Answer:
,-3
A magic square is a square grid where the numbers in each row, column, and diagonal add up to the same total. In this case, we have 8 numbers to fill in a 3x3 grid, so we'll start with the number in the middle cell, which must be 1 to balance the negative numbers around it:
|- - -|
|- 1 -|
|- - -|
Now let's fill in the other cells one at a time, following the rule that each row, column, and diagonal must add up to the same total (which we'll call S):
|-2 - -|
|- 1 -|
|- - -|
We can't put -3 in the top left corner, since that would leave us with two negative numbers in the top row. Instead, we'll put -3 in the bottom right corner:
|-2 - -|
|- 1 -|
|- -3 -|
Now we need to find a number to put in the top row that will make it add up to S. The sum of the top row so far is -2, and we need it to be S/3, since there are 3 cells in the row. So we need to find a number x that satisfies:
-2 + x = S/3
Multiplying by 3 and adding 2 to both sides, we get:
3x = S + 6
So the number we need to put in the top row is (S+6)/3. We'll call this number y:
|-2 y -|
|- 1 -|
|- -3 -|
Now let's find a number to put in the bottom row. The sum of the bottom row so far is -3, and we need it to be S/3. So we need to find a number z that satisfies:
-3 + z = S/3
Multiplying by 3 and adding 3 to both sides, we get:
3z = S + 9
So the number we need to put in the bottom row is (S+9)/3. We'll call this number w:
|-2 y -|
|- 1 -|
|w -3 z|
Finally, let's find a number to put in the top right corner. The sum of the diagonal from top right to bottom left is -2+1-z, which must be equal to S. So we have:
S = -2 + 1 - z
Simplifying, we get:
S = -1 - z
Since we know that the sum of each row is S, we can add up the numbers in the top row and subtract that from S to get:
S -2 - y = -1 - z
Simplifying, we get:
S = z - y + 1
Now we can substitute in expressions for S, y, and z to get an equation for w:
(z + 6)/3 - 2 - (S+6)/3 = -3(z + 9)/3 + 1
Multiplying by 3 to clear the fractions, we get:
z + 6 - 2(S+6) = -3z - 24 + 3
Simplifying, we get:
2S = 2z - 27
So the value of w must satisfy:
(w + 9)/3 + (S+9)/3 = -3z - 24 + 1
Multiplying by 3 to clear the fractions, we get:
w + 9 + S + 9 = -9z - 69
Substituting in expressions for S and z, we get:
w + 9 + (z - y + 1) + 9 = -9z - 69
Simplifying, we get:
w = -10z - 88
Now we can plug in values for z
The RSM geometry Principal test has 8 true-false questions. In how many ways can a student answer these questions?
Thank you :)
Answer:
256 ways-------------------------
Each question can be answered either true or false, giving two possible choices for each of the 8 questions.
Therefore, the total number of ways to answer the questions is the product of the number of choices for each question, which is:
2⁸ = 256Philip finances a new refrigerator.
The function y = 600 - 75x
represents the remaining balance, y,
of the refrigerator purchase after
x months.
The domain and the range of the function are given as follows:
Domain: 0 ≤ x ≤ 8.Range: 0 ≤ y ≤ 600.What are the domain and range of a function?The domain of a function is the set that contains all possible input values of the function, that is, all the values assumed by the independent variable x in the function.The range of a function is the set that contains all possible output values of the function, that is, all the values assumed by the dependent variable y in the function.The function in this problem is given as follows:
y = 600 - 75x.
The input variable x represents the number of months, which cannot be negative, hence the lower bound of the domain is given as follows:
x = 0.
Meaning that the upper bound of the range is of y = 600.
The balance remaining cannot be negative, hence:
The lower bound of the range is of y = 0.The upper bound of the domain is: 600 - 75x = 0 -> x = 600/75 -> x = 8.Missing InformationThe problem asks for the domain and the range of the function.
More can be learned about domain and range of functions at https://brainly.com/question/26098895
#SPJ1
Jake bought 2 packets of bread for 3 dollars. The cost of each packet of bread is _______ dollars.
Answer:
$1.50
Step-by-step explanation:
3÷2=1.50
find the misding values in the ratio table then write the equivalent ratios forks 16 8 spoons 10, 30
The missing number in the ratios of numbers are 16:10 8:20 and 0:30
How to determine the missing numbers?Ratios are quantitative relationships between two numbers that describe how many times one value can contain another
the given parameters are
Forks 16 8 ----
Spoons 10 --- 30
The numbers are written in ascending order of magnitude
Using AP,
for forks: a = 16, 2nd term = 8
common difference = 8-16 - -8
For spoons a = 10, 3rd term = a + 2d = 30
30 = 10 + 2d
30 -10 = 2d
d= 20/2 = 10
Therefore the 2nd term = 10+10=20
The table reappears as follows
Forks 16 8 0
Spoons 10 20 30
Therefore the equivalent ratios are 16:10 8:20 and 0:30
Learn more about ratios of numbers on https://brainly.com/question/28155993
#SPJ1
In ΔPJK,
help me please on god.
The value of the variable x for the triangle base length is derived as 5.
How to calculate for the variable x of the triangleUsing the proportionality theorem for evaluating x as follows:
JD/DK = PJ/PK
3x/(4x + 1) = 20/28
3x × 28 = 20(4x + 1) {cross multiplication}
84x = 80x + 20
84x - 80x = 20 {collect like terms}
4x = 20
x = 20/4 {divide through by 4}
x = 5
Therefore, the value of the variable x for the triangle base length is derived as 5.
Read more about triangle here:https://brainly.com/question/8160153
#SPJ1
Question 5 (1 point)
What is the difference between the median math test score in the morning and the
afternoon?
The difference between the median test score in the morning and the afternoon is 12.5
Box plot : Determining the median scoreFrom the question, we are to determine the difference between the median test score in the morning and the afternoon.
From the given diagram, we have box plots.
From the given box plots, we will determine the median test score in the morning and the median test score in the afternoon.
The median test score in the morning = 87.5
The median test score in the afternoon = 75
Thus,
The difference between the median test score in the morning and the afternoon =
Median test score in the morning - Median test score in the afternoon
The difference between the median test score in the morning and the afternoon = 87.5 - 75
The difference between the median test score in the morning and the afternoon = 12.5
Hence,
The difference is 12.5
Learn more on Box plot here: https://brainly.com/question/3473797
#SPJ1
At a family reunion, there only blood relatives, consisting of children, parents, and grandparents, in attendance. There were 400 people total. There were twice as many parents as grandparents, and 50 more children than parents. How many children, parents, and Grandparents were in attendance?
Applying the Solution to a 3X3 System
Show up all steps please
Tom purchased a 40 lb bag of dog food knowing that in one pound there at 16 Oz in a scoop how many scoops are in the bag
Answer:
640 Oz
Step-by-step explanation:
1 Lb = 16 Oz
40 Lb • 16 Oz = 640 Oz
hope this helps
Mark brainliest , pls
1 The Associative Property of Multiplication states that the way terms are grouped when multiplied does NOT change which of the following? The product The factors The order The process Skip 0/10 complete
Answer: THE PRODUCT
Step-by-step explanation:
The associative property of multiplication says that the product of three or more numbers remains the same no mater how the numbers are grouped.
example (3x5x2) is the same as ( 5x2x3) both = 30
Last week's and this week's low temperatures are shown in the table below.
Low Temperatures for 5 Days This Week and Last Week
Low Temperatures
This Week (°F)
Low Temperatures
Last Week (°F)
4
10
13 9
6
5
9
6
8 5
Which measures of center or variability are greater than 5 degrees? Select three choices.
O the mean of this week's temperatures
O the mean of last week's temperatures
the range of this week's temperatures
the mean absolute deviation of this week's temperatures
the mean absolute deviation of last week's temperatures
The measures of center or variability are greater than 5 degrees
The the mean of this week's temperatures the mean of last week's temperaturesthe range of this week's temperaturesHow to measure for variablilyThis Week's Mean: (4 + 13 + 6 + 9 + 8) / 5 = 40 / 5 = 8
Last Week's Mean: (10 + 9 + 5 + 6 + 5) / 5 = 35 / 5 = 7
Then the ranges
This Week's Range: (13 - 4) = 9
Last Week's Range: (10 - 5) = 5
The MAD for both weeks
|(4 - 8)| + |(13 - 8)| + |(6 - 8)| + |(9 - 8)| + |(8 - 8)|
= 4 + 5 + 2 + 1 + 0 = 12
This Week's MAD: 12 / 5 = 2.4
|(10 - 7)| + |(9 - 7)| + |(5 - 7)| + |(6 - 7)| + |(5 - 7)| = 3 + 2 + 2 + 1 + 2 = 10
Last Week's MAD: 10 / 5 = 2
Hence the measures of center or variability are greater than 5 degrees are:
The the mean of this week's temperatures the mean of last week's temperaturesthe range of this week's temperaturesRead more on measures of center
https://brainly.com/question/15214370
#SPJ1
Suppose that the functions f and g are defined as follows.
Find f.g and f+ g. Then, give their domains using interval notation.
The composition of f. g derived from the equations in the attached image is: [tex]\frac{1}{10}(2x + 1)[/tex] and f+g as √(4x-1))/(5x²+3)
How to solve compositionComposition is a mathematical operation that combines two functions to form a new function. From our question, we are given two functions f(x) and g(x).
One of their composition can be represented by f(g(x)).f(g(x)) means function out of g(x) will serve as input x for function f(x). In a more simpler words, f(g(x)) is the function obtained by taking the output of g(x) and using it as the input for f(x).
Using the question given as an example,
For f.g:
Firstly, we have to compute the composition of f and g.
This can be expressed as:
f(g(x))f(g(x)) = f(√(4x-1))= 1/[5(√(4x-1))² + 3]= 1/[5(4x-1) + 3]
= 1/(20x + 10)
= [tex]\frac{1}{10}(2x + 1)[/tex]
For f+g:
To find f+g, we will just add the two functions together as below:
f+g = 1/(5x²+3) + √(4x-1)= (√(4x-1) + (5x²+3)
= √(4x-1))/(5x²+3)
So the answers are;
f.g: = [tex]\frac{1}{10}(2x + 1)[/tex]
f+g = √(4x-1))/(5x²+3)
Learn more about composition here:
https://brainly.com/question/30660139
#SPJ1
The fox population in a certain region has a continuous growth rate of 4 percent per year. It is estimated that the population in the year 2000 was 21400.
(a) Find a function that models the population
t
years after 2000 (
t
=
0
for 2000
Answer:
Step-by-step explanation:
Let P(t) be the fox population t years after 2000. We know that the population has a continuous growth rate of 4% per year, which means that the population increases by a factor of 1.04 each year. Therefore, we can model the population as:
P(t) = 21400 * 1.04^t
Here, we start with the population in the year 2000 (21400) and multiply it by 1.04 raised to the power of the number of years after 2000 (t).
For example, if we want to find the population in the year 2015 (15 years after 2000), we can plug t = 15 into the equation:
P(15) = 21400 * 1.04^15
= 21400 * 1.618
= 34694.8
Therefore, we can expect the fox population to be approximately 34,695 in the year 2015.
A water sample shows 0.056 grams of some trace element for every cubic centimeter
of water. Liam uses a container in the shape of a right cylinder with a diameter of 14
em and a height of 13.6 cm to collect a second sample, filling the container all the
way. Assuming the sample contains the same proportion of the trace element,
approximately how much trace element has Liam collected? Round your answer to
the nearest tenth.
what is the perimeter of a rectangle with corners at (-5, 1) ,
(2, 1) , and (2, -3) ?
Answer:
22
Step-by-step explanation:
length is given by (3--1=4)
width is given by (2--5=7)
perimeter is given by:
P=2l + 2w
P=2(4)+2(7)
P=8+14
P=22
Hawa models a can of ground coffee as a right cylinder. She measures its radius as
3/4 in and its volume as 8 cubic inches. Find the height of the can in inches. Round your answer to the nearest tenth if necessary
The height of the can in inches is 44.68 inches
Finding the height of the can in inches.From the question, we have the following parameters that can be used in our computation:
Volume = 8 cubic inches
Radius = 3/4 inches
The volume of a cylinder is calculated as
V = πr²h
substitute the known values in the above equation, so, we have the following representation
π * (3/4)²h = 8
So, we have
h = 8π/[(3/4)²]
Evaluate
h = 44.68
Hence, the height of the can in inches is 44.68 inches
Read more about volume at
https://brainly.com/question/463363
#SPJ1
A rectangular prism measures cm by 12 cm by cm. Calculate the number of cubes with edge length cm that fit in this prism. What is the volume of the prism in ? Show your reasoning. If you are stuck, think about how many cubes with -cm edge lengths fit into .
By calculating the volume of both figures, we will see that 11,160 cubes can be fit in the prism.
Now, So we start with a rectangular prism that measures (7 + 1/2)cm by 12cm by (15 + 1/2) cm.
Hence, The volume is just the product of these 3 values,
so we get:
V = (7 + 1/2)cm × 12cm × (15 + 1/2)cm
V = 1,395 cm³
Now, a cube with an edge length of 1/2 cm has a volume of:
V' = (1/2cm)³
V' = 0.125 cm³
To see how many of the small cubes enter in the prism, we just need to take the quotient between these two volumes, this is:
V/V' = ( 1,395 cm³)/(0.125 cm³) = 11,160
This means that, 11,160 of the cubes can be fit in the prism.
Learn more about volumes, visit:
brainly.com/question/1972490
#SPJ1
complete question is,
A rectangular prism measure 7 1/2 by 12 by 15 1/2
Calculate the number of cubes with edge length 1/2 cm that fit in this prism.
What is the volume of the prism in cm? If you are stuck, think about how many cubes with 1/2-cm edge lengths fit into 1 cm.
A health insurance company advertises on television, on radio, and in the local newspaper. The marketing department has an advertising budget of $46,400 per month. A television ad costs $1000, a radio ad costs $200, and a newspaper ad costs $600. The department wants to run 64 ads per month, and have as many television ads as radio and newspaper ads combined. How many of each type of ad can the department run each month?
The number of each type of ad that the department can run each month are:
TV Ads = 32
Radio Ads = 12
News Ads = 20
How to solve Simultaneous equation word problems?x = number of tv ads
y = number of radio ads
z = number of news ads
Two formulas are indicated.
x + y + z = 64
1000x + 200y + 600z = 46400
they want as many tv ads as radio and news ads combined.
equation for that is x = y + z
since x = y + z, replace x with y + z in both equations to get;
y + z + y + z = 64
1000 * (y + z) + 200 * y + 600 * z = 46400
combine like terms and simplify to get:
2y + 2z = 64
1000y + 1000z + 200y + 600z = 46400
combine like terms again to get:
2y + 2z = 64
1200y + 1600z = 46400
Solving simultaneously gives:
y = 12
z = 20
Thus:
x = 12 + 20
x = 32
Read more about Simultaneous equations at: https://brainly.com/question/148035
#SPJ1
Casey has 5 shirts, 3 skirts, and 2 blazers. Make a tree diagram, of any possible outfits that Casey can make.
The possible outfits that Casey can make is 30 and this is shown in the image that is attached.
What is the outfits about?The tree diagram is known to be one that shows the hierarchical organization of tasks and subtasks that must be done to achieve a goal. The branching diagram start with a single element that divides into two or more, each of which further divides into two or more, and so forth.
Based on the question, Casey has:
5 shirts
3 skirts
2 blazers
Therefore, to make a tree diagram of any possible outfits that Casey can make., there are a total of:
5 x 3 x 2
= 30
So, the possible outfits that Casey can make is 30.
Learn more about outfits from
https://brainly.com/question/788047
#SPJ1
Proba
Find the probability that a randomly
selected point within the circle falls in the
red-shaded square.
7
U
7
7
P = [?]
Enter as a decimal rounded to the nearest hundredth.
Enter
The probability that a randomly
selected point within the circle falls in the
red-shaded square is 63.7%.
How to calculate the probabilityA figure is shown, in which a square is inscribed in a circle. To find the probability that a randomly selected point within the circle falls in the red shaded area (Square).
radius = 7cm
side of square = 7√2 cm
Area of the circle = πr²
= 3.14 * 7²
= 153.86 cm²
Area of the square = side * side
= 7√2 * 7√2
= 98 cm²
= Area of square / Area of the circle
= 98 / 153.86
= 63.7%
Learn more about probability here:
https://brainly.com/question/23808610
#SPJ1
Answer:
63.7
Step-by-step explanation:
I entered that and got it right
what is 2/5 x 1/8 please help
Answer:
1/20
Step-by-step explanation:
To multiply two fractions, you simply multiply their numerators (top numbers) together and multiply their denominators (bottom numbers) together.
So, for 2/5 x 1/8, we have:
(2/5) x (1/8) = (2 x 1) / (5 x 8) = 2/40 = 1/20
Therefore, 2/5 x 1/8 is equal to 1/20.
Multiplying the numerators and denominators directly is the most straightforward method to solve the multiplication of fractions. However, there is another method called cross-multiplication, which you can use to solve this problem as well.
To use cross-multiplication, you multiply the numerator of the first fraction by the denominator of the second fraction, and then multiply the denominator of the first fraction by the numerator of the second fraction.
Then, you simplify the resulting fraction.
So, for 2/5 x 1/8, we have:
(2/5) x (1/8) = (2 x 1) / (5 x 8)
Cross-multiplying, we get:
(2/5) x (1/8) = (2 x 1) / (5 x 8) = (2 x 1) / (5 x 8) = 2/40
Simplifying the fraction 2/40, we can divide both the numerator and denominator by 2, to get:
2/40 = 1/20
Therefore, using cross-multiplication, we get the same answer as before:
2/5 x 1/8 is equal to 1/20.
PLEASE I NEED AN ANSWER QUICKLY
Let c = children's and a = adults.
Mathland Theatre charges $5.00 for children's tickets and $9.00 for adult tickets. One night the theatre sold 290 tickets and took in $2250. How many of each type of ticket were sold?
The number of children ticket sold is 90 while the number of adult ticket sold is 200.
How to find the number of each type of ticket sold?Math land theatre charges $5.00 for children's tickets and $9.00 for adult tickets. One night the theatre sold 290 tickets and took in $2250.
Therefore, let's find the number of each type of ticket sold as follows:
Hence,
Let
c = children's ticketa = adult ticketsTherefore, using equation,
c + a = 290
5c + 9a = 2250
Multiply equation(i) by 5
5c + 5a = 1450
5c + 9a = 2250
subtract the equation
4a = 800
divide both sides by 4
a = 800 / 4
a = 200
Therefore, let's find c
c = 290 - 200
c = 90
Hence,
number of children's ticket = 90
number of adult tickets = 200
learn more on equation here: https://brainly.com/question/19538979
#SPJ1
Data show that men between the ages of 20 and 29 in a general population have a mean height of 69.3 inches, with a standard deviation of 2.6 inches. A baseball analyst wonders whether the standard deviation of heights of major-league baseball players is less than 2.6 inches. The heights (in inches) of 20 randomly selected players are shown in the table.
The hypothesis is
H0: Sd = 2.6Then H1: SD < 2.6What is the null hypothesis?Scientific investigations employ a crucial concept known as the null hypothesis, which asserts that there is no apparent correlation between analyzed data or variables.
The null tells us that the standard deviation is equal to 2.6
What is the alternative hypothesis?Concurrently, an alternate theory sets forth that an effect does indeed exist within the population being investigated. This differentiation allows researchers to draw meaningful conclusions from carefully collected empirical evidence.
H1: SD < 2.6
There is insufficient data to solve for the test stat
Read more on Null hypothesis here:https://brainly.com/question/13045159
#SPJ1
Which angles are congruent to each other? Select all that apply.
Answer:
1,2, and 4
Step-by-step explanation:
vertical angles theorem, which says that the vertical angles that are formed when two lines intersect are congruent.
Solid metal support poles in the form of right cylinders are made out of metal with a density of 5.4 g/cm^3. This metal can be purchased for $0.71 per kilogram. Calculate the cost of a utility pole with a radius of 17.8 cm and a height of 700 cm. Round your answer to the nearest cent. (Note: the diagram is not drawn to scale)
The cost of the utility pole with a radius of 17.8 cm and a height of 700 cm is; $3774.4
How to determine the volume?From the information given, we have the following parameters;
Density = 5.4 g/cm³
Mass = Ikg = 0.71 kg
Cost per mass = $0. 51
Let's determine the volume of this cylinder:
Volume = mass / density
Substitute the values
Volume = 0.71 /5.4
Volume = 0.131 cm³
Thus, 0.131 cm³ costs $0.71
For the utility pole;
Volume = 2 πr²h
Where:
r is 17.8cm
height is 700cm
Volume = 3. 142 × 17.8 × 17.8 × 700
Volume = 696414.32 cm³
If 0.131 cm³ costs $0.71
Then 696414.32 cm³ will cost:
= 696414.32 × 0.71/ 0.131
= 3774.4
Thus, the cost of a utility pole is $3774.4
Learn more about volume here:
brainly.com/question/10373132
#SPJ1
to meet slope constraint rhonda wants to change the height of the zip-line 7 ft and end at a height 9 ft above the ground
Test Rhonda’s claim
All the three locations has been checked below.
Using Pythagoras theorem,
12² = 8² + x²
144 - 64 = x²
x= √80
x=8.9
Now, using Trigonometry
tan F = P/B
tan F= 8/8.9
and, sin F = P/H
sin F= 8/12 = 2/3
and, cos F = B/H
cos F= 12/8.9
Learn more about Trigonometry here:
https://brainly.com/question/29002217
#SPJ1
help please, need this asap
The angles formed by the chords and secants of the circle are;
28) m[tex]\widehat{AB}[/tex] = 60°
29) m[tex]\widehat{GH}[/tex] = 52°
30) m[tex]\widehat{DH}[/tex] = 90°
31) m∠1 = 90°
32) m∠2 = 58°
33) m∠3 = 32°
34) m∠5 = 49°
35) m∠6 = 90°
36) m∠7 = 99°
37) m∠8 = 96°
38) m∠9 = 116°
What is a chord of a circle?A chord is a segment that joins two distinct points on the circumference of a circle.
The angles formed by the arcs in the circle indicates that we get;
28) m[tex]\widehat{AB}[/tex] = 360° - 56° - 18° - 42° - 180° = 60°
29) m[tex]\widehat{GH}[/tex] = 90° - 38° = 52°
30) m[tex]\widehat{DH}[/tex] = 90°
31) m∠1 = 180°/2 = 90°
32) m∠2 = (56° + 18° + 42°)/2 = 58°
33) m∠3 = 90° - 58° = 32°
34) m∠5 = (1/2) × (38° + 18° + 42°) = 49° (Angles of intersecting chords theorem)
35) m∠6 = 90° (Supplementary angle to a right angle is 90 degrees angle is )
36) m∠7 = 180° - 32° - 49° = 99°
37) m∠8 = (1/2) × (52° + 38° + 60° + 42°) = 96°
38) m∠9 = m∠3 + (180° - m∠8) (External angles theorem and linear pair angles)
m∠9 = 32° + (180° - 96°) = 116°
Learn more on the on the intersecting chords theorem here: https://brainly.com/question/13950364
#SPJ1
Questions:
Suppose a team of biologists has been studying a fishing pond. Let x represent the length of a single trout taken at
random from the pond. This group of biologists has determined that x (trout length) has a normal distribution with
mean (mu) 10.5 inches and standard deviation (sigma) 1.2 inches. Use calculator command (normalcdf) to find
your answer. Show your work by writing the command and numbers that you input. Round your answer to 4
decimal places. Circle your final answers.
1. What is the probability that the length of a single trout taken at random from the pond is between 7 and 11
inches long?
2. What is the probability that the mean length of five trout taken at random is between 7 and 11 inches?
1. To find the probability that the length of a single trout taken at random from the pond is between 7 and 11 inches long, we need to use the normalcdf command with the given parameters. The formula for normalcdf is normalcdf(lower bound, upper bound, mean, standard deviation).
Thus, normalcdf(7, 11, 10.5, 1.2) = 0.6827.
Therefore, the probability that the length of a single trout taken at random from the pond is between 7 and 11 inches long is 0.6827.
2. To find the probability that the mean length of five trout taken at random is between 7 and 11 inches, we need to use the central limit theorem, which states that the sample mean will also follow a normal distribution with a mean of the population mean and a standard deviation of the population standard deviation divided by the square root of the sample size (i.e., sigma/sqrt(n)).
Thus, we first need to find the standard deviation of the sample mean, which is sigma/sqrt(n) = 1.2/sqrt(5) = 0.5367.
Then, we can use the normalcdf command with the given parameters. The formula for normalcdf is normalcdf(lower bound, upper bound, mean, standard deviation).
Thus, normalcdf(7, 11, 10.5, 0.5367) = 0.9468.
Therefore, the probability that the mean length of five trout taken at random is between 7 and 11 inches is 0.9468.
A={composite number between 10 and 20} with formula
The composite numbers between 10 and 20 are: 12, 14, 15, 16 and 18 which have more than 2 factors.
To find a composite number, we find the factors of the given number. The best way to determine a composite number is to do a divisibility test. The divisibility test helps us determine if the number is prime or composite. Divisibility means that one number is divided completely (without remainder) by another number.
Help me solve and show my work please
The value of the expression is 0.017455065
What is trigonometrical expression?Identities enable us to simplify complicated expressions. They are the basic tools of trigonometry used in solving trigonometric equations, just as factoring, finding common denominators, and using special formulas are the basic tools of solving algebraic equations.
The given expression is (Tan π/18 + Tan π/9) ÷ (1 - Tan π/1 Tanπ/9)
This gives [Tan (π/18 * π/9) ÷ 1/(Tan(π/18 * π/9)
Simplify further to have
Tanπ²/162 * 162/π²)
This gives Tan1 = 0.017455065
This implies that (Tan π/18 + Tan π/9) ÷ (1 - Tan π/1 Tanπ/9) = 0.017455065
Learn more about trigonometrical ratios on https://brainly.com/question/25122825
#SPJ1
4. Is the bottom shelf parallel to the top shelf? Explain. (2 points)
Answer: Yes
Step-by-step explanation:
Yes because the angles are both 120 degree's
(I'm not sure if this is right but btw I love your pfp :))