The value of sin(23°) is equivalent to 0.39.
What are trigonometric functions?There are six major trigonometric functions as -
Sine(x)Cosine(x)Tangent(x)Cotangent(x)Secant(x)Cosecant(x)We can write the relation between them as -
Sine = 1/cosecantCosine = 1/secantTangent = 1/CotangentGiven is to find the value of sin 23°.
Now, we can write the value of sin(23°) as -
sin(23°) = sin(30° - 7°)
Expanding using the compound angle formula, we can write -
sin (x - y) = sin(x) cos(y) - cos(x) sin(y)
sin(30° - 7°) = sin(30°) cos(7°) - cos(30°) sin (7°)
sin(30° - 7°) = 1/2 x 0.99 - √3/2 x 0.121
sin(30° - 7°) = 1/2 x 0.99 - √3/2 x 0.121
sin(30° - 7°) = 0.495 - 0.105
sin(30° - 7°) = 0.495 - 0.105
sin(30° - 7°) = 0.39
Therefore, the value of sin(23°) is equivalent to 0.39.
To solve more questions on trigonometric functions, visit the link below-
https://brainly.com/question/30672622
#SPJ7
Can someone help me please I’ve been stuck for a week :(
Answer:
8/25.
Step-by-step explanation:
As a fraction it is 32/100 but simplified is 8/25 :)
solve for x y=c(x+b)
Step-by-step explanation: To solve for x in this literal equation, I would first distribute the C through the parentheses to get y = cx + cb.
Now subtract cb from both sides to get y - cb = cx.
Finally, divide both sides by c to get y - cb / c = x.
what is one third the product of 2 numbers a and b.
Answer:
1/3 (a+b)
Step-by-step explanation:
The required solution is 1/3ab.
It is required to find the solution.
What is arithmetic?Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
Given:
Let the 2 numbers be a and b.
According to given question we have,
Product =a× b=ab
1/3 of product =1/3ab
Therefore, the required solution is 1/3ab.
Learn more details about arithmetic here:
https://brainly.com/question/11559160
#SPJ2
Help I offer all of my points
Answer:
100 bags
Step-by-step explanation:
You're going to want to multiply each amount of pounds the bags are by two. So 30 × 2 is 60. 15 × 2 = 30. 5 × 2 = 10.
60 + 30 = 90
90 + 10 = 100 (BRAINLIEST PLEASE OvO)
Can someone please answer this? No links, stealing the points, or deleting your answer, please! I am sick of those kinda people. Really would appreciate it if someone answered because I need a good grade!
Check the picture below.
If a line l is perpendicular to a segment AB at point E and AE = EB how many points on line l are the same distance from point A as from point B
Answer:
101
Step-by-step explanation:
OMG HELP RN
On a typical night at a restaurant, the patio lights use 202.64 kilowatt-hours of electricity and the courtyard lights use h kilowatt-hours of electricity.
Which of the following expressions represents the total number of kilowatt-hours of electricity the patio and courtyard lights use?
A.
202.64 - h
B.
202.64 ÷ h
C.
202.64 × h
D.
202.64 + h
Answer:
C would be the answer
Hope this helps!
PLEASE HELP LOOK AT THE PIC BELOW
Answer:
The simplest answer is
[tex] \frac{16}{21} [/tex]
The reason how I got that is because to divide fractions, you have to turn them improper. Once you've done that, you then can multiply it by using the reciprocal of the second fraction. Once they are rearranged, multiply all the numerators by each other. do the same with the denominators and form a new fraction.
[tex] \sf \longmapsto1 \frac{1}{3 } \div 1\frac{3}{4} [/tex]
[tex]\sf \longmapsto \frac{4}{3} \div \frac{7}{4} [/tex]
[tex]\sf \longmapsto \frac{4}{3} \times \frac{4}{7} [/tex]
[tex]\sf \longmapsto \frac{4 \times 4}{3 \times 7} [/tex]
[tex]\sf \longmapsto \frac{16}{21} [/tex]
Therefore the answer is :
[tex]\sf \frac{16}{21} [/tex]
75% of what equals 30
Answer:
30 is 75% of 40
Step-by-step explanation:
We have, 75% × x = 30 or, 75/100 x = 30. Multiplying both sides by 100 and dividing both sides by 75, x = 40.
And if you are using a calculator, simply enter 30×100÷75, which will give you the answer.
Hey there!
75% of ? = 30
75% of x = 30
75/100 * x = 30
75 ÷ 25 / 100 ÷ 25 * x = 30
3/4 * x = 30
MULTIPLY 4/3 to BOTH SIDES
4/3 * 3/4x = 4/3 * 30
CANCEL out: 4/3 * 3/4 because that gives you 1
KEEP: 4/3 * 30 because it helps solve for your answer
x = 4/3 * 30
SIMPLIFY IT
x = 40
Therefore, 75% of [40] = 30
Answer: 40
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Please look at the picture.
What is the value of x in this triangle?
56.51°
.58°
28.89°
33.49°
Answer:
x = 33.49°
Step-by-step explanation:
The relevant trig ratio is the sine:
Sin = Opposite/Hypotenuse
siin(x) = 32/58
The angle measure is found using the inverse function:
x = arcsin(32/58) ≈ 33.49°
Answer:
i got 32 is it 32 cause i put 33 cause it was closer
Step-by-step explanation:
You are studying a population of geese in which there are two color phases, brown and gray. Color in this species is controlled by a single gene, with brown dominant to gray. A random sample of 250 geese shows that 210 are brown. What percentage of the brown geese are heterozygous
Based on the information given the percentage of the brown geese that are heterozygous is 48%.
Random sample = 250
Brown color = 210
Gray color = 250 - 210 = 40
First step is to calculate the proportion of a alleles in the population
Proportion (a alleles)=√40/250
Proportion (a alleles)= √0.16
Proportion (a alleles)= 0.4
Second step is to calculate the proportion of A alleles in the population
p(A) = 1 - 0.4
p(A)= 0.6
Third step is to calculate brown heterozygous percentage using this formula
Brown heterozygous percentage=2pq(Aa)
Let plug in the formula
Brown heterozygous percentage= 2 x 0.6 x 0.4
Brown heterozygous percentage= 0.48 ×100
Brown heterozygous percentage= 48%
Inconclusion the percentage of the brown geese that are heterozygous is 48%.
Learn more here:https://brainly.com/question/2632209
Choose the correct answer to 97 ÷ 4.
24 R1
24
23 R5
24 R3
Answer:
24 R1
Step-by-step explanation:
HELP PLEASE!!!!!!!!!
Answer:
2
Step-by-step explanation:
the formula is y^2-y^1 over x^2-x^1
so the y coordinates here are 5 and -5
5--5=10
the x coordinates are -2 and 3
3--2=5
so we are left with 10/5
the answer is 2
hope this helped
Is this triangle not similar because it only has two proportional sides?
Answer:
The triangles are similar.
Step-by-step explanation:
They share a common angle (∠S) and the ratio of the two sides is the same, i.e. SP/SQ = SR/ST
I am greater than 320. You say my number if you start at 324 and count from 10 to 10. I have the same number of tens and ones.
Answer:
344
Step-by-step explanation:
Um..... sorta confusing, but I think you are only allowed to increase by 10 each time, so then you need to add 20 to make 344, where the units digit and tens digit are the same
product of x and 4 is decreased by one-quarter
Answer:
x
Step-by-step explanation:
x times 4 = 4x
4x in 4 quarters: x x x x
One quarter^^ = x
WILL GIVE 100PTS
Find the slope of a line that passes through (-2, -3) and (1, 1).
A. 1 /3
B. 1
C. 2
D. 4/3
Answer:
D
Step-by-step explanation:
Y2-Y1/x2-x-1
Answer:
D
Step-by-step explanation:
Formula for slope is (y2-y1)/(x2-x1).
(1-(-3))/(1-(-2)) = 4/3
Select all the correct answers.
Which statements are true about function g?
Answer:
i need the question
Step-by-step explanation:
Solve the equation.
-9x + 1 = -x + 17
Step-by-step explanation:
-9x + 1 = -x + 17
collect like terms
-9x + x = 17-1
-8x = 16
divide both sides by -8
-8x/-8 = 16/8
x = 2
The library owns 80,000 books. 90% of the books are fiction books. How many fiction books does the library own?
Answer:
72 000 fiction books
Step-by-step explanation:
80000 * 90% = 80000 * 0,9 = 72000
Answer:
The library own 72,000 fiction books.
Step-by-step explanation:
# of fiction books =(total # of books)(% of fiction books)
[tex]B_f=(80,000)(.90)=72,000[/tex]
60% of students at a local high school participate in club activities. Rewrite this percent as a fraction
Answer:
The correct answer is 3/5
Step-by-step explanation:
I know its correct :)
Graph algebra problem! Can anybody help me out as graphs are definitely not my strong suit.
Answer:
f(2) = 5
Step-by-step explanation:
Definitions:Input values = x-coordinates.
The input values are also known as the domain, which is the set of all real numbers. With the domain of a function, you could substitute any real number into a given function for x and produce a valid output.Output values = y-coordinates
The range is the set of all real numbers that depend on the input values plugged into the function. Thus, the range represents the output (y-values) that corresponds to the input values used into the function. Function Notation:In the function notation f(x), f is the function name, and x is your input variable. Output values are also called functional values. You could use any letter to represent a function name, such as g(x), w(x), etc.,.Explanations:This particular question asks for you to identify the corresponding output (y-value) of the given input value, x = 2. If you look at the graph, the x-coordinate, x = 2, corresponds to the y-coordinate of 5.
Therefore, f(2) = 5.
Attached is an edited screenshot of the graph that you posted, where it shows where f(2) = 5 is located on the graph.
Answer:
f(2) = 5
Step-by-step explanation:
The 2 in f(2) means you're looking for the value of the function when x=2.
Find the vertical line that is the 2nd one to the right of the y-axis. Follow it up until you reach the function line (at the top edge of the graph). The y-value there is the value of f(2). That is 5 squares above the x-axis, so ...
f(2) = 5
Micah earns 2 points for every 3 questions he answers correctly on a test. If he answered 24 questions correctly, how many points did he earn?
Answer:
16 points.
Step-by-step explanation:
24*2/3 = 16.
Hope this helped!
*Sorry if I'm wrong, though I think I'm correct.*
Enjoy the rest of your day.
Answer:16
Step-by-step explanation: 24 divided by 3 because it is for every 3 questions. You get 8. He gets 2 points for every 3 questions so 8 times 2 is 16.
7. Juanita is painting her house. She can either
buy Brand A paint and a paint roller tray or
a
Brand B paint and a grid for the paint roller. For
how many gallons of paint would the price for
both options be the same? If Juanita needs 15
gallons of paint, which is the better option?
Step-by-step explanation:
brand a is better option why because we have paint and paint roller
If you buy 1 gallon can of paint both brands will cost $30 and brand B paint is a better option because it costs less.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
Suppose y is the total cost and x is the gallons cases,
The equations according to the given condition are,
y = 27 x + 3
y = 2x +5
The values obtained after solving the above equation will be (1,30). As a result, 1 gallon of paint cost you $ 30.
For condition 2 Juanita needs 15 gallons of paint, x =15
For A, y = 408
For B, y = 380
The brands A and B cost $408 and $380.So the brand costs Juanita more.
Thus, if you buy 1 gallon can of paint both brands will cost $30 and brand B paint is a better option because it costs less.
Learn more about the equation here,
https://brainly.com/question/10413253
#SPJ5
Last month 288 people attended the monthly bingo night. This month 243 people attended bingo night. To the nearest tenth of a percent, what is the percent decrease in attendance from last month to this month? Enter your answer as a decimal in the box. %
Answer:
15.625
Step-by-step explanation:
old number = 288
new number = 243
percent decrease = (old - new / new ) * 100
= (288 - 243 / 288) * 100
= 45 / 288 * 100
= 15.625
Answer:
15.6 (rounded)
Step-by-step explanation:
I took the test
HELOOOOOOO HELPPPPPPPPP
Answer:
e would be 130 because its vertical angles and it has to add up to 180 so f would be 50 im not sure about d yet
Answer:
e = 130º it's a vertical angle
f = 50º it's supplementary to 130º
d = 90º it's a right angle
Select the correct answer from each drop-down menu. The general form of the equation of a circle is 7x2 + 7y2 − 28x + 42y − 35 = 0. The equation of this circle in standard form is . The center of the circle is at the point , and its radius is units.
7 x² + 7 y² - 28 x + 42 y - 35 = 0 /: 7
x² + y² - 4 x + 6 y - 5 = 0
( x² - 4 x + 4 ) + ( y² + 6 y + 9 ) - 4 - 9 - 5 = 0
The equation in the standard form is:
( x - 2 )² + ( y + 3 )² = 18
The center is at the point ( 2, - 3 ).
Its radius is: √18 = 3√2 units.
Answer:
A. (x - 2)^2 + (y + 3)^2 = 18.
B. (2, -3)
C. 3(2^(1/2))
Step-by-step explanation:
The equation of this circle in standard form is (x - 2)^2 + (y + 3)^2 = 18. The center of the circle is at the point (2, -3), and its radius is 3(2^(1/2)) units.
Find the following limit without using a graphing calculator or making a table.
Answer:
Step-by-step explanation:
8 times the sum of 2 and a number that is 32
Answer:
Step-by-step explanation:
d) 8(n+2) = 32
