Given:
The value is [tex]\dfrac{\sqrt{2}}{2}[/tex].
To find:
The values from the given options which are equal to the given value.
Solution:
We have,
[tex]\dfrac{\sqrt{2}}{2}[/tex]
It can be written as:
[tex]\dfrac{\sqrt{2}}{2}=\dfrac{1}{\sqrt{2}}[/tex]
From the standard trigonometric table, we get
[tex]\sin 30^\circ=\dfrac{1}{2}[/tex]
[tex]\sin 45^\circ=\dfrac{1}{\sqrt{2}}[/tex]
[tex]\cos 45^\circ=\dfrac{1}{\sqrt{2}}[/tex]
[tex]\cos 60^\circ=\dfrac{1}{2}[/tex]
[tex]\tan 30^\circ=\dfrac{1}{\sqrt{3}}[/tex]
[tex]\tan 45^\circ=1[/tex]
From the above values it is clear that the value of [tex]\sin 45^\circ [/tex] and [tex]\cos 45^\circ [/tex] are equal to [tex]\dfrac{1}{\sqrt{2}}[/tex].
Therefore, [tex]\sin 45^\circ [/tex] and [tex]\cos 45^\circ [/tex] and equal to [tex]\dfrac{\sqrt{2}}{2}[/tex]. So, options B and C are correct.
Charley's grade in the three quarters are 85, 88, and 92. If she targets to have an average
grade of greater than 90 in the four quarters this school year, what is the least grade she
should have for the fourth quarter?
Step-by-step explanation:
We can set up an average equation in the form, where x is the last score in the fourth quarter:
[tex]\frac{85 + 88 + 92 + x}{4} = 90[/tex]
[tex]85 + 88+92 + x =360\\\\x = 95[/tex]
She needs at least a 95 on the last quarter to average 90 in all four quarters.
PLSSSSS HELP PLS QUICKLY PLS
Answer:
-64
Step-by-step explanation:
we should put -2 for j and -1 for k,
Answer:
the answer is 64
The PTA needs to know about how many parents will be coming to the March fundraiser. Which is the BEST method to use to estimate the number?
A) Send a survey home with each student.
B) Ask the parents who are at the February meeting.
C) Use the total number of students enrolled in the school.
D) Ask the students if their parents will be at the fundraiser.
Answer:
A or b
Step-by-step explanation:
Help brainliest question!!!
Answer:
The second option
Step-by-step explanation:
Since root 16 is an integer (4), the second option produces the fraction 4/5 which is rational.
The given dot plot represents the average daily temperatures, in degrees Fahrenheit, recorded in a town during the first 15 days of September. If the dot plot is converted to a box plot, the first quartile would be drawn at , and the third quartile would be drawn at .
Answer:
Q1 = 61
Q3 = 63
Step-by-step explanation:
From the plot attached :
Data obtained is :
Temperature frequency
59 0
60 2
61 3
62 3
63 4
64 2
65 1
Frequency Total 15
Data in raw format :
60,60,61,61,61,62,62,62,63,63,63,63,64,64,65
The first quartile :
Q1 = 1/4(n+1)th term
n = 15
Q1 = 1/4(15+1)th term
Q1 = 1/4 * 16th
Q1 = 4th term
Q1 = 61
Third quartile (Q3):
Q3 = 3/4(n+1)th term
n = 15
Q3 = 3/4(15+1)th term
Q3 = 3/4 * 16th
Q3 = (48/4)th term
Q3 = 12th term
Q3 = 63
Answer:
Q1 is 61 and Q3=63
Which of the following is an equation of the circle with a center at (-1,4) and a radius of 2√5 units? plss pahelp naman
A. x²+ y²+2x-8y-3=0
B. x²+y²-2x-8y+3=0
C. x²+y²+2x+8y-3=0
D. x²+y²-2x+8y+3=0
Answer:
Option A
Step-by-step explanation:
The standard form of an equation of a circle is represented by the formula [tex](x-h)^2+(y-k)^2 = r^2[/tex]. Remember that [tex](h,k)[/tex] is the center and [tex]r^2[/tex] is the radius squared.
So, the equation of the circle must be [tex](x+1)^2 +(y-4)^2 = 20[/tex]. Complete the square to change the form of the equations listed in the options and find the one that is equal.
Let's try this with option A. Move the constants to the right side, then use the completing the square method to place the equation in standard form:
[tex]x^2 + y^2 +2x -8y -3 = 0\\x^2 + y^2 +2x-8y = 3\\x^2 + 2x +y^2-8y = 3\\(x^2 +2x+1)+(y^2-8y +16)=3+1+16\\(x+1)^2 + (y-4)^2=20[/tex]
The end result matches with the equation determined before, so option A is the answer.
Find the height of a triangle with a base of 6.4 meters and an area of 22.4 square meters
Answer:
Its height would be 7 meters.
Write an equation for each line in Slope-Intercept Form
Answer:
Y = 4/3 - 1
Step-by-step explanation:
(3, 3) (0, -1)
m = 3+1/ 3-0
4/3 is the slope
In 0.98, In which place is the 8?
Answer:
hundredths place
Step-by-step explanation:
hope this helps
Answer:
hundredths' place
Step-by-step explanation:
The first digit after the decimal represents the tenths place. (In this case, it's 9) The next digit after the decimal represents the hundredths place. In this case, it's 8 !
What's the slop and y intercept of 4y = 2x - 12
Answer:
slope: [tex]\frac{1}{2}[/tex]
y-intercept: (0,-3)
Step-by-step explanation:
First, place the equation in slope-intercept form to identify the slope and y-intercept easily. Isolate the y in the equation to do this:
[tex]4y = 2x-12\\\frac{4}{4} y = \frac{2}{4} x-\frac{12}{4} \\y = \frac{1}{2} x-3[/tex]
Now that the equation is in slope-intercept form, it is much easier to find the slope and y-intercept of the equation. Remember that the slope-intercept formula is [tex]y = mx + b[/tex].
In an equation written in slope-intercept form, the [tex]m[/tex], or the coefficient of the x-term, represents the slope. So, the slope of his equation is [tex]\frac{1}{2}[/tex]. Also, the [tex]b[/tex], or the constant on the right side of the equation, represents the y-intercept. So, the y-intercept of this equation is (0,-3).
Find the midpoint of points A(9, -2) and B(-1,8) graphically.
Answer:
the midpoint is (4,3)
Step-by-step explanation:
Write an explicit formula for the geometric sequence below and use it to find the 9th term. 256, 64, 16, 4, . . .
im doing this problem right now---
ok so a1=256 a2=64 a3=15 a4=4... find a9
the sequence divides by 1/4 every term
an=a1*r^n-1
an=(256)*(1/4)^n-1
replace n with 9
A9=(256)*(1/4)^9-1
A9=(256)*(1/4)^8
=(256)*(1/4)
A9=64^8
1/256 or a9= 0.00390625
The daily cost of hiring a plumber, y, to work x hours on a repair project can be modeled
using a linear function. The plumber charges a fixed cost of $80 plus an additional cost of
$45 per hour. The plumber works a maximum of 8 hours per day.
For one day of work, what is the range of the function for this situation?
A0
B 80
C 0
D 45 < < 685
Answer:
i have the same question
Step-by-step explanation:
i have the same question
Which statement about isosceles triangles is true?
A. all isosceles triangles are equilateral triangles
B. isosceles triangles do not have three side lengths
C. all isosceles triangles have one angle that is equivalent to
D. not all isosceles triangles are also classified as equilateral triangles
9
1 point
Karla needs a box to pack her fish tank shown below. How many square feet of cardboard does she need to buy?
5
4 ft
6
2ft
6 ft
7
56 ft2
48 ft2
8
Ο Ο Ο Ο.
32 ft2
88 ft
Next
10
Previous
Answer:
give the full questions
Help me TwT I’m so confused
Answer:
Hello! It would be, A) two solutions
Step-by-step explanation:
Hope I helped! Brainiest plz! Have a nice day!♥ Hope you make a 100% -Amelia
Solve the problem and enter your answer below.
What is 62% of 29?
Find the value of x. Round to the nearest tenth. Assume that segments appearing to be tangents are tangent to the circle.
Answer:
x=8.4Step-by-step explanation:
[tex](2x)^{2} +12.6^{2} =21^{2} \\\\4x^{2} +158.76=441\\\\4x^{2}441-158.76\\\\4x^{2} =282.24\\\\x^{2} =70.56\\\\x=8.4[/tex]
hope it helps....
have a great day :)
-x + 2y = 6
4y - 2x = 11
-x + 2y = 6
x=− 6+2y
4y - 2x = 11
4y-2(-6+2y)=11
4y+12-4y=11
12=11
no solution
Are the following figures Congruent, and similar? I need help please.
Answer:
1. possibly congruent
2. possibly congruent
3. congruent
4. similar
Step-by-step explanation:
It is impossible to tell for the first two. In order to be congruent they must have the measurements (lengthes& angles) for all coordinating sides and angles. Since we don't have that info we can only guess and since the look exactly the same we can guess they are congruent.
The third one being on the graph we can tell these are congruent.
the fourth one is obviously not congruent because the side lengths are different. We are guesing that the coordinating angles are congruent
the question did not give enough information to properly answer the questions with confidence
I tried this problem out but I’m not sure if I’m right also this is a test worth 100 points can someone show me if u made any mistake can j explain also ?
Answer:
Median without outlier should be 40
For the bottom questions, it should go:
Decreases the mean, does not change the median, does not change the mode
It's decreasing the mean because it goes from 44.7 to 39
Median w/ and without outlier is both 40
Mode also stays the same w/ or without the outlier, which is 96
The line segment between (9,6) and (-2,-1) is bisected at (3.5,2.5). Find the y-intercept of the perpendicular bisector.
Ans: y-intercept = (0, _____)
Answer:
Y-intercept is (0,8)
Step-by-step explanation:
Firstly, we need to get the equation of the line segment
We have the general equation as;
y = mx + b
m is the slope and b is the y-intercept
So for the slope between (9,6) and (-2,-1); we have
m = (y2-y1)/(x2-x1)
m = (-1-6)/(-2-9) = -7/-11 = 7/11
Mathematically, when two lines are perpendicular, their slopes have a product of -1
Let the slope of the second line be m
m * 7/11 = -1
7m = -11
m = -11/7
The equation of the second line is;
y = mx + b
y = -11x/7 + b
The line passes through the point (3.5,2.5)
So,
2.5 = -11/7(3.5) + b
2.5 = -5.5 + b
b = 2.5 + 5.5
b = 8
so the y-intercept of the perpendicular bisector is 8
Simplify the expression.
(–8x) • 3x2
A. –5x3
B. –24x2
C. –24x3
D. –5x2
Answer:
-48 b
Step-by-step explanation:
Can someone really help me please
Answer:
1-B, 2-B, 3-B, 4-B, 5-A
HELPP ME PLEASEEE ITS DUE TODAY!!!!
Answer:
c= 3/4 but in decimal form it will be 0.75
Step-by-step explanation:
Answer:
The answer is 3/4.
Check the pic for explanation
thank you:)
if it is correct please mark me brainliest
pls help me out! how do you determine the period of the graph?
Answer:
4π
Step-by-step explanation:
Periodic graphs repeat the same pattern. Here we have a cosine function which clearly repeats itself. Start at (0, 1) and count the number of squares to the right before the graph looks the same; this occurs at (4π, 1). x has increased from 0π to 4π. Thus, the period is 4π.
What is the shortest possible perimeter for an arrangement with an area of 15 square feet? Please get me the answer as soon as possible!!!!!!!!!!!
Answer:
The shortest possible perimeter is: [tex]4\sqrt{15}[/tex]
Step-by-step explanation:
Given
[tex]A = 15[/tex] --- area
Required
Find the shortest possible perimeter
Area is calculated as:
[tex]A=l * b[/tex]
This gives:
[tex]l * b = 15[/tex]
Make l the subject
[tex]l=\frac{15}{b}[/tex]
Perimeter is calculated as:
[tex]P =2(l + b)[/tex]
Substitute [tex]l=\frac{15}{b}[/tex]
[tex]P =2(\frac{15}{b} + b})[/tex]
Rewrite as:
[tex]P =2(15b^{-1} + b)[/tex]
Differentiate and minimize;
[tex]P' =2(-15b^{-2} + 1)[/tex]
Minimize by equating P' to 0
[tex]2(-15b^{-2} + 1) = 0[/tex]
Divide through by 2
[tex]-15b^{-2} + 1 = 0[/tex]
[tex]-15b^{-2} = -1[/tex]
Divide through by -1
[tex]15b^{-2} = 1[/tex]
Rewrite as:
[tex]\frac{15}{b^2} = 1[/tex]
Solve for b^2
[tex]b^2 = \frac{15}{1}[/tex]
[tex]b^2 = 15[/tex]
Solve for b
[tex]b = \sqrt{15[/tex]
Recall that: [tex]P =2(\frac{15}{b} + b})[/tex]
[tex]P = 2 * (\frac{15}{\sqrt{15}} + \sqrt{15})[/tex]
[tex]P = 2 * (\sqrt{15} + \sqrt{15})[/tex]
[tex]P = 2 * (2\sqrt{15})[/tex]
[tex]P = 4\sqrt{15}[/tex]
The shortest possible perimeter is: [tex]4\sqrt{15}[/tex]
find the volume of the sphere. leave your answer in terms of pi
r=4
Answer:
To find an answer in pi square the radius and multiply by pi
Step-by-step explanation:
To
find volume of a sphere = 4/3Πr³
Answer =17,164.2pi Am not sure but i hope its correct.
Brad says 24 ÷ 3 is the same as 3 ÷ 24 because the commutative property works for multiplication, and multiplication and division are related. Cheryl says the order does matter, so 24 ÷ 3 is not the same as 3 ÷ 24. Who do you agree with? Justify your reasoning.
Answer:
I agree with Cheryl.
24 ÷ 3 = 8
3 ÷ 24 = [tex]\frac{1}{8}[/tex]
Commutative property works for multiplication because when you multiply two numbers, you have repeated addition. No matter which way you add up the numbers, you will get the same result. When you divide, you are breaking up a certain number by a certain number. If they are not the same number, you will get a different result.
What is the y-intercept of the line?
A: -2
B: 0
C: 1
D: 1/2
Answer:
C: 1
this answer is c because the line is one the Y intercept of 1