Answer:
sin = -√3/2cos = -1/2tan = √3sec = -2csc = (-2/3)√3cot = (√3)/3Step-by-step explanation:
See the attached picture for a drawing of the angle and its terminal point coordinates. Those are (cos(4π/3), sin(4π/3)), so we have the following trig function values:
sin(4π/3) = -√3/2
cos(4π/3) = -1/2
tan(4π/3) = sin/cos = √3
sec(4π/3) = 1/cos = -2
csc(4π/3) = 1/sin = -(2√3)/3
cot(4π/3) = 1/tan = (√3)/3
_____
Additional comment
It helps to know that 1/√a = (√a)/a. This lets you write the ratios with a rational denominator in each case.
What is 69% of 35? Round to one decimal place.
Hi there!
Multiply 69 with 0.01...
\(69\)·\(0.01=0.69\)
Multiply 0.69 with 35...
\(0.69\)·\(35=24.15\)
Convert 24.15 into 24 since it’s telling us to round to one decimal place...
Final Result: 24
A customer buys a different DVD that has an original selling price of $28. The DVD is discounted by 15%. The customer must pay a 5% sales tax on the discounted price of the DVD.
What is the total amount, in dollars, the customer pays for the discounted DVD?
answer is 27.2$ of all pay
An interior designer is redecorating a room that is 26 feet long by 18 feet wide by 9 feet high. At one end of the room is a door that is 6 feet 6 inches high and 4 feet wide. One of the walls contains 2 windows, each of which is 2 feet wide by 2 feet 6 inches high.
A: How much will it cost to carpet the floor if the carpet sells for $18.00 a square yard? $
B: How much will it cost to wallpaper all four walls if wallpaper costs $0.75 per square foot? $
C: How much will it cost to paint the ceiling using paint that sells for $25 per gallon if a quart of paint will cover 88 square feet? $
D: What will be the cost of the entire project? $
Answer: A: It will cost $936.00 to carpet the floor.
B: It will cost $297.00 to wallpaper all four walls.
C: It will cost $33.25 to paint the ceiling.
D: The cost of the entire project will be $1266.25.
Step-by-step explanation:
To calculate the costs for carpeting, wallpapering, painting, and the overall cost of the project, we need to determine the areas that need to be covered and the corresponding prices for each material.
Given dimensions:
Room length: 26 feet
Room width: 18 feet
Room height: 9 feet
Door dimensions:
Height: 6 feet 6 inches
Width: 4 feet
Window dimensions (each):
Width: 2 feet
Height: 2 feet 6 inches
A: Carpeting the floor:
To find the area of the floor, we multiply the length and width of the room:
Floor area = Length × Width = 26 feet × 18 feet = 468 square feet.
To convert to square yards (since the carpet is sold per square yard), we divide by 9:
Floor area in square yards = 468 square feet / 9 = 52 square yards.
Cost to carpet the floor = Floor area in square yards × Cost per square yard = 52 square yards × $18.00 = $936.00.
B: Wallpapering the walls:
To find the area of the walls, we calculate the perimeter of the room (2 × (Length + Width)) and multiply it by the height of the room:
Wall area = Perimeter × Height = 2 × (26 feet + 18 feet) × 9 feet = 396 square feet.
Cost to wallpaper the walls = Wall area × Cost per square foot = 396 square feet × $0.75 = $297.00.
C: Painting the ceiling:
To find the area of the ceiling, we multiply the length and width of the room:
Ceiling area = Length × Width = 26 feet × 18 feet = 468 square feet.
Since a quart of paint covers 88 square feet, we need to determine the number of quarts required:
Number of quarts = Ceiling area / Coverage per quart = 468 square feet / 88 square feet = 5.32 quarts.
Since a gallon contains 4 quarts, the number of gallons required is 5.32 quarts / 4 quarts = 1.33 gallons.
Cost to paint the ceiling = Number of gallons × Cost per gallon = 1.33 gallons × $25.00 = $33.25.
D: Cost of the entire project:
Total cost = Cost to carpet the floor + Cost to wallpaper the walls + Cost to paint the ceiling
= $936.00 + $297.00 + $33.25 = $1266.25.
Therefore:
A: It will cost $936.00 to carpet the floor.
B: It will cost $297.00 to wallpaper all four walls.
C: It will cost $33.25 to paint the ceiling.
D: The cost of the entire project will be $1266.25.
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Question 2 of 49
Lines AB and XY are best described as which of the following?
A. Perpendicular rays
B. Perpendicular segments
C. Perpendicular lines
D. Parallel lines
Option (b) is the correct answer: Perpendicular segments.
Perpendicular rays, perpendicular segments, perpendicular lines, and parallel lines are important concepts in geometry that describe the relationship between lines and line segments.
1. Perpendicular Rays: Perpendicular rays are two rays that intersect at point and form a right angle (90 degrees) at the point of intersection. The rays extend indefinitely in opposite directions from the point of intersection.
2. Perpendicular Segments: Perpendicular segments are line segments that intersect at a right angle. They share a common endpoint but do not extend indefinitely like rays. The right angle is formed at the point of intersection.
3. Perpendicular Lines: Perpendicular lines are lines that intersect at a right angle. They continue indefinitely in opposite directions and form four right angles at the point of intersection. Perpendicular lines are often denoted by a symbol ⊥.
4. Parallel Lines: Parallel lines are lines that never intersect. They remain equidistant from each other at all points. Parallel lines have the same slope and do not converge or diverge. In Euclidean geometry, parallel lines are denoted by a double vertical line symbol (||).
Understanding these concepts is fundamental in geometry as they help define angles, shapes, and spatial relationships. The properties of perpendicular and parallel lines play a crucial role in various geometric theorems and applications.
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Sonja is attending a 2-year college, which requires her to complete 60 credit hours to earn her degree. She receives $1,500 per year in financial aid. She has already completed and paid for 9 credit hours during the summer session. If the college charges $173 per credit hour, how many dollars will Sonja have to pay to earn her 2-year degree?
Answer:
Step-by-step 3.6
The bottom of a circular swimming pool with a diameter of
9 meters is painted blue. How many square meters are blue?
Answer: hi
Step-by-step explanation: sorry needed points
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.
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What is the greatest common factor of 8,16,40
Step-by-step explanation:
To find the greatest common factor (GCF) of 8, 16, and 40, we can determine the largest number that evenly divides all three of them.
Let's first find the prime factorization of each number:
- 8 = 2 * 2 * 2
- 16 = 2 * 2 * 2 * 2
- 40 = 2 * 2 * 2 * 5
Now, let's identify the common factors by finding the minimum exponent for each prime factor:
- 2 is a common factor with an exponent of 2 (appearing twice in the prime factorization of 8 and 16).
- 5 is not a common factor since it appears only in the prime factorization of 40.
The GCF is obtained by multiplying the common factors with their respective minimum exponents:
GCF = 2^2 = 4
Therefore, the greatest common factor of 8, 16, and 40 is 4.
The diameter of a cylindrical water tank is 8ft, and its height is 6ft. What is the volume of the tank?
Use the value 3.14 for π, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
If the diameter of a cylindrical water tank is 8ft, and its height is 6ft, the volume of the water tank is approximately 302 cubic feet.
To find the volume of the cylindrical water tank, we need to use the formula V = πr²h, where r is the radius of the base and h is the height of the cylinder. Since we are given the diameter of the tank, which is 8ft, we can find the radius by dividing it by 2. Thus, the radius of the tank is 4ft. The height is given as 6ft.
Substituting these values into the formula, we get:
V = π(4ft)²(6ft)
V = π(16ft²)(6ft)
V = 96π ft³
Now we can approximate this volume by using the value of π as 3.14 and rounding the answer to the nearest whole number.
V ≈ 96(3.14) = 302.4
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What is the area of the shaded region?
Answer:
80 mm²
Step-by-step explanation:
Even for slanted triangles, the area is base x half height! The base is 10 mm, half the height is 8 mm, so the area is 8x10=80 mm.
A container of gas at 29 psi is compressed to
one seventh its original volume. What is the
new pressure of the gas?
Answer in units of psi
Step-by-step explanation:
Since the original volume is 29 and they are looking for 1/7th of that, we can multiply these two numbers
\((29)( \frac{1}{7} ) = 4 \frac{1}{7} psi\)
need help fast, here is screenshot.
Answer:
37y +3?
Step-by-step explanation:
L×B=Area
(7y+1)(2y+3)
According to the given figure ,
Length of rectangle = 7y+1Breadth of the rectangle = 2y+3Formula to find the area of a rectangle is given by -
\( \:\:\:\:\:\:\star\small \underline{ \boxed{ \sf{ \pmb{Area_{(rectangle)} = Length \times Breadth }}}}\\\)
On substituting the values-
\( \:\:\:\:\:\:\longrightarrow \sf { Area_{(rectangle)}= \bigg(7y+1\bigg)\times \bigg(2y+3\bigg)}\\\)
\( \:\:\:\:\:\:\longrightarrow \sf { Area_{(rectangle)} = \bigg ( 14y^2+21y+2y+3\bigg)}\\\)
\( \:\:\:\:\:\:\longrightarrow \sf { Area_{(rectangle)} = 14y^2+23y +3}\\\)
\( \:\:\:\:\:\:\longrightarrow \boxed{ \tt{ \pmb{ \red{Area_{(rectangle)}=\underline{14y^2+23y +3}}}}}\\\)
\( \\ \therefore \underline{ \cal{ \pmb{Correct \:option \: is \: \frak{\purple{ C)\:\underline{14y^2+23y +3 }}. }}}}\\\)
Write an equation that means the same as the words in the photo (I’m not asking for you to solve the equation just to turn the words in the photo into an equation)
Answer:
4x-9
Step-by-step Explanation:
What is 5/8 divided by 1/4?
Answer: 2.5
Step-by-step explanation: If you do 5/8 divided by 1/4 in the calculator it is 2.5.
Ejemplo: catalina compro una piscina para
ponerla en el jardín de su casa.
-Piscina cilíndrica 206cm de diámetro y 60cm
de profundidad además construirá una zona de
cemento y cerco de seguridad alrededor de la
piscina.
¿Cuál es el volumen máximo de agua que
puede contener la piscina? (considere T=3)
¿cuál es la extensión del cerco de seguridad?
(considere П=3)
The length of the fence must be 618cm
The volume that it can hold is 1,909,620 cm³
How to find the volume and the length of the fence?First, the fence is just equal to the circumference of the cylinder, remember that the circumfernce of a circle of diameter D is:
C = П*D
Here we use П = 3, then:
C = П*206cm
C = 3*206cm = 618cm
Now the volume, for a cylinder of diameter D and height H, the volume is:
V = П*(D/2)²*H
Replacing the values that we know we will get:
V = 3*(206cm/2)²*60cm = 1,909,620 cm³
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whats equivalent to 34+16
Answer:
2(17)+8
Step-by-step explanation:
answer: 2(17+8)
explanation: 17+8= 25
25 times 2= 50
34+16=50
:)
Find the value of x
8,
9,
7,
10
The value of x in this problem, considering the intersecting chords, is given as follows:
x = 10.
How to obtain the value of x?A chord of a circle is a straight line segment that connects two points on the circle, that is, it is a line segment whose endpoints are on the circumference of a circle.
When two chords intersect each other, then the products of the measures of the segments of the chords are equal.
Hence the value of x is obtained as follows:
12x = 15 x 8
12x = 120
x = 10.
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A line passes through the point (-8,4) and has a slope of -3/2 .
Write an equation in point-slope form for this line.
Answer:
y - 4 = \(-\frac{3}{2}(x+8)\)
Step-by-step explanation:
Point slope equation of a line passing through (x', y') and slope 'm' is given by,
y - y' = m(x - x')
We have to find the equation of the line which passes through (-8, 4) and slope \((-\frac{3}{2})\),
By substituting these values in the equation,
y - 4 = \(-\frac{3}{2}(x+8)\)
Therefore, point slope form for the given line is,
y - 4 = \(-\frac{3}{2}(x+8)\)
HELP ME please. i dont understand this.
Answer:
Step-by-step explanation:
Perimeter add all the sides.
so let's walk around and combine like terms:
starting on the bottom moving to the left.
3x^2 + x^2= 4x^2 (there are no other squared terms)
back to the bottom moving left again:
-11x-3x+3x+x = -10x (-3x + 3x =0)
so -11x + x = -10x
now add all of the constants
-1 + 2 = 1
so your answer is
4x^2 -10x + 1
If 30% of a number equals 25, find 60% of that number.
Answer:
14.94
Step-by-step explanation:
25/30 = 83.333
.30x83 = 24.9
.60 x 24.9 = 14.94
Answer:50
Step-by-step explanation:
30% to 60% is times 2
So 25 ×2=50
Question 2(Multiple Choice Worth 2 points)
(Rewriting Rational Numbers LC)
Which number gives the exact value of 45?
6
O
4.83
6
29
4.8
hj
The computation shows that the examples of values that will give the exact value of 45 will be:
✓9 × 156 × 9✓25 × ✓81How to compute the value?It should be noted the information is incomplete as the options aren't given and not properly written.
In this case, the examples will be given:
An example of value that will give 45 will be:
= ✓25 × ✓81
= 5 × 9
= 45
The other examples will be 6 × 9 which will give 45 and ✓9 × 15 which will be 45.
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Solve, using linear combination.
3x – y = 4
2x + y = 6
Answer:
Point form: 2.2
Equation form: x=2, y=2
Answer:
3x-y+2x+y =4+6
5x. =10
x =2
y=6-4
y=2
Explain in detail using words the step by step process that Maggie took to solve the problem 6.89 x 10^-4 / 7.5 x 10^-6 = .92 x 10^1
The steps in solving the given expression shows that the result is:
0.92 * 10²
How to use Laws of Exponents?The expression is given as:
6.89 * 10⁻⁴/(7.5 * 10⁻⁶) = 0.92 * 10¹
The steps that Maggie followed are:
Step 1: Rewrite the given expression:
6.89 * 10⁻⁴/(7.5 * 10⁻⁶) = 0.92 * 10¹
Step 2: Divide the coefficients:
The coefficient of the numerator (6.89) is divided by the coefficient of the denominator (7.5) to get:
6.89 / 7.5 = 0.9186667.
Step 3: Divide the powers of 10:
This is done by subtracting the exponent of the denominator 10⁻⁶ from the exponent of the numerator 10⁻⁴ to get: 10²
Step 4: Combine the results:
This gives:
0.9186667 * 10²
Step 5: Simplify the coefficient:
She rounded the coefficient (0.9186667) to two decimal places, resulting in 0.92.
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What is my inequality and how do I graph it?
I am interested in starting a business selling homemade baked goods. I have decided to sell cookies and cupcakes as my two products.
To get started, I am willing to invest $5,000 of my own money in the business. This money can be used for purchasing ingredients, equipment, packaging, and marketing.
For cookies, I estimate that the cost to make each item will be around $0.50, including ingredients, labor, and packaging.
For cupcakes, I estimate that the cost per item will be around $1.50, considering the cost of ingredients, baking, frosting, and packaging.
In terms of pricing, I plan to charge $2 for each cookie and $4 for each cupcake. I have considered market demand, competition, and my desired profit margin in setting these prices.
By charging these prices, I expect to make a profit of $1.50 per cookie and $2.50 per cupcake after deducting the respective costs. This profit will help cover my initial investment, operational expenses, and provide room for growth and reinvestment in the business.
The Estimation for potential profitability of business is discussed below.
Based on your estimates, let's calculate the potential profitability of your business.
For cookies:
Cost per item: $0.50
Selling price per item: $2.00
Profit per item: $2.00 - $0.50 = $1.50
For cupcakes:
Cost per item: $1.50
Selling price per item: $4.00
Profit per item: $4.00 - $1.50 = $2.50
Now, let's consider the initial investment of $5,000.
Cookies:
= $5,000 / $1.50
= 3,333.33 cookies
Cupcakes:
= $5,000 / $2.50
= 2,000 cupcakes
As you continue operating your business, it's essential to track your expenses, sales, and adjust your pricing and costs accordingly.
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i would really appreciate if someone could help me with this alll you have to do is order them in the correct order form least to greatest i would give you a brainly
Answer:
From least to greatest it is:
3.441, 4 4/9, 89/20, 4.93
2x2 and the times tables
Explanation:
The question asked for
\(2\times2,and\text{ }the\text{ }times\text{ }table\)Concept:
2 times 2 means the addition of 2 in 2 places
\(\begin{gathered} 2\times2=2+2 \\ 2\times2=4 \end{gathered}\)The time table is given below as
Hence,
The final answer is
\(\Rightarrow2\times2=4\)operations of rational algebraic expression 1/4+2/4
Answer:
3/4
Step-by-step explanation:
please answer i will give brainliest
Answer:
Whas your i know you ocampo
Step-by-step explanation:
Witch ratio is less than 15/24
Answer:
Answer choices: 1/2, 7/8, 19/24, 6/8.
Step-by-step explanation:
Help plsssssss............