Answer:
B. 122, 257, 137
Step-by-step explanation:
The triangle inequality rule states that the sum of any two sides of a triangle must be greater than the third side. If A, B and C are sides of a triangle then A + B > C, A + C > B, B + C > A
Testing for the options:
1) 10, 20, 30
10 + 20 (= 30) is not greater than 30. It cannot form a triangle
2) 122, 257, 137
122 + 137 (259) is greater than 257. It can form a triangle
3) 8.6, 12.2, 2.7
8.6 + 2.7 (11.3) is not greater than 12.2. It cannot form a triangle
4) 1/2, 1/5, 1/6
1/5 + 1/6 (11//30) is not greater than 1/2. It cannot form a triangle
If Maggie has 6 feet of ribbon how many sections of ribbon can she cut that are 2/3 of a foot length?
~Divide
6/1 ÷ 2/3
6/1 * 3/2
18/2 or 9
So, she can cut 9 two third sections of ribbon.
Best of Luck!
During the cold winter months, a sheet of ice covers a lake near the Arctic Circle. At the beginning of spring, the ice starts to melt. The variable sss models the ice sheet's thickness (in meters) ttt weeks after the beginning of spring. s=-0.25t+4s=−0.25t+4s, equals, minus, 0, point, 25, t, plus, 4 By how much does the ice sheet's thickness decrease every 666 weeks? meters
Answer: The ice sheet's thickness decrease every 6 weeks= 1.5 meters
Step-by-step explanation:
GIven: At the beginning of spring, the ice starts to melt. The variable sss models the ice sheet's thickness (in meters) t weeks after the beginning of spring. [tex]s=-0.25t+4[/tex]
At t=0, [tex]s=4[/tex]
So, Thickness of ice sheet at the beginning = 4 meters
Now at t= 6, we get
[tex]s=-0.25(6)+4=-1.5+4=2.5[/tex]
Thickness of ice sheet after 6 weeks = 2.5 meters
Decrease in thickness = 4 meters - 2.5 meters = 1.5 meters
Hence, the ice sheet's thickness decrease every 6 weeks= 1.5 meters
Answer:
1.5
Step-by-step explanation:
Do I just set it equal to 180? or am i wrong
Answer:
AB=18 units.
Step-by-step explanation:
So, one of the angle measures is 6x. Since the shape is an equilateral triangle, this means that all the angles measure 6x. In other words, the total measure of the three angles is 6x+6x+6x=3(6x) or 18x. Recall that a triangle has a total interior angle sum of 180. Therefore, set 18x to 180 and solve for x:
[tex]18x=180\\[/tex]
Divide both sides by 18:
[tex]x=10[/tex]
Therefore, x is equal to 10.
Now, since this is an equilaterial triangle, all three side lengths are the same. Thus, AB=BC=AC. We know that BC is equal to x+8. Find BC:
[tex]BC=x+8\\BC=(10)+8\\BC=18[/tex]
And since all the side lengths are equivalent, this means that side AB is also 18 units.
Answer:
See below.
Step-by-step explanation:
The 3 angles in the triangle add up to 180 degrees
Also, as all 3 sides are equal, all 3 angles are also equal and each has the value 180/3 = 60 degrees.
So 6x = 60
x = 10.
Now AB = BC = x + 8
Therefore AB = x + 8
= 10 + 8
= 18.
Solve Please:(c^5)(c)(c^2) Thank You ^-^
Answer:
c^(8)
Step-by-step explanation:
(c^5)(c)(c^2)
When the bases are the same, we can add the exponents when multiplying
The implied exponent on c is c^1
c^( 5+1+2)
c^(8)
Sunita bought a 10 kg box of grapes from the market. She gave 3 1/2 kg of her grapes to her friend Reena and 2 1/4 kg to Anita. How many kilograms of grapes were left with her?
Answer:
17/4 kg
Step-by-step explanation:
Sunita has = 10kg of grapes
Quantity given out :
To Reena =3 1/2
7/2 kg
To Anita =2 1/4
9/4 kg
Total quantity of grape given out
7/2+9/4
(14+9)/4
23/4
Quantity left after giving out = Total quantity of grape before giving out minus quantity of grape given out
10/1 - 23/4
40-23)/4
= 17/4 or 4 1/4
Hence, she has 17/4 kg of grape left with her
what is the value of x to the nearest tenth
Answer:
14.1
Step-by-step explanation:
Use tan to help:
x/7 = tan (64°)x = 7*tan (64°) x = 7*2.05x = 14.1plz hurry thank you!
Greetings from Brasil...
According to the properties of the radiation:
X^(a/b) = [tex]\sqrt[b]{X^a}[/tex]
So
X^(2/3) = [tex]\sqrt[3]{X^2}[/tex]
And
Y^(-3/4) = 1/Y^(3/4)
so 1/Y^(-3/4) = Y^(3/4) = [tex]\sqrt[4]{Y^3}[/tex]
Then we get
[tex]\sqrt[2]{X^3} .\sqrt[4]{Y^3}[/tex]
On the following number line, two rational numbers are graphed. Represent the two numbers as fractions (or mixed numbers) in lowest terms, and write two different expressions to represent the difference between them. Then, find the difference, showing all of your work.
Answer:
The answer is below
Step-by-step explanation:
A rational number is a number in the form p/q where p and q are both integer numbers.
From the number line, each one unit is divided into six, therefore each one point is 1/6 unit. For the first number, it is between 0 and 1 and is on the fifth point, therefore the expression of the first number = 0 + 5(1/6) = 0 + 5/6 = 5/6
For the second number, it is between -1 and -2 and is on the third point, therefore the expression of the second number = -1 - 3(1/6) = -1 - 3/6 = -9/6
The difference between the two numbers is:
5/6 - (-9/6) = 5/6 + 9/6 = 14/6
A local museum charges $25 per adult and $12 per child for admission fees. At the end of a day, the museum made $9,014 in total admission revenue, not including sales tax, and had a total of 450 guests. The system of equations below can be used to model the number of guests that were children, x, and the number of guests that were adults, y.
Answer:
Answer on Edmentum! :)
Step-by-step explanation:
Hope this helps!
The number of children were 172 and number of adults were 278.
What is linear equation?An equation that makes a straight line when it is graphed.
Given that, A local museum charges $25 per adult and $12 per child for admission fees. At the end of a day, the museum made $9,014 in total admission revenue, not including sales tax, and had a total of 450 guests
According to question,
12x+25y = 9014
x+y = 450
Solving using elimination method, we get,
x = 172 and y = 278
Hence, The number of children were 172 and number of adults were 278.
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In a college test, students receive 4 points for every question answered correctly and loses 7 points for every question answered incorrectly. On this particular test, Terry answered 87 questions correctly and 46 questions incorrectly. What is his score for the test?
Answer:Her score is 26
Step-by-step explanation:
To find the answer, we must deduct the total amount of points that are answered correctly
By the total amount of points that are answered incorrectly.
Because = 1 answered correctly = 4 points
= 1 answered incorrectly = deduct 7
points
So= 87 answered correctly × 4 points
= 348 points
So= 46 answered incorrectly × 7 points
=deduct 322 points
Then the answer will be= 348 - 322= 26
Hope this helps!
help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help ill give brainly ;)))
Answer:
A: 2:30
B: 13:15.
C: 4:05 A.M
D: 3:25 P.M
Step-by-step explanation:
Answer:
a) 0230 hours
b) 1315 hours
c) 4:05 am
d) 3:25 pm
Step-by-step explanation:
To change a 12 hour clock to a 24 hour clock, note that when it hits p.m., anything over 12 p.m. will have the number added to it.
a) 2:30 am
2:30 am is earlier than 12 pm, therefore, 0230 is your answer. Remember, you must place the 0 in the front to not confuse a user that the 2 is in the tens place value.* *Essentially, use military time:
b) 1:15 pm
1:15 pm is later than 12 pm, therefore, add 12 to the 1 in the hours. Use military time:
0115 + 1200 = 1315
1315 hours is your answer.
To change a 24 hour clock to a 12 hour clock, note the time frame in which the time is given. if over 1200, then subtract by 12, and add the p.m.
0405 = 4:05 am.
1525 = 12 pm + 3:25 = 3:25 pm.
~
Solve the equation. Do not put "x = "in your answer, just type the number.
Ex: -8 3x - 5 = 13*
Answer:
6
Step-by-step explanation:
3x - 5 = 13
3x = 18 (Add 5 to both sides; 13 + 5 = 18)
x = 6 (Divide both sides by 3; 18 / 3 = 6)
Nimisha wants to draw a wheel like the one shown. Each shaded part of the wheel should be one-third of each unshaded part. What should be the degree measure of the angle formed at the center by each shaded part?
Answer:
Each shade has a 22.5 degree angle from the middle
Each unshaded has a 67.5 degree angle from the middle.
Step-by-step explanation:
You can solve this by making each unshaded part equal to x and each shaded part equal 1/3x it is a circle so it has to equal 360 so you end up with:
x + 1/3x + x + 1/3x + x + 1/3x + x + 1/3x = 360
Combine Like terms:
16/3x = 360
Multiply both sides by the opposite:
(3/16) (16/3x) = (360) (3/16)
x=135/2 or x=67.5
Then you can plug 67.5 in for x:
1/3x ---> 1/3(67.5) = 22.5
According to the number line, which statement MUST be true? A) A > 1 B) B > 4 C) C < 4 D) D < 0
Answer:
C) C < 4
Step-bay-step explanation:
> means "greather than"
< means "less than"
The only statement that is true:
C) C< 4
A man spends 880$ a month. Out of this, 26% goes to his rent. Find how much is his rent.
Answer:
$228.80 paid for rent.
Steps:
Divide the percentage by 100.
26/100=0.26
Multiply this amount by the principal amount, 880.
880*0.26=228.8 is 26% of 880
Answer:
26% of 880
= (26 x 880 ) / 100
= 228.80 ($)
Step-by-step explanation:
Have attached some composite functions completed to show you the whole unit. Hope it helps. The 2nd and third one are part of the same answer.
The forth one attached may help you most.
Write and equation of the line that passes through the pair of points (4,6) and (-1,1)
Answer:
y = x + 2
Step-by-step explanation:
Step 1: Find the slope
[tex]m=\frac{y2-y1}{x2-x1} = \frac{6-1}{4-(-1)}=\frac{6}{6} =1[/tex]
Step 2: Substitute the slope and a point in to find y intercept
(6)=(1)(4)+b
6 = 4 + b
b = 2
Step 3: Substitute all the information in
y = x + 2
Therefore the equation for a line that passes through (4,6) and (-1,1) is y = x + 2
Dena uses 7.4 pints of white paint and blue paint to paint her bedroom walls. 2/5 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use yo paint her bedroom walls
Answer:
4.44 pints
Step-by-step explanation:
7.4 times 3/5
Match the vocabulary word to its correct definition.
1. complex conjugate the sum of a real number and an imaginary number: a + bi, where a is a real number and b is the imaginary part
2. complex number the part of a complex that is multiplied by i; so, the imaginary part of the complex number a + bi is b; the imaginary part of a complex number is a real number
3. i the part of a complex that is not multiplied by i. So, the real part of the complex number a + bi is a; the real part of a complex number is a real number
4. imaginary number a number defined with the property that 12 = -1, so that
5. imaginary part of a complex number the inverse of a complex number a + bi is a complex number c + di such that the product of these two numbers equals 1
6. multiplicative inverse any nonzero multiple of i; this is the same as the square root of any negative real number
7. real part of a complex number the conjugate of a complex number has the opposite imaginary part. So, the conjugate of a + bi is a - bi. Likewise, the conjugate of a - bi is a + bi. So, complex conjugates always occur in pairs
Answer:
1. Complex number.
2. Imaginary part of a complex number.
3. Real part of a complex number.
4. i
5. Multiplicative inverse.
6. Imaginary number.
7. Complex conjugate.
Step-by-step explanation:
1. Complex number: is the sum of a real number and an imaginary number: a + bi, where a is a real number and b is the imaginary part.
2. Imaginary part of a complex number: the part of a complex that is multiplied by i; so, the imaginary part of the complex number a + bi is b; the imaginary part of a complex number is a real number.
3. Real part of a complex number: the part of a complex that is not multiplied by i. So, the real part of the complex number a + bi is a; the real part of a complex number is a real number.
4. i: a number defined with the property that 12 = -1.
5. Multiplicative inverse: the inverse of a complex number a + bi is a complex number c + di such that the product of these two numbers equals 1.
6. Imaginary number: any nonzero multiple of i; this is the same as the square root of any negative real number.
7. Complex conjugate: the conjugate of a complex number has the opposite imaginary part. So, the conjugate of a + bi is a - bi. Likewise, the conjugate of a - bi is a + bi. So, complex conjugates always occur in pairs.
Answer:
Complex number: is the sum of a real number and an imaginary number: a + bi, where a is a real number and b is the imaginary part.
2. Imaginary part of a complex number: the part of a complex that is multiplied by i; so, the imaginary part of the complex number a + bi is b; the imaginary part of a complex number is a real number.
3. Real part of a complex number: the part of a complex that is not multiplied by i. So, the real part of the complex number a + bi is a; the real part of a complex number is a real number.
4. i: a number defined with the property that 12 = -1.
5. Multiplicative inverse: the inverse of a complex number a + bi is a complex number c + di such that the product of these two numbers equals 1.
6. Imaginary number: any nonzero multiple of i; this is the same as the square root of any negative real number.
7. Complex conjugate: the conjugate of a complex number has the opposite imaginary part. So, the conjugate of a + bi is a - bi. Likewise, the conjugate of a - bi is a + bi. So, complex conjugates always occur in pairs.
Step-by-step explanation:
y= 3x - 15
x+y=13
find the solution
Answer:
x+3x-15=13
4x=28
x=7
......
Answer:
[tex]y = 3x - 15 \\ \\ to \: find \: x \: substitute \: y \: into \: 0\\ \\ 0 = 3x - 15 \\ - 3x = - 15 \\ divide \: both \: sides \:by \: - 3 \\ \\ x = 5[/tex]
Nala has 'n' marbles. Paul has three times as many marbles as Nala. Nala loses 5 marbles and Paul buys 10 marbles. Together they now have 105 marbles. Write down and solve an inequality in 'n'
Answer:
Step-by-step explanation:
Nala's marbles = n
Paul's marbles = 3n
nala loses 5 marbles
so nala's marbles = n - 5
paul buys 10 marbles
so paul's marbles = 3n + 10
Total marbles = 105
so,
n - 5 + 3n + 10 = 105
By transposing,
n + 3n = 105 - 10 + 5
4n = 100
n = 100 / 4
n = 25
Hope this helps
plz mark as brainliest!!!!!!!
Consider the following data set with a mean of 12: 9, 11, 12, 16 Using the equation below or the standard deviation formula in Excel, calculate the standard deviation for this data set. Answer choices are rounded to the hundredths place. s equals square root of fraction numerator 1 over denominator n minus 1 end fraction sum from i equals 1 to n of open parentheses X subscript i minus X with bar on top close parentheses squared end root
Answer:
1.83
Step-by-step explanation:
The standard deviation of given data set rounded to the hundredth place is 2.55
Given data set is: 9, 11, 12, 16
The mean of the data set is 12.
The formula for standard deviation is written as:
[tex]\sigma = \sqrt{{\sum^\:n}_{i=1}{\dfrac{(x_i-\overline{x})^2}{n}}\\[/tex]
here n = 4 and x assumes 9, 11, 12 and 16 and mean is 12, thus putting values in the given formula,
[tex]\sigma = \sqrt{\dfrac{[(9-12)^2 + (11-12)^2 + (12-12)^2 + (16-12)^2]}{4}}\\\sigma = \sqrt{\dfrac{[3^2 + 1^2 + 4^2]}{4}}\\\sigma = \sqrt{\dfrac{26}{4}}\\\sigma = \sqrt{6.5}\\\sigma = 2.549..\\\sigma \approx 2.55[/tex]
Thus, standard deviation of given data set rounded to the hundredth place is 2.55
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20 POINTS! ***CORRECT*** ANSWER GETS BRAINLIEST!!!!
The fraction model below shows the steps that a student performed to find a quotient.
Which statement best interprets the quotient?
A. There are 5 1/6 three-fourths in 4 1/8
B. There are 5 1/6 three and one-eights in 3/4
C. There are 5 1/2 three and one-eights in 3/4
D. There are 5 1/2 three-fourths in 4 1/8
Answer:
The answer is A pls mark me brainly
jika pola barisan aritmatika adalah -18,-22,-26,-30, maka u20 + u 22 adalah
Answer:
-196
Step-by-step explanation:
Di sini, berdasarkan urutan aritmatika, kita ingin mencari nilai dari suku ke-22 ditambah suku ke-20.
Dari urutan tersebut, kita bisa membuat beberapa potongan.
Suku pertama a dari barisan tersebut adalah -18 Perbedaan persekutuan d = -22 - (- 18) = -22 + 18 = -4
Untuk menghitung suku ke-20, kita menggunakan rumus untuk suku ke-n dari sebuah barisan, di mana n = 20
U20 = a + (20-1)
d U20 = -18 + 19 (-4) = -18 - 76 = -94
U22 = a + (22-1) d
U22 = -18 + 21d U22 = -18 + 21 (-4) U22 = -18 - 84 = -102 Jadi;
U22 + U20 = -102 + (-94) = -196
What is the value of (-7 + 3i) - (2 - 6i)?
-5 + 91
-5 -3i
-9-31
-9 + 91
Greetings from Brasil...
Real part with real part, complex part with complex part...
(-7 + 3i) - (2 - 6i)
(-7 + 3i) - (2 - 6i) = ((-7 - (+ 2)) + (3i - (- 6i))) = - 5
((-7 - 2) + (3i + 6i))
- 9 + 9ipls help me !!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer & Step-by-step explanation:
Let's start with the first problem.
1.) 9a⁴b⁴ - 27a³b³
Now, we have to find a number or a term that can be divisible by both terms in the expression. 9 and 27 have a common factor of 9. a⁴b⁴ and a³b³ have a common factor of a³b³. So, let's use this information to find our answer.
The GCF of the expression is 9a³b³
Now, let's do the second problem.
2.) x² - 36
For this problem, we have to factor out the expression. Since this a perfect square binomial, we can just square the terms and that will give us our answer.
The factored form of this expression is (x + 6)(x - 6)
Lastly, let's do the third problem.
3.) x² + 7x + 10
For this problem, we are going to have to factor again. First, we can break down the middle term so we can factor the expression.
x² + 2x + 5x + 10
Now, we pair the first two terms together and the last two term together.
(x² + 2x) + (5x + 10)
Now, we factor each parentheses by finding the common factor between them.
x(x + 2) + 5(x + 2)
Since, our terms are the same in each parentheses, then that means we have factored correctly.
The factored form of this expression is (x + 5)(x + 2)
Is the statement [x]=[x+1] true for all real numbers
Answer:not true
Step-by-step explanation:
To say not true we need only one example so we can take x as -5
[-5]= [-5+1]
5 not equal with 4
Find the slope of the line containing the points (7, 5) and (2, 4).
Answer:
[tex] \boxed{ \frac{1}{5} }[/tex]Step-by-step explanation:
Let the points be A and B
A ( 7 , 5 ) ⇒( x₁ , y₁ )
B ( 2 , 4 )⇒( x₂ , y₂ )
Now, let's find the slope of the line which contains these points:
Slope = [tex] \mathsf{\frac{y2 - y1}{x2 - x1} }[/tex]
plug the values
⇒[tex] \mathsf{ \frac{4 - 5}{2 - 7} }[/tex]
Calculate
⇒[tex] \mathsf{ \frac{ - 1}{ - 5} }[/tex]
Reduce the fraction with -1
⇒[tex] \mathsf{ \frac{1}{5} }[/tex]
Hope I helped!
Best regards!
Help, Answer ASAP; will give brainliest
Answer:
Step-by-step explanation:
measure of a = 9 degree
angle POM = 48 degree = angle NMO [ AIA}
HOPE IT HELPS
Answer:
Below
Step-by-step explanation:
We are given that <PMO= (3a+15)° and NMO= (6a-6)°
Notice that the sum of <PMO and <NMO gives a right angle.
● <PMO+<NMO = 90°
● 3a+15+6a-6 = 90
● 9a + 9 = 90
Substruct 9 from both sides
● 9a +9 -9 = 90 -9
● 9a = 81
Divide both sides by 9
● 9a/9 =81/9
● a = 9
So the value of a is 9°
■■■■■■■■■■■■■■■■■■■■■■■■■■
MN and PO are parallel since MNOP is a rectangle.
MO is crossing MN and PO so <POM and < NMO are alternate interior angles wich means that they have the same size.
● <NMO = <POM
● <POM = 6a-6
The value of a is 9°
● <POM = 6*9-6 = 48°
So <POM = 48°
solve 7 + x - 15=-2 2/3
Answer:
16/3 or 5 1/3
Step-by-step explanation:
7 + x - 15 = -2 2/3
x - 8 = -2 2/3
x = 16/3
Answer:
Let's solve your equation step-by-step.7+x−15=223
Step 1: Simplify both sides of the equation.
x−8=8/3
Step 2: Add 8 to both sides
.x−8+8=8/3+8x=32/3
Answer:x=10 2/3
i just answered this question on an algebra quiz and it was multiple choice, i hope this helps!
A study found that the expected annual income in a certain area is $17,255. Which of the following statistical measurements most likely led to this conclusion? Mean, range, median or mode?
Answer:
Mean
Step-by-step explanation:
mean is the average of numbers put together and divided by the total amount of numbers, when finding the average annual income using the mean would be most effective
