"20" is the Pythagorean triplet of 12 and 16.
A set of three integers that can be the lengths of the sides of a right triangle is called a Pythagorean triple, it also defines the positive integers a,b, and c such that a right triangle exists with legs a,b, and hypotenuse c.
By the Pythagorean theorem, this is equivalent to finding positive integers a, b, and c satisfying a²+b²=c²
The simplest Pythagorean triple is the set “3,4,5.”
Now, substitute the values in the above equation:
=) x² = 12² + 16²
=) x² = 144 + 256
=) x² = 400
=) x = √(400)
=) x = 20.
Therefore, (12,16,20) is a Pythagorean triplet.
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Simplify.
3(x+4)
————-
Answer:
3x+12
Step-by-step explanation:
3*x = 3x
3*4 = 12
Answer:
3x+12
Step-by-step explanation:
3(x) + 3(4)
So then, the answer is 3x + 12
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PAST DUE MATH HOMEWORK!!! I NEED HELP QUICKLY! EXPLAIN ANSWER!
Answer:
C
Step-by-step explanation:
70.5 times 3.14 is equal to 221.37 so Ferris Wheel was incorrect
1) Jesus has 100 and he expends 8 dollars every
day. How much money would he have left after 8.
days? Show all your work.
Answer: Jesus will have 36 dollars after 8 days
Step-by-step explanation: 8 x 8= 64
100-64=36
What is the area of this figure? triangle
19 cm
5 cm
8 cm
4 cm
12 cm
21 cm
9 cm
9 cm
Write your answer using decimals, if necessary.
square centimeters
Answer:
just times every number on there ex:9x2x9x12 etc..
How do you do a simple random sample on a calculator?
Using the calculator there are various methods according to the calculator we used and the approach we follow, Basic answer is to select N and generate random number.
What do you mean by random sampling?Random sampling is a method of selecting a sample from a population in such a way that each member of the population has an equal probability of being selected. This ensures that the sample is representative of the population, and reduces bias in the sampling process. In simple random sampling, a random sample is drawn from a larger population by using random number generators, tables of random numbers, or other methods that ensure that each member of the population has an equal chance of being selected.
What are samples?A sample is a portion or a subset of a population that is selected for the purpose of studying characteristics of the population. The sample is used to make inferences or conclusions about the population from which it was drawn. The sample is usually smaller in size than the population, and it is selected through a process called sampling. The process of sampling is used to select a sample that is representative of the population, meaning that the sample has similar characteristics as the population.
Define the population size (N) and the sample size (n) that you want to obtain.
Use the calculator's random number generator to generate a random number between 1 and N. This will be the first element of your sample.
Repeat step 2 to generate the remaining elements of the sample, making sure that each element is different from the previous ones.
Record the elements of the sample, which are the random numbers that have been generated.
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Quantity (in lbs.) Value (per lb.) Total
Butterscotch x 2.15 2.15x
Peppermint y 2.35 2.35y
Mixture 10 2.20 22
Using the table, match the items in the following lists.
1 .
x
pounds of butterscotch candy
2 .
$2.35
pounds of peppermint candy
3 .
y
price per pound of butterscotch
4 .
$2.15
price per pound of mixture
5 .
$22.00
cost for ten pounds of mixture
6 .
$2.20
price per pound of peppermints
By using the table, each of the items in the lists should be matched as follows:
pounds of butterscotch candy: x.pounds of peppermint candy: y.price per pound of peppermint: $2.35.price per pound of butterscotch: $2.15.price per pound of mixture: $2.20.cost for ten pounds of mixture: $22.00.What is a proportion?In Mathematics, a proportion can be defined as an equation which is typically used to represent (indicate) the equality of two ratios. This ultimately implies that, proportions can be used to establish that two ratios are equivalent and solve for all unknown quantities.
Based on the information provided in the table, we can reasonably infer and logically deduce that the variable x represent pounds of butterscotch candy while the variable y represent pounds of peppermint candy.
Additionally, a system of equations that models the information provided in the table is given by;
x + y = 10.
2.15x + 2.35y = 22.00.
In conclusion, the total quantity of candies in pounds (lbs.) is equal to 10.
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what percentages of the students have both a cell phone and a MP3 player? A. 21% B. 32% C.66% D.68
Answer:
A
Step-by-step explanation:
It’s the only good answer
What is the probability that a randomly selected box of the cereal contains less than 9.65 ounces of cereal
There is a 0.0001 percent chance that the average amount of cereal in these boxes is less than 9.65 ounces.
What is meant by probability?The likelihood of an event happening is gauged by probability. Many things are impossible to completely predict in advance. We can only forecast how likely an event is to occur using it, or how likely it is to occur.The probability is a metric for determining how likely an event is to occur. It gauges the event's degree of certainty. The probability formula is presented as follows: P(E) = Number of Favorable Outcomes/Number of Total Outcomes.By dividing the number of preferable possibilities by the total number of potential outcomes, probability, which measures the likelihood that an event will occur, is obtained.Given that,
Mean µ = 9.70
Sample size = n = 5
standard deviation = σ = 0.03
Its distribution is normal, therefore
σx = σ/
σx = 0.03
σx = 0.0134
We must now determine the z value in order to use the table.
z = (x - µ) ÷ σ
z = (9.65 - 9,70) ÷ 0.0134
z = -3.73
Now
From the probability index tables
So P (z ≤ - 3.73) = 0.0001
Hence, the correct option is e) 0.0001
The complete question is:
A company’s cereal boxes advertise that each box contains 9.65 ounces of cereal. In fact, the amount of cereal in a randomly selected box follows a Normal distribution with mean μ = 9.70 ounces and standard deviation σ = 0.03 ounce. Now take an SRS of 5 boxes. What is the probability that the mean amount of cereal in these boxes is less than 9.65 ounces?
a. 0.4525
b. 0.9522
c. 0.9999
d. 0.0478
e. 0.0001
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What are the 3 parts of a quadratic equation?
The 3 parts of a quadratic equation are standard form, factored form and vertex form.
A quadratic equation is a polynomial equation of degree two in one variable of type f(x) = ax² + bx + c where a, b, c, ∈ R and a ≠ 0.
There are three forms of quadratic equations
Standard form of quadratic equation y = ax² + bx + c
factored form of quadratic equation y = a(x − r₁)(x − r₂)
Vertex form of quadratic equation y = a(x − h)² + k
Each of the above quadratic forms looks unique, allowing the different problems to be more easily solved in one form than another.
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2 Find the sum: 8 7 + - = ?
Answer:
15
Step-by-step explanation:
dont change the 10 and whats 8 + 7
Draw a box and whisker plot of the following data 40,37,29,36,41,39,33
Answer:
Step-by-step explanation:
Its not the best drawing but here
median 37
minimum 29
maximum 41
first quartile 33
third quartile 40
IQR 7
In ΔDEF, f = 5 cm, m∠E=79° and m∠F=75°. Find the length of d, to the nearest 10th of a centimeter.
Using sine and cosine rule, the length of d in the triangle is equal to 4.5cm
What is Sine RuleThe sine rule is a mathematical formula used to calculate the lengths of the sides and angles of any triangle when given two angles and one side or two sides and one angle. It is also known as the law of sines.
To find the length of d, we have to find the length of E.
Using sine rule;
f / sin F = e / sin E
5 / sin 75 = e / sin 79
e = 5sin79 / sin 75
e = 5.7cm
To find the length of d, we have to find the angle D by using the sum of angle theorem.
m∠ E + m∠ F + m∠ D = 180°
79 + 75 + m∠ D = 180
m∠ D = 180 - 154
m∠ D = 26°
Using cosine rule
d² = e² + f² - 2efCosD
d² = 5.7² + 5² - 2(5.7)(5)cos26
d² = 20.615598
d = √20.615598
d = 4.5cm
The length of side d is 4.5cm
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Pls help me with solving systems of linear equations by elimination
Answer:
Step-by-step explanation:
A. 2x = -6
x = -3
3 + y = 5
y = 2
(-3, 2)
-9 - 2 = -11
-11 = -11
3 + 2 = 5
5 = 5
B. 4x + 2y = 1
6x + 4y = 1
-8x - 4y = -2
6x + 4y = 1
-2x = -1
x = 1/2
4(1/2) + 2y = 1
2 + 2y = 1
2y = -1
y = -1/2
-2(-1/2) + 3 = 4(1/2) + 2
1 + 3 = 2 + 2
4 = 4
6(1/2) + 4(-1/2) = 1
3 - 2 = 1
1 = 1
C.
-x + 32y = -25
4x + 8y = 100
-4x + 128y = -100
136y = 0
y = 0
-x = -25
x = 25
(25, 0)
32(0) - 25= -25
-25= -25
5(25) = 100 + 25 - 8(0)
125 = 125
D.
3x + 2y = 6
4x + 5y = -20
-12x - 8y = -24
12x + 15y = -60
7y = -84
y = -12
2(-12) + 3x = 6
-24 + 3x = 6
3x = 30
x = 10
(10, -12)
2(-12) + 3(10) = 6
-24 + 30 = 6
6 = 6
4(10) + 5(-12) + 20 = 0
40 - 60 + 20 = 0
-20 + 20 = 0
0 = 0
The data below shows the orders that were placed at a local paint shop. 1 2 3 4 Paint orders 5 6 Gallons 7 8 9 10 Solve for the MEAN of this data set. If needed, round to the nearest tenth.
To find the MEAN of Natural numbers, such as 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10, a + b + c3 is the sum of the three numbers a, b, and c. Therefore, 5.5 is the MEAN of the first 10 natural numbers.
Find the MEAN Of Data setFirstly The Given set of numbers Represents Natural numbers,
A natural number is an integer greater than 0. Natural numbers begin at 1 and increment to infinity: 1, 2, 3, 4, 5, etc.
Therefore, the first ten natural numbers are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.
And the mean of three numbers a, b, c is a + b + c3
Then the mean of 10 numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 is:-
⇒1+2+3+4+5+6+7+8+9+1010
Adding and dividing we get the value of the above term as,
⇒1+2+3+4+5+6+7+8+9+1010=5510=5.5
Hence, the mean of the first 10 natural numbers is 5.5.
Note: To solve this problem, you must understand that the integers greater than zero are natural numbers and that the mean of the three numbers a, b, and c equals a + b + c3. Knowing how to calculate the average number of elements and being familiar with natural numbers can help you arrive at the correct conclusion.
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hello please help i’ll give brainliest
Answer: The third one is wrong. The one about it being a republic.
Step-by-step explanation:
X
1
2.
3
4
5
512
128
32
8
2.
g(x)
18
16
14
12
10
h
(x)
65
33
17
9
5
Complete each of the 2
activities for this Task.
Activity 1 of 2
Part A: Which of the functions
represents an exponential
function? Explain.
Activity 2 of 2
Part B: What’s is the average rate of change for the function h(x) over interval 2 <_ x _< 4? Show your work or explain how you found your answer.
Answer:
537474447474 75262293
Answer: f(x)
Step-by-step explanation: Part A:Its dividing by 4 each time
For how many integer values of $n$ between 1 and 349 inclusive does the decimal representation of $\frac{n}{350}$ terminate
The decimal form of n/350 terminates after 49 integer values of n between 1 and 349 inclusive.
What is prime factorization?The technique of expressing all numbers as a product of primes is known as prime factorization. As an example, suppose we have the number 20. We may divide this into two categories. "Well, that's 4 times 5," we may remark. Also, 5 is a prime number. The number four is not a prime number. All numbers are made up of prime numbers. "Factors" are numbers that are multiplied to generate another number. As an example. "Prime factorization" is the process of determining which prime numbers multiply to produce the original number.
Here,
first, find the prime factorization of 350. (2*5^2*7)
then we need to find all multiples of 7 that are between 1 and 350.
the first multiple of 7/350.
The first multiple of 7 between 1 and 350 is 7.
so 7/350=0.02.
Then, drop the two zeros and find out what is 100% (1 whole, ignoring the percent) /2.
Then, we get 49.
49 integer values of n between 1 and 349 inclusive does the decimal representation of n/350 terminate.
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Write the additive inverse of 3/2
Answer:
1.5
Step-by-step explanation:
2/2=1 so 2/1=0.5 so answer is 1.5
Answer:
- [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
The additive inverse is the value that requires to be added to make the sum zero, that is
[tex]\frac{3}{2}[/tex] - [tex]\frac{3}{2}[/tex] = 0
The additive inverse is - [tex]\frac{3}{2}[/tex]
can someone explain how to get the answer for the following question ?
Find the coordinates of the point of intersection of the parabola y = 3x^2 - x - 7 and the line y = 5x - 10
the answer is (1,-5) if you need it just explain how to get it !!
Warren is tiling his bathroom. He wants to cut three different sizes of square tiles. Tile A must be square inches, tile B must be square inches, and tile C must be square inches. He needs to know the side length of each tile. Part A In the table, note your guesses and checks to find the length of tile A, which has an area of square inches. Estimate the value to five decimal places
The length of tile A is 2.36068 inches.
The quantity of square units required to completely fill a square is known as the area of a square.
The region that lies inside the confines of a flat item or a two-dimensional figure is generally referred to as the area.
The measurement is made using square units, with square meters serving as the standard unit (m^2).
The square unit serves as the unit of area.
Let us recall that the area of a square is given by;
A = side^2
This is because, all the sides of a square are equal hence
When A = 5 square inches
5 = side^2
side = √5
side = 2.36068 inches
Therefore, The length of tile A is 2.36068 inches.
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What is the slope of the line on this graph?
Answer:
The slope would be 3! Hope this helps
Help me pleasseeeee!!!!!!!
Answer:
c
Step-by-step explanation:
PLEASE SOMEONE HELP. I’m FAILING MATH . WILL NAME BRAINLIEST AND ITS WORTH 30 points!!
Answer:
See below
Step-by-step explanation:
[tex] m\angle ABC = 2\times m\angle AEC = \boxed {60} \degree [/tex]
(By inscribed angle theorem)
[tex] m\widehat{AC} = m\angle ABC = 60\degree [/tex]
(Central angle and its corresponding arc theorem)
[tex] m\widehat {DC} = 180\degree - (60\degree + 80\degree) [/tex]
[tex] m\widehat {DC} = 40\degree [/tex]
[tex] m\angle DBC = m\widehat {DC} = \boxed {40} \degree [/tex]
(Central angle and its corresponding arc theorem)
[tex] m\angle ACE = \boxed {90} \degree [/tex]
(Angle inscribed in a semicircle)
[tex] m\angle DAE = \frac{1}{2}\times 80\degree = \boxed {40}\degree [/tex]
(By inscribed angle theorem)
[tex] m\angle ADE = \boxed {90}\degree [/tex]
(Angle inscribed in a semicircle)
[tex] m\angle FCB = \boxed {90}\degree [/tex]
(By tangent radius theorem)
[tex] m\angle CED = \frac{1}{2}\times 40\degree = \boxed {20} \degree [/tex]
(By inscribed angle theorem)
Practice 2-2 Using number sense to solve Equations (PLEASE HELP)
The solutions for all the equations would be
1. p = 30
2. h = 99
3. t = 31.4
4. r = 57
5. t = 5
6. w = 8
7. y = 9
8. p = 7
9. a = 13
10. w = 12
11. h = 24
12. g = 128
13. a = 21
14. y = 39
15. d = 16
16. w = 25
What is an equation?
An equation is a statement that asserts the equality of two expressions. The expressions on either side of the equation are separated by an equals sign (=), and they must have the same value for the equation to be true.
1) 30p = 900
p = 900/30
p = 30
2) h/9 = 11
h = 9 * 11
h = 99
3) t + 32.4 = 62
t = 62 - 32.4
t = 31.4
4) r - 17 = 40
r = 40 + 17
r = 57
5) 5t = 25
t = 25/5
t = 5
6) 8w = 64
w = 64/8
w = 8
7) 9y = 81
y = 81/9
y = 9
8) p + 5 = 12
p = 12 - 5
p = 7
9) a + 2 = 15
a = 15 - 2
a = 13
10) w + 8 = 20
w = 20 -8
w = 12
11) h/6 = 4
h = 6 * 4
h = 24
12) g/8 = 16
g = 16 * 8
g = 128
13) a/7 = 3
a = 3 * 7
a = 21
14) y - 11 = 28
y = 28 + 11
y = 39
15) d - 4 = 12
d = 12 + 4
d = 16
16) w - 10 = 15
w = 15 + 10
w = 25
Hence, solutions for all the equations would be
1. p = 30
2. h = 99
3. t = 31.4
4. r = 57
5. t = 5
6. w = 8
7. y = 9
8. p = 7
9. a = 13
10. w = 12
11. h = 24
12. g = 128
13. a = 21
14. y = 39
15. d = 16
16. w = 25
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50+100x=300+75x can someone solve this ?
Answer:
50+100x=300x+75x
Step 1: Simplify both sides of the equation.
50+100x=300x+75x
100x+50=(300x+75x)(Combine Like Terms)
100x+50=375x
100x+50=375x
Step 2: Subtract 375x from both sides.
100x+50−375x=375x−375x
−275x+50=0
Step 3: Subtract 50 from both sides.
−275x+50−50=0−50
−275x=−50
Step 4: Divide both sides by -275.
[tex]\frac{-275x}{-275}[/tex] = [tex]\frac{-50}{-275}[/tex]
x= [tex]\frac{2}{11}[/tex]
There are two chords AB and CD in a circle. |AB| = 10 cm, |CD| 10 cm, |CD| = 8 cm and the radius of the circle is 12 cm. What is the distance of each chord from the centre of the circle?
The distance of each chord from the centre of the circle are √119 and √128 respectively .
Given,
Radius of a circle = 12 cm
AB = 10 cm
CD = 8 cm
Now, we get
BG = 10/2 = 5 cm
HD = 8/2 = 4 cm
(A perpendicular coming from the centre, which is not a diameter, bisects the chord.)
Now,
BE = ED = EF = 12 cm (All radii of a circle are equal.)
Now, by Pythagoras Theorem, we get
H² = P² + B²
For GE —
(BE)² = (GE)² + (BG)²
or, (12)² = GE² + (5)²
or, 144 = GE² + 25
or, GE² = 144 — 25
or, GE² = 119
or GE = ±√119
or GE = √119 (Since, length cannot be negative.)
For HE —
(DE)² = (HE)² + (HD)²
or, (12)² = HE² + (4)²
or, 144 = HE² + 16
or, HE² = 144 — 16
or, HE² = 128
or, HE = ± √128
or, HE = √128 or 8√2(Since, length cannot be negative.)
Hence , the distance of each chord from the centre of the circle are √119 and √128 respectively .
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Write and solve an inequality for the problem.
It cost $660 to put on the school play. How many tickets must be sold at $6 a piece in order to make a profit?
Answer:
more than 110
Step-by-step explanation:
You want to know the number of $6 tickets that must be sold to pay for the $660 cost of a school play and make a profit.
ProfitThe profit is the difference between revenue and cost. The revenue from the sale of n tickets will be 6n. We want the profit to be positive, so we want ...
6n -660 > 0 . . . . . . positive profit
n -110 > 0 . . . . . . divide by 6
n > 110 . . . . . . add 110
More than 110 tickets must be sold to make a profit.
__
Additional comment
Sale of exactly 110 tickets will cover the cost, but there will be no profit.
A teacher wants to buy pencils for her class. The pencils come in boxes of 6. The teacher has 32 students in her class. She did the problem
32-6 = 5 r2.
How many boxes of pencils should the teacher buy?
A. 2
B. 5
C. 6
D. 7
I NEED HELP ASAP
Answer:
5
Step-by-step explanation:
I will mark you brainlist!
Alison will roll a number cube and flip a coin for a probability experiment. The faces of the number cube are labeled 1 through 6. The coin can land on heads or tails. If Alison rolls the number cube once and flips the coin once, which of the following lists the only outcomes when the number cube lands on a number greater than 3?
A. 3, Heads
3, Tails
4, Heads
4, Tails
5, Heads
5, Tails
6, Heads
6, Tails
B. 4, Heads
4, Tails
5, Heads
5, Tails
6, Heads
6, Tails
C. 4, Heads
5, Tails
6, Heads
D. 1, Heads
1, Tails
2, Heads
2, Heads
3, Heads
3, Tails
4, Heads
4, Tails
5, Heads
5, Tails
6, Heads
6, Tails
Answer:
B. 4, Heads
4, Tails
5, Heads
5, Tails
6, Heads
6, Tails
Step-by-step explanation:
Given that the cube is labelled 1 to 6 and the coin has a head or a tail, the only outcome when the number cube lands on a number greater than 3 means that the cube lands on 4 or 5 or 6.
On the other hand, the coin may give a head or a tail.
In light of this, the possible answers are;
4, Heads
4, Tails
5, Heads
5, Tails
6, Heads
6, Tails
Hence option B is right
Evaluate: 6(8a + 4p +11) for a = 12 and p = 7
Answer:
48a+24p+66----(a)
48 a= -(24p+66)
a= -(24p+66) /48----(1)
put eq 1 in eq(a)
we get p= 7
again put the value of p in eq (1)
we get a= 12
put values of a and p in eq (1)
48(12)+24(7)+66
576+168+66
810