Answers
Answer:
c. 60
Step-by-step explanation:
The remote angles theorem states that when one extends one of the sides of a triangle, the angle between one of the existing sides and the extension is equal to the sum of the two non-adjacent angles in the triangle. One can apply this theorem here by stating the following,
101 = 41 + x
Use inverse operations to solve for parameter (x),
101 = 41 + x
-41 -41
60 = x
Related Questions
13. Your school is sponsoring a charity race. Which set of numbers best describes the number of people
who participate in the race?
a. Natural numbers
c. Rational numbers
b. Integers
d. Irrational numbers
Answers
Answer:c
Step-by-step explanation:
The set of numbers that best describes the number of people who participate in the race is given by: Option A: Natural numbers.
What are natural numbers, rational numbers, integers and irrational numbers?Natural numbers are: 1, 2, 3, .... Integer numbers are: ...., -2, -1, 0, 1, 2, ... (so it includes positive and negative natural number, and 0 )Rational numbers are numbers which can be written in the form of [tex]\dfrac{a}{b}[/tex]integers. Example: 1/2, 3.5 (which is writable as 7/5) etc.Irrational numbers are those real numbers which are not rational numbers. Example: [tex]\pi, \sqrt{2}[/tex] etc.Know that all natural numbers are integers, all integers are rational numbers. That means, natural numbers are not irrational.
The count of people participating in the race is going to be in integers, but only non-negative.
Actually the correct option would be 'whole numbers' (whole numbers are 0, 1, 2, ... so they include 0 in addition to natural numbers). It is because it may be that no one participates in the race.
But for the given condition, assuming that at least 1 person participates in the race, we deduce that the number of people participating in race is needed to be a natural number. (as people's count can't be negative, or in fractions, or irrational(which doesn't include integers at all) ).
Thus, the set of numbers that best describes the number of people who participate in the race is given by: Option A: Natural numbers.
Learn more about natural numbers here:
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Just help please need to pass
Answers
Answer: [tex]\frac{1}{10}[/tex]
Step-by-step explanation:
First, we need to find the common denominator
The easiest way to do this is by multiplying the two given denominators, which are 2 and 5.
2 × 5 = 10
So, our common denominator is 10. Then, multiply the numerators of the two fractions by 2 and 5. Here's why:
[tex]\frac{3*2}{5*2}[/tex] = [tex]\frac{6}{10}[/tex] We multiplied the top and bottom by 2 to make sure our new fraction stays equivalent to the original fraction.
Do the same thing for the other one:
[tex]\frac{1*5}{2*5}[/tex] = [tex]\frac{5}{10}[/tex]
Finally, subtract the two fractions to find the difference between the two times:
[tex]\frac{6}{10} -\frac{5}{10}[/tex] = [tex]\frac{1}{10}[/tex]
The reason we used the common denominator is because we can only add or subtract fractions if they have the same denominator.
I need help to answer this
Answers
Answer: A
Step-by-step explanation:
help i dont understand this
Answers
Answer:
it's b 12 i think
Step-by-step explanation:
Catherine sells bags of popcorn at the theatre. The bags come in three sizes.
small
60g
£1.49
medium
150g
£3.99
large
250g
£5.99
Catherine thinks the medium bag of popcorn is the best value for money.
Is the medium bag of popcorn the best value for money?
Use the space below to show clearly how you get your answer
Answers
Answer:
The answer is the most reasonable one which I think large is
Step-by-step explanation:
Because it's only 100 grams more and $2 bucks seems like a good deal
Please Help if you can!! I also have more questions in my profile!
Answers
Answer:
(0, 9), (0, 0), (0, 1)
Step-by-step explanation:
Hope it helps you in your learning process.
What is the equation of the line that is perpendicular to line y= -2x+11 and crosses
point (-6, 8)?
y = 1 /2x
y = 1/2x -21
y = 1/2x – 10
y =1/2x + 11
Answers
Answer:
[tex]slope \ of \ y = -2x + 11, m_{1} = -2\\\\Let \ the \ slope\ of \ the \ new \ line \ be \ m_{2} \\\\ Since \ the \ line \ is \ perpendicular \ to \ the\ given \ line, m_{1} \cdot m_{2} = -1\\\\-2 \cdot m _{2} = -1\\ \\m _{2} = \frac{1}{2} \\\\Equation \ of \ the \ line \ passing \ through (-6, 8) \ slope = \frac{1}{2} \\\\(y - y_{1}) = m_{2}(x-x_{2} )\\\\(y-8) =\frac{1}{2} (x-(-6))\\\\y -8 =\frac{1}{2} (x+6)\\\\y = \frac{1}{2}x +3 +8\\\\y =\frac{1}{2}x + 11[/tex]
option 4
factorise: 18x - 42y + 30z
Answers
Answer:
divide by 6
6 ( 3x - 7y + 5z )
The table shows the record low temperatures In Juneau, Alaska for each of the 12 months of the year in degrees F.
Record Low Temp
Month
Year
(in °F)
January
-22
1972
February
-22
1968
March
-15
1972
April
6
1963
May
25
1972
June
31
1971
July
18
1895
August
27
1948
September
23
1972
October
11
1984
November
-5
2006
December
-21
1941
According to the data, what is the range of the record low temperatures in Juneau, Alaska?
O A. -22°
OB. 4.67°
D. 31°
E. 539
O c. 8.50
Answers
Answer:
i think -22
Step-by-step explanation:
A quadrilateral must be a parallelogram if
(1) one pair of sides is parallel and one pair of angles is congruent
(2) one pair of sides is congruent and one pair of angles is congruent
(3) one pair of sides is both parallel and congruent
(4) the diagonals are congruent
Answers
Answer:
Square
Step-by-step explanation:
The soup pot is 8 inches tall with a radius of 3 inches.
What is the volume of the soup pot?
150.8 cubic inches
anything
99+
Answers
Answer:
The volume of the soup pot is of 226.19 cubic inches.
Step-by-step explanation:
Format of a soup pot:
A soup pot has a cylindrical format.
Cylinder volume:
The volume of a cylinder, with radius r and height g is given by:
[tex]V = \pi r^2h[/tex]
The soup pot is 8 inches tall with a radius of 3 inches.
This means that [tex]h = 8, r = 3[/tex]
What is the volume of the soup pot?
[tex]V = \pi r^2h = \pi*3^2*8 = 72\pi = 72(3.1415...) = 226.19[/tex]
The volume of the soup pot is of 226.19 cubic inches.
Find an expression witch represents the difference when (10x-8y) is subtracted from (-4x-9y) in the simplest form
Answers
Answer:
ye
Step-by-step explanation:
What is the lead coefficient of the polynomial below?
3x^2+ 8x + 5
Answers
Answer:
The lead coefficient is 8
Step-by-step explanation:
This is because it is the biggest number that is right before the x or that is the coefficient.
The leading coefficient of the polynomial is given by C = 3
What is a polynomial?Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the polynomial equation be represented as A
Now , the value of A is
A = 3x² + 8x + 5
On simplifying the equation , we get
The leading coefficient of a polynomial is the coefficient of the term with the highest degree. In this case, the polynomial 3x² + 8x + 5 has a term with degree 2 (the x² term) and the coefficient of that term is 3
Hence , the lead coefficient of this polynomial is 3
To learn more about polynomial equations click :
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WILL
GIVE
BRAINLISTTT
WHAT DO I DO HERE
.
Answers
answer:
below is a sample of a bar graph
step-by-step explanation:
label the bars according to the color they correspondlet me know if you need more explanationAnswer:
I identified it by color, but you must specify it by names because it is difficult for me to write on that program
Find the surface area of the prism.
Answers
s = 2b + PH
s = 4(3 * 4) + (8)(96) =
s = 4(12) + (8)(96)
s = 48 + (8)(96)
s = 48 + 768
s = 816
A researcher reported that 71.8% of all email sent in a recent month was spam. A system large corporation believes that the percentage at his company may be 77 % . He manager at a examines a random sample of 500 emails received at an email server, and finds that 361 of the messages are spam.
Required:
Can you conclude that less than 77% of emails are spam?
Answers
Answer:
p-value = 0.0054
at 0.05 level of significance ∝
p-value ( 0.0054 ) is less than significance level ∝ ( 0.05 )
Thus we Reject Null hypothesis H₀
Hence, there is enough evidence to conclude that less than 77% of emails are spam.
Step-by-step explanation:
Given the data in the question;
Sample size n = 500
x = 361
p₀ = 77% = 0.77
q₀ = 1 - p₀ = 1 - 0.77 = 0.23
p = x / n = 361 / 500 = 0.722
Hypothesis;
Null hypothesis H₀ : p ≥ 77% or 0.77
Alternative hypothesis Hₐ : p ≥ 77% or 0.77
Test Statistic
z = ( p - p₀ ) / √( ( p₀ × q₀ ) / n )
so we substitute
z = ( 0.722 - 0.77 ) / √( ( 0.77 × 0.23 ) / 500 )
z = -0.048 / √( 0.1771 / 500 )
z = -0.048 / √0.0003542
z = -0.048 / 0.01882
z = -2.55
so our p-value will be;
p-value = p( z < -2.55 ) {from table }
p-value = 0.0054
at 0.05 level of significance ∝
p-value ( 0.0054 ) is less than significance level ∝ ( 0.05 )
Thus we Reject Null hypothesis H₀
Hence, there is enough evidence to conclude that less than 77% of emails are spam.
I need help I’m confused
Answers
Answer:
1.15x10^12
Step-by-step explanation:
Solve the system of equations below by graphing. Y=-5x and y=x-6
Answers
9514 1404 393
Answer:
(x, y) = (1, -5)
Step-by-step explanation:
Using a graphing calculator to solve equations such as these is quick and easy. It is one of my favorite methods. The attached graph shows the solution is ...
(x, y) = (1, -5)
fy: 143 +1.42 + 2.9°
Answers
Answer:
what does fy mean
Step-by-step explanation:
Step-by-step explanation:
I tell my friends about this and I found that FY means Fiscal year
Mrs. Lia has 10 pounds of clay. She divides the clay into 1/2 pound blocks. If Mrs. Lia sets aside 3 of the blocks and gives the rest to her students, how many 1/2 pound blocks of clay does mrs. lia give to her students
Answers
Answer:
17 blocks
Step-by-step explanation:
1/2 = 0.5
10/0.5 = 20 blocks of clay
20 - 3 = 17 given to the students
Answer:
17
Step-by-step explanation:
If A={2,4,6,8,10,12,14} and B={1,3,6,9,12,15,18,21}. Find A∪B.
Answers
Answer:
{1, 2, 3, 4, 6, 8, 9, 10, 12, 14, 15, 18, 21}
Step-by-step explanation:
A∪B is A union B
which is the elements that appear in either set
What are 3 numbers that make this inequality True? 4x-9 > 27
Answers
Answer:
10, 11, 12
Step-by-step explanation:
simplify the inequlity:
=> 4x > 36
=> x > 9
x = 10, 11, 12...
Fid the cosine of angle Q. Round your answer to the nearest hundredth.
Answers
mrs.johnson is working on math with a group of students. she has a total of 15 students. 9 of them are girls. what is the ratio of boys to girls for mrs.johnsons math group?
make sure you simplify all ratios and fractions
Answers
Answer:
6
Step-by-step explanation:
the rest are boys
You take Rocky to the Del Mar fair. His mom gives him $30 to spend. It costs $13 to get in and the $2 for every ride. How many rides can he ride?
Answe r with the system of equations. Please help me.
Answers
Answer:
8 rides
Step-by-step explanation:
$30-$13
=$17
1 ride= $2
x ride =$17
x= 17/2
= 8.5
= 8 rides
You take Rocky to the Del Mar Fair. His mom gives him $30 to spend.
It costs $13 to get in and $2 for every ride. he can ride 8 rides.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
You take Rocky to the Del Mar Fair. His mom gives him $30 to spend.
It costs $13 to get in and $2 for every ride.
$30 - $13
= $17
Let x be the ride he can rides.
1 ride = $2
x ride = $17
x = 17/2
= 8.5
= 8 rides
Learn more about equations;
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Nathan brought a box of muffins to school so that he could share them with his friends. Along the way, a stray dog ate half of his muffins. He now has 8 muffins left. How many muffins did he start with?
Answers
Answer:
he had 16 muffins
Step-by-step explanation:
can i have brainly
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
Answers
Answer:
4/ 7-4
Step-by-step explanation:
Determine the point that would partition the segment from \large \left(-2,3\right)to \large \left(5,-4\right)into a ratio of \large 2:3
Answers
Answer:
Partitioning a line segment, AB, into a ratio a/b involves dividing the line segment into a + b equal parts and finding a point that is a equal parts from A and b equal parts from B. When finding a point, P, to partition a line segment, AB, into the ratio a/b, we first find a ratio c = a / (a + b).
Step-by-step explanation:
I copied it from internet and did this one answer in my today's test so I can't guarantee it's correct but say let's wait##
What 3 dimensional solid will be formed by rotating the given figure around the given line of symmetry?
Answers
Answer:
option D)
Step-by-step explanation:
when a equilateral triangle is rotated about x-axis
rotating equilateral triangle about x-axis will lead to the formation of cone in.
the height of the equilateral triangle will represent height of the cone.
the base of the equilateral triangle will represent the circular base of the cone
and the slant height of the cone will represented by the sides.
hence, the correct answer will cone which is option D)
In Oklahoma the state sales tax rate is 7%. If
James purchases a lawn mower at $350.00, then
how much will James pay in state sales tax?
Answers
Write 7% as a decimal by dividing by 100:
7/100 = 0.07
Multiple the price of the mower by the decimal:
350 x 0.07 = 24.50
The tax = $24.50