Answers
Answer:
cos(x)=½
cos(x)=cos(60°)
x=60°
Related Questions
The management team of an amusement park plans new attractions based on the ages of visitors to the park. A survey collects the ages of visitors to the park on two
randomly selected days. The box-and-whisker plots represent the data collected from the survey.
Visitor Ages
Day 2
Day 1
10 14 18 22 26 30 34 38 42 46 50
Age (in years)
Which statement is true?
O Half of the visitors on Day 1 are between 12 and 28 years old, while half of the visitors on Day 2 are between 16 and 20 years old.
Half of the visitors on Day 1 are between 12 and 22 years old, while half of the visitors on Day 2 are between 16 and 24 years old.
O Half of the visitors on Day 1 are between 22 and 28 years old, while half of the visitors on Day 2 are between 20 and 24 years old.
Half of the visitors on Day 1 are between 22 and 32 years old, while half of the visitors on Day 2 are between 20 and 29 years old.
Answers
Because is the most reasonable
Answer:
it is 2
Step-by-step explanation:
Can anyone please explain? Need some help :)
A regular hexagon is inscribed in a circle with a diameter of 12 units. Find the area of the hexagon. Round your answer to the nearest tenth. (there's no picture included)
Answers
Answer:
93.5 square units
Step-by-step explanation:
Diameter of the Circle = 12 Units
Therefore:
Radius of the Circle = 12/2 =6 Units
Since the hexagon is regular, it consists of 6 equilateral triangles of side length 6 units.
Area of the Hexagon = 6 X Area of one equilateral triangle
Area of an equilateral triangle of side length s = \(\dfrac{\sqrt{3} }{4}s^2\)
Side Length, s=6 Units
\(\text{Therefore, the area of one equilateral triangle =}\dfrac{\sqrt{3} }{4}\times 6^2\\\\=9\sqrt{3} $ square units\)
Area of the Hexagon
\(= 6 X 9\sqrt{3} \\=93.5$ square units (to the nearest tenth)\)
Suppose there are 11 freshman, 7 sophomores, 13 juniors, and 15 seniors running for the offices of president, vice president, and secretary. If no person can hold more than one office, in how many different ways could these people be elected to these positions if the president must be a senior and the secretary must be a freshman
Answers
Answer:
7,260 ways
Step-by-step explanation:
Here, we are told that the president must be a senior and the secretary must be a freshman.
Now for the post of President, we have 15 choices to pick from
For the post of secretary, we have 11 choices to pick from
Now the last position, the vice president
Firstly , we have 14 seniors( 1 already president), 10 freshmen(1 already secretary) , 6 sophomores and 13 juniors
So the total number of choices will be;
14 + 10 + 7 + 13 = 44
So the number of ways will be;
44 * 15 * 11 = 7,260 ways
Given that the function graphed is ƒ(x), what is ƒ(4)? A) −2 B) −4 C) −6 D) −8
Answers
Answer: Solution for The graphs of the functions ƒ (x) = cos(x) and g(x) =x are shown to the left. Use the graph to approximate where the two functions intersect.…
Step-by-step explanation:
Answer:
Step-by-step explanation:
(90/5)+(78x34)
90 divided by 5
Answers
2652+18= 2670
Answer: 2670
The quadrilateral DEFG,show. On the coordinate plane below is dilated from the origin by a space factor r= 2/3. Identify the coordinates of the dilated figure D^1 E^1 F^1 G^1 and the draw and label on the coordinate plane
Answers
Resizing or changing an object is the process of dilation. Through the use of the specified scale factor, it is a transformation that reduces or enlarges the objects.
What is Dilation Geometry?The pre-image refers to the original figure and the new figure that results from dilation is known as the image. Two forms of dilation exist:An object's size expands when it undergoes expansion.When an object gets smaller, the process is called contraction.The following illustration, which depicts a square dilating, should be noted. However, the square's shape doesn't change; rather, its size is raised.In mathematics, dilation is the process of modifying an object's or shape's size without altering its shape. The form could be a point, a section of a line, a polygon, etc. It should be noted that while the shape can be altered in size, the proportions of its various dimensions and angles never change.The angles are the same when PQR is increased to P'Q'R. After dilatation, the vertices of the PQR have new coordinates.P(1,3) → P' (3,9) (3,9)
Q(3,1) → Q' (9,3) (9,3)
R(1,1) → R' (3,3) (3,3).
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Simplify the expression: -12^2
Step by step pls
Answers
Answer:
-144
Step-by-step explanation:
-12^2
-(12)^2
-144
You just put -12 to the power of 2, which is 12 times 12 with a negative before it (if it is (-12)^2 the answer will change), with is -144
Answer:
144
Step-by-step explanation:
-12^2
(-12)(-12)
144
y=x^2-2x+7
i need help finding the axis of symmetry,the domain, the y-intercept and x intercept
Answers
The axis of symmetry is at x = 1, the domain is (-∞, +∞), the y-intercept c is at 7 and x intercept is not applying .
Explain about the features of parabolic function?A parabolic function is one that satisfies the formula f(x) = ax2 + bx + c and, when represented graphically in two dimensions, has the shape of a parabola. Any quadratic equation with just a second degree in x is the equation for a parabolic function.
The following characteristics define a basic parabola:
The y-axis, a symmetry axis, is where it is symmetric.At the origin, marking the minimal turning point, y has its minimum value. It is sometimes referred to as the parabola's vertex.The parabola's arms are infinitely long.Thus, from the given graph the value are obtained as:
the axis of symmetry is at x = 1, the domain is (-∞, +∞), the y-intercept c is at 7 and x intercept is not applying .Know more about parabolic function
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SOLVE EACH PROBLEM: 1. Edwin pays tax at the rate of 25% of his income. What fraction of Edwin’s income is this? 2. Vida correctly answered 18 of a 20 item test. Express her score in percent. 3. Today, a runner ran 150% of the distance yesterday. What is 150% in decimal? 4. A map has a scale of 0.5%. Write the scale in decimal? 5. In an inventory-sale, a department store offers 60% off on the original price of their selected clothes. What fraction is taken off the price? 6. In a survey, 250 out of 1000 people said that they preferred a particular brand of shampoo. What is the result of the survey in percent? 7. A student receives 20% discount on jeepney fare, What fraction of the fare is this? 8. What was Eli’s score in the 50-item Math exam if she got 99% correctly? 9. What fraction of the cellphone’s battery is used if the screen says that the remaining battery is 25%? 10. 40% of a school’s population live in shanties near the Pasig river. Write this in decimal form.
Answers
Step-by-step explanation:
1/4
90%
1.5
0.005
6/10
25%
2/10
49.5
3/4
0.4
how to solve this separable differential equation?
Answers
The solution to the differential equation \(2^{\sqrt{x}}\frac{dy}{dx} = cosce(ln(y))\) is,
\(\frac{y sin(ln(y))}{2} - \frac{y cos(ln(y))}{2} = C - \frac{2 ln(2) \sqrt{x} + 2}{ln^2(2)2^{\sqrt{x}}}\).
What is a differential equation?Any equation with at least one ordinary or partial derivative of an unknown function is referred to as a differential equation.
The given differential equation is \(2^{\sqrt{x}}\frac{dy}{dx} = cosce(ln(y))\).
Now, multiplying both sides by dx we,
\(2^{\sqrt{x}}dy = cosce(ln(y))dx\).
Dividing both sides by \(2^{\sqrt{x}}\) we have,
\(sin(ln(y))dy = \frac{dx}{2^{\sqrt{x}}}\).
\(\[ \int sin(ln(y))dy = \int \frac{dx}{2^{\sqrt{x}}}\).
\(\frac{y sin(ln(y))}{2} - \frac{y cos(ln(y))}{2} = C - \frac{2 ln(2) \sqrt{x} + 2}{ln^2(2)2^{\sqrt{x}}}\).
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The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 3, 5,\frac{25}{3},... 3,5, 3 25 ,... \text{Find the 9th term.} Find the 9th term.
Answers
The 9th term of the sequence as described in the task content is; 3 / 390625.
What is the 9th term of the sequence?It follows from the task content that the 9th term of the sequence is to be determined.
As evident in the complete task content;
The first three terms of the sequence are; 3, 3 / 5, 3/25, .......
Therefore, the common ratio, r of the sequence is;
3/25 ÷ 3/5 = 3/5 ÷ 3 = r = 1/5.
Consequently, the common ratio is; r = 1/5.
Recall, the nth term of a geometric sequence is;
a (n) = a(1) r^(n - 1)
Therefore, for the 9th term;
a (9) = 3 (1/5)⁸
a (9) = 3/5⁸
a (9) = 3 / 390625.
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Find the equation of the line with slope m=−12 that contains the point (2,−4).
Answers
Answer:
y=-12x+20
Step-by-step explanation:
-4=-12(2) +b
-4=24+b
(add 24 both sides)
20=b
slope: -12
y intercept: (0,20)
Answer:
y + 4 = -12(x - 2)
Step-by-step explanation:
Use the point-slope formula for the equation of a straight line:
y - k = m(x - h)
Here m = -12, h = 2 and k = -4, and so we have:
y + 4 = -12(x - 2)
Find what minimum population size you need to have if you have a 99% confidence, 100 standard deviation and want a size 3 margin of error
Answers
We require a population size of at least 6644 in order to have a 99% confidence interval with a margin of error of 3 and a standard deviation of 100.
we can use the formula:
n = ( \(z^2\)* σ2) / \(E^2\)
n =\((2.576^2*100^2)3^2\)
n = 6643.08
The population size is rounded up to the next whole number, which is 6644.
Hence, to have a 99% confidence interval with a margin of error of 3 and a standard deviation of 100, we need a population size of at least 6644.
What is Standard deviation?The standard deviation is a metric that reveals how much variance from the mean there is, including spread, dispersion, and spread. A "typical" variation from the mean is shown by the standard deviation. Because it uses the data set's original units of measurement, it is a well-liked measure of variability. When data points are closely spaced from the mean, there is a small variation, and when they are far spaced from the mean, there is a large variation. The standard deviation determines how much the values deviate from the mean. The most popular way to assess dispersion is standard deviation, which is based on all values. Consequently, even a small change in one value can modify the standard deviation's value.
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We require a population size of at least 6644 in order to have a 99% confidence interval with a margin of error of 3 and a standard deviation of 100.
What is Standard deviation?The standard deviation is a metric that reveals how much variance from the mean there is, including spread, dispersion, and spread. A "typical" variation from the mean is shown by the standard deviation. Because it uses the data set's original units of measurement, it is a well-liked measure of variability.
When data points are closely spaced from the mean, there is a small variation, and when they are far spaced from the mean, there is a large variation. The standard deviation determines how much the values deviate from the mean. The most popular way to assess dispersion is standard deviation, which is based on all values. Consequently, even a small change in one value can modify the standard deviation's value.
we can use the formula:
\($\mathrm{n = \frac{z^2 \times \sigma^2 }{E^2} }\)
\($\mathrm{n = \frac{2.576^2 \times 100^ 2 }{3^2} }\)
n = 6643.08
The population size is rounded up to the next whole number, which is 6644.
Hence, to have a 99% confidence interval with a margin of error of 3 and a standard deviation of 100, we need a population size of at least 6644.
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Evaluate
- (-1) + (-7) + (2) - (-4) - (-2)
Answers
Answer:
2
Step-by-step explanation:
may someone please answer this for me
Answers
Answer:
Option D
Step-by-step explanation:
We can multiply the first one by 2 to get 8:20
4:10 × 2 = 8:20
We can divide the second one by 2 to get 8:20
16:20 ÷ 2 = 8:20
We can divide the third one by 3 to get 8:20
24:60 ÷ 3 = 8:20
We can divide the fourth one by 3.5 to get 8:20
28:70 ÷ 3.5 = 8:20
This process of dividing and multiplying was finding equivalent ratios to answer the question.
X+4 is prime. X2-9can be factored using the __formula
Answers
\( \purple \bold{a^2 - b^2} \)
Step-by-step explanation:
X+4 is prime. X2-9can be factored using the \( \purple \bold{a^2 - b^2} \) formula
\( x^2 - 9\\
=x^2 - 3^2 \\
= (x+3)(x-3)\)
Answer: difference-of-squares
next one is (x+3)(x-3)(x+4)
Step-by-step explanation:
just took it on ed genuity :)
Triangle DEF has vertices D(1,1), E(2,0), and F(0,4). It is transformed by a rotation 180 degrees about the origin followed by a dilation with a scale factor of 3. Find the coordinates of the vertices of triangle D”E”F”.
Answers
Check the picture below.
hi pls someone should pls help me with my mathematics pls
Answers
Answer:
i need a clear photo
Step-by-step explanation:
O. A water jug is filled with 128 fluid ounces. Anna
pours out 3 pints of liquid from the jug. How
many pints remain?
A. 5 pints
B. 6 pints
C. 8 pints
D.
11 pints
Answers
Answer:11
Step-by-step explanation:
17. Find the circumference given
KL 4.6 in. Round to the nearest
tenth.
Answers
The circumference of the given circle is approximately 47.3 inches.
Since the length of the arc KL and the measure of the central angle ∠KOL are known, we can use the formula for arc length to find the circumference of the circle:
arc length = (central angle / 360°) x circumference
Plugging in the known values, we have:
4.6 in = (35° / 360°) x circumference
Solving for the circumference, we get:
circumference = 4.6 in / (35° / 360°)
circumference = 4.6 in x (360° / 35°)
circumference ≈ 47.3 in (rounded to the nearest tenth)
Therefore, the circumference of the circle is approximately 47.3 inches.
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I need help with these pls
Answers
PLEASE HELP ME ITS DUE TODAY!!!
Answers
4. RSTU is a trapezoid because the opposite sides RS and UT are parallel.
5. RSTU is not an isosceles trapezoid because the diagonals are not congruent.
How to verify that RSTU is a trapezoid?In order to verify that RSTU is a trapezoid, we would have to determine slope of the pair of opposite sides and check whether at least one pair of opposite sides are parallel;
RU ║ ST
Slope of side RU = Slope of side ST
Slope of RU = (y₂ - y₁)/(x₂ - x₁)
Slope of RU = (1 + 3)/(5 + 3)
Slope of RU = 4/8
Slope of RU = 0.5.
Slope of RS = (y₂ - y₁)/(x₂ - x₁)
Slope of RS = (-9 + 3)/(-4 + 3)
Slope of RS = -6/-1
Slope of RS = 6.
Slope of ST = (y₂ - y₁)/(x₂ - x₁)
Slope of ST = (-2 - 1)/(10 - 5)
Slope of ST = -3/5
Slope of ST = -0.6.
Slope of UT = (y₂ - y₁)/(x₂ - x₁)
Slope of UT = (-2 + 9)/(10 + 4)
Slope of UT = 7/14
Slope of UT = 0.5.
Therefore, RSTU is a trapezoid because the opposite sides RS and UT are parallel.
Question 5.
In order to determine whether RSTU is an isosceles trapezoid, we would have to determine length of the diagonals by using the distance formula and check whether they are congruent;
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Distance RT = √[(-2 + 3)² + (10 + 3)²]
Distance RT = √170 units.
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Distance US = √[(5 + 4)² + (1 + 9)²]
Distance US = √181 units.
Therefore, RSTU is not an isosceles trapezoid because the diagonals RT and US are not congruent.
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100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
Answers
Answer:
20. A. 357.8 in³
B. 1231.5 yd³
Step-by-step explanation:
20.
A.
Volume of Pyramid : ⅓*base area * height
here,
Base area = area of rectangle=length*breadth =10*8=80in²
Now
Height can be calculated by using Pythagorous theorem
height =\(\sqrt{(slant\: height)^2-(\frac{breadth}{2})^2}\)
height =\(\sqrt{14^2-(\frac{8}{2})^2}=\sqrt{196-16}=\sqrt{180}=13.42 in\)
height =13.4 in
Now
Volume of pyramid = ⅓*base area *height
Volume of Pyramid=⅓*80*13.42
Volume of Pyramid=357.8 in³
B.
Volume of cone = ⅓*area of base* height
Here
slant height=24 yd
height =?
diameter=14yd
radius =14/2=7 yd
Let's find the height:
By using the Pythagorous theorem,
slight height²=radius²+height²
substituting value
25²=7²+height²
height²=25²-7²
height =\(\sqrt{576}\)=24 yd
Now
Area of Base= πr²=π*7²=153.94 yd²
Now
Volume = ⅓*area of base*height =⅓*153.94*24=1231.5 yd³
So,
Volume of cone is 1231.52 yd³.
According to one source, the average cumulated college student loan debt for a graduating senior is $29,400. Assume that such debt is normally distributed and that the standard deviation is $5,684. Thirty percent of these graduating seniors owe more than what amount?
Answers
Answer:
$32378.416
Step-by-step explanation:
We are asked to find: Thirty percent of these graduating seniors owe more than what amount.
More than 30% = Finding the z score of the 70% percentile.
The z score = 0.524
Hence, using z score formula:
z = (x-μ)/σ
0.524 = x - $29,400/$5,684
0.524 × 5684 = x - 29400
2978.416 = x - 29400
x = 29400 + 2978.416
x = $32378.416
Therefore, Thirty percent of these graduating seniors owe more than what amount $32378.416.
Which of the following options is the most likely reason for a relationship having a strong correlation, but without any causation? Presence of lurking or confounding variables Presence of a strong Absence of an experiment None of the above
Answers
Option (A) presence of lurking or confounding variables is the most likely reason for a relationship having a strong correlation, but without any causation.
Correlation only shows the strength and direction of a linear relationship between two variables and does not necessarily indicate causation. Lurking variables are those that are not included in the analysis but still affect the relationship between the two variables being analyzed. Confounding variables are those that are related to both the independent and dependent variables, which can lead to a spurious correlation.
Therefore, the presence of lurking or confounding variables can create a strong correlation between two variables without there being a causal relationship between them. Options (B) and (C) can lead to strong correlations, but they do not explain the absence of causation.
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The correct answer is :
Which of the following options is the most likely reason for a relationship having a strong correlation, but without any causation?
(A)Presence of lurking or confounding variables
(B)Presence of a strong r
(C)Absence of an experiment
(D)None of the above
A car dealership decreased the price of a certain car by 4% . The original price was $39,200.
Answers
Answer:
37,632
Step-by-step explanation:
Subtract 4% from 39,200 and you'll get 37,632
Bethany has a photo website where she places photos that she has taken so others can see them. Below is how many likes each of her current photos were given: 10, 13, 15, 15, 17, 29 What is the average amount of likes each of her photos got? Hint: The average is your mean. 22 15 15.5 16.5
Answers
The average number of likes will be 16.5. the correct option is D.
What is a mean?Mean is defined as the ratio of the sum of the number of data sets to the total number of data. The mean is calculated by adding all the data points and dividing it by the total number of the data.
Given that Bethany has a photo website where she places photos that she has taken so others can see them. Below is how many likes each of her current photos was given: 10, 13, 15, 15, 17, 29.
The average will be calculated as:-
Mean = ( 10 + 13 + 15 + 15 + 17 + 29 ) / 6
Mean = 99 / 6
Mean = 16.5
Therefore, the average number of likes will be 16.5. the correct option is D.
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The base of this solid crate has an area of 6 square meters. The
height of the crate is 4 meters. What is the volume of the crate?
Answers
if the area is 6 that means the square is 2 x 3. 2 x 3 x 4. that equals 24.
let me know how you did !
Answer:24 cubic meters
Step-by-step explanation:
Please help ASAP, marking brainliest if correct!
Answers
Answer:
option 4
Step-by-step explanation:
the total interior angle of a triangle adds up to 180º. you're given it's a right triangle (90º) and the angle B, 21º. Add those up and you get 111º. 180º-111º=69º, angle C.
You baked a total of 270 cookies for your school using three shapes:
stars, circles, and hearts. You have four times as many stars as
circles. The number of hearts is ten less than five times the number
of circles. How many hearts are there?
Answers
Answer: They are only 5 heart remaining.
Step-by-step explanation: