Find the length of side xx in simplest radical form with a rational denominator. 3
Answers
The length of x is 6 in simplest radical form.
What is a right-angled triangle?'A triangle in which one of the interior angles is 90° is called a right-angled triangle. The longest side of the right triangle, which is also the side opposite the right angle, is the hypotenuse and the two arms of the right angle are the perpendicular and the base.'
According to the given ,
Perpendicular = 3
Hypotenuse = x
We know,
sin∅ = 3/x
∅ = 30°
⇒ sin30 = 3/x
⇒ 1/2 = 3/x [ sin30 = /2 ]
⇒ x = 3 * 2
⇒ x= 6
Hypotenuse = 6
Applying Pythagoras theorem:
Hypotenuse² = Perpendicular² + Base²
6² = 3² + Base²
6² - 3² = Base²
Base² = 25
Base = √25
Base = 5
We can conclude the value of x to be 6.
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Related Questions
why do the hands on the clock form an angle?
Answers
Answer:
The entire clock measures 360 degrees. As the clock is divided into 12 sections. The distance between each number is equivalent to 30 degrees (360/12)
I hope this helps you!
which expression is 6 groups of 4?
Answers
Answer:
6x4=24
Step-by-step explanation:
nts
Insurance companies are interested in the average health costs each year for their dients, so that they can
determine the costs of health insurance. Match the vocabulary word with its corresponding example.
All of the insurance company's dients
The cost each year for health care
The average health care cost each year for all of the insurance company's dients
The average health care cost each year for the 400 dients that the insurance company
included in this study
The 400 dients that the insurance company included in this study
The list of the 400 annual health care costs for the dients that the insurance company
indude in the study
a. Parameter
b. Population
c. Sample
d. Statistic
e. Data
of Variable
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All of the clients of the insurance company are the population, and the parameter is the annual average cost of health care for all of the clients of the insurance company.
what is variable ?A variable in mathematics is a word or an alphabet that stands in for an unknowable quantity, value, or number. In the context of algebra or algebraic expression, the variables are employed specifically. Consider the linear equation x+9=4, which has 9 and 4 as constants and uses x as a variable. There are many variables, including height, age, wealth, province of birth, academic standing, and kind of dwelling. The independent variable is often plotted on the x-axis whereas the dependent variable is typically plotted on the y-axis. The independent variable's value also determines
given
Information: The 400 clients' annual health care costs that the insurance provider included in the analysis.
-Variable: The expense of health care per year
400 clients were used as a sample in this study by the insurance business.
The insurance provider included 400 consumers in this survey, providing statistics on the average annual cost of health care for each of them.
-Parameter: The annual average cost of health care for all customers of the insurance provider.
All of the clients of the insurance company are the population, and the parameter is the annual average cost of health care for all of the clients of the insurance company.
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Can someone help me? It would mean the world if u helped me have a nice day! <3
Answers
Answer:
4500 ml kkkkkkkkkkkkkkkkkk
Then divide 4500 by 1000 because 1000 ml is a liter.
Can y’all help me on question 16?!
Answers
explanation: plug in one of the x’s into the equation and solve for z. You will see that z=x+6 will get you all the correct z outputs. Hope this helps!
Answer and Step-by-step explanation:
The answer is D. z = x + 6
This is because the values for x, when plugged in for x, correlates to the values of y shown in the table.
#TeamTrees #PAW (Plant And Water)
John bought 25 apples for $3. Jane bought the same apples at the same price but only needed 10.
How much should Jane have to pay?
$
Answers
Answer:
3 ÷ 25 = 0.2
0.2 × 10
= $ 10
............
What is x + y when x = 4 and y = -5
Answers
Answer:
x + y = -1
Step-by-step explanation:
4 plus -5 is equivalent (equal to) the equation 4 - 5 which equals -1
for a sample size n = 24 and a population parameter of p = 0.4, a normal curve can be used to approximate the sampling distribution.
A. True
B. False
Answers
Answer:False
Step-by-step explanation:
Vehicles entering an intersection from the east are equally likely to turn left, turn right, or proceed straight ahead. If 50 vehicles enter this intersection from the east, use technology and the normal approximation to the binomial distribution to find the exact and approximate probabilities of the following. (Round your answers to four decimal places.)
a. 15 or fewer turn right.
b. at least two-thirds of those in the sample turn.
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Answer:
a)
0.3632 = 36.32% approximate probability that 15 or fewer turn right.
0.369 = 36.9% exact probability that 15 or fewer turn right.
b)
0.4801 = 48.01% approximate probability that at least two-thirds of those in the sample turn.
0.4868 = 48.68% exact probability that at least two-thirds of those in the sample turn.
Step-by-step explanation:
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
Vehicles entering an intersection from the east are equally likely to turn left, turn right, or proceed straight ahead.
This means that [tex]p = \frac{1}{3}[/tex]
50 vehicles
This means that [tex]n = 50[/tex]
Mean and standard deviation:
[tex]\mu = E(X) = np = 50\frac{1}{3} = 16.67[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{50\frac{1}{3}\frac{2}{3}} = 3.33[/tex]
a. 15 or fewer turn right.
Using continuity correction, this is [tex]P(X \leq 15 + 0.5) = P(X \leq 15.5)[/tex], which is the pvalue of Z when X = 15.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{15.5 - 16.67}{3.33}[/tex]
[tex]Z = -0.35[/tex]
[tex]Z = -0.35[/tex] has a pvalue of 0.3632
0.3632= 36.32% approximate probability that 15 or fewer turn right.
Using a binomial probability calculator, to find the exact probability, we get a 0.369 = 36.9% exact probability that 15 or fewer turn right.
b. at least two-thirds of those in the sample turn.
Turn either left or right, so:
[tex]p = \frac{1}{3} + \frac{1}{3} = \frac{2}{3}[/tex]
The standard deviation remains the same, while the mean will be:
[tex]\mu = E(X) = np = 50\frac{2}{3} = 33.33[/tex]
Two thirds of the sample is 33.33, so at least 34 turning, which, using continuity correction, is [tex]P(X \geq 34 - 0.5) = P(X \geq 33.5)[/tex], which is 1 subtracted by the pvalue of Z when X = 33.5.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{33.5 - 33.33}{3.33}[/tex]
[tex]Z = 0.05[/tex]
[tex]Z = 0.05[/tex] has a pvalue of 0.5199
1 - 0.5199 = 0.4801
0.4801 = 48.01% approximate probability that at least two-thirds of those in the sample turn.
Using a binomial probability calculator, we find a 0.4868 = 48.68% exact probability that at least two-thirds of those in the sample turn.
harry has a poster that is 3 feet wide he wants to draw 1/6 of a foot wide how many columns can gerry draw
Answers
PLSS I NEED THIS! Number 4
Answers
Answer:
(b) y < x-1; y ≤ -2x+2
Step-by-step explanation:
You want to know the inequalities represented on the graph showing a solid line with negative slope and a y-intercept of 2, and a dashed line with positive slope and a y-intercept of -1, where the shading is below both lines.
Line typeIf the line is included in the solution set (≤ or ≥ is used), the boundary line is graphed as a solid line. If the line is not included in the solution set (< or > is used), the boundary line is graphed as a dashed line.
Here, the line with positive slope is dashed, and the line with negative slope is solid.
y = x -1 . . . . is a line with positive slope
y = -2x +2 . . . . a line with negative slope
ShadingThe shading is below the line for y-values less than those on the line:
y < x -1 . . . . shading below a dashed line with positive slope
y ≤ -2x +2 . . . . shading below a solid line with negative slope
These are the inequalities of interest.
Unit 11 homework 1 area of plane figures number 12
Answers
Answer:
wth
Step-by-step explanation:
give us the god dang question and stop being lazy
Find the measure of the missing angle
Help plss
Answers
Answer: [tex]150^{\circ}[/tex]
Step-by-step explanation:
By the exterior angle theorem,
[tex]m\angle BQR=50^{\circ}+100^{\circ}=\boxed{150^{\circ}}[/tex]
We want to estimate the percentage of political figures who will make a social media
presence by posting an average of 1,000 posts per year next year. How many accounts
must we include in the sample next year, if we want our proportion estimate to be within
20 percentage points at a 90% level of confidence?
Answers
Answer:
0.0208
Step-by-step explanation:
Using the formula for calculating margin of error is expressed as;
M = z * √p(1-p)/n
z is the z score at 90 % interval
p is the proportion
n is the sample size
p = 0.2
n = 1000
z = 1.645
M = 1.645 * √0.2(1-0.2)/1000
M = 1.645 * √0.2(0.8)/1000
M = 1.645 * 0.01264
M = 0.0208
Hence the margin of error is 0.0208
Complete the following indirect proof (proof by contradiction).
Given: Adjacent angles LA and ZB, formed by the intersection of two lines
Prove: At least one of the angles LA and B has measure 90° or greater
Answers
First, we assume that this conclusion is false. In other words, we assume that the contrary statement "none of the two angles has measure [tex]90^{\circ}[/tex] or greater" is true.
The assumption is equivalent to the following two statements:
(1) [tex]m\angle A\text{ } \boxed{ < 90^{\circ}}[/tex]
(2) [tex]m\angle B\text{ } \boxed{ < 90^{\circ}}[/tex]
Using (1) and (2) and the addition properties of inequalities, we conclude that [tex]m\angle A+m\angle B \text{ } \boxed{ < } \text{ } 180^{\circ}[/tex].
On the other hand, two adjacent angles form a linear pair. Thus, the last statement contradicts the Linear Pair Property, which states that for a linear pair of angles [tex]\angle A[/tex] and [tex]\angle B[/tex], [tex]m\angle A+m\angle B \text{ } \boxed{=} \text{ } 180^{\circ}[/tex].
Therefore, the assumption made is false, and the statement "at least one of the angles [tex]\angle A[/tex] and [tex]\angle B[/tex] has measure [tex]90^{\circ}[/tex] or greater" is true.
In JKL, KL = 14, LJ = 3, and JK =12. Which statement about the angles of JKL must be true?
Answers
Answer:
D. [tex]L > J > K[/tex]
Step-by-step explanation:
Givenwe are given the vertecies (angles) of the trianglewe are given the side lengths of the triangleWhat to UtilizeThus, we have to utilize the angle relationships in a triangle.
Angle Relationships in a Triangle⭐The largest side is always opposite of the largest angle
⭐The smallest side is always opposite of the smallest angle
Application1. Identify the side lengths of triangle JKL
KL = 14LJ = 3JK = 122. Determine which vertecies are opposite of each side length (draw the figure)
Angle L is opposite of JK (14)Angle K is opposite of LJ (3)Angle J is opposite of KL (12)3. Determine which angles are the greatest, smallest, and in-between
Angle L is the LARGEST angle because it is opposite of the LARGEST side lengthAngle K is the SMALLEST angle because it is opposite of the SMALLEST side lengthWe know that angle J isn't the LARGEST or SMALLEST, but is in the middle4. Write what you found in #3 in terms of inequalities
∠L > ∠J > ∠K
angle L is greater than angle J, and angle J is greater than angle Kif this response helped you, please mark it the "brainliest"!
Can y’all help me on question 29?!
Answers
the symbol ‘>’ has one pointing towards the p, therefore it’s insinuating that it is less than, and there are two points on $12.75 insinuating that it’s more.
Answer:
D
Step-by-step explanation:
If the necklace must cost less than $12.75, then it would be shown either $12.75 > p (being greater than p) or p < $12.75 ( meaning that P is worth less than $12.75. And with that, the cost must have a maximum of $12.75 making D the answer.
How do I solve this system of equations using the elimination method.(I don't just want the answer, I want an explanation on how to get the answer.)
y=3x+13
2x=y-9
Answers
Answer:
y=3x+13
2x=y-9
Step-by-step explanation:
i need to know :(
Answer:
Step-by-step explanation:
Substitute 1 in 2 and solve for x.
2x=y-9
2x=3x+13-9
2x = 3x+4
-x = 4
x = -4
Then use equation 1 to solve for x.
y = 3x+13
y = -12+13
y= 1
I need help with this question that in this picture
Answers
Answer:
What subject
Step-by-step explanation:
Find the product 1 1/4 x 5 3/5
Answers
WHAT IS THE EQUATION ?? AND TELL ME HOW YOU GOT IT.
PLEASE ANSWER !! ILL GIVE BRAINLIEST !!
50 POINTS !!
FAKE ANSWERS WILL GET REPORTED .
Answers
Answer:
x = 20
Step-by-step explanation:
the sum of the interior angles of a triangle is 180°
add expressions for each angle then combine 'like terms':
6x - 5 + 2x - 3 + x + 8 = 180
9x - 8 + 8 = 180
9x = 180
x = 180/9
x = 20
(i don’t know what it’s asking for because it doesn’t show in the pic but if it’s asking for x or the angles this is the answer)
explanation: because a triangle is equaled to 180° you need to add all of them together and equal it to 180
(6x-5)+(x+8)+(2x-3)=180
*combine like terms
9x=180
x=20
to find the angles you need to plug in the x
j. 20+8=28
k. 6(20)-5=115
L. 2(20)-3=37
Who is right and why are they right?
Answers
What is the circumference of this circle? Use π = 3.14
Answers
The circumference of this circle is equal to 50.24 centimeters.
What is a circle?In Mathematics, a circle can be defined as a closed, two-dimensional curved geometric shape with no edges or corners. Additionally, a circle simply refers to the set of all data points in a plane that are located at a fixed distance (radius) from a fixed point (central axis).
How to calculate the circumference of a circle?Mathematically, the circumference of a circle can be calculated by using this mathematical expression:
C = 2πr or C = πD
Where:
C represents the circumference of a circle.D represents the diameter of a circle.r represents the radius of a circle.Based on the image of this circle (See attachment), we can logically deduce that its radius is equal to 8 centimeters.
Substituting the given parameters into the circumference of a circle formula, we have;
Circumference of circle, C = 2 × 3.14 × 8
Circumference of circle, C = 50.24 centimeters.
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helppppppp pleassseeeeeeeeeeeeeee
Answers
Answer:
D
Step-by-step explanation:
The absolute value means its just not negative, So If you see a number inbeteen the absolute value, just forget about the negative sign and make it positive
Ex: |-1| = 1
|-423242| = 423242
its that easy, then you just find which one is in the right order
Select the correct answer. What is this equation rewritten in exponential form? log7 343 = 3 A. 37 = 343 B. 73 = 343 C. 343x = 7 D. 343x = 3
Answers
The solution to the equation log₇343 = 3 is 7³ = 343
What is an equation?An equation is used to show the relationship between numbers and variables.
The logarithm can be defined as the exponent that raises a base to get a particular number. The law of logarithm states:
logₓm = n is the same as xⁿ = m
Given the equation:
log₇343 = 3
Applying the law of logarithm gives:
7³ = 343
The solution to the equation is 7³ = 343
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¿Cuál es el ángulo suplementario de 9º?
Answers
Answer:
171 degrees
Step-by-step explanation:
x + 9 = 180
x = 171
13.A rectangle and a square have the same perimeter 120 cm. Find the side of the square. If the rectangle has a breadth 5cm less than that of the square. Find the breadth, length and area of the rectangle.
Answers
Answer:
Step-by-step explanation:
why is 2^3x 5^4x 9^4 not a prime factorization? what is the prime factorization of the number?
Answers
The prime factorization of the number can be obtained by setting the variables x to specific values. For example, if we set x = 2, the number becomes 2^6 5^8 9^8, which can be further factored as 2^2 x 3^6 x 5^8 x 7^8. If we set x = 3, the number becomes 2^9 5^12 9^12, which can be further factored as 2^3 x 3^9 x 5^12 x 7^12.
So the prime factorization of the number depends on the value of the variable x. Without knowing the value of x, it is not possible to determine the exact prime factorization of the number.
Pls hurry by Friday! Whoever answers first will get points
Answers
Answer:
14 inches for every side
Step-by-step explanation:
44/4 = 22
circumfrence of half circle is 3.14r = 22
22/3.14 is about 7
the radius is half the side length so multiply 7 by 2 to get 14
mark brainliest please
Plz help me well mark brainliest if correct
Answers
Answer:
C.11
Step-by-step explanation:
yellow fur and green eyes =19 students
brown fur and brown eyes= 8 students
subtract them
19-8=11 students