Answer:
Step-by-step explanation:
B
The set that represents a Pythagorean triple is B: 33, 44, 55
What is a Pythagorean triple ?A Pythagorean triple consists of three positive integers such that the square of the larger one of them is equal to the sum of the squares of the other two .
Let (a, b, c) represents a Pythagorean triple where a, b, c are positive integer and a is the larger one then a² = b² + c²
For A: 27 ,38, 42
Let a = 42 , b= 38 ,c= 27
⇒a² = 42² = 1764
and b² + c² = 38² + 27² = 1444 + 729 = 2173
∴a² ≠ b² + c²
Thus , A: 27 ,38, 42 is not a Pythagorean triple
For B: 33 ,44, 55
Let a = 55 , b= 33 ,c= 44
⇒a² = 55² = 3025
and b² + c² = 33² + 44² = 1089 + 1936 = 3025
∴a² = b² + c²
Thus , B: 33 ,44, 55 is a Pythagorean triple
For C: 35 ,38, 42
Let a = 42 , b= 35 , c= 38
⇒a² = 42² = 1764
and b² + c² = 35² + 38² = 1225 + 1444 = 2669
∴a² ≠ b² + c²
Thus , C: 35 ,38, 42 is not a Pythagorean triple
For D: 68 ,72, 81
Let a = 81 , b= 68 , c= 72
⇒a² = 81² = 6561
and b² + c² = 68² + 72² = 4624 + 5184 = 9808
∴a² ≠ b² + c²
Thus , D: 68 ,72, 81 is not a Pythagorean triple
Therefore, Only set B: 33, 44, 55 represents a Pythagorean triple.
Also, Learn more about Pythagorean triple from the link below:
https://brainly.com/question/15190643
#SPJ2
Write an equation in slope-intercept form for the line that passes through (3, 7) and is parallel to the line with equation y=3/4x-5
Answer:
[tex]y=\frac{3x}{4} +\frac{19}{4}[/tex]
Step-by-step explanation:
Plug-in given to the point-slope form:
m = 3/4
(the slope is the same for the other line as the two are parallel to each other)
(3 , 7)
[tex]y - 7 = \frac{3}{4} (x - 3)\\ y-7 = \frac{3}{4} x - \frac{9}{4} \\4( y-7) =( \frac{3}{4} x - \frac{9}{4})4\\ 4y - 28 = 3x - 9\\ 4y - 28 +28 = 3x - 9 + 28\\4y = 3x + 19\\\frac{4y}{4} =\frac{3x+19}{4} \\y=\frac{3}{4}x +\frac{19}{4}[/tex]
1. Write the following in exponential form and as a multiplication sentence using only 10 as a factor
(e.g., 100 = 102= 10 x 10).
a. 1,000
b. 100 x 100
2. Write the following in standard form (e.g., 4 x 102 = 400).
a. 3 x 102=
C.
800 - 103 =
I
b. 2.16 x 104 =
d. 754.2 - 102 =
Answer:
1. a. 1,000 = 10³ = 10 × 10 × 10
b. 100 × 100 = 10² × 10² = 10 × 10 × 10 × 10
2. a. 3 × 10² = 300
b. 2.16 × 10⁴ = 21,600
c. 800 ÷ 10³ = 0.8
d. 754.2 ÷ 10² = 7.542
Step-by-step explanation:
3. a. 1,000
There are 3 zeros in 1000. This is equivalent to 10 raised to the power of 3. Writing this in multiplication sentence using 19 as the only factor, we would have:
1,000 = 10³ = 10 × 10 × 10
b. 100 × 100
Using the same logic as explained in (a) above, we would have:
100 × 100 = 10² × 10² = 10 × 10 × 10 × 10
2. a. 3 × 10²
Convert 10² to 100 and multiply both numbers
3 × 10² = 3 × 10 × 10 = 3 × 100 = 300
b. 2.16 × 10⁴
2.16 × 10 × 10 × 10 × 10 = 2.16 × 10,000
Multiplying both numbers, since we have 4 zeros, move the decimal point 4 places to the right.
2.16 × 10,000 = 21,600
c. 800 ÷ 10³ = 800 ÷ 10 × 10 × 10
800 ÷ 1,000
There are 3 zeros in 1000, since we are dividing, move the decimal point 3 places to the left.
800 ÷ 1,000 = 0.8
d. 754.2 ÷ 10² = 754.2 ÷ 10 × 10
754.2 ÷ 100
Move the decimal point 2 places to the left.
754.2 ÷ 100 = 7.542
what is 8 divided by 2(2+2)=16
Answer:
answer is sixteen (16)
Select the correct answer.
Triangle XYZ has an altitude of h. Jayden proves the area of AXYZ using trigonometry. His work is shown.
Z
h
b
a
х
у
The area of AXYZ is žyh
by the definition of the area of a triangle. Using the sine ratio, sin(x) = . Also, asin(x) = h is true by the
multiplication property of equality. So, by the substitution property of equality, the area of AXYZ is 2xysin(x).
Where did Jayden make his first error in the proof?
The first error Jayden made in teh proof is: D. the sine ratio, sin(X) = h/x is incorrect, its should be sin(Z) = h/x.
What is the Sine Ratio?Whn solving a right triangle, the sine ratio can be used which is expressed as, sin ∅ = opposite side/hypotenuse, given that ∅ is the refrence angle.
In the proof of Jayden, the area of the triangle is correct, which is 1/2(base × height).
However, the sine ratio is wrong.
Therefore, the first error Jayden made in teh proof is: D. the sine ratio, sin(X) = h/x is incorrect, its should be sin(Z) = h/x.
Learn more about the sine ratio on:
https://brainly.com/question/2920412
Answer:
Step-by-step explanation:
The first error Jayden made in teh proof is: D. the sine ratio, sin(X) = h/x is incorrect, its should be sin(Z) = h/x.
What is the Sine Ratio?
Whn solving a right triangle, the sine ratio can be used which is expressed as, sin ∅ = opposite side/hypotenuse, given that ∅ is the refrence angle.
In the proof of Jayden, the area of the triangle is correct, which is 1/2(base × height).
However, the sine ratio is wrong.
Therefore, the first error Jayden made in teh proof is: D. the sine ratio, sin(X) = h/x is incorrect, its should be sin(Z) = h/x.
Learn more about the sine ratio on:
brainly.com/question/2920412
A triangle has an angle that measures 95°. The other two angles are in a ratio of 6:11. What are the measures of those two angles?
Answer:
Step-by-step explanation:
me pueden mandar un ejercicio de polinomios que incluyan suma resta y multiplicacion resueltos y otra que incluya suma multiplicación y división. SE GANARAN 25 PUNTOS!!!!!!!
Answer:
?que significa POLINOMIOS?
Answer:
Step-by-step explanation:
number that is not an irracional number
Answer:
2
Step-by-step explanation:
Hope this helps
Note that common skills are listed toward the top, and less common skills are listed toward the bottom.
According to O*NET, what are common skills needed by Veterinarians? Check all that apply.
critical thinking
judgment and decision making
speaking
equipment maintenance
active listening
installation
science
repairing
Answer:
active listening and judgement and decision making
Answer:
1, 2, 3, 5, 7
or critical thinking, judgement and decision making, speaking, active listening, science
Step-by-step explanation:
Evaluate 5+ (42 +2) =6.
5+ (4? + 2) : 6 =D
Answer:
8
Step-by-step explanation:
1) 5(16+2)/6
80+10/6
80+1.6
=8
2) 5(16+2)
80+10/6
90/6
=8
HELP QUICK!!
The cost of admission to an amusement park is $175 for a season pass or $35 per visit.
14. write an equation to model each situation
15. graph each equation
16. what is the break even point?
Answer:
hey so i did your questions on a sheet of paper, hope you can understand it, let me know if you cant
also, good luck with school and stay safe!! :)
Find m1 and m2. Justify each answer
Answer:
Number 1 will be 95
Number 2 will be 130
Am I right
How are the areas of the smaller squares related to the area of the biggest square? Do you notice something?
If a = the side of one small square and b = the side of the other small square and c = the side of the biggest square, then how could you write an equation using a, b, and c with exponents?
This is the Pythagorean Theorem for all Right Triangles. ____________________
Answer:
The sum of area of two smaller squares is equal to the area of bigger square
An equation using a, b, and c with exponents is [tex]c^2=a^2+b^2[/tex]
Step-by-step explanation:
Let a be the side of the smallest square , b be the side of other smaller square and c be the side of biggest square
Area of square with side a = [tex]Side^2 = a^2[/tex]
Area of square with side b = [tex]Side^2 = b^2[/tex]
Area of square with side c =[tex]Side^2 = c^2[/tex]
Refer the attached figure
In triangle ABC
[tex]\angle A = 90^{\circ}[/tex]
So, We can use Pythagoras theorem over here
AB = a = Base
AC = b = Perpendicular
BC = c = Hypotenuse
[tex]Hypotenuse^2=Perpendicular^2+Base^2\\c^2=a^2+b^2[/tex]
So, The sum of area of two smaller squares is equal to the area of bigger square
An equation using a, b, and c with exponents is [tex]c^2=a^2+b^2[/tex]
What is the slope of a line that passes through the points (4, 2) and (7,6.5)?
Answer:
1.5
Step-by-step explanation:
Answer:
1.5 or 3/2
Step-by-step explanation:
y-y over x-x and you get you answer.
Find the distance and midpoint between P(-6, 3) and Q(4, 9)
Answer:
use distance formula
Step-by-step explanation:
think it proves helpful for you
Solve For H ---I> A=1/2(B₁+B₂)h
Answer:
h = 2A/(B₁+B₂)Step-by-step explanation:
Given equation
A=1/2(B₁+B₂)hSolving for h
A=1/2(B₁+B₂)h2A = (B₁+B₂)h2A/(B₁+B₂)= hh = 2A/(B₁+B₂)im givin away myy last of points here is my question anyone can answer dis even people who just want points: Charise is buying 6 packets of seeds to plant in her garden. Each packet of seeds is $2.19. Estimate her total cost by rounding. Is the estimate an underestimate or an overestimate?
$12; underestimate
$18; underestimate
$12; overestimate
$18; overestimate
Answer:
It would be $12 overestimate
Step-by-step explanation:
$2.19 rounded to one significant figure would be $2.00
$2.00 multiplied by 6 would be $12
However since 19 cents is over $2, this means it's a definite overestimate
Hope this helps! :)
Someone drank 3/4 of a 16 fluid ounce bottle of juice how much is left?
Answer:
12
Step-by-step explanation:
16 x3/4 is 48/4 or 48 divided by 4, or 12.
Triangle PQR: Angle A is (x + 4) degrees. Angle B is (3y + 7) degrees. Angle P is (3x - 14) degrees. Angle Q is (5y - 13). What is the measure of Angle C?
Answer:
130 degrees
Step-by-step explanation:
SOMEONE PLEASE HELP!! I've tried this question twice and I just can't seem to get it
There are 30 fish in a pond. 9 of the fish are carp. Of the fish that are not carp, 1/3 are sticklebacks and the rest are tench. What is the ratio of carp to sticklebacks to tench in the pond? Give your answer in it's simplest form.
[tex]\underline{\underline{\large\bf{Given:-}}}[/tex]
[tex]\red{\leadsto}\:[/tex][tex]\textsf{Total Number of fish } [/tex][tex]\sf = 30 [/tex]
[tex]\red{\leadsto}\:[/tex][tex]\textsf{ Number of carp fish } [/tex][tex]\sf = 9 [/tex]
[tex]\underline{\underline{\large\bf{To Find:-}}}[/tex]
[tex]\orange{\leadsto}\:[/tex][tex]\textsf{ Ratio of carp to sticklebacks to tench } [/tex][tex]\sf in \:the \:pond[/tex]
[tex]\\[/tex]
[tex]\underline{\underline{\large\bf{Solution:-}}}\\[/tex]
[tex]\longrightarrow[/tex]Number of fish that are not carp = Total fish - number of carp fish
[tex]\begin{gathered}\implies\quad \sf 30-9 \\\end{gathered} [/tex]
[tex]\begin{gathered}\implies\quad \sf 21 \\\end{gathered} [/tex]
[tex]\longrightarrow[/tex]Since 1/3 of remaining fish which are not carp are sticklebacks , Number of sticklebacks =
[tex]\begin{gathered}\implies\quad \sf \frac{1}{3} \times number \:of \:remaining \: fish\\\end{gathered} [/tex]
[tex]\begin{gathered}\implies\quad \sf \frac{1}{3}\times 21 \\\end{gathered} [/tex]
[tex]\begin{gathered}\implies\quad \sf 7 \\\end{gathered} [/tex]
Now ,
[tex]\longrightarrow[/tex]Number of tench = Total number of fish - (Number of carp + Number of sticklebacks)
[tex]\begin{gathered}\implies\quad \sf 30-(9+7) \\\end{gathered} [/tex]
[tex]\begin{gathered}\implies\quad \sf 30-16\\\end{gathered} [/tex]
[tex]\begin{gathered}\implies\quad \sf 14\\\end{gathered} [/tex]
[tex]\therefore[/tex]Ratio of carp to sticklebacks to tench in the pond =
[tex]\begin{gathered}\quad\quad \boxed{\sf {9: 7:14}} \\\end{gathered} [/tex]
Consider this power. (–4) –3 1. Apply the negative exponents rule: 1 (−4)3 2. Expand the exponent: 1 (−4)(−4)(−4) 3.Simplify: What is the value of (–4)–3? Negative StartFraction 1 Over 64 EndFraction Negative StartFraction 1 Over 12 EndFraction StartFraction 1 Over 64 EndFraction StartFraction 1 Over 12 EndFraction
Given:
The given expression is
[tex](-4)^{-3}[/tex]
To find:
The value of given expression.
Solution:
We have,
[tex](-4)^{-3}[/tex]
Applying the negative exponents rule, we get
[tex](-4)^{-3}=\dfrac{1}{(-4)^3}[/tex] [tex][\because a^{-n}=\dfrac{1}{a^n}][/tex]
Expanding the exponent, we get
[tex](-4)^{-3}=\dfrac{1}{(-4)(-4)(-4)}[/tex]
[tex](-4)^{-3}=\dfrac{1}{-64}[/tex]
[tex](-4)^{-3}=-\dfrac{1}{64}[/tex]
The value of given expression is [tex]-\dfrac{1}{64}[/tex].
Therefore, the correct option is A.
Answer:
a
Step-by-step explanation:
-1/64
In a quadratic function, the greatest exponent is ________?
Answer:
2
Step-by-step explanation:
form of functions
f(x) = ax2 + bx + c
which means ² is the greatest exponent of a quadratic function
The population of fish in an aquarium can be modeled after exponential growth. If there were originally 3 fish and after 6 weeks there were 31 fish, how many fish would there be after 14 weeks?
Answer:
The population in 14 weeks is 232 fishes
Step-by-step explanation:
The equation for exponential growth is f(x) = a·(1 + r)ˣ
Where;
a = The starting population size = 3
r = The rate at which the population of grows
x = The number of periods to of change of the population
Therefore, we have;
f(6) = 31 = 3 × (1 + r)⁶
31/3 = (1 + r)⁶
㏑(31/3) = 6㏑(1 + r)
(㏑(31/3))/6 =㏑(1 + r)
1 + r = e^((㏑(31/3))/6) ≈ 1.476
1 + r ≈ 1.476
Therefore, the population in 14 weeks is given as follows;
f(14) = 3 × (1.467)¹⁴ ≈ 232.574
Given that we the information is with regard of living things, such that there are no fractions, we round down to the nearest whole number as follows;
f(14) ≈ 232
The population in 14 weeks = 232 fishes.
i'm thinking a number through a number between 1-10 winner gets brainlest
Answer:
6
Step-by-step explanation:
five would be to obvious
A boutique owner sells a salt scrub that is made of a tropical oil blend costing $7.95 per ounce and sea salt costing $1.45 per ounce. The salt scrub ultimately costs $3.40 per ounce. In order to make a new batch of the salt scrub, she just ordered 6 ounces of the tropical oil blend. How many ounces of sea salt will she need to make the salt scrub with the correct proportions?
Answer:
14
Step-by-step explanation:
7.95\cdot 6+1.45\cdot \:x=\left(6+x\right)3.4
x=14
PLEASE HELP! WILL MARK BRAINLIEST - What is 2(n+1)?
Answer:
2n + 2
Step-by-step explanation:
To get the answer you must do distributive. This means you have to multiply 2 and N and 2 and 1. Next, after you multiply these answers you put them together with whatever operation sign is there. In this case, the operation sign here is an addition. Therefore the answer would be 2n + 2.
which of the following equation is true?
The bill is $24 plus 6% sales tax. What is the total amount to be paid?
Answer:
25
Step-by-step explanation:
Answer as a fraction in simplest form.
Louie drove 50 1/8 miles and used 2.5 gallons of gas. Find the number of miles driven per gallon of gas.
Hey there!
=> 50 1/8 {improper fraction}
=> 401/8 {proper fraction}
=> 401/8 ÷ 2.5
=> 50.125 ÷ 2.5 { Divide}
=> 20.05
Convert [tex]20.05[/tex] to fraction
Rewrite the decimal number as a fraction with 1 in the denominator
20.05=20.05/1
Multiply to remove 2 decimal places. Here, you multiply top and bottom by 102 = 100
20.05/1×100/=2005/100
Find the Greatest Common Factor (GCF) of 2005 and 100, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 5,
2005÷5/100÷5=40/120
Simplify the improper fraction,
=20 1/20
Or, 401/20
A customer in Nevada orders 2 packages of Peanutty Paws Cookies for $6.00 apiece. Sales tax in Nevada is 6.85%. What is the total cost of the order?
Answer:
$12.82
Step-by-step explanation:
2 x $6.00 = $12.00
Item prices + sales tax = total cost
$12.00 + (0.0685 x $12.00) = $12.82
Let me know if you have any questions about my solution.
Chris and Kate’s dinner bill, including a 20% tip, is $95.40. What was the amount of the bill before the tip?
Enter your answer in the box.
Answer:
$79.5
Step-by-step explanation:
95.40= 120%
1%= 95.40/120
1%=0.795
100%=79.5