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.
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The ratio of boys to girls in the class is 4 to 5. If there are 18 boys and girls in the
class, how many of each are there?
Answer:
8 boys and 10 girls
Step-by-step explanation:
If the ratio is 4:5,
4x2 + 5x2 equal 8+10 =
18.
4:5=8:10
Answer:
8 boys
10 girls
Step-by-step explanation:
4:5
8:10
8+10=18
What is the equation of a line that is parallel to the line 2x + 5y = 10 and passes through the point (–5, 1)? Check all that apply. In addition to the Privileges and Immunities Clause, Article IV, Section 2 includes the
Hello!
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2x+5y=10
We want to turn this equation into y=mx+b form:
5y=-2x+10
Divide both sides by 5:
y=-2/5x+2
Now, the equation of the line parallel to it:
Remember, parallel lines have the same slope.
So these two lines have the same slope (-2/5)
Now, use Point-Slope form:
y-y1=m(x-x1)
y=1=-2/5(x-(-5)
y-1=-2/5(x+5)
y-1=-2/5x-2
y=-2/5x-2+1
y=-2/5-1
Hence, this is the required solution. I hope you find it helpful!
~SparklingFlower
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Help pls I have no clue what this is
Answer:
b = 76°
Step-by-step explanation:
Angle JIK is the smaller acute angle in one of four congruent right triangles. Angle GHK is the larger acute angle in those triangles, marked as 60°. The sum of the acute angles in a right triangle is 90°, so you have ...
60° +(b-46)° = 90°
14° +b = 90° . . . . . . . simplify
b = 76° . . . . . . . subtract 14°
HELP ME OUT PLEASE
Which equation could represent the relationship shown in the scatter plot?
A) y = -3x - 2
B) y = 9x -1/2
C) y = -3/4x + 10
D) y = -2/3x + 1
Answer:
C) y = -3/4x + 10
Step-by-step explanation:
Slope is negative and its value (-3/4) can be determined from the line.
The line crosses the axis of ordinates at y = 10, when x = 0. If you substitute x for 0 in y = -3/4x + 10, y = 10. This corresponds to the line drawn in scatter plot.
What is the surface of this shape
Answer:
Find the area of all of the different shapes (2D)
and then add them up together to find the surface area.
3×2
6×2
6×2
5×3
6×3
1×3
1×4
1×4
4×3
Then you add them up together.
6+12+12+15+18+3+4+4+12=ANS.
Complete the table for the provided graph.
What are the slope and y-intercept of this function? A. The slope is 4. The 9y-intercept is (0,3). B. The slope is -1/4.The y-intercept is (0,3). C. The slope is 1/4 .The y-intercept is (0,3). D. The slope is 4 .The y-intercept is (3, 0).
Answer:
C
Step-by-step explanation:
pls answer fast
Write an equation of the line that passes through (0, -5) and is perpendicular to the line y =-4/5x
Answer:
I am pretty sure its y={5}/{4}x-5
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
There are 13 books on a shelf. 7 of these books are new. The rest of them are used.
Answer:
6 of them are used books
Step-by-step explanation:
6+7=13. 7 new book and add 6 more book that will be used, it will equal out in addition = 13
WILL GIVE BRAINLIEST
(x + 6) in
(3x + 2) in
12 in
The perimeter of this triangle is___in.
Answer:
28 inches
Step-by-step explanation:
To find the value of x you put them into an equation of: (x+6) = (3x+2), this would let you find that x=2, since 2+6 = 6+2. Once you've plugged that in all you need to do is add together all the sides, and since side A and side B are both 8 you do 12+16 to get the perimeter of 28 inches.
helppppppppp
what is -12x<60
Answer:
x > -5
Step-by-step explanation:
-12x < 60
To solve the equation for x, we want x to be by itself on one side. Let's start by dividing both sides by -12:
-12x/-12 < 60/-12
When dividing or multiplying by a negative number, we have to turn around the inequality sign, so now we have:
x > 60/-12
And 60/-12 = -5, so:
x > -5
Find fraction and a decimal between 0.66 and 3/4 .the fraction and decimal should be two different numbers
Answer:
Step-by-step explanation:
0.66=66/100 3/4=75/100
fraction between
67/100 68/100 69/100 70/100 71/100 72/100 73/100 74/100
or or or or
17/25 7/10 18/25 37/50
decimal between
0.67 0.68 0.69 0.70 0.71 0.72 0.73 0.74
HOW DO I FIND QR
PLEASE HELP
Solution: For finding QR we need to apply Pythagoras Theorem
What is Pythagoras Theorem ?
ans : Pythagoras Theorem is the sum of square of two sides which is equal to the third side or the hypotenuse. This formula is valid oy incase of Right-Angled Traingle because one of three angles here is 90°
According to this law let's apply it in the diagram shown here.
(Hypotenuse)² = (Adjacent)² + (Opposite)²(PR)² = (QR)² + (PQ)² (5x - 2)² = (QR)² + (3x - 1)² (QR)² = (5x - 2)² - (3x - 1)²After factorising both of them we get
(QR)² = 25x² - 20x + 4 - (9x² - 6x + 1)(QR)² = 25x² - 20x + 4 - 9x² + 6x - 1(QR)² = 16x² - 14x + 3QR = √(16x² - 14x + 3)So, QR is √(16x² - 14x + 3)
The mean monthly rent of students at Oxnard University is $770 with a standard deviation of $239. John's rent is $1275. What is his standardized z-score?
Strawberries cost $3.00 per pound. For each question
a.
How many pounds of strawberries can you buy for $1.00?
b.
How many pounds of strawberries can you buy for $11.0
Answer:
A. 1/3 pound
B. 11/3 or 3.666666667
Step-by-step explanation:
:)
Q5). If A={3,4} B= {2,3,4} C={3,4,5} then find (BxB) ∩ (CxC)
Step-by-step explanation:
Given that
A = {3,4}
B = { 2,3,4}
C ={3,4,5}
BXB = {2,3,4}×{2,3,4}
⇛ {(2,2),(2,3),(2,4),(3,2),(3,3),(3,4),(4,2),(4,3),(4,4)}
and
CXC = {3,4,5}X{3,4,5}
⇛ {(3,,3),(3,4,)(3,5),(4,3),(4,4),(4,5),(5,3),(5,4),(5,5)}
Now
(BxB) n(CxC)
⇛ {(2,2),(2,3),(2,4),(3,2),(3,3),(3,4),(4,2),(4,3),(4,4)} n
{(3,,3),(3,4,)(3,5),(4,3),(4,4),(4,5),(5,3),(5,4),(5,5)}
⇛ {(3,3),(3,4),(4,3),(4,4,)}
Additional comment:
AxB is the Cartesian product of the two sets A and B on which (a,b) form a belongs to A and b belongs to BAnB is the set of Common elements in both A and B8.) The grocery store is having a sale on frozen vegetables. 4 bags are being sold for $11.96. At this rate, what is the cost of:
a) 1 bag
b) 9 bags
Answer:
a) $2.99
b) $26.91
Step-by-step explanation:
Since 4 bags cost $11.96, you can find the price of an individual bag by dividing $11.96 by 4.
Since
$11.96 / 4 = $2.99
One bag costs $2.99
To find the price of 9 bags, just multiply 2.99$ by 9:
$2.99 * 9 = $26.91
PLEASE HELP>>>>>
25 POINTS...................
Answer:
y = 2/3x - 9
Step-by-step explanation:
note the slope, then note the y intecept, then plug it into the equation y = mx+b
Answer:
So its d
Step-by-step explanation:
Y intercept is 6, and the slope is 3/2. hope i help! And if it isn't that, its c
The perimeter of a rectangle is 40 inches. If the width of the rectangle is 7 inches, what is the length?
Answer:
l=13in
Step-by-step explanation:
hope this helps
Answer:
13
Step-by-step explanation:
(40-7*2)/2=20-7=13
Which could be the first 4 terms of an arithmetic sequence ?
10. If pointer 1 is spun and then pointer 2 is spun, determine the probability of landing on a color other than red on both spins. The probability is (Type an integer or a simplified fraction.)
Answer:
Answer below
Step-by-step explanation:
1/8 is correct
in pic
_________________________________________
(Hope this helps can I pls have brainlist (crown)☺️)
Please look at picture for question.
Answer:
[tex]\frac{-1}{5}m -\frac{4}{5}[/tex]
Step-by-step explanation:
Combine the like terms (2/5) and (-3/5) m
This will give you -1/5
place the remainder of the equation.
if you like my answer, please mark me brainliest !! thanks !! <3
Extra Points and Brainliest Award if answered!!!!
Gerald is testing to see if a possible rational root is an actual rational root of a polynomial. He uses synthetic division to determine the value of the remainder.
Which theorem is he using to test the value?
A. Linear Factorization Theorem
B. The Fundamental Theorem of Algebra
C. The Factor Theorem
D. The Remainder Theorem
Answer:
its C.
Step-by-step explanation:
please mark me brainlists
Gerald used the factor theorem to test the value. Therefore, option C is the correct answer.
Given that, Gerald is testing to see if a possible rational root is an actual rational root of a polynomial.
What is Synthetic Division?Synthetic division is a method used to perform the division operation on polynomials when the divisor is a linear factor. One of the advantages of using this method over the traditional long method is that the synthetic division allows one to calculate without writing variables while performing the polynomial division, which also makes it an easier method in comparison to the long division.
The factor theorem states that if f(x) is a polynomial of degree n greater than or equal to 1, and 'a' is any real number, then (x - a) is a factor of f(x) if f(a) = 0. In other words, we can say that (x - a) is a factor of f(x) if f(a) = 0.
Therefore, option C is the correct answer.
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which of the following is a multiple of 2
A. 2461
B. 1000
C. 75
D. 847
the answer is B. 2*500
1000
This is the answer
Step-by-step explanation:
Because it has 0 at the last
and 0 is divisible by 2
The only number that is a multiple of 2 among the given options is B. 1000.
To determine which of the given numbers is a multiple of 2, we need to check if the number is divisible by 2 without leaving a remainder. In other words, if a number is even, it is divisible by 2.
Let's examine each option:
A. 2461: This number is not divisible by 2 since it ends in 1, which makes it an odd number.
B. 1000: This number is divisible by 2 because it ends in 0. Even numbers always end in 0, 2, 4, 6, or 8.
C. 75: This number is not divisible by 2 because it ends in 5, which is an odd number.
D. 847: This number is not divisible by 2 since it ends in 7, which makes it an odd number.
Therefore, the only number that is a multiple of 2 among the given options is B. 1000. It is divisible by 2 and is an even number.
Knowing whether a number is a multiple of 2 is important in various mathematical and computational operations, such as determining divisibility, performing parity checks, and optimizing algorithms that involve even numbers.
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The sum of two numbers is right one number is for less than the number find the numbers
Step-by-step explanation:
you made a lot of typos in the text.
I assume your meant the following :
the sum of two numbers is eight.
one number is four less than the other number.
the numbers : x, y
x + y = 8
x = y - 4
we use the second equation in the first :
y - 4 + y = 8
2y - 4 = 8
2y = 12
y = 6
x = y - 4 = 6 - 4 = 2
An experiment is conducted examining the effects of a new type of toothpaste on reducing cavities. Individuals in the treatment condition are given the new toothpaste; individuals in the control condition are given the standard toothpaste, but are told that they're receiving the new toothpaste. At the end of the experiment, the control group participants demonstrate a slightly higher decline in cavities. This is an example of a(n):____.
a. Wording bias.
b. Voluntary response bias.
c. Over-sampling effect.
d. Placebo effect.
d. Hawthorne effect.
The experimental effect highlighted by the scenario described would most likely be an example of placebo effect.
An observed change in the control group which are being given the placebo would have been triggered due to psychological expectation based on the information given. Hence, this is called the placebo effect. The standard toothpaste was not suppose to cause decline in cavities, however, since the group have been told that they we given the new toothpaste which is said to reduce cavities, this could trigger a psychological change hence causing them to have higher cavity decline.Learn more : https://brainly.com/question/25704508
Please take a look at the picture
Answer:
A and B
Step-by-step explanation:
They both have the same numbers and at least one of the given numbers is negative.
Hope this helps :)
Help help help help hell
Answer:
m = N - f
Step-by-step explanation:
The original equation:
N = m + f
if we have to solve for m, then we have to isolate it, so subtract f from both the sides and that would be the answer.
Hope this helps!
Can somebody answer this with A ANSWER and not sum else whoever does I will give brainiest
Answer:
911,250
Step-by-step explanation:
4050 · 225 = 911,250