What does it mean to use the cosine value of an inverse of tan θ?
I attached the question I'm just confused.
Will it be 60°?
Answers
Answer:
[tex] \boxed{ \begin{array}{ccc} \displaystyle \theta = {120}^{ \circ} \\ \displaystyle\sin( {120}^{ \circ} ) = \frac{ \sqrt{3} }{2} \end{array}}[/tex]
Step-by-step explanation:
we are given a inverse trig
we want to figure out the value of [tex]\theta[/tex]
in that case we can consider using unit circle in unit circle the value of arctan (-√3)=120°
therefore,
the value of theta is 120°
likewise by unit circle the value of sine is
[tex] \displaystyle \sin( {120}^{ \circ} ) = \frac{ \sqrt{3} }{2} [/tex]
Related Questions
Math! :( no links answer correct for brainliest!
Answers
In decimal form it’s 127.27922
One-fifth of a bread loaf was shared equally among Herb, Dara, Mark, and Lily. What fraction of the original bread loaf did each person get?
Answers
Using the provided values and information, The answer is each person would receive 1/5 of the original bread loaf.
What do you mean by proportion?A proportion is a mathematical statement that compares two ratios. It is an equation that states that two ratios are equal, such as "a/b = c/d." Proportions are often used to solve problems involving fractions, decimals, and percentages. For example, if you know that a particular recipe calls for two cups of flour for every one cup of sugar, you can use this proportion (2/1 = x/3) to figure out how much sugar you need if you want to triple the recipe. The proportion can also be written as 2:1 = x:3.
What do you mean by ratio?A ratio is a mathematical comparison of two or more quantities, typically represented as a fraction. It is a way to compare the size of two or more things. For example, if a recipe calls for 2 cups of flour to 1 cup of sugar, the ratio of flour to sugar is 2:1. This means that for every 2 units of flour, there is 1 unit of sugar. Ratios can also be written using the colon symbol (:) or the word "to". For example, the ratio 2:1 can also be written as 2/1 or 2 to 1. Ratios can be simplified by dividing both the numerator and denominator by a common factor and can be used to compare quantities in different units.
Each person would get 1/5 of the original bread loaf. If the bread is divided equally among four people, then each person would receive 1/4 of the total amount. Since 1/5 is the same as 4/20, and 4 people are receiving the bread, then each person would receive 1/5 of the original bread loaf.
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The container has 1 gallon of water. Each bottle holds 1/8 of a gallon. How many bottles of water does the container hold?
Answers
The total quantity of water that the container would have to hold is given as 8.
How to find the total quantity of waterWe know that the container holds 1 gallon of water, and that each bottle holds 1/8 of a gallon. To find out how many bottles the container can hold we need to divide the container size by the size of each bottle.
We can use the following formula to find the number of bottles:
Number of bottles = Container size / Size of each bottle
We can substitute the values into the formula:
Number of bottles = 1 / (1/8) = 8
So the container can hold 8 bottles of water.
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help please u^u no links thanks
Answers
Answer:
x = 24
Step-by-step explanation:
The angles of a triangle added together equal 180⁰. Set up a simple equation to solve for x.
90⁰ + 42⁰ + (2x)⁰ = 180⁰
90 + 42 = 132
2x = 180 - 132
2x = 48
x = 24
Answer:
x = 24
Step-by-step explanation:
2x + 42 + 90 = 180
2x + 132 = 180
2x = 48
48/2 = x
x = 24
Have a nice day!
Lorraine prepared a 1.5-gallon pot filled with tomatoes to be canned in jars. Each jar will hold 1.5 quarts of tomatoes. If 1 gallon equals 4 quarts, how many jars
can Lorraine fill?
A.) 03 jars
B.)O4 jars
C.)05 jars
D.)O8 jars
Answers
If 1 gallon equals 4 quarts, Lorraine fill can 4 jars. Hence option B is the correct option.
What is the unit of an object?
The user can describe locations and dimensions in a wide range of various coordinate systems using unit objects. Every drawing is done in relation to a viewport, and the units determine the coordinate system to use there. "npc" is one example of a unit (coordinate system).
Given Lorraine filled a pot with tomatoes and the volume of the pot is 1.5 gallons.
She wants to fill the tomatoes in jars. The volume of the jar is 1.5 quarts.
1 gallon is equal to 4 quarts.
1.5 gallons is equal to 1.5 × 4 quarts = 6 quarts.
The number of jars that are filled with tomatoes is 6 quarts/ 1.5 quarts = 4.
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Latifa writes down a number
She says
If i find the cube root of that number and then quadruple the answer,I get 16
What number did Latifa write down?
Answers
Answer:
64?
Step-by-step explanation:
Basically the idea is we suppose the number she thinks of is "x"
She says that if she cube roots the number and then quadruples it (means multiply by 4 I think) she gets 16. We set this up as equation below:
[tex]4\sqrt[3]{x} = 16\\\sqrt[3]{x} = 4\\x = 4^{3}\\ x= 64[/tex]
This is my best guess, not totally sure sorry
The sum of two consecutive even numbers is 34. What numbers is it
Answers
Answer:
16 and 18
16 + 18 = 34 .......... .....
what is the estimate value of
Answers
Answer:
1.99
Step-by-step explanation:
Pi is 3.14
So result is 1.99
5. The base of a rectangular prism has
an area of 23 square cm. The height of
the rectangular prism is 3 cm. What is
the volume of this rectangular prism?
Answers
Answer:
1. length×width × height
4×9×10
=360cm
2.base×height
36×65
=2340 inches
What is the revolution of the Earth and Moon?
Answers
The revolution of the Earth and Moon refers to their orbits around the Sun. The Earth's revolution takes time of 365.24 days, and the Moon's revolution takes 27.32 days.
The revolution of the Earth and Moon is the path of the two celestial bodies around the Sun. The Earth takes 365.24 days to complete one revolution, which is also known as one year. The Moon, on the other hand, takes 27.32 days to complete one revolution, which is also known as one lunar month.
The revolution of the Earth and Moon refers to their orbits around the Sun, with the Earth taking 365.24 days and the Moon taking 27.32 days to complete one revolution.The revolution of the Earth and Moon refers to their orbits around the Sun. The Earth's revolution takes 365.24 days, and the Moon's revolution takes time of 27.32 days.
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#8 Please answer the question
Answers
Answer:
22°
Step-by-step explanation:
angles in a triangle sum upto 180°
100+58+<b=180
<b=180-158
<b=22°
monica says since all squares are rectangles, all rectangles are squares is she correct explain
Answers
Answer:
no, rectangles have 2 sets of parallel sides but in a square all sides are parallel
Answer:
no
Step-by-step explanation:
She is not correct because in the hierarchy squares are last. All squares are rectangles but not all rectangles are squares. Some rectangles do not have all the properties of a square.
PLEEEEEEEEEEEASE HELP
Answers
Answer:
x=6
Step-by-step explanation:
x+54+5x=90
6x+54=90
6x=90-54
6x=36
x=36/6
x=6
plz mark as brainiest
Find the midpoint between these points.
(1,3) (5.1)
someone please help asap !!!
Answers
Answer:SOLUTION
The midpoint for two points P=(px,py) and Q=(qx,qy) is M=(px+qx2,py+qy2).
We have that px=1, py=3, qx=5, qy=1.
Thus, M=(1+52,3+12)=(3,2).
ANSWER
M=(3,2)A
Step-by-step explanation:
Answer:
The midpoint is (3, 2)
Step-by-step explanation:
To find the x-coordinate of the midpoint, average the x-coordinates 1 and 5:
1 + 5
xm = ----------- = 3
2
y-coordinate:
1 + 3
ym = ----------- = 2
2
The midpoint is (3, 2)
Lynn is a zoo keeper at mattock zoo.Her hourly rate is $6.85.she earns $328.80 every week.how many hours does she works in a week?show working
Answers
Answer:
48 hours
Step-by-step explanation:
you would divide the total by the part (328.80/6.85) and that would give you her hours. hope this helps
Answer:
48 hours
Step-by-step explanation:
328.80 ÷ 6.85=48 hours in a week
express √832 in the form 4n where n is the integral
Answers
We can express √832 as 4(2√13).
What is definite integral?A definite integral of a function can be represented as the signed area of the region bounded by its graph.
Given is the root of 832 or √832.
Assume that {4n} is equal to {y}. So, we can write -
y = 4n
Squaring both sides, we get -
y² = (4n)² = (√832)²
y² = 16n² = 832
16n² = 832
n² = (832/16)
n² = 52
n = √52
n = 2√13
So, we can write (√832) as 4(2√13).
Therefore, we can express √832 as 4(2√13).
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1. Find the median of the following set of data.
55, 46, 48, 57, 46, 53, 50, 47
Answers
Answer:
51.5
Step-by-step explanation:
i think not sure if there's an odd number of numbers you get the 2 numbers add them up and divide them by 2! hope this helps! good luck.
Find value of y
[tex] {y}^{2} - 58 = 25 \times 4 + 11[/tex]
Answers
Hello there!
Answer:
y = ± 13
Step-by-step explanation:
[tex]y {}^{2} - 58 = 25 \times 4 + 11 \\ y {}^{2} - 58 = 100 + 11 \\ y {}^{2} - 58 = 111 \\ y {}^{2} - 58 - 111 = 111 - 111 \\ y {}^{2} - 169 = 0 \\ (y + 13)(y - 13) = 0 \\ y = - 13 \: \: \: and \: \: \: y = 13[/tex]
H) find the solution of the equation
In ( x + 2 ) = 4
how?
Answers
Answer:
x = 2
Step-by-step explanation:
If you look at the equation:
(x + 2) = 4
We just need to solve for x.
To solve for x, we can subtract the total by the addend, to get the variables value.
4 - 2 = 2
Therefore, the value of x is 2.
Explanation:
1. Since In(x) = b is equivalent to x = e^b,
convert the given equation to exponential form. It should be x+2 = e^4.
2. To solve for x subtract by 2 on both sides which should give you x = e^4 - 2.
Type answer here.
Mollie is playing a game where she is
throwing darts at a wall filled with shapes.
Her current results are circle 7, square 4,
triangle 7, and pentagon 3. Which of the
followings statements is true?
A She is more likely to hit a square
than a triangle
B She is less likely to hit a circle than
a square.
C She is just as likely to hit a
triangle as a circle.
D She is certain to hit a circle.
6
Answers
Taking into account, the number of successful throws into different shapes, Mollie is just as likely to hit a triangle as a circle. i.e option C.
What is probability?A probability is a numerical representation of the possibility or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
What is the significance of probability?Probability is an important method for comprehending and making judgments regarding uncertain occurrences in many disciplines, including statistics, finance, and science. It aids in quantifying and forecasting the probability of specific events, enabling us to make better educated choices and comprehend the degree of risk involved with various activities. In summary, probability is a key idea in decision-making and risk management because it is a potent instrument for comprehending and managing uncertainty.
Since, the number of throws of darts by Mollie is same for both the circle and triangle, there is equal likelyhood to hit the triangle as a circle. Which is the required true statement.
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What are 3 examples of perfect squares?
Answers
Three examples of perfect squares is 1) 9, as it is equal to 3 x 3.2) 16, as it is equal to 4 x 4.3) 25, as it is equal to 5 x 5.
What is perfect squares?Perfect squares are numbers that can be expressed as the product of two equal integers, such as 4, 9, and 16. These numbers can be written as the square of a single number, such as 2² = 4, 3² = 9, and 4² = 16. Perfect squares are also known as whole squares, and they provide an easy way to find the square root of a number.
Perfect squares are numbers that are the result of multiplying a number by itself. For instance, 4 is a perfect square because it is equal to 2 x 2.
Similarly, 9 is a perfect square because it is equal to 3 x 3. Perfect squares can be easily identified by their square root, which is the number that can be multiplied by itself to produce the perfect square.
For example, the square root of 16 is 4, since 4 x 4 = 16.
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Sally completely solves at least 7 calculus problems per hour and at most 10 calculus problems per hour. Based on this information, what is a possible number of calculus problems that Sally can completely solve in five hours?
Answers
Sally can solve minimum of 35 calculus problem and maximum of 50 calculus problem.
What does calculus mean in plain English?Calculus is a branch of mathematics that focuses on rates of change, to put it simply. For instance, you might want to determine how quickly a car will slow down as it approaches a stop sign. Calculus can assist you in calculating that change. Calculus introduces movement into math, that's correct!
Calculus is used by who?Calculus is useful in many different fields, including engineering, medicine, biological research, economics, architecture, space science, electronics, statistics, and pharmacology.
minimum = 35
maximum=50
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A meteorologist set up rain gauges at various locations around a city and recorded the rainfall amounts in the table below. Use data in the table to create a line plot using 1/8 inches.
Answers
The data of the rainfall amount in inches to the locations are used to plot the attached line plot created with MS Excel.
What is a line plot?A line plot is a graph is the graphical display of data as check marks or points above a number line.
A line plot shows the frequency of the values in the data on the number line, using dots or check marks. The frequency of the data is shown above the specified locations on the graph of a line plot.
The line plot is therefore, indicative of how frequent particular values in the dataset are.
The possible data in the question are presented as follows;
Rainfall Amount; 1/8,[tex]{}[/tex] 3/8, 3/4, 3/4, 1/4, 1 1/4, 1/8, 1/4, 1, 1/8
Location; [tex]{}[/tex] 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
The frequency of the data in a tabular form are;
Rainfall [tex]{}[/tex] Frequency
1/8 [tex]{}[/tex] 3 locations
3/8 [tex]{}[/tex] 1 location
3/4 [tex]{}[/tex] 2 locations
1/4 [tex]{}[/tex] 2 locations
1 1/4 [tex]{}[/tex] 1 location
1 [tex]{}[/tex] 1 location
The above frequency values can be used to create the attached line plot created with MS Excel
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Help asap!!!!!!!!!!!
Answers
Answer:
hi there I am Madhumita a good time to explore new ways of learning and smart ways of learning and smart ways of earning a living the good work he is there a way to get lost in the given equation of state for the diagram
Grace was born in 1995. How old will she be in 2027
Answers
Answer:
Grace will be 32 years old in 2027.
Answer: she will be 32 years old.
Step-by-step explanation:
Uri buys two burgers and a soda for $\$2.10$, and Gen buys a burger and two sodas for $\$2.40$. How many cents does a soda cost
Answers
The cost of soda as calculated from the data given is found to be as 0.9 cents.
the price of 1 burger = x
the price of 1 soda =y
Therefore, the equation for Uri and Gen becomes,
2x + y = $2.10
x+ 2y = $2.40
On solving these two equations we will get the value of x and y which represents their cost.
on multiplying equation 2 with 2 , we will get ,
2x + 4y = 4.80
Therefore , on subtracting equation 1 and 2 ,
2x + y = $2.10
- 2x + 4y = 4.80
=> -3y = - 2.7
=> y = 0.9
Therefore x will be ,
x+ 2y = $2.40
x+ 2(0.9) = $2.40
x + 1.8 = $2.40
x = 2.40 - 1.8
= 0.60
Therefore, cost of soda is 0.9 cents.
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Mav is making pizzas for a pizza party. Each pizza requires 4/5 pound of cheese. How many pounds of cheese does she need to make 5 pizzas? Express your answer in simplest form.
Answers
Answer:
4 pounds of cheese
Step-by-step explanation:
4/5*5=4
Find the volume of the sphere. Leave your answers In terms of pi
Answers
Answer:
volume of the sphere
[tex] \frac{4}{3} \times \pi \times {r}^{3} \\ \frac{4}{3} \: \times \pi \times 1000 \\ 1333.333333333\pi {in}^{3} [/tex]
answer is option C
Hannah wants to simulate whether customers will choose a small, medium, or large drink, or no drink at a fast food restaurant.
Answers
Answer:
d. Some customers had more than one drink.
Step-by-step explanation:
The exact question is as follows :
Given - Hannah wants to simulate whether customers will choose a small, medium, or large drink, or no drink at a fast food restaurant. She decides to use digits from a random number table to represent the drink option a customer will order (0=no drink, 1=small drink, 2=medium drink, 3=large drink, ignore digits 4-9)
To find - Why does this NOT model the situation?
a. The choices are not equally likely to occur.
b. Some of the digits were ignored.
c. The choice are independent of each other.
d. Some customers had more than one drink.
Solution -
The correct option is - d. Some customers had more than one drink.
Reason -
If Customer order more than one drink, then also he has to order either of the digits.
So, Hannah can not be sure about the order that he wants single order or wants to repeat the order.
I need Help with this
Answers
I believe the answer to that is <
Answer:
<
Step-by-step explanation:
Negative 1 and 3/4 is less than negative -1 and 1/4 because if you were to put the points on a number line, -1 and 1/4 is on the right of negative 1 and 3/4. And right is the positive direction on a number line.