
+ (-5x - 2y = -8)
= -3x = 6
3) Solve for x by dividing each side of the equation by -3.
[tex]\frac{-3x}{-3} = \frac{6}{-3}[/tex]
x = -2
4) Plug in x to find the y-value
x + y = 7
-2 + y = 7
-2 + 2 + y = 7 + 2
y = 9
I hope this helps!
Mean temperature: 78°
Standard deviation: 5°
Washington, DC
July 4: 1952 - 2011
Average Daily Temperature
Check all of the temperatures that are within one
standard deviation of the mean
o 72°
74°
799
84
Number of Years
C) ONO
DONE
Average Temperature
Answer:
74 and 79
Step-by-step explanation:
one standard deviation= 5°
range of one standard deviation: (78-5) to (78+5)
73° to 83°
Suppose the board of directors for Cosmic Coffee wants to know the price range for the lowest 40% of drink sales. Find the z-score associated with the upper boundary of of this price range.
Answer:
The z-score associated with the upper boundary of of this price range is -0.25.
Step-by-step explanation:
It is provided that the board of directors for Cosmic Coffee wants to know the price range for the lowest 40% of drink sales.
If X represents the price range of drink sales, then
P (X < x) = 0.40
Consider that X follows a Normal distribution.
To compute the probability of a normally distributed random variable we need to first convert the raw score to the z-scores.
The formula to z-score is:
[tex]z=\frac{X-\mu}{\sigma}[/tex]
Then,
P (X < x) = 0.40
⇒ P (Z < z) = 0.40
The value of z for this probability is:
z = -0.25
*Use a z-table.
Thus, the z-score associated with the upper boundary of of this price range is -0.25.
Answer:
-0.25
Step-by-step explanation:
correct on plato
What fraction completes the equation using a like denominator when adding 1/3 + 3/6 ?
1/3 + 3/6 = ?/? + 3/6
Answer:
The answer is 2/6 .
Step-by-step explanation:
In order to make the denorminator the same, you have to multiply both numerator and denorminator by 2 :
[tex] \frac{1 \times 2}{3 \times 2} [/tex]
[tex] = \frac{2}{6} [/tex]
PLEASE HELP ME!!!
I have 5 pinks, 4 yellow, 3 orange, and 3 red starbursts. What is the probability that I will randomly pick a yellow starburst, put it back in the bag, and then randomly pick an orange starburst?
A. 7/15
B. 4/75
C. 4/15
D. 3/15
Answer:
B. 4/75
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
For each trial:
The probabilities of picking each startbust are the same, so each event is independent.
Independent events:
Two events, A and B, we have that:
[tex]P(A \cap B) = P(A) \times P(B)[/tex]
In this question:
Event A: Yellow starburst on the first trial.
Event B: Orange starbust on the second trial.
4 yellow out of 5+4+3+3 = 15 starbursts.
This means that [tex]P(A) = \frac{4}{15}[/tex]
3 orange out of 15 starbursts.
This means that [tex]P(B) = \frac{3}{15}[/tex]
Probability of A, then B:
[tex]P(A \cap B) = P(A) \times P(B) = \frac{4}{15} \times \frac{3}{15} = \frac{4*3}{15*15} = \frac{4}{15*5} = \frac{4}{75}[/tex]
So the correct answer is:
B. 4/75
What is the value of q2– p2 for q = 4 and p = 2?
O A. 2
B. 4
C. 8
O D. 12
E.
14.
Answer:
q2- p2
4*2-2*2
8-4
B.4
Step-by-step explanation:
The value of q² - p² is 12 for the given value of p and q.
What is Function?A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.
Given, The value of p = 2 and q = 4
the value of q² - p² for the given value
=> q² - p² = 16 - 4
=>q² - p² = 12
therefore, For the specified values of p and q, the value of q2 - p2 is 12.
Learn more about function here:
https://brainly.com/question/21145944
#SPJ5
(6^4)(6^−2) = please help will get brainliest!
Answer:
4-2=2 6^2=36
Step-by-step explanation:
Answer:
= 36 3/35
Step-by-step explanation:
(6)^4 × (6^-2)
= 1290 × 1/36
= 1290/36
= 36 3/35
a car salesman has 7 used cars for sale. They have a mean price of $8000. What is the total price of all 7 cars?
Answer:
$155282862040271282939285047182828282828
Betty turned 71 this year but in three more years she will be twice as old as her daughter. How old is her daughter now
Answer: Betty's daughter is 34 years old now.
Step-by-step explanation:
So Betty is currently 71. In three years, she will be 74. So she will be twice as old as her daughter at the age of 74. To find out how old Betty's daughter is in 3 years, I will divide 74 by 2, which is 37 (74/2). Finally, I will subtract the original 3 years from the 37 years of age of Betty's daughter, and I will get my answer for how old Betty's daughter is, which is 34 years old.
-32=2(x2 + 10x)
what are the steps to solve this
Answer:
idk reeeeeeeeee
Step-by-step explanation:
idkreeeeeeeeee
Answer: x= -4/3
Step-by-step explanation:
1) Ok first you want to distribute 2 with 2x and 10x , so multiply 2 with 2x and 10x
You would get -32= 4x+20x
2) then you add the x together which is -32= 24x
3) your goal is to get x by itself,what u would do is divide 24 on both sides and you are left with -32/24= x
4) be careful you are not done yet because you have to simplify-32/24, if you simply it, you would get -4/3 because -32 and 24 is divisible by 8.
So your answer would be x = -4/3
A circular table top has an area of 324 square inches. Which
measurement is closest to the radius of the table top in inches?
Answer:
10 inches (10.19)
Step-by-step explanation:
How many solutions does this equation have?
–6 − 8r = 8 − r
Answer:
1
Step-by-step explanation:
–6 − 8r = 8 − r
− 8r - r = 8 + 6
-9r = 14
r = -14/9
Answer:
r =-2
Step-by-step explanation:
–6 − 8r = 8 − r
Add r to each side
–6 − 8r+r = 8 − r+r
-6 -7r = 8
Add 6 to each side
-6+6 -7r = 8+6
-7r = 14
Divide each side by -7
-7r/-7 = 14/-7
r =-2
On your birthday you receive an iPhone valued at $899. The value of the iPad decreases by 25% each year. What will its value be 4 years from now?
Answer:
284.765625
Step-by-step explanation:you get by subtracting 25% from 900 4 times
Answer: 56.18
Step-by-step explanation: if you know about the line equals line method, that should be able to help.
224.75 25%
----------------=-----------------
899 100%
you then cross multiply 899 and 25 then divide it by 100.
that will be the drop per 1 year so than divide 224.75 with 4 and then your answer should be 56.18
Question 4(Multiple Choice Worth 1 points) (03.05 MC) What does > −2 indicate about the position of and −2 on the number line? is located on the right of −2 is located on the left of −2 is located on the right of 0 and −2 is located on the left of 0 is located on the left of 0 and −2 is located on the right of 0
Corrected Question
What does [tex]-\dfrac35>-2[/tex] indicate about the position of [tex]-\dfrac35[/tex] and −2 on the number line?
Options
negative 3 over 5 is located on the right of −2
negative 3 over 5 is located on the left of −2
negative 3 over 5 is located on the right of 0 and −2 is located on the left of 0
negative 3 over 5 is located on the left of 0 and −2 is located on the right of 0
Answer:
(A)negative 3 over 5 is located on the right of −2
Step-by-step explanation:
Given the inequality: [tex]-\dfrac35>-2[/tex]
On a number line, numbers are written from the left to the right in ascending order.
Therefore:
Any number y to the right of another number x is greater than x, y>x.Any number a to the left of another number x is less than b, a<b.Negative numbers are to the left of 0.In the given inequality [tex]-\dfrac35>-2[/tex] , both numbers are negative and are therefore to the left of 0.
However, since [tex]-\dfrac35[/tex] is greater than -2, it is located to the right of -2 .
The correct option is A.
Answer:
Step-by-step explana
What is the answer to that
Answer:
(1/3)x + 3 >= 3
<=> (1/3)x >= 0
<=> x >= 0
=> The only value from set satisfies, that is 0.
Hope this helps!
:)
Answer:
0
Step-by-step explanation:
⅓x + 3 》3
⅓x 》0
x 》0
These two I don’t know
Answer:
In this subtraction, PR5T and 47Y6 represent 4-digit numbers. What number does PR5T represent?
PR5T - 47Y6 = 1998
Step-by-step explanation: