The mean is approximately 9, the median is 9, the mode is 8, and the range is 7.
To find the mean, we add up all the numbers in the data set and divide by the total number of numbers:
Mean = (7 + 6 + 8 + 12 + 9 + 13 + 8) / 7 = 63 / 7 ≈ 9
So the mean is approximately 9.
To find the median, we need to arrange the numbers in order from smallest to largest:
6, 7, 8, 8, 9, 12, 13
Since there are an odd number of values in the data set, the median is the middle value, which is 9.
To find the mode, we need to look for the value that occurs most frequently in the data set. In this case, 8 occurs twice, which is more than any other value, so the mode is 8.
To find the range, we need to subtract the smallest value from the largest value:
Range = largest value - smallest value = 13 - 6 = 7
To learn more about median here:
https://brainly.com/question/28060453
#SPJ1
Stephan has a box in the shape of a hexagonal prism where the hexagonal bases are regular. A net of the box is below.
In the hexagon diagram, all the sides are drawn with a rectangle on every side and each is added and another hexagon is added to a rectangle.
Note: Figure is not drawn to scale.
He measured the height of the box to be 7 in. Then, Stephan drew a line from the center of one of the hexagons to each of its vertices and noticed that all the triangles he created have a height of 9 in and a base of 10 in.
The geometry of the hexagon is equally divided into six parts of the triangles are shaded inside. The top side is marked as 10 inches, and the length of the triangle is 9 inches.
Note: Figure is not drawn to scale.
What is the surface area of the hexagonal prism?
A.
750 sq in
B.
690 sq in
C.
960 sq in
D.
1,380 sq in
The answer is 960in² (Option C) This is a geometry prompt involving hexagonal shape.
What is the rationale for this?Since there are 6 congruent triangles, you find the area of 1 of the triangles and multiply by 6
Area of 1 triangle:
1/2bh = 1/2 (9 in) (10 in)
=1/2 (90 sq in.)
= 45 sq in.
Area of 1 hexagon is 6 (45 sq. in) = 270 sq. in.
There are 2 hexagons in the net, so multiply by 2
Area of 2 hexagons is...
2 (270 sq. in) = 540 sq. in.
Then find the area of the rectangular sides...which will be the 6 small squares shown on the first picture
**the rectangles each have 1 side that is equal to 1 side of the hexagon and 1 side is equal to the height of the prism.
Area of 1 rectangle side
lw = (10 in) (7in.)
= 70 sq. in.
multiply all of the 6 sides of the area
=6 (70 sq.in)
=420 sq. in
Then add the area of the 2 hexagons to the area of the 6 rectangular sides
Total area = 540sq. in + 420sq. in
= 960sq. in.
Learn more about hexagonal shape:
https://brainly.com/question/19642468
#SPJ1
3. When kx³ + x² - 5x -5 is divided by x + 1, its remainder is 0. Hence, the value of k is?
Answer:
k = 1
Step-by-step explanation:
given a polynomial f(x) divided by (x + h) with a remainder of 0 , then (x + h) is a factor of f(x) and f(- h) = 0
here the polynomial is divided by (x + 1)
then substitute x = - 1 into the polynomial and equate to zero
k(- 1)³ + (- 1)² - 5(- 1) - 5 = 0
- k + 1 + 5 - 5 = 0
- k + 1 = 0 ( subtract 1 from both sides )
- k = - 1 ( multiply both sides by - 1 )
k = 1
Can someone help me out these in order please
To find the circumscribed side of a triangle, the steps to follow are:
1. Construct the perpendicular bisector of one of the sides of the triangle.
2. Construct the perpendicular bisector of the second side of the triangle.
3. Identify the point of intersection for the two perpendicular bisectors. This is the circumcenter of the triangle and the center of the circumscribed triangle.
4. Construct a circle that has a radius that is the length from the circumcenter to one of the vertices of the triangle.
What is the circumscription of a triangle?A circumscribed triangle is one in which a circle is drawn in the center of the triangle and the circle goes round while touching only three vertices of the triangle.
To draw the circumscribed side of a triangle, you can start by constructing the perpendicular bisector of one of the sides and then the second side. Next, identify the point of intersection, and finally construct the circle.
Learn more about circumscription here:
https://brainly.com/question/9284316
#SPJ1
Find the length of the radius r
Answer:
[tex]r = \sqrt{ {8.6}^{2} - {5}^{2} } [/tex]
[tex]r = \sqrt{73.96 - 25} = \sqrt{48.96} = 6.997[/tex]
The closest answer is b.
Which expression represents twice the sum of a number and six
Answer:
2(x + 6)
Step-by-step explanation:
If we let the number be "x", then the sum of the number and six is x + 6. To find twice the sum, we multiply this expression by 2:
2(x + 6)
Therefore, the expression that represents twice the sum of a number and six is 2(x + 6)
Complete the equation describing how x
and y are related.
X
-3
-2
-1
0
1
2
Y
24
16
8
0
-8
-16
y = [? ]x
Enter the answer that
belongs in [?].
A linear equation that describe how x and y are related include the following: A. y = -8x.
What is a proportional relationship?In Mathematics and Geometry, a proportional relationship refers to a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical equation:
y = kx
Where:
y represents the x-variable.x represents the y-variable.k is the constant of proportionality.Next, we would determine the constant of proportionality (k) by using various data points as follows:
Constant of proportionality, k = y/x
Constant of proportionality, k = 24/-3 = 16/-2 = 8/-1 = -8/1 = -16/2
Constant of proportionality, k = -8.
Therefore, the required linear equation is given by;
y = kx
y = -8x
Read more on proportional relationship here: brainly.com/question/28350476
#SPJ1
1. How many hours and minutes elapsed from 12:00 noon to 4:59 p.m.?
2. How many hours and minutes elapsed from 1:23 a.m. to 7:35 a.m.?
3. How many hours and minutes elapsed from 11:28 p.m. to 5:30 a.m.?
1) Total time elapsed = 4 hours 59 minutes.
2) Total time elapsed = 6 hours 12 minutes
3) Total time elapsed = 6 hours 2 minutes
1) Time difference from 12:00 noon to 4:00 p.m = 4 hours
Time difference from 4:00 p.m to 4:59 p.m. = 59 minutes
So, the total time elapsed = 4 hours 59 minutes.
2) The time difference from 1:23 a.m. to 2:00 a.m. = 37 minutes
The time difference from 2:00 a.m to 7:00 a.m. = 5 hours
The time difference from 7:00 a.m. to 7:35 a.m. = 35 minutes
Here, the minutes elasped = 37 + 35
= 72 minutes
= 1 hour 12 minutes
So, So, the total hours elapsed = 5 + 1
= 6 hours
Thus, the total time elapsed = 6 hours 12 minutes
3) Time difference from 11:28 p.m. to 12:00 midnight = 32 minutes
Time difference from 12:00 midnight to 5:30 a.m. = 5 hours 30 minutes
Here, the minutes elasped = 32 + 30
= 62 minutes
= 1 hour 2 minutes
So, the total time elapsed = 6 hours 2 minutes
Learn more about the time here:
https://brainly.com/question/1149934
#SPJ1
A=(sin x.secx)² - (tan x.cosec.x)² B=2-2 cos² x + cos⁴ x - sin⁴ x için 2A+3B toplamını ayrıntılı bir şekilde bulunuz
Öncelikle verilen A ve B ifadelerinin değerlerini hesaplayalım:
A = (sin x . sec x)² - (tan x . cosec x)²
A = (sin x / cos x)² - (sin x / cos x)²
A = sin² x / cos² x - sin² x / cos² x
A = 0
B = 2 - 2cos² x + cos⁴ x - sin⁴ x
B = 2 - 2cos² x + (cos² x)² - (sin² x)²
B = (cos² x)² - 2cos² x + 2
Şimdi 2A + 3B'yi hesaplayalım:
2A + 3B = 2(0) + 3[(cos² x)² - 2cos² x + 2]
2A + 3B = 3cos⁴ x - 6cos² x + 6
Bu şekilde 2A + 3B ifadesinin ayrıntılı hesaplanması tamamlanmış oldu.
You want to determine what percentage of working adults in your neighborhood regularly ride the bus to work. Which sampling method and survey question ar
best?
OA. Wait at the bus stop one morning and ask all working adults, "How many times per week do you ride the bus to work?"
O B. Go to every fifth house and ask the working adults, "How many times per week do you ride the bus to work?"
O C. Leave a note at each house asking working adults to call and answer the question, "Do you ever ride the bus to work?"
OD. Enter the names of all adults in your neighborhood into a computer program to randomly select a sample and ask, "Do you ever ride the bus to work?"
To determine what percentage of working adults in your neighborhood regularly ride the bus to work, the best sampling method and survey question are D. Enter the names of all adults in your neighborhood into a computer program to randomly select a sample and ask, "Do you ever ride the bus to work?"
What is the best sampling method?The best sampling method involves random sampling of the population.
A random sample gives each member of the population an equal chance of being selected as a participant in the survey.
It is also described as a probability sampling method.
Thus, in this instance, the correct option is D.
Learn more about sampling methods at https://brainly.com/question/28292794.
#SPJ1
I am truely not sure how to do
Answer:
[tex]x=4.865[/tex]
Step-by-step explanation:
We know the area of a rectangle to be [tex]base*height[/tex]. In this instance, [tex]base=(2x+10)in[/tex], [tex]height=(3x) in[/tex], and [tex]area=288in^2[/tex]
The next step is to plug these known values into the [tex]area=base*height[/tex] equation. It'll look like this:
[tex]288=(2x+10)*(3x)=6x^2+30x[/tex]
This simplifies to:
[tex]48=x^2+5x[/tex]
Next, we want to rewrite the equation so we can apply the quadratic formula to it. We are going to do this by subtracting 48 from each side. The new equation looks like this:
[tex]x^2+5x-48=0[/tex]
Next, we plug this into the quadratic formula:
[tex]x=\frac{-(5)+\sqrt{5^2-4(1)(-48)} }{2(1)}=4.865[/tex]
[tex]x=\frac{-(5)-\sqrt{5^2-4(1)(-48)} }{2(1)}=-9.865[/tex]
The second value of x is negative, and since a side length cannot be negative this leaves us with just the first answer of [tex]x=4.865[/tex].
Answer:
[tex]\Large \boxed{\boxed{\textsf{$\therefore x=4.87 $ in}}}[/tex]
Step-by-step explanation:
The area of a rectangle is equal to the base × height:
[tex]\large \textsf{$\rm A $ $= (2x+10)\times(3x)$}\\ \\\large \textsf{$\rm \phantom{A}=$ $6x^2+30x$, and since A = 288,}\\ \\\large \textsf{$\therefore 288 = 6x^2+30x$}[/tex]
Rearranging this equation, we get:
[tex]\large \textsf{$6x^2+30x-288=0$}\\\\\large \textsf{$6(x^2+5x-48)=0$}\\\\\large \textsf{$\therefore x^2+5x-48=0$}[/tex]
Here we are left with a quadratic equation, which we can solve using the quadratic formula:
[tex]\Large \boxed{\textsf{$x = \frac{-b\pm \sqrt{b^2-4ac}}{2a}$}} \textsf{ where $ax+bx+c=0$}[/tex]
Plugging values into the formula, we get:
[tex]\Large \textsf{$x = \frac{-(5)\pm \sqrt{(5)^2-4(1)(-48)}}{2(1)}$} \\\\\Large \textsf{$x=4.87, -9.87$,} \large \textsf{ but length cannot be negative.}\\\\\Large \boxed{\boxed{\textsf{$\therefore x=4.87 $ in}}}[/tex]
To learn more about the quadratic formula, and how to derive it:
https://brainly.com/question/22364785
Find the value of x and y variable in the following parallelogram
Answer:
y + 5 = 3y - 1
2y = 6, so y = 3
4x - 2 = x + 10
3x = 12, so x = 4
.HELPPPPPPPPPPPPPPPPP
Answer:
[tex]\textsf{Choice A } \quad y = \dfrac{5}{3}x + 1[/tex]
Step-by-step explanation:
Slope intercept form of a line equation is
y = mx + b
where
m = slope
b = y-intercept
A perpendicular line to y = mx + b will have a slope of -1/m
Let's first find the equation for line z in slope-intercept form
Slope m for a line = (y2- y1)/(x2 - x1) where x1, y1 and x2, y2 are two points on the line
Slope of line z is
[tex]m = \dfrac { 2 - (-1) }{-2 - 3} = \dfrac{3}{-5} = - \dfrac{3}{5}[/tex]
So line z will have an equation of the form
[tex]y = -\dfrac{3}{5}x + b[/tex]
We know that a line perpendicular to this line will have a slope of
[tex]- \dfrac{1}{-\dfrac{3}{5}} = \dfrac{5}{3}[/tex]
So the equation of the perpendicular line is
[tex]y = \dfrac{5}{3}x + b[/tex]
Only one of the 4 choices, name choice A has this slope of 5/3
Therefore the correct answer choice is A
There is no need to compute b, the y intercept but if you wanted to, this is how you would do it:
The perpendicular line passes through (3, 6). This means when x = 3, y =6
Substitute these values of x, y into the equation for the perpendicular line and solve for b
[tex]y = \dfrac{5}{3}x + b\\\\\text{When x = 3, y = 6}:\\\\6 = \dfrac{5}{3} \cdot 3 + b\\\\6 = 5 + b\\\\b = 6 - 5 = 1\\\\\text{So, the equation of the perpendicular line is }\\y = \dfrac{5}{3}x + 1[/tex]
This corresponds to Choice A
Help!!!! Please
Asap
Answer:
events at A and B are independent because P(A)(B)≠P(A)
Offering 100 points to the first correct answer. Need ASAP - Please!!
The lengths of two sides of a triangle are shown.
Side 1: 8x2 − 5x − 2
Side 2: 7x − x2 + 3
The perimeter of the triangle is 4x3 − 3x2 + 2x − 6.
Part A: What is the total length of the two sides, 1 and 2, of the triangle? Show your work. (4 points)
Part B: What is the length of the third side of the triangle? Show your work. (4 points)
Part C: Do the answers for Part A and Part B show that the polynomials are closed under addition and subtraction? Justify your answer. (2 points)
Te polynomials are closed under addition and subtraction
What is the total length of the two sides, 1 and 2, of the triangle?This is calculated as
Length 1 and 2 = 8x^2 − 5x − 2 + 7x − x^2 + 3
Evaluate
Length 1 and 2 = 7x^2 + 2x + 1
What is the length of the third side of the triangle?This is calculated as
Third side = Perimeter - Length 1 and 2
So, we have
Third side = 4x^3 − 3x^2 + 2x − 6 - 7x^2 - 2x - 1
Evaluate
Third side = 4x^3 − 10x^2 − 7
Polynomials are closed under addition and subtraction?Yes, the answers for Part A and Part B show that the polynomials are closed under addition and subtraction
Read more about polynomials at
https://brainly.com/question/30989082
#SPJ1
Out of 50 students taking a midterm psychology exam, 26 answered the first of two bonus questions, 33 answered the second bonus question, and 2 didn't bother with either
Answer:
This has no answer. Whats the question? Please tell me so I can help you
Is it probability ???
If there is a polynomial of a higher degree than a quadratic, it might have more than two solutions. For example, a cubic polynomial could have up to three solutions.
The polynomial equation 20z3−11z2−3z=0 is factorable. Factor the polynomial completely and set each of the factored terms equal to zero, just like you would with a quadratic equation. What are the solutions to the given polynomial equation?
The preceding polynomial equation has three solutions: z = 0, z = 3/4, and z = -1/5.
First, we can factor out a common factor of z:
z(20z² - 11z - 3) = 0
Now we need to factor the quadratic expression in the parentheses.
We can use the quadratic formula or factor by grouping to do this. Factoring by grouping yields:
z(20z² - 11z - 3) = 0
z(4z - 3)(5z + 1) = 0
Setting each of the factored terms equal to zero, we have:
z = 0, 3/4, -1/5
Therefore, the solutions to the given polynomial equation are z = 0, z = 3/4, and z = -1/5.
Learn more about Polynomials here:
https://brainly.com/question/11536910
#SPJ1
please write the answer in minutes.
Thank you.
My life depends on you
Note that the estimated time it will take to cause hearing loss at 106 decibels is 0.0625 hours or 3 minutes, 75 seconds.
How did we arrive at this conclusion?The formula used is:
Exposure Time = 8/ 2^((dBA-85)/3)
Since the decibel (dBA) given is 106
Exposure Time = 8/ 2^((106-85)/3)
= 8/2^1
= 8/ 128
= 0.0625 hours or 3 minutes, 75 seconds.
Learn more about hearing loss;
https://brainly.com/question/18548045
#SPJ1
The sum of two numbers is 54. The smaller number is 14 less than the larger number. What are the numbers?
Larger number:
Smaller number:
Answer:
Large Number = 34 & Smaller Number = 20
Step-by-step explanation:
1. Define Variables
Large Number = n
Smaller Number = s
2. Equations
n + s = 54
n - s = 14
3. Combine the Equations
n + s + n - s = 54 + 14
2n = 68
n = 34
4. Find s
34 + s = 54
s = 20
A hat contains four slips of paper number 125 and six a slip of paper is selected from the hat, and its number is recorded. The papers returns the hat and a second slip of paper is selected and it’s number is recorded
What is the probability distribution for the variable X
The probability distribution for X is given below:
Probability of no even number, (X = 0)= 1/2
Probability of one even number, (X = 1) = 1/2
Probability of two even numbers, (X = 2) = 1/8
What is a probability distribution?The probability distribution for X is found as follows:
The probability that an even number is not selected i.e. X = O
P(X = 0) = (2/4 * 2/4) + (2/4 * 2/4)
P(X = 0) = 1/2
The probability that an even number is selected once i.e. X = 1
P(X = 1) = (2/4 * 2/4) + (2/4 * 2/4)
P(X = 1) = 1/2
The probability that an even number is selected twice i.e. X = 2
P(X = 2) = 2/4 * 2/4
P(X = 2) = 1/8
Learn more about probability distribution at: https://brainly.com/question/30390163
#SPJ1
What is the surface area of the square pyramid?
The surface area of the square pyramid using given dimensions is given by option a. 3,456m².
In the square pyramid,
Using Pythagoras theorem,
Height of the square pyramid is equal to,
In a right angled triangle,
Base = 18m
Hypotenuse = 30m
Height = √ Hypotenuse ² - base ²
Substitute the values we have,
⇒ height = √ 30² - 18²
⇒ height = √576
⇒ height = 24m
Dimensions of square pyramid are,
Base edge 'b' = 36m
height of the pyramid 'h' = 24m
Surface area of square Pyramid = b² + 2b√(b²/4) + h²
Substitute the values we have,
⇒Surface area of square Pyramid
= 36² + 2(36)√((36)²/4) + (24)²
= 1296 + 72√324 + 576
= 1296 + 2160
= 3,456m²
Therefore, the surface area of square Pyramid is equal to option a. 3,456m².
learn more about surface area here
brainly.com/question/18727714
#SPJ1
Please Help!!
we need both the Celsius and Fahrenheit formulas to find any of these two temperature units
Temperature
C=5/9(F-32)
F=9/5 C+32
True or false.
Answer:
the answer is true
finding the inverse of [tex]-(1/2)-log_{3}\sqrt{9-x}[/tex]
The inverse function of the function f(x) is [tex]g(y) = 9 - 3^-^(^y^ + ^1^/^2^)[/tex]
To find the inverse of the given function f(x) = -(1/2) - log₃√(9-x)
we need to solve for x in terms of y, where y = f(x).
Replace f(x) with y
Function y = -(1/2) - log₃√(9-x)
Solve for x
First, isolate the logarithmic term on one side of the equation.
y + (1/2) = -log₃√(9-x)
[tex]3^-^(^y^ +^ 1^/^2^) = 9-x[/tex]
[tex]x = 9 - 3^-^(^y^ + ^1^/^2^)[/tex]
To learn more on Functions click:
https://brainly.com/question/30721594
#SPJ1
Which crime is often alcohol related?
O a. theft
Ob. tax fraud
O c. trespassing
O d. domestic violence
The crime that is often alcohol related is domestic violence. That is option D.
What is domestic violence?Domestic violence is defined as an abusive relationship that exist between two or more individuals that are closely related by blood or marriage.
The causes of domestic violence include the following:
History of violent victimization.Attention deficits, hyperactivity, or learning disorders.History of early aggressive behavior.Involvement with drugs, alcohol, or tobaccoTherefore, alcohol intake can lead to domestic violence because it can cause the abusive partner to have a reduction in cognitive and physical functions that impair self-control, with the consequent effect of reducing the ability to resolve conflicts nonviolently.
Learn more about alcohol here:
https://brainly.com/question/29549236
#SPJ1
A cardboard box manufacturing company is building boxes with length represented by x + 1 width by 5-x and height by x-1
The volume of the cardboard box with given dimensions changes at the fastest average rate over the interval of option c. [1,5].
Length of the cardboard box = x + 1
Width of the cardboard box = 5 - x
Height of the cardboard box = x - 1
Volume of the box V (x) = length × width × height
Substitute the values we have,
V(x) = (x+1)(5-x)(x-1)
Expanding this expression gives,
V(x) = -x³ + 5x² + x - 5
To know where Volume is changing at the fastest average rate,
Find the maximum value of the absolute value of the derivative of V(x) over each of the given intervals.
Taking the derivative of V(x), we get,
V'(x) = -3x²+ 10x + 1
Taking the absolute value of this expression, we get,
|V'(x)| = 3x² - 10x - 1
Now, we can calculate the maximum value of |V'(x)| over each interval,
At [1,2]
|V'(1)| = 8
|V'(2)| = 9
[1,3.5]
|V'(1)| = 8
|V'(3.5)| = 0.75
[1,5]
|V'(1)| = 1
|V'(5)| = 24
[0,3.5]
|V'(0)| = 1
|V'(3.5)| = 0.75
The maximum value of |V'(x)| occurs on interval [1,5].
Therefore, the volume of the box is changing at the fastest average rate over the interval option c . [1,5].
Learn more about volume here
brainly.com/question/24054433
#SPJ1
The above question is incomplete, the complete question is:
A cardboard box manufacturing company is building boxes with length represented by x + 1, width by 5 − x, and height by x − 1. the volume of the box is modeled by the function below. over which interval is the volume of the box changing at the fastest average rate?
a. [1,2]
b. [1,3.5]
c. [1,5]
d. [0,3.5]
The graph of a linear function is given below. What is the zero or the function
Answer: -2
Step-by-step explanation:
You can see it clearly passes through an origin consisting of -2
Answer:
Step-by-step explanation:
A -5
A parachutist's rate during a free fall reaches 165 feet per second. What is this rate in meters per second? At this rate, how many meters will the parachutist fall during 5 seconds of free fall? In your computations, assume that 1 meter is equal to 3.3 feet. Do not round your answers.
Rate: m/s
Distance fallen in 5 seconds: m
In 5 seconds of free fall at a speed of 165 feet per second, the parachute user will drop around 122.5 meters.
To convert feet per second (ft/s) to meters per second (m/s), we can use the following conversion factor:
1 m/s = 3.3 ft/s
Therefore, the parachutist's rate of 165 ft/s is equivalent to:
165 ft/s × (1 m/3.3 ft) = 50 m/s
Next, we can use the kinematic equation:
d = 1/2 * a * t²
Here d is the distance traveled (in meters), a is the acceleration due to gravity (9.8 m/s²), and t is the time (in seconds).
For 5 seconds of free fall, we have:
d = 1/2 * 9.8 m/s² * (5 s)² = 122.5 m
Therefore, the parachutist will fall approximately 122.5 meters during 5 seconds of free fall at a rate of 165 ft/s.
Learn more about the average rate of change here:
https://brainly.com/question/28744270
#SPJ1
Choosing from the binomial factors shown below, write the equation of the parabola to the left in factored form. (please help)
The equation of the parabola to the left in factored form is y = (x - 2)(x - 7).
What is the general form of a quadratic function?In Mathematics and Geometry, the general form of a quadratic function can be modeled and represented by using the following quadratic equation;
y = ax² + bx + c
Where:
a and b represents the coefficients of the first and second term in the quadratic function.c represents the constant term.Next, we would solve the quadratic function by using the factors (zeros or roots) provided as follows;
y = (x - 2)(x - 7)
Read more on quadratic functions here: brainly.com/question/29499209
#SPJ1
The eSports team contains 9 boys and 5 girls. what is the ratio of girls to boys?
Answer: 5:9
Step-by-step explanation:
Hope this helps! :)
In ABC, AB = 24.1, AC = 15.7, and BC = 25.3. What is LA?
The measure of angle A in triangle ABC is approximately 113.8 degrees.
To find the measure of angle A (LA) in triangle ABC, we can use the Law of Cosines:
c² = a² + b² - 2ab*cos(C)
where c is the length of the side opposite to angle C, and a and b are the lengths of the other two sides.
In this case, we want to find LA, which is opposite to side a (BC). So we can rewrite the Law of Cosines as:
cos(A) = (b² + c² - a²) / 2bc
Plugging in the values we have:
cos(A) = (24.1² + 15.7² - 25.3²) / (2 * 24.1 * 15.7)
cos(A) = -0.3694
Now we need to find the inverse cosine (cos⁻¹) of -0.3694 to get the measure of angle A:
A = cos⁻¹(-0.3694)
Using a calculator, we get:
A ≈ 113.8 degrees
To learn more about angle here:
https://brainly.com/question/28451077
#SPJ1
Mia hired a moving company. The company charged $500 or its services, and Mia gives the movers a 16% tip.
Answer:
The company charged $500 for its services,and Mia gives the movers a 16% tip. Now, we can add the tip amount to the cost of the service to find the total amount Mia paid: Total amount = Cost of service + Tip amount = $500 + $80 = $580
Step-by-step explanation:
