Answer:
An independent system of equations
Use Pythagorean theorem to find right triangle si
Find the value of x in the triangle shown below.
C
9
3
The length of x is 3√10 units.
What is Pythagoras Theorem?The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry. According to this rule, the areas of the squares on the other two sides add up to the area of the square whose side is the hypotenuse, or the side across from the right angle. This theorem can be expressed as the Pythagorean equation, which is an equation connecting the lengths of the sides a, b, and the hypotenuse c. Pythagoras, a Greek philosopher who was born around 570 BC, is remembered by the theorem's name. The theorem has likely been proved the most times of any mathematical theorem using a variety of techniques.
As per the given data:
Perpendicular = 9 units
Base = 3 units
Using Pythagoras theorem to find x (hypotenuse):
[tex]x^2 = 9^2 + 3^2\\x^2 = 81 + 9\\x^2 = 90\\x = \sqrt{90}\\x = \sqrt{9\times10}\\x = 3\sqrt{10}[/tex]units
Hence, the length of x is 3√10 units.
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As shown in the illustration, Alexa had a negative balance in her checkdng account before depositing a $47.00 check. What is the new balance of Alexa's checking account?
Answer:jjjjjjjjjjjjjjjjjjjj
jjjjjjjjjjjjjjjjjjjjjjjjjj
jjjjjjjjjjjj
jjjjjjjj
jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj
helppppppppp[pppppp[pppppppppp
Answer:A
Step-by-step explanation:i mean that sound logiclity correct
Which numbers are irrational numbers?
Select each correct answer.
Answer
Well pi is an irrational number because it can't be simplified into a fraction. And from what I can see neither can the sqaure root of 10/49. So I believe it would be both of them. But if there is only one answer than i'm not sure sorry. But it also says each so maybe there is more than one answer.
Step-by-step explanation:
can someone help me. these are due tonight.
Answer:
x = 4
Step-by-step explanation:
3x-4 = 8
3x = 12
x = 4
good luck
Answer:
x = 4
Step-by-step explanation:
3x - 4 = 8
3x = 8 + 4
3x = 12
x = 4
(2x + 23), (8x + 2) and (20x – 52) are three consecutive terms of an arithmetic sequence.
Prove that the common difference of the sequence is 12
Step-by-step explanation:
Given (2x + 23), (8x + 2) and (20x - 52) are three consecutive terms of an arithmetic sequence.
(8x + 2) - (2x + 23) = (20x - 52) - (8x + 2)
or, 6x - 21 = 12x - 54
or, 12x - 6x = - 21 + 54 = 33
or, 6x = 33
or, 2x = 11
∴ x = 11/2
∴2x + 23 = 2 × 11/2 + 23 = 34
8x + 2 = 8 × 11/2 + 2 = 46 and
20x - 52 = 20 × 11/2 - 52 = 110 - 52 = 58
34, 46 and 58 are three consecutive terms of an arithmetic sequence.
∴ Common difference(d) = 46 - 34 = 58 - 46 = 12, it is proved.
Hence, the common difference of the sequence is 12.
Emika has a monthly budget for her cell phone bill.
Last month she spent 120% of her budget, and the bill
was $60.
What is Emika's monthly budget?
Emika's monthly budget is $60.
A percentage can be described as the fraction of a number multiplied by 100. The sign used to represent percentages is %.
Let Emika's cell phone bill budget be represented with x.
In order to determine his monthly budget, divide $60 by 120%
x = $60 / 120%
x = $60 / 1.20
x = $50
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CAN SOME ONE PLEASE ANSWER THIS RIGHT THANK YOU
m > 17.2
What word sentence represents this inequality?
1: A number is less than 17.2
2: A number is greater than 17.2
3: A number is at most 17.2
Answer:
2:A number is greater than 17.2
Step-by-step explanation:
the ">" in the inequality represents is greater
so the m> means m is greater than... and then the 17.2 means m is greater than 17.2. The way I learnt it was to imagine the ">" sign is like a crocodile, it wants the bigger number. So the ">" being towards the "m" shows that m is the bigger number.
Answer:
2
Step-by-step explanation:
in a right triangular prism the area of the Triangular base is 12 square centimeters the height of the prism is 7 cm what is the volume of the prism?
A) 60cm³
B) 84cm³
C) 72cm³
D) 98cm³
Answer:
84cm cubic.
Step-by-step explanation:
That is how it is done.Hope it will help.
A copy machine makes 32 copies per minute. How long does it take to make 144 copies?
?????
Can someone please help me with this one? :D ty!
2,000 Sorry That Was I Know #carryonlearning
Zero is a solution for which inequality?
4.1m > -16.4
4.1m > 16.4
-4.1m > 16.4
4.1m < -16.4
Since 0 is greater than -4 in the expression 4.1m >-16.4, hence zero is a solution to this inequality
Given the following inequality, we are to check which of them has zero as a solution.
For the expression
4.1m >-16.4
m > -16.4/4.1
m > -4
Since 0 is greater than -4, hence zero is a solution to this inequality
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The forecast for Monday shows an 80% chance of rain. What is the probability that it will not rain on Monday?
Answer:
20%
Step-by-step explanation:
100%-80%=20%
....... .
I cannot figure this out. Any help would be appreciated.
Determine the equation of the line.
Answer:
Y = 5x - 10
Step-by-step:
Leave a brainliest if this helped!
How many solutions does this system have?
y=2/3x + 32x - 3y = -9
A. One Solution
B. Two Solutions
C. No Solutions
D. Infinitely Many Solutions
Answer:
No solutions since they are two variables and it supposed to be solved simultaneously
8 (x minus 2) = 64. 8 x minus 16 = 64. 8 x = 80. x = 10.
Which property is used in the last step to find that x = 10?
Answer:
Inverse Property of Multiplication
Step-by-step explanation:
Inverse Property of Multiplication is when you do inverse operations to get rid of a multiplied number (if that makes any sense). to solve 8x = 80 you do the inverse of multiplying by 8 (divide both sides of the equal sign by 8) to get x=10.
4. Jeremy is starting a juice-bar business. The cost to start the business is $32,000 and the
monthly costs are $4,000. He has been earning $5,600 every month in revenue. In how many
months will Jeremy's business break-even and earn a profit?
Answer:
Step-by-step explanation: Ok so the important thing is to figure out how much he makes each month. if he earns 5,600 but the cost are 4,000 he makes 1,600 every month. To figure out how many months it will take we divide 32,000 by 1,600 to get 20. that is when he breaks even, 20 months. To make a profit it will be 21 months.
X/2 = Y/3 = Z/4. prove that :2X-Y+5Z / 3Y-X =3. note :: (/) is for a fraction aka divide. help pls I've been stuck on it for a few days
The given equation
x/2 = y/3 = z/4
can be broken into three separate equations which I'll call equations (A), (B) and (C)
x/2 = y/3 ..... equation (A)y/3 = z/4 .... equation (B)x/2 = z/4 .... equation (C)We'll start off solving for z in equation (C)
x/2 = z/4
4x = 2z ... cross multiply
2z = 4x
z = 4x/2 ... divide both sides by 2
z = 2x
Now let's solve for y in equation (A)
x/2 = y/3
3x = 2y
2y = 3x
y = 3x/2
y = (3/2)x
y = 1.5x
The results of z = 2x and y = 1.5x both have the right hand sides in terms of x. This will allow us to replace the variables y and z with something in terms of x, which means we'll have some overall expression with x only. The idea is that expression should simplify to 3 if we played our cards right.
We won't be using equation (B) at all.
---------------------
The key takeaway from the last section is that
z = 2xy = 1.5xLet's plug those items into the expression (2x-y+5z)/(3y-x) to get the following:
(2x-y+5z)/(3y-x)
(2x-y+5(2x))/(3y-x) ..... plug in z = 2x
(2x-y+10x)/(3y-x)
(12x-y)/(3y-x)
(12x-1.5x)/(3(1.5x)-x) .... plug in y = 1.5x
(12x-1.5x)/(4.5x-x)
(10.5x)/(3.5x)
(10.5)/(3.5)
3
We've shown that plugging z = 2x and y = 1.5x into the expression above simplifies to 3. Therefore, the equation (2x-y+5z)/(3y-x) = 3 is true when x/2 = y/3 = z/4. This concludes the proof.
1. Classify the following polynomials as monomial, binomial trinomial and polynomial:
i) 2x + y
Answer:
binomial
Step-by-step explanation:
a monomial has 1 term
a binomial has 2 terms
a trinomial has 3 terms
2x + y has 2 terms and so is a binomial
Part A: Find the LCM of 7 and 8. Show your work. (3 points)
Part B: Find the GCF of 54 and 81. Show your work. (3 points)
Part C: Using the GCF you found in Part B, rewrite 54 + 81 as an expression of two factors. One factor is the GCF and the other is the sum of two numbers that do not have a common factor. Show and explain your work.
Answer:
Part A:
LCM of 7 and 8 is 56.
7*8 = 56
-------------------------------------
Part B:
GCF of 54 and 81 is 27.
54: 1, 2, 3, 6, 9, 18, 27, 54.
81: 1, 3, 9, 27, 81.
-------------------------------------
Part C:
GCF of 54 and 81 is 27.
54 / 27 = 2
81 / 27 = 3
Final expression: 27(2 + 3)
Answer:
Part A: 56
Work:
7: 7, 14, 21, 28, 35, 42, 49, 56
8: 8, 16, 24, 32, 40, 48, 56, 64
Part B: 27
Work:
54: 54, 27, 9, 3, 1
81: 81, 27, 9, 3, 1
Part C: 27(2+3)
Work:
27×2 = 54
27×3 = 81
(27×2)+(27×3) = 54+81
(27×2)+(27×3)=27(2+3)
Explaining work:
First you find the numbers that multiply the GCF by to get the product (for 54 it is 2 and for 81 it is 3). Then you replace the the products with the equations (27×2) for 54 and (27×3) for 81 to get (27×2)+(27×3). Then simplify to get 27(2+3).
y=
4
5
x+1
y=
–
3
5
x–6
Answer:
Step-by-step explanation:
Answer:
So, yea i cant get you an exact answer but... i can tell you howto solve it.
Step-by-step explanation:
IN this case you would need to rewrite it so it is on the left side!
Bye friend! :)
you have also wasted your time by going down heere so, YOUR FAULT
Solve the compound inequality and graph the solutions.
-10<2x – 10 <30
The solutions to the compound inequality are
Answer:
0 ≤ x ≤ 20.
Step-by-step explanation:
-10≤2x – 10 ≤30
2x - 10 ≤ 30
2x ≤ 40
x ≤ 20.
2x - 10 ≥ -10
2x ≥ 0
x ≥ 0.
For compund inequalities you will have to separate both sides of the inequality into different equations so you can later plug it in.
For Example:
-10 ≤2x-10 Would be 0 ≤x
Add 10 on both sides, end up with 0≤2x then divide by 2 on both sides and end up with 0≤x
2x-10 ≤30 Would be x ≤20
Add 10 on both sides end up with 2x≤40 divide by 2 on both sides and end up with x≤20
So the answer would be 0 ≤ x ≤ 20
Find the roots 3x^3-13x^2-26x-24
Thank you
Answer:
31781715561888155919761999
What do u get after dividing the sum of 352 and 698 by 5
Answer:
the answer to the question is 210
help pls!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Name:
Grade & Section:
Date Submitted: 12/14/2021
Advent: Use it
Christmas: Open gifts under the tree left by Santa
Ordinary Time:
Lent: Celebrate Jesus.
Paschal Triduum: The Proper day to Celebrate Jesus
Easter: It is a Holiday where you celebrate a bunny and get candy.
Step-by-step explanation:
So is what you do here is you enter your Name, Grade & Section, and Date which i've already given you. So your assignment is about how you will participate in the seasonal activity. So Advent looks like it would be a Advent Calendar.
Christmas You wanna open gifts
Now I left Ordinary Time blank because you need to put what time you would regularly open gifts or if you do not celebrate Christmas put what time you'd like to open gifts at.
Lent: is where you celebrate Jesus and what he did on his time being on Earth.
Paschal Triduum is basically the same as Lent but it is the proper day you celebrate Jesus Which starts April 13 & Ends Saturday, April 16
Easter: Is where you usually get candy but it is in a hunt form
estimate the line of best fit using two points on the line
Answer:
[tex]y=-8x+80[/tex]
Step-by-step explanation:
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}=\frac{32-64}{6-2}=\frac{-32}{4}=-8[/tex]
[tex]y=mx+b[/tex]
[tex]y=-8x+b[/tex]
[tex]64=-8(2)+b[/tex]
[tex]64=-16+b[/tex]
[tex]80=b[/tex]
Therefore, the estimated line of best fit is [tex]y=-8x+80[/tex]
A veterinarian is trying to decide which website to use for her office. She gathers information on the customer ratings for each website and constructs a boxplot of each. There are the same number of ratings for each website. The results are shown in the following boxplots:
Based on these boxplots, which of the following is true?
The interquartile range for website A is greater than for website B.
The range for website B is greater than for website A.
The median ratings for the two websites are the same.
The interquartile ranges for the two websites are the same.
NO LINKS TO ANSWERS PLEASE ONLY RESPONSES BELOW QUESTION!!!
Based on the boxplots, it can be stated that the interquartile ranges for the two websites are the same.
This is so for the following reasons:
Website A has a range that goes between 10 and 65, that is, 55 points (65 - 10). Website B has a range that goes between 20 and 75, whose difference is also 55 (75 - 20).Learn more about maths in https://brainly.com/question/25811665
Can you prove that 4+2=5+1 is true without solving both sides of equation?
Answer:
Here you go...
Step-by-step explanation:
You have 4, and you have 5.
You have 4+2 and you have 5+1
So, you take a 1 from the 2 in the first problem, which gives u 4+1 that equals 5.
Therefore, if u put the first equation in a simpler form then you get 5+1 with the other equation. So it would look like 5+1=5+1.
FURTHERMORE, 4+2= 5+1 (because you simplify 2 into a 1).
So. 5+1 equals 5+1. (which is common sense... 5+1= 6.)
Which formula gives the zeros of y = sin(x)? k pi for any positive integer k k pi for any integer k StartFraction k pi Over 2 EndFraction for any positive integer k StartFraction k pi Over 2 EndFraction for any integer k.
Answer:
[tex]x=k\pi[/tex] for any integer [tex]k[/tex]
Step-by-step explanation:
To solve the problem we must know about the sine function.
In [tex]y= sin(k\pi)[/tex], the value of k will be any integer to form a circle.
Given in the question :
[tex]y= sin(\pi)[/tex]What is the Value of Sine(kπ)?Among all the options given,
[tex]y= sin(k\pi)[/tex] will always give 0, since the value of [tex]\pi[/tex] is [tex]360^0[/tex]. So, if you multiply any integer to [tex]\pi[/tex] the result will always give a full circle.
therefore, the value of [tex]sin(k\pi)[/tex] will always remains 0.
Hence, In [tex]y= sin(k\pi)[/tex], the value of k will be any integer to form a circle.
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