Given:
The interior angle of a regular polygon is 132 degrees.
To find:
The given statement is possible or not.
Solution:
Let as assume the interior angle of a regular polygon with n vertices is 132 degrees.
Then, the exterior angles are
[tex]180^\circ-132^\circ=48^\circ[/tex]
We have, n vertices. So, the number of exterior angles is n.
Sum of all exterior angles = 48n degrees
We know that, sum of all exterior angles of a regular polygon is always 360 degrees.
[tex]48n=360[/tex]
[tex]n=\dfrac{360}{48}[/tex]
[tex]n=7.5[/tex]
Number of vertices is always a whole number. So, it cannot be a fraction value.
So, our assumption is wrong.
Therefore, a regular polygon cannot have an interior angle of 132 degrees.
4. Mary has a pet ferret. She bought a bag of ferret food that contains 12 cups of food. The maker of the ferret food suggests feeding a ferret only a cup of food a day. If Mary follows the suggestion, for how many days can she feed her ferret from the bag of food before she needs to open a new bag?
Answer:
12 days.
Step-by-step explanation:
She would have enough food to feed her pet ferret for 12 days, at a cup a day, before she would need to buy more.
Hope this helps!, If so please mark the brainliest and peace and love!!!!
I need help with this problem
Answer:
y=1(3)^x
Step-by-step explanation:
First take the y and do 3/1
Then take x and do 1-0
Then do 3(sqrt)1 which is just 3
3 is ur b value
Then it is y=1(3)^x
convert 11/8 and 5/9 to decimals
Solve for x.
0s 3x-6s 18
O0sxs8
O 2sxs8
O xs0 or x 2 8
O xs2 or x > 8
HURRY PLSS
Answer:
2 ≤ x ≤ 8
Step-by-step explanation:
This is a compound inequality and we are going to solve for x on both sides
For the first part,
0 ≤ 3x - 6
6 ≤ 3x
6/3 ≤ x
2 ≤ x
For the second part
3x - 6 ≤ 18
3x ≤ 18 + 6
3x ≤ 24
x ≤ 24/3
x ≤ 8
So the solution will be;
2 ≤ x ≤ 8
HELP FAST DUE IN 5 MINS ! URGENT!!!! BRAINLIEST!!
Juan deposited $2,250 in the bank to celebrate the birth of his son. After three years, he received his statement and the bank said he had $2,587.50 in the account.
How much interest did Juan earn in three years?
How much interest did Juan earn per year?
What was the interest rate?
Question
Juan deposited $2,250 in the bank to celebrate the birth of his son. After three years, he received his statement and the bank said he had $2,587.50 in the account.
How much interest did Juan earn in three years?
How much interest did Juan earn per year?
What was the interest rate?
Answer: GOOD LUCK
337 and 112.33
Answer:
337 and 112.33
Step-by-step explanation:
First answer is 337 u take the difference between the 2 numbers. And the interest is 112.33 per year u divide the interest by 3. I hope this helps.
In Algebra you learned that Difference of Perfect Squares is x^2 - 25 = (x+5)(x-5)
Is there a way to factor the sum of perfect squares? ex: x^2 + 25 = (?)(?)
9514 1404 393
Answer:
yes, if you allow complex numbers; no, if you don't
Step-by-step explanation:
The sum of squares can be considered to be the difference of squares, where one of the squares is negative. The negative square is the square of an imaginary number, so the factoring involves imaginary numbers.
x^2 +25 = x^2 - (-25) = x^2 -(5i)^2
= (x -5i)(x +5i) . . . . factoring in the complex numbers
There is no factoring in real numbers.
Answer:
dd4l
Step-by-step explanation:
yup
-6x+yx=8 solve for x
Answer:
x= 8/ 6 + y
Step-by-step explanation:
2. Two teachers, Mr. Donahue and Mrs. Ortiz, decide to buy mechanical pencils and rulers for their classrooms. Mrs. Ortiz buys 50 mechanical pencils and 30 rulers for $55. Mr. Donahue buys 30 of each for $45. What was the price per mechanical pencil? What was the price per ruler?
a. Fill in the equation for the cost of Mrs. Ortiz's purchase. Let x represent the cost of a pencil and y represent the cost of a ruler.
______ = ______ x + ______ y
b. Fill in the equation for the cost of Mr. Donahue's purchase. Let x represent the cost of a pencil and y represent the cost of a ruler.
______ = ______ x + ______ y
c. Circle the best method for solving the system:
Graphing Substitution Elimination
d. Solve the system using the method you chose.
A mechanical pencil costs ______ and a ruler costs _______.
e. Check your answer:
Answer:
Step-by-step explanation:
a. Fill in the equation for the cost of Mrs. Ortiz's purchase. Let x represent the cost of a pencil and y represent the cost of a ruler.
__$55__ = __50__ x + __30_ y
b. Fill in the equation for the cost of Mr. Donahue's purchase. Let x represent the cost of a pencil and y represent the cost of a ruler.
__$45__ = __30__ x + __30__ y
c. Circle the best method for solving the system:
Elimination
d. Solve the system using the method you chose.
55 =50x+30y
-1(45) =(30x+30y)-1 = -45=-30x-30y
55 =50x+30y
+ -45=-30x-30y
10=20x
(1/20)10=20x(1/20)
0.50=x
3(55) =(50x+30y )3 = 165=150x+90y
-5(45) =(30x+30y)-5 = -225=-150x-150y
165 =150x+90y
+ -225=-150x-150y
-60=-60y
(1/-60)-60=-60y(1/-60)
1=y
A mechanical pencil costs _$0.50__ and a ruler costs __$1.00__.
e. Check your answer:
$55=50x+30y $45=30x+30y
$55=50(0.5)+30(1) $45=30(0.5)+30(1)
$55=25+30 $45=15+30
$55=$55 $45=$45
A mechanical pencil costs $0.50 and a ruler costs $1.00.
What is meant by cost?In calculus, a cost function is a mathematical formula used to determine how much it will cost to produce a certain number of units. The total cost formula is used to calculate the total cost by combining the variable and fixed costs of providing goods. Total cost = (average fixed cost x average variable cost) x number of units produced. A unit price is defined as a price expressed as a quantity of one, such as $25 per ticket or $0.89 per can. If you have a non-unit price, such as $5.50 for 5 pounds of potatoes, and want to find the unit price, divide the terms of the ratio.The current answer as follows:
a. Fill in the blanks to calculate Mrs. Ortiz's purchase price. Let x denote the price of a pencil and y the price of a ruler.
$55 = 50x + 30y
b.Fill in the blanks with the cost of Mr. Donahue's purchase. Let x represent the cost of a pencil and y represent the cost of a ruler.
$45 = 30x + 30y
c. Circle the best method for solving the system:
Elimination
d. Solve the system using the method you chose.
55 = 50x + 30y - 1(45) = (30x + 30y) - 1 = -45 = -30x - 30y
55 = 50x + 30y + -45 = -30x - 30y
10 = 20x
(1/20)10 = 20x (1/20)
0.50 = x
3(55) = (50x + 30y )3 = 165 = 150x + 90y
-5 (45) = (30x + 30y) - 5 = -225 = -150x - 150y
165 = 150x + 90y + -225 = -150x - 150y
-60 = -60y
(1/-60) -60 = -60y (1/-60)
1 = y
A mechanical pencil costs $0.50 and a ruler costs $1.00.
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What irrational number is between 4.12 and 4.13
A.)sqrt{19}
B.)sqrt{23}
What is x + 2/3 = 5/6
The final statement is: The value of x is 1/6
What are linear equations?Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.
Given here: The expression x+2/3=5/6
substracting -2/3 both sides x=5/6-2/3
x=1/6
Hence, The value of x is equal to 1/6
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Answer:
x = 1/6
Step-by-step explanation:
Given equation,
→ x + (2/3) = 5/6
Now the value of x will be,
→ x + (2/3) = 5/6
→ x = (5/6) - (2/3)
→ x = (5/6) - (4/6)
→ x = (5 - 4)/6
→ [ x = 1/6 ]
Hence, the value of x is 1/6.
Eliza is planning a 5-day trip. She has budgeted $38.25 a day for food and the hotel will cost a total of $349.75. She also is bringing $495.00 for spending money. What is the average cost per day for Eliza’s trip?
Answer:
$207.20
I hope this can help in any way!
In a long division exercise the divisor is 8x5−4x. What is the degree of the remainder for which the division process can be stopped?
Answer:
The degree of the remainder should be 4 for the division process to be stopped
Step-by-step explanation:
From the question, we have the degree of the divisor as 5
So, for the division process to be stopped, the degree of the remainder should be one less than the degree of the divisor
Once the degree of the remainder is less than the degree of the divisor, we have no option that to stop and not proceed further with the division
So in the case of the particular question, the degree of the remainder should be of degree 4
7.2x10^-3 I need help on this.
Answer:
0.0072
Step-by-step explanation:
The answer is 0.0072. I really hope this helps!
If it does help can you be kind and mark me the brainliest please? Peace and Love
40 of what number is 50.8
Answer:
if you are trying to say 40 percent, its 127
Answer:
1.27Step-by-step explanation:
50.8/40=1.27
40 *1.27=50.8 if that is not your question just tell me
Ramon is a parking lot attendant. He estimates that 30% of the cars in the lot are sedans, 10% are minivans, and 20% are SUVs. He designs a simulation. Let 0,1; and 2 represent sedans. Let 3 represent minivans. Let 4 and 5 represent SUVs. Let 6, 7, 8, and 9 represent other cars. The table shows the simulation results. 0435 2512 0290 2452 6392 5306 7507 7268 8818 8028 3481 9296 2670 6810 1773 3557 4172 7737 9872 5423 What is the probability that at least one of the next four cars that enter the lot is an SUV? A. 60% B. 45% C. 55% D. 50%
Answer:
B) 45%
Step-by-step explanation:
There are 20 trials in total.
It says that the numbers 4 and 5 represent SUVs. All we have to do is look and count how many trials of the 20 that have the number 4 or 5.
That would be 9 trials that have the number 4 or 5 within it. Then you divide them. 9/20 = 0.45 or 45%
Answer:
45%
Step-by-step explanation:
it was the right answer
In 5 hours, Jamie walked 14 miles. She is trying to figure out how many hours it would take to walk 25 miles. She set up the proportion
[tex] \frac{14}{5} = \frac{x}{25} [/tex]
Answer the following questions.
1. What error did Jamie make in setting up her proportion?
2. What is the proportion she should have used? 3. How many hours will it take Jamie to walk 25 miles?
Answer:1) 14/5 isnt right, it would be more miles in less time. 2) [tex]\frac{5}{14}[/tex] Is the correct way. 3) 9 hours, 20 mins
Step-by-step explanation:
The proportion Jamie should set up is 14/5=25/x and 9 hours will it take Jamie to walk 25 miles
What is Ratio and Proportion?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other.
Given that In 5 hours, Jamie walked 14 miles.
Jamie is trying to figure out how many hours it would take to walk 25 miles.
She set up the proportion 14/5=x/25.
The error Jamie make in setting up her proportion is in LHS taken as miles per hours but in RHS the set up is hours by miles.
In both sides same set up should be maintained.
14/5=25/x is the proportion she should have used
14/5=25/x
Apply cross multiplication
14x=25(5)
14x=125
x=125/14
x=8.92=9
Hence, the proportion Jamie should set up is 14/5=25/x and 9 hours will it take Jamie to walk 25 miles
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Look at the photo pick A B C D either one explanation not needed thank you! <3
Answer:
A
Step-by-step explanation:
-5 i s greater than -2.
Nope that aint true
-2 is greater than -5 is correct since -2 is closer to the postivie numbers and zero.
-5 is farther so it is less than -2.
What is sin 28°?
I need help ASAP
Answer:
sin 28° = 8/17
Step-by-step explanation:
sin A = opp/hyp
sin 28° = 8/17
The value of sin 28° is: sin 28° = 8/17
So, Option B is correct.
Here, given that, a right angle triangle has hypotenuse = 17 units,
height = 8 units,
base = 15 units.
now, we have, the angle between hypotenuse and base is: sin 28°.
from trigonometry we know that,
sin A = opp/hyp
so, here, we get, sin 28° = height/hypotenuse
putting the values, we have,
sin 28° = 8/17
Hence, The value of sin 28° is: sin 28° = 8/17
So, Option B is correct.
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The goal of a good budget plan is to save at least
a) 5% of your monthly earnings
b) 10% of your monthly earnings
c) 20% of your monthly earnings
Answer:
10% of your monthly earning
Can someone pls help me solve this
Answer:
I'm sorry if I'm not helpful but I think it is 70 degrees
Step-by-step explanation:
please help with this question
Answer:
alternate interoir
Step-by-step explanation:
Answer:
alternate interior
Step-by-step explanation:
don't really know how to explains this one, it's just the definition of alternate interior angles: "angles on opposite sides of the transversal, in between two lines"
help with the question above I have NO IDEA
Answer:
I would say not a function but im not 100% sure, i would go with not a function. Tell me if im wrong.
Step-by-step explanation:
There are 40 people at a party. If 8 boys leave and 2 girls come, then the number of boys will be equal to the number of girls. Find the initial number of boys and girls.
Answer:
25 boys, 15 girls
Step-by-step explanation:
You can setup 2 equations where b is the number of boys and g is the number of girls to get [tex]b+g=40[/tex] and [tex]b-8=g+2[/tex]. Simplifying the second equation gets you [tex]b-10=g[/tex] insert [tex]b-10[/tex] for g in the first equation to get [tex]2b-10=40[/tex]. Simplify this equation to get [tex]b=25[/tex]. To find the number of girls, substitute 25 for b in the first equation to get [tex]g=15[/tex]
what is the value of 8x -- 4, if x= 5
Answer:
36
Step-by-step explanation:
since x=5, you multiply 8x5 to get 40. then, subtract four.
Solve for x. 4x^2 – 2x + 3 = 0
Answer:
[tex]x=\frac{1\pm i\sqrt{11}}{4}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]Algebra II
Imaginary Roots: √-1 = iStep-by-step explanation:
Step 1: Define Equation
4x² - 2x + 3 = 0
Step 2: Identify Variables
a = 4
b = -2
c = 3
Step 3: Solve for x
Substitute [Quad Formula]: [tex]x=\frac{2\pm\sqrt{(-2)^2-4(4)(3)} }{2(4)}[/tex]Evaluate Exponents: [tex]x=\frac{2\pm\sqrt{4-4(4)(3)} }{2(4)}[/tex]Evaluate Multiplication: [tex]x=\frac{2\pm\sqrt{4-48} }{8}[/tex]Evaluate Subtraction: [tex]x=\frac{2\pm\sqrt{-44} }{8}[/tex]Factor Radical: [tex]x=\frac{2\pm\sqrt{-1} \sqrt{44} }{8}[/tex]Simplify Radicals: [tex]x=\frac{2\pm 2i\sqrt{11} }{8}[/tex]Factor Numerator GCF: [tex]x=\frac{2(1\pm i\sqrt{11}) }{8}[/tex]Simplify: [tex]x=\frac{1\pm i\sqrt{11}}{4}[/tex]Solve the following system equation graphically on the set of axes below y= x+4 and y= -3/2 - 1 PLEASE HELP MEEE
Answer:
y=4
y= -1
Step-by-step explanation:
help me please i need u girl
Answer:
D 36
Step-by-step explanation:
I checked it and it’s right hope this helps!
helpppp!!! look at the ss
Answer:
Step-by-step explanation:
they are asking where is the center of the shape
it's at 1/3 of the way in both direction so V looks about right
use the matrix tool to solve the system of equations choose the correct ordered pair4x-y=10 and 8x+5y=34
Answer:
[tex]\left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}3\\2\\\end{array}\right][/tex]
Solution of the given system of equations
x = 3 and y= 2
Step-by-step explanation:
Step(i):-
Given system of equations are
4x - y = 10 ...(i)
8x +5y = 34...(ii)
The matrix form
A X = B
[tex]\left[\begin{array}{ccc}4&-1\\8&5\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}10\\34\\\end{array}\right][/tex]
Step(ii):-
By using matrix inversion method
[tex]A^{-1} = \frac{1}{|A|} adj A[/tex]
|A| = ad-b c = 4(5) - 8(-1) = 20+8 = 28
Given matrix
[tex]A = \left[\begin{array}{ccc}4&-1\\8&5\\\end{array}\right][/tex]
[tex]AdjA = \left[\begin{array}{ccc}d&-b\\-c&a\\\end{array}\right][/tex]
[tex]A djA = \left[\begin{array}{ccc}5&1\\-8&4\\\end{array}\right][/tex]
Inverse of the matrix
[tex]A^{-1} = \frac{1}{|A|} adj A[/tex]
[tex]A^{-1} = \frac{1}{|A|} A djA =\frac{1}{28} \left[\begin{array}{ccc}5&1\\-8&4\\\end{array}\right][/tex]
Step(iii):-
The solution of the given system of equations by using matrix inversion method
X = A⁻¹ B
[tex]X = A^{-1}B =\frac{1}{28} \left[\begin{array}{ccc}5&1\\-8&4\\\end{array}\right]\left[\begin{array}{ccc}10\\34\\\end{array}\right][/tex]
[tex]X = A^{-1}B =\frac{1}{28} \left[\begin{array}{ccc}5X10+1X34\\-8X10+4X34\\\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}x\\y\\\end{array}\right] =\frac{1}{28} \left[\begin{array}{ccc}84\\56\\\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}3\\2\\\end{array}\right][/tex]
Final answer:-
Solution of the given system x = 3 and y= 2
Plz help me!! Plz!!!!
Answer: x=15
Step-by-step explanation: Side splitter theorem means you can treat the triangle sides as a ratio. So if 25/15 = 1.666666667 then 1.666666667*9 = 15