If a² + b² = c², then which of the following are also true? Select all that apply
Options
a² - b² = c²
b² + a² = c²
c² + a² = b²
c² - a² = b²
c² - b² = a²
Answers
Answer:
Option 2 , 4 & 5 are true.
Step-by-step explanation:
● Option 2 is equivalent to a² + b² = c².
● Option 4 & 5 can be found by :-
Substracting a² from both the L.H.S. & R.H.S. (It will match with Option 4)Or substracting b² from both the L.H.S & R.H.S. (It will match with Option 5)Related Questions
What is the perimeter, in centimeters, of a rectangle that has a length of 4 centimeters and a width of 15 millimeters?
Answers
Is anybody able to help me with math?
Answers
Answer:
maybe
Step-by-step explanation:
which expression gives the value of QR?
a. 67 sin 80 degrees over sin 52 degrees
b. 67 sin 52 degrees over sin 80 degrees
c. 51 tan 52 degrees
d. 51 sin 80 degrees over cos 52 degrees
Answers
Answer:
B
Step-by-step explanation:
using the Sine Rule in Δ QRS
\(\frac{QR}{sinS}\) = \(\frac{RS}{sinQ}\) ( substitute values )
\(\frac{QR}{sin52}\) = \(\frac{67}{sin80}\) ( cross- multiply )
QR × sin80° = 67 × sin52° ( divide both sides by sin80° )
QR = \(\frac{67sin52}{sin80}\)
The time that customers wait to be served at the delicatessen for a grocery store follows the uniform distribution between 0 and 7 minutes. What is the probability that a randomly selected customer will wait more than 4 minutes at the? deli?
A. 0.1429
B. 0.4286
C. 0.5714
D. 0.2857
Answers
Answer:
\( P(X>4)\)
And we can use the cumulative distribution fucntion given by:
\( F(x) =\frac{x-a}{b-a} , a \leq x \leq b\)
And if we use this formula with the complement rule we have:
\( P(X>4)= 1-P(X<4) =1- F(4) =1-\frac{4-0}{7-0}= 1-0.5714= 0.4286\)
And the best option would be:
B. 0.4286
Step-by-step explanation:
Let X the random variable that represent the time that customers wait to be served at the delicastessen for a grocery store. And we know that the distribution for X is given by:
\( X \sim Unif( a=0, b=7)\)
And we want to find the follwing probability:
\( P(X>4)\)
And we can use the cumulative distribution fucntion given by:
\( F(x) =\frac{x-a}{b-a} , a \leq x \leq b\)
And if we use this formula with the complement rule we have:
\( P(X>4)= 1-P(X<4) =1- F(4) =1-\frac{4-0}{7-0}= 1-0.5714= 0.4286\)
And the best option would be:
B. 0.4286
The probability that a randomly selected customer will wait more than 4 minutes at the delicatessen is 0.4286.
Given The time that customers wait to be served at the delicatessen for a grocery store follows the uniform distribution between 0 and 7 minutes {1,2,3,4,5,6,7}.
We have to calculate probability that a randomly selected customer will wait more than 4 minutes at the delicatessen. So for more than 4 minutes their is only 3 outcomes possible {5,6,7} because the data is uniformly distributed.
Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.
Probability (Event) = Favorable Outcomes/Total Outcomes = x/n
Now, probability (more than 4 minute)\(= \frac{3}{7}\)
probability (more than 4 minute)\(= 0.4286\).
Hence the probability that a randomly selected customer will wait more than 4 minutes at the delicatessen is 0.4286.
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Which expression is equivalent to:
−6x+10−16
2(3x+10−8)
−2(3x−5+8)
−2x(3−5+8)
2x(−3−10−8)
Answers
Answer:
from the given equation
Step-by-step explanation:
eqn 1 = eqn 3= eqn 4
these all are equivalent
Let X and Y be the following sets:
X = {5, 6, 10, 12, 15, 18}
Y = {6, 10, 12, 15)
Which of the following is the set X UY?
Answers
Answer:
i think the answer is X, because the elements of both X and Y are in X
Factor this trinomial 4x^2-6x-10 If you can please try to show me how to do it.
Answers
Answer:
\(=2(2x-5)(x+1)\)
Step-by-step explanation:
So we have the trinomial:
\(4x^2-6x-10\)
First, factor out a 2:
\(=2(2x^2-3x-5)\)
Now, factor within the parentheses.
To do so, we want to find two numbers. When multiplied, these two numbers must equal (a)(c) and when added, they must equal b
(a)(c) is 2(-5) or -10 and b is -3. So, we want two numbers that when multiplied together gives -10 and when added gives -3.
-5 and 2 works. Therefore:
\(=2(2x^2-3x-5)\)
Replace -3x with 2x and -5x:
\(=2(2x^2+2x-5x-5)\)
Factor out a 2x for the first two terms. And factor out a negative 5 for the remaining two:
\(=2(2x(x+1)-5(x+1))\)
Grouping:
\(=2(2x-5)(x+1)\)
And we're done!
1. The full Renegade dance Jalaiah created is 56 seconds long. For a 15-second-long TikTok, what percent of Renegade is used?
Answers
Answer:
3.7
Step-by-step explanation:
You have to divide
Answer:
i do not know tbh .
Step-by-step explanation:
Find the remainder when
f(x) = 8x^3 + 4x^2 – 13x + 3
is divided by 2x + 5.
A. 1241/125
B. -129/2
C. 69/125
D. 183
Answers
Dividing f(x) by 2x + 5 leaves the same remainder as division by x + 5/2. By the remainder theorem, it is equal to f (-5/2), so the remainder here is
f (-5/2) = 8 (-5/2)³ + 4 (-5/2)² - 13 (-5/2) + 3 = -129/2
any local College 63 of the male students are smokers in 147 or non-smokers the female students 70 or smokers and 130 are non-smokers a male student and a female student from the college are randomly selected for a survey what is the probability that both are smokers
Answers
Answer:
To find the probability that both a randomly selected male student and a randomly selected female student are smokers, we can use the formula for conditional probability: P(A and B) = P(A) * P(B|A), where A is the event that the male student is a smoker and B is the event that the female student is a smoker.
First, we need to find the probability that a randomly selected male student is a smoker:
P(A) = (number of male smokers) / (total number of male students) = 63 / (63 + 147) = 63/210
Next, we need to find the probability that a randomly selected female student is a smoker, given that the male student is a smoker:
P(B|A) = (number of female smokers and male smokers) / (number of male smokers) = 70 / 63
Finally, we can find the probability that both students are smokers by multiplying these two probabilities together:
P(A and B) = P(A) * P(B|A) = (63/210) * (70/63) = 0.09
So the probability that both a randomly selected male student and a randomly selected female student are smokers is 0.09 or 9%.
Step-by-step explanation:
Rewrite the percentage in the sentence below as a decimal.
The 20 overseas investors own 7.2% of the business.
Answers
Answer:
0.072
Step-by-step explanation:
Answer:0.072
Step-by-step explanation:
7.2% = 7.2/100
7.2 ➗ 100=0.072
Find the general solution of the given differential equation x2 y’ -2xy = x4 + 3
Answers
\( \times 2 \: y \: - 2xy = \times 4 + 3 = \times - \frac{3}{4} \: y \: e \: r\)
As the Type II error, β,of a statistical test increases, the power of the test _____________.
Answers
Answer:
decreases.
Step-by-step explanation:
Type II error is one in which we fail to reject the null hypothesis that is actually false. Null hypothesis is a statement that is to be tested against the alternative hypothesis and then decision is taken whether to accept or reject the null hypothesis. The power of Type II error is 1 - \(\beta\). As the power increases the probability of Type II error decreases.
solve simultaneously 2x - y = - 10 and 3x + 2y = - 1
Answers
The solution to the system of equations is x = -3 and y = -4.
To solve the system of equations:
Equation 1: 2x - y = -10
Equation 2: 3x + 2y = -1
We can use the method of substitution or elimination to find the values of x and y.
Let's use the method of elimination:
Multiply Equation 1 by 2 to make the coefficients of y in both equations equal:
2(2x - y) = 2(-10)
4x - 2y = -20
Now, we can eliminate y by adding Equation 2 and the modified Equation 1:
(3x + 2y) + (4x - 2y) = -1 + (-20)
7x = -21
x = -3
Substitute the value of x into Equation 1 to solve for y:
2(-3) - y = -10
-6 - y = -10
y = -10 + 6
y = -4
Therefore, the solution to the system of equations is x = -3 and y = -4.
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you are sitting on the edge of a pool with your legs in the water .as light waves pass from the pool into the air it look like your legs are not attached at the knees where they meet the water.this is because when they pass from one medium to another
Answers
Answer: The reason they do this is water refraction. I don't know if this was a question or not, but here you go.
Tom owns the Leaky Caludron and is selling pumpkin juice and lemon squash.
Tom must buy gallons of pumpkin juice for $2.50 and packs of squash for $3.50.
Tom spent $30 on juice and $42 on squash. What expression represents Tom's profit made for when he sells p pumpkin juice and s lemon squash?
Answers
Therefore , the solution of the given problem of expressions comes out to be Earnings = xp + ys - 72.
What does an expression actually imply in practice?Instead of generating approximations at random, it is better to use moving numbers which can be expression, decreasing, or blocking. They could only help one another by sharing materials, information, or solutions to issues. A truth statement may include methods, elements, and notations in opposition to arithmetic operations like extra denial, synthesis, and combination.
Here,
Let's employ these variables:
=> J = $2.50
=> S = $3.50
Tom bought juice for $30. Jp = $30
Tom purchased squash for $42: Ss = $42
Tom's profit is determined by deducting the expense from the revenue. The sum of the price and the number of units distributed is the revenue:
Pumpkin puree revenue: p * gallon price
Lemon squash sales revenue: s * box price
=> Income = px + sy
The revenue less the expense equals Tom's profit:
Revenue minus costs equals profit.
=> Profit = (px + sy - (Jp + Ss))
Inputting the numbers provided yields:
=> Xp + Ys - 30 - 42 = Profit
=> Earnings = xp + ys - 72
Determining Tom's earnings when he sells p gallons of pumpkin juice and s packs of lemon squash is as follows:
=> Earnings = xp + ys - 72
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estimate the answer for 1 2/3 x 5 1/10 (type a whole number
Answers
Answer:
Exact Form:
17/2
Decimal Form:
8.5
Mixed Number Form:
8 1/2
1. Prove ~ (Pvq) <=> (~P^~9).
Algebra of propositional variables
2. P^ q = q^q
P v q = q v p
show that both are commutative
Answers
Based on the information, both ∧ (conjunction) and ∨ (disjunction) satisfy the commutative property.
How to explain the commutative property.It should be noted that to prove the commutativity of the logical connectives ∧ (conjunction) and ∨ (disjunction), we need to show that they satisfy the commutative property
From the truth table, both P ∧ Q and Q ∧ P have the same truth values for all combinations of truth values of P and Q. Therefore, we can conclude that P ∧ Q ≡ Q ∧ P, and ∧ (conjunction) is commutative.
In order to prove P ∨ Q ≡ Q ∨ P, we construct a truth table for both expressions. Both P ∨ Q and Q ∨ P have the same truth values for all combinations of truth values of P and Q. Therefore, we can conclude that P ∨ Q ≡ Q ∨ P, and ∨ (disjunction) is commutative.
Hence, both ∧ (conjunction) and ∨ (disjunction) satisfy the commutative property.
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I got this wrong as well. Can someone explain to me this?
Answers
Answer:
-1.5 and 1.5
I don't have those sings but -1.5 goes on the first box and 1.5 goes on the second one
Find the length of KC
Answers
Answer:
54
give me brainliest please please please and follow my page
Step-by-step explanation:
To find length of KC...we need to find the length of HM and MU first ...
so....HM= 96- 78 = 14
JU = 96 + HM = 96 + 14 = 110
....
KU = 110 - JK = 110 - 82 = 28
....
UN = 105+ 82 -( 96 + 14 )
187 - 110
= 77
UC = 77 - 51 = 26
KC = UC + KU = 26 + 28 = 54
The length of \(\overline{KC}\) along line \(\overline{JN}\) is given as 54 (Option A) See the computation below.
How do you compute the length of \(\overline{KC}\)?To determine the length of \(\overline{KC}\), the length of \(\overline{HM}\) and \(\overline{MU}\)must first be derived.
\(\overline{HM}\) = 96 - 78
\(\overline{HM}\) = 14
\(\overline{JU}\) = 96 + \(\overline{HM}\)
= 96 + 14
\(\overline{JU}\)= 110
\(\overline{KU}\) = 110 - \(\overline{JK}\)
= 110 - 82
\(\overline{KU}\)= 28
\(\overline{UN}\) = 105+ 82 -( 96 + 14 )
=187 - 110
\(\overline{UN}\)= 77
\(\overline{UC}\) = 77 - 51
\(\overline{UC}\)= 26
Thus,
\(\overline{KC}\) = \(\overline{UC}\) + \(\overline{KU}\)
\(\overline{KC}\)= 26 + 28
\(\overline{KC}\)= 54
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y bank statement sent by the bank to ABC company shows a balance of cash on deposit at July 31 of Br.4,964.47 Assume that on July 31, assume the on July 31, ABCs ledger shows a bank balance of Br. 4 173. 83. 1. A deposit of Br 410. 90 made after banking hours and doesnt appear in the bank statement2. A check drawn for Br. 79 had been erroneously charged by the bank Br.973. For checks issued in July have not yet been paid by the bank (outstanding checks). : Theses checks are;- Check No date amount 801 June 15 ---Br.100,00 888 July 24 ----Br. 10.25 890 July 27--- Br. 294.50 891 July 30 ---Br. 205.004. A check written for birr 210 had been incorrectly charged by the bank as birr 120 5. Proceeds from collection of a interest bearing note receivable from David. ABC Company had left this note with the banks collection department. The face amount of the note was birr 500 6. Br. 24.75 interest earned on average account balance during July7. A check for Br. 10 returned with the statement had been recorded in the check register as Br. 100. The check was for the payment of an obligation to Davis Equipment Company for the purchase of office supplies on account 8. Br. 5,00 fee charged by bank for handling collection of note receivable 9. Br. 50.25 check from customer John deposited by ABC company charged bank as Non sufficient fund (NSF) 10. Br. 12.70 service charged by bank for the month of July. 11. Check number 875 was issued July 20 in the amount of Br 85 but was erroneously recorded in the cash payment Journal as Br 58 for payment of telephone expens prepare bank reconcilation
Answers
The adjusted bank balance after reconciling is Br. 5,224.42.
How the bank reconciliation will be prepared?To prepare the bank reconciliation, we have to analyze the differences between the bank statement balance and the company's ledger balance.
Details
Bank statement balance of Br. 4,964.47 at July 31.
Add: Deposit made after banking hours Br. 410.90
New balance: Br. 5,375.37.
Deduct Erroneously charged check of Br. 79
New balance Br. 5,296.37.
Deduct Outstanding checks:
Check No. 801 of Br. 100.00 (issued on June 15).
Check No. 888 of Br. 10.25 (issued on July 24).
Check No. 890 of Br. 294.50 (issued on July 27).
Check No. 891 of Br. 205.00 (issued on July 30).
Total outstanding checks: Br. 609.75.
New balance: Br. 4,686.62.
Deduct: Incorrectly charged amount of Br. 120.
Add: Correct amount of Br. 210.
Add: Proceeds from the collection Br. 500.
Add: Interest earned on the account balance Br. 24.75.
Deduct: Returned check of Br. 10
Deduct: Fee charged by the bank for handling the collection Br. 5.00.
Deduct: Check from customer John Br. 50.25.
Deduct the service charge by the bank for the month of July of Br. 12.70.
New balance: Br. 5,224.42.
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A collectors item is purchased for $150 and it’s value increases by 3% each year. Which graph can be used to determine approximately how many years it will take for the value to double
Answers
Answer:
we are given A collector’s item is purchased for $150so, its value increases by 3% each yearso, t is time in yearsLet's assume cost of item after t years is C(t)so, we can use formula now, we can plug values so, equation is After doubling C(t)=2*150=300so, we can set C(t)=300and then we can solve for twe get so, doubling time is 23.44977 years
Answer:
B works ; it starts at 150, is positive, and slowly reaches 300
Step-by-step explanation:
Edge
What is 5/0 ;) You will never get it.
Answers
Answer:
0
Step-by-step explanation:
It’s easy
Answer:
Error or Undefined
3.6= − a/0.8 − 1.6 − 0.8 a −1.6
Answers
The value of a for the given expression will be -3.31.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expression is 3.6= − a/0.8 − 1.6 − 0.8 a −1.6. The value of a will be calculated as below,
3.6 = − a/0.8 − 1.6 − 0.8 a −1.6
3.6 + 1.6 + 1.6 = -a / 0.8 - 0.8a
6.8 = ( -a - 0.64a ) / 0.8
5.44 = -1.64a
a = -3.31
Therefore, the value of a will be -3.31.
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Expressions and Equations (EE
-4x +5 > 45
Answers
Step-by-step explanation:
let the value of x be -11
so,
-4(-11)+5>45
44+5>45
49>45
hence proved.....
thanku so much.....
please check the other answers also.... it's only my point of view .....
Jim weighs 30 pounds less than Tom, and together they weigh 210 pounds. Let n = Tom's weight in pounds.
(n - 30) + n = 210
(n + 30) + n = 180
(n + 30) + n = 210
(n - 30) + n = 180
Answers
The equation that represents the given problem is (n-30) + n = 210. The correct option is the first option (n-30) + n = 210
Linear equationFrom the question, we are to write an equation for the given problem
From the given information,
n = Tom's weight in pounds
If Jim weighs 30 pounds less than Tom
Then,
Jim weighs (n - 30)
Thus,
The sum of their weight is
(n-30) + n
∴ (n-30) + n = 210
Hence, the equation that represents the given problem is (n-30) + n = 210. The correct option is the first option (n-30) + n = 210
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Two identical trains, each with 31 cars, are traveling in opposite directions. When car Number 19 of one train is opposite car Number 19 of the other, which car is opposite car Number 12?
Answers
Car 12 of Train B is also 12 cars away from Car 19 on Train B.
How to explain the informationSince each train boasts 31 cars, we can ascertain the total amount of vehicles between Car 19 and Car 12 on Train A:
31 - 19 = 12
Thus, Car 12 on Train A is a dozen units distant from Car 19 on Train A.
Nevertheless, Train B is furthermore moving in an inverring direction and has its exclusive set of automobiles between Car 19 and Car 12. We comprehend that the matching figure of cars must be amongst Car 19 and Car 12 on Train B as with Train A.
In essence, Car 12 of Train B is also 12 cars away from Car 19 on Train B.
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make x the subject of the formula in R = ax-p/q+bx
Answers
R = (ax - p)/(q + bx)
(ax - p) = R(q + bx)
ax - p = Rq + Rbx
ax - Rbx = Rq + p
x(a - Rb) = Rq + p
x = (Rq + p)/(a - Rb)
You are installing a rectangular pool in your backyard. The pool measures 24 feet by 16 feet. You also would like to build a concrete walkway around the pool. You have allocated 560 ft? of your backyard for both the pool and the walkway around it. How wide should you make the walkway?
Answers
Answer:
The walkway should be 2ft wide.
Step-by-step explanation:
Let x be the width of the walkway surrounding the pool.
The area including the pool is 560ft².
Let's solve for the value of x.
The length plus twice the width of the pool is multiplied by the width plus twice the width of the pool. This makes up the whole area.
A = lw
560 = (24 + 2x)(16 + 2x)
560 = 384 + 48x + 32x + 4x²
4x² + 80x + 384 - 560 = 0
4x² + 80x - 176 = 0
Divide the whole equation by 4
x² + 20x - 44 = 0
(x + 22)(x -2) = 0
x = -22; x = 2
Since we are dealing with dimensions, take the one with the positive value.
x = 2ft
Let's check
560ft² = (24ft + 2x)(16ft + 2x)
560ft² = (24ft + 2(2ft)) (16ft + 2(2ft))
560ft² = (24ft + 4ft)(16ft + 4ft)
560ft² = (28ft)(20ft)
560ft² = 560ft² ✔
Please help me before I die
Answers
Answer:
The answer is 48.
Step-by-step explanation:
The best way is to follow the question through. Calculate the Greatest Common Factor, in this case being 2. And the Least Common Multiple, being 60. She then subtracts the difference, in this case being 60 - 2, which gives you an answer of 48.