Macro bought 175 pens
The number of pens Macro bought can be calculated as follows
let x represent the number of pens bought
let y represent the number of pencils bought
x + y = 300.........equation 1
0.25x + 0.15y= 62.50.........equation 2
From equation 1
x + y= 300
x= 300-y
Substitute 300-y for x in equation 2
0.25(300-y) + 0.15y= 62.50
75 - 0.25y + 0.15y= 62.50
75 - 0.1y= 62.50
-0.1y= 62.50-75
0.1y= 12.5
y= 12.5/0.1
y= 125
Substitute 125 for y in equation 1
x + y= 300
x + 125= 300
x= 300-125
x= 175
Hence Marco bought 175 pens
Read more on equation here
https://brainly.com/question/24464054
#SPJ1
find three solutions for the linear equation 4x-3y=1,and plot the solution as points on a coordinate plane
The Three solutions for the linear equation are: (0, -0.333), (1,1) and (3, 3.667).
According to the statement
We have to find that the solution of the linear equation.
So, For this purpose, we know that the
A linear equation is defined as an equation that is written in the form of Ax+By=C.
From the given information:
The three solutions for the linear equation 4x-3y = 1.
Then
The given equation is :
4x-3y = 1
Slope intercept form is
y = 4/3x - 1/3.
Then
For x = 0, we have that
y = 4/3x - 1/3.
y = 4/3(0) - 1/3.
y = - 1/3.
y = -0.334
Then
For x = 1, we have that
y = 4/3x - 1/3.
y = 4/3(1) - 1/3.
y = 3/3.
y = 1.
Then
For x = 3, we have that
y = 4/3x - 1/3.
y = 4/3(3) - 1/3.
y = 11/3.
y = 3.67.
So, The Three solutions for the linear equation are: (0, -0.333), (1,1) and (3, 3.667).
Learn more about linear equation here
https://brainly.com/question/4074386
#SPJ9
Write the relation as a set of ordered pairs.
a.
ordered pairs: {(–3, 3), (0, 0), (2, –2)}
b.
ordered pairs: {(3, –3), (0, 0), (–2, 2)}
c.
ordered pairs: {(3, –3), (0, 0), (2, -2)}
d.
ordered pairs: {(–2, 2), (0, 0), (3, –3)}
The relation can be written as a set of ordered pairs as: a. {(–3, 3), (0, 0), (2, –2)}.
What is a Relation?A relation, in maths, is defined as a relationship between two variables, x and y, which are linked to each other.
How to Write a Relation as a Set of Ordered pairs?The x-value and the y-value of each set of points in a relation is written as (x, y).
Thus, in the given relation that is represented by the graph below, we have the following set of ordered pairs representing each point on the graph: (–3, 3), (0, 0), and (2, –2).
Therefore, the relation can be written as a set of ordered pairs as: a. {(–3, 3), (0, 0), (2, –2)}.
Learn more about relation on:
https://brainly.com/question/1579288
#SPJ1
Help please !! Need it to be a fraction :))
Answer: 1/6
Step-by-step explanation:
Alexandra Efland has a savings account that earns 5.5% interest compounded daily. On May 5, the amount in the account was $28,214.35. How much interest will the money earn in the next 90 days?
Use the formula: where
A = Amount
P = Principal
r = rate
n = number of periods
t = time in years
Group of answer choices
$38.57
$285.71
$385.21
$901.15
The interest earned in next 90 days is $390.6.
What is Compound Interest?The amount of money earned, in compound interest, after t years, is given by:
A= P[tex]( 1+ r/n)^{(nt)}[/tex]
Given:
A = Amount
P = Principal = $28,214.35
r = rate = 0.055
n = number of periods=365
t = time in years=3/12= 1/4
Using compound interest formula
A= P[tex]( 1+ r/n)^{(nt)}[/tex]
A(90)= 28,604.95[tex]( 1 + 0.055/365)^{(365 * 1/4)}[/tex]
A(90)=28241.35 [tex](1.00015)^{(91.25)}[/tex]
A(90)= $28,604.95
So, the interest earned in next 90 days is
=28,604.95 - 28,604.95
= $390.6
Learn more about compound interest here:
https://brainly.com/question/28148801
#SPJ1
What is the slope-intercept for.
slope = 3, y-intercept = 2
holow
Answer:
y = 3x + b
Step-by-step explanation:
slope intercept form is y = mx + b
y - y-coordinate m - slope b - y-intercept
Given the diagram of the right angle below, find the value for x. Enter a number only.
(12x-30)° (3x)°
Answer:
x= 8
Step-by-step explanation:
Sum of the two angles = 90
12x - 30 + 3x = 90
15x -30 = 90
15x = 90 + 30
15x = 120
x = 120/15 = 8
NO LINKS!!
Plot the points and find the perimeter and area of each polygon
Answer:
11. 17.7 units
12. 24.7 units
Step-by-step explanation:
The perimeter of a two-dimensional shape is the distance all the way around the outside.
To find the perimeter of a polygon, sum the lengths of its sides.
Use the distance formula to find the length of each side.
[tex]\boxed{\begin{minipage}{4.7 cm}\underline{Distance Formula}\\\\$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are the two endpoints.\end{minipage}}[/tex]
Question 11Given points:
A = (-2, 1)B = (2, 5)C = (5, 1)Use the distance formula to find the length of each side of ABC:
[tex]\begin{aligned}AB & = \sqrt{(x_B-x_A)^2+(y_B-y_A)^2}\\& = \sqrt{(2-(-2))^2+(5-1)^2}\\& = \sqrt{4^2+4^2}\\& = \sqrt{16+16}\\& = \sqrt{32}\end{aligned}[/tex]
[tex]\begin{aligned}BC & = \sqrt{(x_C-x_B)^2+(y_C-y_B)^2}\\& = \sqrt{(5-2)^2+(1-5)^2}\\& = \sqrt{3^2+(-4)^2}\\& = \sqrt{9+16}\\& = \sqrt{25}\\& = 5\end{aligned}[/tex]
[tex]\begin{aligned}AC & = \sqrt{(x_C-x_A)^2+(y_C-y_A)^2}\\& = \sqrt{(5-(-2))^2+(1-1)^2}\\ & = \sqrt{7^2+0^2}\\ & = \sqrt{49}\\ & = 7\end{aligned}[/tex]
To find the perimeter, sum the sides:
[tex]\begin{aligned}\sf Perimeter & = AB+BC+AC\\& = \sqrt{32}+5+7\\& = 4\sqrt{2}+12\\& = 17.7\;\sf units\;(nearest\:tenth)\end{aligned}[/tex]
Question 12Given points:
A = (-3, 5)B = (1, 6)C = (3, -2)D = (-1, -3)After plotting the given points, it is clear that the polygon is a parallelogram. As the opposite sides of a parallelogram are equal in length:
AB = DCBC = ADTherefore, we only need to find the length of two sides to calculate the perimeter.
Use the distance formula to find AB and BC:
[tex]\begin{aligned}AB & = \sqrt{(1-(-3))^2+(6-5)^2}\\& = \sqrt{4^2+1^2}\\& = \sqrt{16+1}\\& = \sqrt{17}\end{aligned}[/tex]
[tex]\begin{aligned}BC & = \sqrt{(3-1)^2+(-2-6)^2}\\& = \sqrt{2^2+(-8)^2}\\& = \sqrt{4+64}\\& = \sqrt{68}\end{aligned}[/tex]
Therefore, the perimeter of ABCD is:
[tex]\begin{aligned}\sf Perimeter & = 2(AB+BC)\\& = 2(\sqrt{17}+\sqrt{68})\\& = 6\sqrt{17}\\& =24.7\;\sf units\;(nearest\:tenth)\end{aligned}[/tex]
If pentagon jklmn is similiar to vexyz what is angle
X
The measurement of the angle X is 60 degrees.
Angles L and X are the highest angles according to the diagram. They line up to have an angle of L = X = 60 degrees.
However, because the figures in a diagram could be oddly arranged, you shouldn't rely exclusively on it. A more effective strategy is to consider the letter combinations JKLMN and VWXYZ.
Observe how the third letters of JKLMN and VWXYZ, respectively, are L and X. This indicates that the letters are congruent angles and couple up (since the polygons are similar). Thus, this is a non-visual method of understanding how angle L = angle X = 60.
Learn more about angles here :
https://brainly.com/question/28451077
#SPJ9
Name the plane that is highlighted in the diagram below.
Answer:
Rectangular Cross Section Surface
Determine if the expression
y
3
10
10
y
3
is a polynomial or not. If it is a polynomial, state the type and degree of the polynomial.
The expression y3¹⁰ - 10y³ is a binomial polynomial.
What are Polynomials?Polynomials are sums of k-xⁿ terms, where k can be any number and n can be any positive integer. 3x+2x-5, for example, is a polynomial. A binomial is a two-term polynomial. For instance, x²ˣ-2ˣ² and x⁶ˣ-6ˣ⁶ are both binomials.In the given situation y3¹⁰ - 10y³ is a binomial polynomial as there are two terms in the expression.
Therefore, the expression y3¹⁰ - 10y³ is a binomial polynomial.
Know more about Polynomials here:
https://brainly.com/question/2833285
#SPJ1
If the per capita growth rate of the world population continues to be what it was in the year 2016, the world population t years after July 1, 2016, will be
7.4 ✕ 1.011t billion.
According to this formula, when will the world population reach 8 billion?
2019
2022
2023
2026
According to this formula, the time when the world population reach 8 billion is D. 2026.
How to illustrate the information?From the information given, the capita growth rate of the world population continues to be what it was in the year 2016, the world population t years after July 1, 2016, will be 7.4 ✕ 1.011t billion.
Therefore, the year when the world population reach 8 billion will be:
80 billion = 7.4 × 1.011t billion
1.011t = 80/7.4
1.011t = 10.8
t = 10.8/1.011
t = 10
Therefore, the number of years will be added. This will be:
= 2016 + 10
= 2026
Learn more about population on:
brainly.com/question/25896797
#SPJ1
Math question please help
Answer: The answer for 9 is 50 miles per hour and the one who drove farthest is is ben because at 5 hours he drove already 250 miles. And for number 9 according to the table she is driving 15 miles per hour because on the bottom it always adds up by 15 miles.
Step-by-step explanation: So first to figure out 9 I used y2-y1/x2-x1 to figure out the rate of change and got 50 miles per hour and the point I used were (5,100) and (5,250). Then According to Ben's graph it shows that he drove 250 miles at 5 hours while sally was at 100 miles for 5 hours. So Ben drove the farthest. Then finally for number 9 I concluded that sally is driving 15 miles per hour because distance always adds up by 15 miles.
Hope this Helps :D
what is the value of g(4)
The value of g(4) is 7 when given function is g(x)= 4x-9 .
By considering the given function
g(x)= 4x-9
g(4)=4(4)-9
g(4)=16-9
g(4)=7
A function in mathematics that goes from a set X to a set Y assigns exactly one element of Y to each element of X. The sets X and Y are referred to as the function's domain and codomain, respectively.
a mathematical expression, rule, or law that establishes the relationship between an independent variable and a dependent variable (the dependent variable). Functions are everywhere in mathematics, and they are essential for constructing physical relationships in the sciences.
Learn more about functions here
https://brainly.com/question/25638609
#SPJ9
Which two charges have a sum of 0? (1 point) a +7 charge and +7 charge b −7 charge and −7 charge c +7 charge and −7 charge d +7 charge and 0 charge
The charges which sum up to 0 are +7 charge and −7 charge.
What are integers?An integer is the number zero, a positive natural number or a negative integer with a minus sign. The negative numbers are the additive inverses of the corresponding positive numbers.
Given:
two charges have a sum of 0
So, taking one by one the pairs of option are
+7 charge and +7 charge
=+ 14 charge
−7 charge and −7 charge
=-14 charge
−7 charge d +7 charge
=0 charge
Learn more about integers here:
https://brainly.com/question/18411340
#SPJ1
No
You buy 3 device trackers and a wireless charger. You use a coupon for 15% off your total purchase. You pay a
total of $45.22 after using the coupon. The original price of the charger is $15.64. What is the original price of
one device tracker?
The 3 device trackers and wireless charger purchased at $45.22 using a 15% discount coupon gives the price of one device tracker as $12.52
How can the given information be expressed as an equation?Number of device trackers = 3
The discount given by the coupon = 15% off the total purchase
Amount paid after using the coupon.= $45.22
Original price of the charger = $15.64
Let x represent the price of one device tracker, we have the following equation;
(1 - 0.15)×(3•x + 15.64) = 45.23
Which gives;
x = ((45.22/(1 - 0.15)) - 15.64)/3 = 12.52
The original price of one tracker, x = $12.52Learn more about solving word problems using equations here:
https://brainly.com/question/13818690
#SPJ1
A company is considering a new product launch. There is a 0.6 chance that demand for the product will be strong and a 0.4 chance that demand will be weak. Two strategies for the launch are possible: 1 has high promotion costs and a net cash outflow of K120 000 if demand proves to be strong, and if demand proves weak a net cash outflow of (K30 000) will result. Strategy 2 has low promotion costs and if demand is strong will generate a cash inflow of only K80 000 but with weak demand a net cash inflow of K20 000.
i. Draw a decision tree and advise which course of action generates the greatest expected profit.
ii. What is the maximum amount that should be paid for market research to determine with certainty whether demand will be strong or weak?
Strategy 2 will generate higher expected profit and the company should invest k 8000 for market research to determine with certainty whether demand will be strong or weak.
→Strong demand (P= 0.6) k12000 outflow
→|
→Weak demand (P=0.4) k30000 outflow
New product launch ║
→Strong demand (P= 0.6) k80000 outflow
→|
→Weak demand (P=0.4) k20000 outflow
Expected market value in strategy 1 is
= - 120000 x 0.6 + (-30000) x 0.4
= -k 84000
Expected market value in strategy 2 is
= - 80000 x 0.6 + 20000) x 0.4
= k 56000
Therefore strategy 2 will generate higher expected profit
In strategy 2
Expected value in strong demand is 80000 x 0.6 = k 48000
Expected value of weak demand is 20000 x 0.4 = k 8000
Thus the company should invest k 8000 for market research to determine with certainty whether demand will be strong or weak
To learn more about decision tree refer here
https://brainly.com/question/26675617
#SPJ9
1. Simon sold candles to raise money for the school dance. He raised a total of
$25 for selling 10 candles. Find the unit rate (amount earned per candle).
Use the diagram to find the angle measures that satisfy each case. Find the measures of all 4 angles if m<2-m<1=30 degrees
The measures of the angles are <1 = 85, <2 = 105, <3 = 85 and <4 = 105
How to use the diagram to find the angle measures that satisfy each case?The diagram that completes the question is added as an attachment
From the diagram, we have
<1 + <2 = 180 degrees --- supplementary angles
Given that
<2 - <1 = 30 degrees
Add the above equations
So, we have
2<2 = 210
Divide both sides by 2
<2 = 105
Substitute <2 = 105 in <2 - <1 = 30
So, we have
105 - <1 = 30
Evaluate
<1 = 85
Also, we have
<3 = <1
<4 = <2
This means that
<3 = 85
<4 = 105
Hence, the measures of the angles are <1 = 85, <2 = 105, <3 = 85 and <4 = 105
Read more about angles at
https://brainly.com/question/7620723
#SPJ1
power series interval of convergence (x+3)^n/(n) n is equal to 1
Answer:
Step-by-step explanation:
beep boop beep bap bap slat twan
answer it yo self
help please thank you
The scale factor of the graph image shown is 1.5, using the letters with prime as the original image
How to get the scale factorScale factors are used to increase or decrease image. The situation of increment is usually called magnifying.
For the given graph the values with prime is assumed to be the the original shape while the the values without prime represent the factored image.
Taking a point of reference say s' and s. The coordinates of s' and the coordinates of s are ( 2, 4 ) ( 3, 6 ) respectively.
solving for the factor, assuming the factor is k
x axis
2k = 3
k = 3/2 = 1.5
y axis
4k = 6
k = 6/4 = 1.5
This factor works for other coordinates hence we say that the scale factor is 1.5
Read more on scale factor here: https://brainly.com/question/8159270
#SPJ1
The pay rate and hours worked are given below. Use this information to determine the following. Make sure to include decimals and appropriate zeros.
the gross pay
federal tax (assuming 20% of gross earnings)
state tax (assuming 6% of gross earnings)
social security deductions (assuming 7.05% of gross earnings)
group health insurance (assuming 13% of gross earnings)
pension deduction (assuming 6.5% of gross earnings)
total deductions
net pay
Earnings
Description Rate Hours Current
Regular 9.00 39.0
351.00
The net pay of the individual after having deducted total deductions is $166.54
How do we determine the amount of each deduction?
The amount of each deduction is based on the gross pay of $351.00, as a result, we simply multiply the percentage of deduction by the gross pay to determine the dollar amount of each deduction.
the gross pay=$351
federal tax (assuming 20% of gross earnings)=$351*20%=$70.20
state tax (assuming 6% of gross earnings)=$351*6%=$21.06
social security deductions (assuming 7.05% of gross earnings)=$351*7.05%=$24.75
group health insurance (assuming 13% of gross earnings)=$351*13%=$45.63
pension deduction (assuming 6.5% of gross earnings)=$351*6.5%=$22.82
total deductions=$70.20+$21.06+$24.75+$45.63+$22.82
total deductions=$184.46
net pay=$351-$184.46
net pay=$166.54
Find out more about deductions on:brainly.com/question/6778037
#SPJ1
write all the numbers less than 100 which are common multiples of 3 and 4
Answer:
12, 24, 36, 48, 60, 72, 84, 96
Step-by-step explanation:
The smallest natural number that is a common multiple of 3 and 4 is 12. The answer is all multiples of 12 less than 100.
Answer: 12, 24, 36, 48, 60, 72, 84, 96
0.25(x+10) = 2+0.5(x-1)
Step-by-step explanation:
0.25(x+10) = 2+0.5(x-1)
0.25 * x + 0.25 * 10 = 2.05 * x - 2.05 * 1
0.25x + 2.5 = 2.05x - 2.05
0.25x - 2.05x = -2.05 - 2.5
-1.8x = - 4.55
x = -4.55/-1.8
x = 2.53777777778
What are the coordinates of D, E, and F after a reflection over the y axis? Plot these points on the grid, and label them D′, E′ and F′.
The Coordinates of the point D will be (-3, 3) and point E will be (0, 5) and point F will be (2, -2).
According to the statement
We have to find that the points of the coordinates.
So, For this purpose, we know that the
Coordinates are a set of values which helps to show the exact position of a point in the coordinate plane.
From the given information:
the coordinates of D, E, and F after a reflection over the y axis? Plot these points on the grid, and label them D′, E′ and F′.
Then
Coordinates of a point is given by (x,y)
And
Here, x represents the horizontal distance of the point from origin (0,0) and y represents the vertical distance of the point from origin.
Let's take an example of point D,
Horizontal distance of point D from origin x =-3 and vertical distance from origin y =3.
Then
Coordinates of the point D will be (-3, 3).
Coordinates of the point F will be (2, -2).
Coordinates of the point E will be (0, 5).
For more details please see the image below.
So, The Coordinates of the point D will be (-3, 3) and point E will be (0, 5) and point F will be (2, -2).
Learn more about Coordinates here
https://brainly.com/question/17206319
#SPJ9
How long will it take money to double if it is invested at the following rates?
(A) 6% compounded monthly
(B) 10.2% compounded monthly
(A) years
(Round to two decimal places as needed.)
(B) years
(Round to two decimal places as needed.)
Answer:
11.58 years
6.82 years
Step-by-step explanation:
Compound interest can be represented as: [tex]A=P(1+\frac{r}{n})^{nt}[/tex] where P = initial amount, r=interest rate, n=compounds in each time unit, t = time (usually years)
If you think about it the: [tex](1+\frac{r}{n}})^{nt}[/tex] represents the overall interest being applied to the principal amount.
This would have to be equal to 2, for it to be doubled, so let's set that equal to 2
[tex]2=(1+\frac{r}{n})^{nt}[/tex]
Now let's solve for "t", first let's take the log of both sides
[tex]log(2)=log([1+\frac{r}{n}]^{nt})[/tex]
Now let's use log properties, specifically the exponent one to rewrite
[tex]log(2)=nt *log(1+\frac{r}{n})[/tex]
Now divide both sides by the log(1 + r/n) and n
[tex]t=\frac{log(2)}{n*log(1+\frac{r}{n})}[/tex]
Our "n" is going to be the same for both equations, 12 since it's compounded monthly
The interest will be a bit different, but in the first case it will be 6% which is 0.06
[tex]t=\frac{log(2)}{12*log(1+\frac{0.06}{12})}[/tex]
simplifying this we get
[tex]t\approx11.581[/tex]
Rounding this we get: [tex]t=11.58[/tex]
Now let's do this to the other equation:
[tex]t=\frac{log(2)}{12*log(1+\frac{0.102}{12})}[/tex]
simplifying this we get:
[tex]t\approx 6.824[/tex]
approximately 6.82
The height of a box is 9 inches. The length is three inches more than the width. Find the width of the volume is 1170
The volume of a cuboid or box is the multiplication of length, width, and height by that expression the width of the given cuboid box is 10 inches.
What is volume?Volume is the scalar quantity of any object that specified occupied space in 3D.
For example, the space in our room is referred to as volume.
The volume of cuboid = length × height × width.
Given that,
Height (H) = 9 inches.
The length is three inches more than the width.
So,
L = 3 + W
Now,
Volume of box = 1170 inches³
Now,
The volume of the cuboid is given as
V = L×W×H
1170 = (3 + W) × W×9
W² + 3W - 130 = 0
W² + 13W - 10W - 130 = 0
W(W + 13) - 10(W + 13) = 0
(W + 13)(W - 10) = 0
W = 10,-13 since the length can never be negative so 10 inches will be right.
Hence "The width of the given cuboid box is 10 inches".
To learn more about volume,
https://brainly.com/question/1578538
#SPJ1
Fill in the table for the function.
The table of the function y = (1/2)x + 3 is when (x = 4, y = 5), (x = 6, y = 6),
( x = 9, y = 15/2), ( x = 11, y = 17/3).
What is an expression?An expression represents that two different forms of numerical and variables are the same.
Given an expression y = (1/2)x + 3 we have to determine the range of this function corresponding to the domain { 4, 6, 9, 11 }.
For x = 4,
y = (1/2).4 + 3.
y = 2 + 3.
y = 5.
For x = 6,
y = (1/2).6 + 3.
y = 3 + 3.
y = 6.
For x = 9,
y = (1/2).9 + 3.
y = 9/2 + 3.
y = 15/2.
For x = 11,
y = (1/2).11 + 3.
y = 11/2 + 3.
y = 17/3.
learn more about expression here :
https://brainly.com/question/16804733
#SPJ1
please help !!
I will really appreciate it!
thank youuu
Step-by-step explanation:
f(g(x)) simply means that g(x) is embedded in f(x) as the input value for f(x).
f(g(x)) = 3(7x + 6) - 1 = 21x + 18 - 1 = 21x + 17
c. is the right answer
g(f(x)) is the other way around. f(x) is now the input value for g(x).
g(f(x)) = 7(3x - 1) + 6 = 21x - 7 + 6 = 21x - 1
a. is the right answer
Please Help!!!
Indicate the equation of the given line in standard form.
The line that is perpendicular bisector of the segment whose endpoints are R(-1, 6) and S(5, 5)
The equation of the line in standard form is 12x-2y=13.
Given that line that is the perpendicular bisector of the segment whose endpoints are R(-1, 6) and S(5, 5).
R≡(-1,6) and S≡(5,5)
The perpendicular bisector of the line segment joining R and S will pass through the midpoint M.
coordinate of M is =((-1+5)/2,(6+5)/2)
coordinate of M is=(2,11/2)
Slope of the line joining R and S is
m₁=(6-5)/(-1-5)
m₁=-1/6
We know that for two perpendicular lines having slope m₁ and m₂,
m₁m₂=-1
Here, m₁=-1/6
Let m₂ be the slope of the perpendicular bisector
(-1/6)m₂=-1
m₂=6
Equation of the perpendicular bisector will be,
(y-yₙ)/(x-xₙ)=m₂ [(xₙ,yₙ) is the coordinate of M]
(y-11/2)/(x-2)=6
(2y-11)/2=6(x-2)
2y-11=12x-24
12x-2y=13
Hence, the equation of the given line in standard form when ine that is perpendicular bisector of the segment whose endpoints are R(-1, 6) and S(5, 5) is 12x-2y=13.
Learn more about the equation of line from here brainly.com/question/22443778
#SPJ9
Find a in degrees.
Round to the nearest hundredth.
Answer:
53.13
Step-by-step explanation:
[tex]\tan \alpha=\frac{8}{6} \\ \\ \alpha=\arctan(8/6) \\ \\ \approx 53.13^{\circ}[/tex]
Answer:
53.13
Step-by-step explanation:
correct