The trigonometric ratios of sin 79°, cos 47°, and tan 77° are 0.9816, 0.6819, and 4.1563, respectively. The trigonometric ratio refers to the ratio of two sides of a right triangle. The trigonometric ratios are sin, cos, tan, cosec, sec, and cot.
The trigonometric ratios of sin 79°, cos 47°, and tan 77° can be calculated by using trigonometric ratios Formulas as follows:
sin θ = Opposite side / Hypotenuse side
sin 79° = 0.9816
cos θ = Adjacent side / Hypotenuse side
cos 47° = 0.6819
tan θ = Opposite side / Adjacent side
tan 77° = 4.1563
Therefore, the trigonometric ratios are:
Sin 79° = 0.9816
Cos 47° = 0.6819
Tan 77° = 4.1563
The ratio of two sides of a right triangle is referred to as the trigonometric ratio. There are six ratios available for each angle. Sin, cos, tan, cosec, sec, and cot are the percentages. In trigonometry, these ratios are used to provide solutions to problems involving a triangle's angles and sides. The ratio between the lengths of the sides directly opposite the angle and the hypotenuse is known as the sine of the angle.
The ratio of the neighbouring side's length to the hypotenuse's length is known as the cosine of an angle. The lengths of the adjacent and opposing sides are compared to determine the angle's tangent. The reciprocals of sine, cosine, and tangent are known as cosecant, secant, and cotangent, respectively. The trigonometric ratios of sin 79°, cos 47°, and tan 77° must be determined in this problem.
Using a calculator, we can evaluate these ratios. Rounding to the nearest hundredth, we get:
sin 79° = 0.9816, cos 47° = 0.6819, tan 77° = 4.1563
Therefore, the trigonometric ratios of sin 79°, cos 47°, and tan 77° are 0.9816, 0.6819, and 4.1563, respectively.
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What is the area of the triangle?
5 inches
15 in 2
24 in 2
12 in 2
16 in 2
4 inches
6 inches
5 inches
The area of the triangle is 12 in². Option C is the correct option.
What is a triangle?
A triangle is a three-edged polygon with three vertices. It is a fundamental shape in geometry. Triangle ABC denotes a triangle with vertices A, B, and C. In Euclidean geometry, any three non-collinear points define a unique triangle and, by extension, a unique plane.
The base of the triangle is 6 inches.
The height of the triangle is 4 inches.
The area of a triangle is half of the product of the base and height.
The area of the given triangle is
1/2 × 6×4
= 3×4
=12 in²
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over 62 percent of children enrolled in public schools are of non caucasian ancestry. group of answer choices true false
False. The percentage of children enrolled in public schools that are of non-Caucasian ancestry varies by location and can change over time. According to the National Center for Education Statistics (NCES), as of the 2018-2019 school year, the percentage of public school students who were non-Caucasian was around 50%.
Public School Ethnicity PercentageAccording to the National Center for Education Statistics (NCES), as of the 2018-2019 school year, the percentage of public school students who were non-Caucasian was around 50%. So it is not true that over 62% of children enrolled in public schools are of non-Caucasian ancestry.
It's hard to say why the percentage of non-Caucasian students in public schools is less than 62%. It could be because of a variety of factors, such as demographic changes in the population, socioeconomic factors, or even educational policies. However, it's important to note that the percentage of non-Caucasian students in public schools can vary depending on location and can change over time.
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How is factor theorem derived?
Factor theorem is most commonly used for factoring a polynomial or integer and searching the roots of the polynomial. It is a particular case of a polynomial remainder theorem.
As defined in the introduction, a polynomial f(x) has a factor (x-a), if and only if, f(a) = 0. It is one of the processes to do the factorization of a polynomial.
Here we can prove the factor theorem, according to which we can.
factories the polynomial.
Consider a polynomial f(x) which is divided by (x-b), then f(c)=0.
Using remainder theorem,
f(x)= (x-b) q(x)+f(b)
Where f(x) is the target polynomial and q(x) are the quotient polynomial.
because f(b) = 0, So,
f(x)= (x-b) q(x)+f(b)
f(x) = (x-b) q(x)+0
f(x) = (x-b) q(x)
So, (x-b) is a factor of the polynomial f(x).
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Question 2-1
A company is offering a bank account. The value, in dollars, of the account is represented by the function A(r) = 50,000(1.02), where t represents the number of years since
the account was first opened. Determine the average rate of change of the account value from t=0 to t=5. Express your answer to the nearest cent.
It represents the average amount of change in the function per unit throughout that time period.
What is the rate of change of the average?Divide the change in y-values by the change in x-values to calculate the average rate of change. When analyzing changes in measurable parameters like average speed or average velocity, finding the average rate of change is quite helpful.
The formula R = D/T, or rate of change equals the distance traveled divided by the time required to do so, can be used to approach rate-of-change problems in general.
It represents the average amount of change in the function per unit throughout that time period. It is generated from the slope of the straight line joining the interval's ends on the graph of the function.
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Can a triangle be formed with side lengths of 3/4 7?
Answer:
NO
Step-by-step explanation:
Assuming the correct question is "Can a triangle be formed with side lengths of 3, 4 and 7?"
The sum of the length of any two sides of a triangle is greater than the length of the third side
3 + 4 = 7
so your answer is NO
Which of the following graphs does NOT describe y as a function of x?
Answer:
The x value of a point where a vertical line intersects a function represents the input for that output y value. If we can draw any horizontal line that intersects a graph more than once, then the graph does not represent a function because that y value has more than one input.
Step-by-step explanation:
Is x² a coefficient?
In the equation 3x², the variable x²'s coefficient is 3.
The formula is 3x2.
To determine: The expression's variable x2's coefficient
The number next to the variable in the equation is the coefficient.
Three is the coefficient of x in 3x².
The coefficient of a number is the product of the number and the variable. For example, 6 is the value of the x² coefficient in the formula 6x2+99.
The word that is multiplied by x² is 3, as can be seen.
Consequently, the value of x² in the equation 3x² is 3.
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Complete question - What is the coefficient of x² in 3x²?
I don't know what to do please help
Answer:
f(-4) = -20
f(1) = 5
f(2) = 10
f(3) = 15
f(6) = 30
Step-by-step explanation:
Since the equation is f(x) = 5x, you will have to substitute the x-values into the equation to find out what f(x) equals for each one.
For example, for x = -4, f(-4) would equal -20 since 5 * -4 = -20.
The rest would be:
f(1) = 5 * 1 = 5
f(2) = 5 * 2 = 10
f(3) = 5 * 3 = 15
f(6) = 5 * 6 = 30
Hope this helps!
how do i solve 15 x - 20 < 40
Answer:
x<4
Step-by-step explanation:
To solve and make the problem less intimidating, it is easier to just imagine that the < is a = sign. The only difference when solving a inequality versus an equation is that you flip the inequality sign when multiplying or dividing by a negative, which we won't need to worry about in this problem. Now, hopefully, this will make more sense when we are solving.
The first step is to add 20 to both sides:
15x - 20 < 40 (Add 20 to both sides)
15x < 60
Now, divide both sides by 15, so we are juts left with x:
15x < 60 (Divide both sides by 15)
x < 4
So, the inequality is true for any x value that is less than 4, or x<4.
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Find the volume of a pyramid with a square base, where the side length of the base is 16. 7\text{ in}16. 7 in and the height of the pyramid is 18. 5\text{ in}18. 5 in. Round your answer to the nearest tenth of a cubic inch.
A pyramid with a square base has a volume of 1682.64 cubic meters.
What is perimeter?A perimeter is a closed route that covers, surrounds, or outlines a two-dimensional form or length. The circumference of a circle or an ellipse is its perimeter. There are various practical applications for calculating the perimeter. The perimeter of a shape is the distance around its edge. A shape's perimeter is always computed by summing the lengths of each of its sides. The perimeter of a thing is the distance surrounding it. Your house, for example, has a fenced-in yard. The perimeter of the barrier is its length.
Here,
side=16.7 m
volume=1/3*16.7²*18.1
=1/3*5047.909
=1682.64 m³
The volume of a pyramid with a square base is 1682.64 m³.
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What is 7 with an exponent of 4?
7 with an exponent 4 is 2401. It can be expressed as,
[tex]7^{4}[/tex] = 7. 7. 7. 7 = 2401
In the exponent form, two terms frequently in exponents are base and powers. Powers are mathematical expressions in the form [tex]x^{n}[/tex] , where x is the base and n is the exponent. Powers represent repeated multiplication, where the base is the number or variable that is multiplied repeatedly, and the exponent indicates how many times to multiply the base by itself.
We can write it in exponent form as [tex]7^{4}[/tex], where 7 is the base and 4 is the power. Power should always be written on top of the base.
It means 7 is multiplied 4 times. So, 7 × 7 × 7 × 7 = 2401
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This matrix represents the length and width of a rectangle: matrix one applying a scale factor means multiplying the length and width by the same factor to produce a similar rectangle. Use matrix multiplication to double the length and width of rectangle: matrix two a = b =.
So on solving the provided question we can say that - the length is 4.5 times the area Area of rectangle = A = x X 4.5x; x = 5
What is rectangle?A rectangle in Euclidean plane geometry is a quadrilateral with four right angles. You might also describe it as follows: a quadrilateral that is equiangular, which indicates that all of its angles are equal. The parallelogram might also have a straight angle. Squares are rectangles with four equally sized sides. A quadrilateral of the shape of a rectangle has four 90-degree vertices and equal parallel sides. As a result, it is sometimes referred to as an equirectangular rectangle. Because its opposite sides are equal and parallel, a rectangle is also known as a parallelogram.
here,
the length is 4.5 times the area
let length = x
breadth = 4.5 x
Aare of rectangle = A = x X 4.5x
100 = 4x^2
x = 5
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6.
In George's classroom, there are 6 girls for every 2 boys. What is the ratio of boys to the total number of students
A. 1:3
B. 3:1
C. 1:4
D. 4:1
Answer:
B
I am sorry if this is wrong
Simplify (10−6)2 + 8 − 22.
A.20
B.68
C.12
D.52
Answer: 20
Step-by-step explanation: i did this before on a quiz
Answer:
20
Step-by-step explanation:
online calcs can help with this
The students in Sam’s school voted for their favorite subject. Sam displayed the results in the cirlce graph shown.
Which statements are true about the data in the graph? Check all that apply.
A circle graph titled Favorite Subject. Math is 24 percent, language arts is 20 percent, science is 18 percent, social studies is 16 percent, art is 14 percent, and other is 8 percent.
a. If 100 students were surveyed, 34 would choose math as their favorite subject.
b. If 200 students were surveyed, 28 would choose art as their favorite subject.
c. If 400 students were surveyed, 64 would chose social studies as their favorite subject.
d. If 100 students were surveyed, 38 would choose science as their favorite subject.
e. If 200 students were surveyed, more than half would choose science or social studies as their favorite subject.
The statements that are true about the data in the graph include the following:
B. If 200 students were surveyed, 28 would choose art as their favorite subject.
C. If 400 students were surveyed, 64 would chose social studies as their favorite subject.
What is a pie chart?In Mathematics, a pie chart can be defined as a type of graph that is used for the graphical representation of the proportion relationship between each part or unit to a whole, especially by dividing a circle into various sectors or sections.
Assuming 200 students were surveyed at 14%, the number of students who would choose art as their favorite subject can be calculated as follows;
Number of students for arts = 14/100 × 200
Number of students for arts = 0.14 × 200
Number of students for arts = 28 students.
Assuming 400 students were surveyed at 16%, the number of students who would choose social studies as their favorite subject can be calculated as follows;
Number of students for social studies = 16/100 × 400
Number of students for social studies = 0.16 × 400
Number of students for social studies = 64 students.
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30 points
please help
The time it takes Timothy to drive to his friend's house does not proportional to the distance. Because all ordered pairs do not pass through a straight line.
What is the ordered pair?
An ordered pair is a composition of the x coordinate (abscissa) and the y coordinate (ordinate), with two values, expressed between parenthesis in a predetermined order. It aids visual comprehension by locating a point on the Cartesian plane. An ordered pair's numeric values can be integers or fractions.
Given ordered pairs are (5,10), (11,15), and (18,20).
The ordered pairs are plotted on the graph.
A line can not draw through the ordered pairs.
Thus, time is not proportional to distance.
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Need this asap if you help Tysm!!!
Answer:
B. -$0.75
Step-by-step explanation:
that is really very simple.
the value on day 1 (the begin) is $2.50.
the value on day 5 (the end of the week I assume) is $1.75.
so, the value changed by -$0.75 from $2.50 to $1.75.
yes, this is the sum of all little individual changes day by day. but there is no need to do these detailed calculations. at the end it is just
value end - value begin
Solve tan² (0) = 1 on the interval [0, π).
The answers are A and B where 0 < A
A =
B=
After solving tan² (0) = 1 on the interval [0, π), The answers are A and B where 0 < A, A = 22 and B = 4.
What is interval in graph?A set of intervals on the real line are used to create an interval graph, which is an undirected graph in graph theory. Each interval has its own vertex, and there is an edge between vertices where its intervals intersect. It is the graph created by intersecting the intervals.
Chordal and perfect graphs both exist as interval graphs. In these graphs, an optimal graph colouring or maximum clique can be found in linear time, and they are recognisable. The interval graphs comprise all proper interval graphs, which are defined from a set of unit intervals in the same manner.
[tex]$\tan x-1=0 \rightarrow \tan x=\pm 1$[/tex]
Trig table give [tex]$\tan x=1=\tan \left(\frac{\pi}{4}\right)$[/tex]
Trig unit circle gives another arc that has same tan value:
[tex]$x=\left(\frac{\pi}{4}+\pi\right)=\left(\frac{5 \pi}{4}\right)$[/tex]
and
[tex]$ tan \ x=-1=\tan \left(\frac{3 \pi}{4}\right)$[/tex]
Trig circle gives another angle: [tex]$x=\frac{3 p}{4}+\pi=\frac{7 \pi}{4}$[/tex]
In the interval [tex]$(0, \pi)[/tex] there are 4 answers: [tex]$\frac{\pi}{4} ; \frac{3 \pi}{4} ; \frac{5 \pi}{4} ; \text{and} \frac{7 \pi}{4}$[/tex]
7(22/7)/4
= 22/4
A = 22
B = 4
Thus, After solving tan² (0) = 1 on the interval [0, π), The answers are A and B where 0 < A, A = 22 and B = 4.
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What is the distance between points (-4,2) and (1,-3) on the coordinate plane?
Answer:
7.07 units
Step-by-step explanation:
These triangles are congruent by the triangle congruence postulate...
Answer:
SSS
Step-by-step explanation:
They share one common side, and the two other sides are marked with single and double line identifiers, meaning they are the same. Therefore, SSS.
Look carefully at the completed Punnett Squares A, B, and C. Use these letters to answer the questions below. Answers may be used more than once. Which Punnett Square shows: 2. 25% wrinkled offspring? Fill in the blank text field 1 Enter Text Here 3. 50% wrinkled offspring? Fill in the blank text field 2 Enter Text Here 4. 75% round offspring? Fill in the blank text field 3 Enter Text Here 5. 100% round offspring? Fill in the blank text field 4 Enter Text Here Check Answer Three Punnett squares.
Answer: A C A B
Step-by-step explanation:
The perimeter of a rectangle is 70 cm. If its length is decreased by 5 cm and its width is increased by 5 cm, its area will increase by 50 cm². Find the length and the width of the original rectangle.
The requried dimension of the original rectangle is given as length = 25 cm, width = 10 cm.
What is a rectangle?The rectangle is 4 sided geometric shape whose opposites are equal in length and all angles are about 90°.
Let the length and width of the original rectangle be x and y,
According to the quesiton,
The perimeter of a rectangle is 70 cm.
2 [x + y] = 70
x + y = 35 - - - -(1)
Now,
its length is decreased by 5 cm and its width is increased by 5 cm, its area will increase by 50 cm².
Area of the new rectangle = area of the original rectangle + 50
(x - 5)(y + 5) = xy + 50
from equation 1,
(x - 5)(35 - x + 5) = x(35 - x) + 50
-x² - 200 + 40x + 5x = 35x - x² + 50
45x - 35x = 50 + 200
10x = 250
x = 25
Now,
y = 35 - 25
y = 10
Thus, the requried dimension of the original rectangle is given as length = 25 cm, width = 10 cm.
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which relation is a function ?
Answer:
the third one
Step-by-step explanation:
it only passes once
What is the rule about 3 side lengths forming a triangle?
Answer:
there some rules
Step-by-step explanation:
Jan 12, 3:23:54 PM
Zoey goes out to lunch The bill, before tax
and tip, was $9.45. A sales tax of 3% was
added on. Zoey tipped 15% on the amount
after the sales tax was added. What was
the total cost of the meal, plus tax and tip?
Round to the nearest cent
The total cost of the meal, plus tax and tip will be $11.19.
What is the total cost?The total cost is the lowest dollar cost of producing a certain amount of output. This is the total economic cost of production, which includes variable costs.Steps to do are as follows:
Move the decimal point two spaces to the left to convert the tax percentage to a decimal.To calculate the sales tax, multiply the pre-tax value by the newly calculated decimal value.To calculate the total cost, add the sales tax value to the pre-tax value.Here given,
Meal = $9.45
Tax equals 3% of 9.45, or.
.03 x 9.45 = $0.2835
Meal plus tax equals $9.45 + $0.2835 = $9.7335
Tip equals 15% of $9.7335
or .15 x 9.7335 = $1.460
TOTAL = Meal + Tax + Gratuity = $9.45+ $0.2835 + $1.460
= $11.19
Therefore the total cost is $11.19.
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Which point is in the solution set of the given system of inequalities?x+y≥24x+y≥-1A-(2, 0)B-(0, 2)C-(0, 3)D-(0, –1)
C) (0,3) is only solution set of the given system of inequality.
To solve the system of inequalities x + y ≥ 2 and 4x + y ≥ -1 , we can start by isolating the variables on one side of each inequality and then finding the intersection of the solutions.
given:
x+y ≥2 ----(i)
4x+y ≥-1 ----(ii)
subtracting (i) from (ii) we get
3x ≥ -3
=> x ≥ -1
now y ≥ 2- x
=> y ≥ 2 -(-1)
=> y ≥ 3
So, the solution set for the given system of inequalities is the set of all ordered pairs (x, y) such that x ≥ -1 and y ≥ 3.
and only option C(0,3) satisfies this equation.
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I am a 2-digit odd number. The product of my digits is 36. What is my last digit?
please reply
A sequence starts with: 390625, 78125, 15625, 3125
Work out the next four sequences.
Answer:
625, 125, 25, 5
Step-by-step explanation:
390625, 78125, 15625, 3125
We need to find out the relationship between a number and the previous number.
We can tell that there is no common difference since 78125 - 390625 cannot possibly equal 3125 - 15625.
We can try to check if this is a geometric sequence.
78125/390625 = 0.2
15626/78125 = 0.2
3125/15625 = 0.2
Each number is 1/5 of the previous number.
3125/5 = 625
625/5 = 125
125/5 = 25
25/5 = 5
Answer: 625, 125, 25, 5
Jame i reading a book that i 1400 page he will read the ame number of page each day if he read the book in even day how many page will he read each day
He will read 700 pages each day.He must be committed to reading this amount of pages each day in order to finish the book in two days.
1. There are 1400 pages in the book.
2. The book must be read in even days.
3. To find the number of pages read each day, divide 1400 by 2 (since it must be read in two days).
4. The answer is 700 pages read each day.
The book contains 1400 pages and must be read in two days. To find the answer, the number of pages must be divided by two. This means that each day, he must read 700 pages. This is the same amount each day, so he will read the same amount of pages for each day he reads it. He will have to read for two days in order to finish the book and will read 700 pages for each day. He must be committed to reading this amount of pages each day in order to finish the book in two days.
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3. The outside temperature decreases
by 7°F in 3 hours.
Part A
How would you represent the
temperature change as a unit rate?
Express your answer as an integer.
poir
poi
Part B
If the temperature continues to
decrease at this rate, what will be
the change in temperature after 5
hours?
Answer:
Part A: 2
Part B: 10° F
Step-by-step explanation:
Part A
The rate of change is calculated by dividing the difference in temperature by the time.
rate of change = (7°F)/(3 1/2 hours)
rate of change = 7/3.5
rate of change = 2
Answer: 2
Part B
The rate of change tells us that each hour that passes, the temperature decreases by 2° F.
In 5 hours, 5 × 2 = 10, so the change in temperature will be 10° F.
Answer: 10° F