What is the supplement of a 54 1/2 degree angle
Answers
Supplementary angles are angles whose sum is 180 degrees
Any angle that is the supplement of 54 1/2 degress will add up with it to give 180 degrees
Let the supplement be represented by x
\(\begin{gathered} x+54\frac{1}{2}=180 \\ \\ x+\frac{105}{2}=180 \\ \\ x=180-\frac{105}{2} \\ \\ x=\frac{360-105}{2} \\ \\ x=\frac{255}{2} \\ \\ x=(127\frac{1}{2})^0 \end{gathered}\)Therefore, the supplement of 54 1/2 degrees is 127
Related Questions
In the figure, AXYZ AMNL.
Find m/Y.
X
33°
Y
N
L< 124°
12
Z
8
M
Answers
The measure of angle Y, considering the similar triangles in this problem, is give as follows:
m < Y = 124º.
What are similar triangles?Similar triangles are triangles that share these two features listed as follows:
Congruent angle measures, as both triangles have the same angle measures.Proportional side lengths, which helps us find the missing side lengths.N and Y are the base angles, connecting the lateral segments, hence they are congruent.
As m < N = 124º, the measure of angle Y is given as follows:
m < Y = 124º.
More can be learned about similar triangles at brainly.com/question/14285697
#SPJ1
What is the slope of the line that passes through the points (-2,7) and (2,-5)
Answers
Answer:
slope = - 3
Step-by-step explanation:
Calculate the slope m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (- 2, 7) and (x₂, y₂ ) = (2, - 5)
m = \(\frac{-5-7}{2-(-2)}\) = \(\frac{-12}{2+2}\) = \(\frac{-12}{4}\) = - 3
Convert the following inequality 6x + 2y ≤ -8 into slope-intercept form
Answers
Answer:
y \(\leq\) -7
Step-by-step explanation:
6x + 2y \(\leq\) -8 Subtract 6x from both sides
6x - 6x + 2y \(\leq\) -8 - 6
2y \(\leq\) -14 Divide both sides by 2
y \(\leq\) -7
Is 8,11,14 a right triangle?
Answers
Answer:
NO
Step-by-step explanation:
For it to be a right triangle, 14 should be 13.6
8, 11, 13.6 is a right triangle
I need help with the first question of this problem.
Answers
Answer:
Step-by-step explanation:
hello, it seems this is problematic im sorry but I'm not sure if you could put a better picture.
If the factors of a quadratic function are (x + 2) and (x − 9), what are the x-intercepts of the function?
A.
(-9,0) and (2,0)
B.
(2,0) and (9,0)
C.
(-9,0) and (-2,0)
D.
(-2,0) and (9,0)
Answers
Answer: D. (-2,0) and (9,0)
Step-by-step explanation:
When you equate the factors to 0 you get
(X+2) = 0
X = -2
(X-9) = 0
X= 9
Here the Y value is 0 as you find the factors of x when the Y value is 0.
So the answer is (-2,0) and (9,0)
Answer: EDMENTUM AND PLATO
D.) (-2,0) and (9,0)
Step-by-step explanation:
Describe the slope of the line
Find the slope
m=??
Answers
Slope formula (y2-y1)/(x2-x1) ride over run (4+3)/(5-2) = answer: 7/3 or 2 1/3
Answer: 2.333333...
Step-by-step explanation:
If we apply rise over run, we see that it rises 3.5 spaces, and runs 1.5, which means that \(m = \frac{rise}{run} = \frac{3.5}{1.5} = 2.33333...\)
Before the trip, Tyler read 24 pages of his Philadelphia guidebook in an hour. The guidebook is 84 pages long. If he continued to read it at the same
rate, how long did it take Tyler to finish reading the guidebook before his family's trip?
Answers
A line's y-intercept is 8, and its slope is 6. What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Helpppp ASAP
Answers
Answer:
y = 6x + 8?
Step-by-step explanation:
10
3. Eli has 20 baseball cards of 20 different players in his pocket. Six
players are pitchers, Ten are outfielders, and four are catchers. If Eli
randomly selects a card to trade, find each probability. Express as a
percent. P (outfielder or catcher) *
80 %
100 %
20%
70 %
Answers
Answer:
50% outfeilders
30& pitchers
20% catchers
Step-by-step explanation:
The head of a computer science department is interested in estimating the proportion of students entering the department who will choose the new computer engineering option. Suppose there is not information about the proportion of students who might choose the option. What size sample should the department head take if he wants to be 95% confident that the estimate is within 0.10 of the true proportion
Answers
Answer:
96
Step-by-step explanation:
From the given information:
At 95% Confidence interval level,Level of significance \(\alpha\) 0.05, the value of Z from the standard normal tables = 1.96
Margin of Error = 0.10
Let assume that the estimated proportion = 0.5
therefore; the sample size n can be determined by using the formula: \(n =(\dfrac{Z}{E})^2 \times p\times (1-p)\)
\(n =(\dfrac{1.96}{0.1})^2 \times 0.5\times (1-0.5)\)
\(n =(19.6)^2 \times 0.5\times (0.5)\)
n = 96.04
n \(\approx\) 96
Ed needed to extend the string on his kite. The current string was nine and three fourths feet. He cut a piece of string that measured 2.5 feet and added it to the existing string. What is the new length of the string?
twelve and one fourth feet
eleven and three fourths feet
seven and one half feet
seven and one fourth feet
Answers
Answer:
Twelve and one fourth feet
Step-by-step explanation:
9 and 3/4 feet =9.75
2 and 2/4 feet =2.50
9.75 + 2.50
= 12.25/12 and 1/4 feet
3 divided by 5/6=___
Answers
Answer:
2.5
Step-by-step explanation:
Find the sum of this problem.
Answers
Answer:
34
Step-by-step explanation:
i think
Question 12 The GPAs of all students enrolled at a large university have an approximately normal distribution with a mean of and a standard deviation of . Find the probability that the mean GPA of a random sample of students selected from this university is or higher.
Answers
Complete question :
The GPAs of all students enrolled at a large university have an approximately normal distribution with a mean of 3.02 and a standard deviation of .29.Find the probability that the mean GPA of a random sample of 20 students selected from this university is 3.10 or higher.
Answer:
0.10868
Step-by-step explanation:
Given that :
Mean (m) = 3.02
Standard deviation (s) = 0.29
Sample size (n) = 20
Probability of 3.10 GPA or higher
P(x ≥ 3.10)
Applying the relation to obtain the standardized score (Z) :
Z = (x - m) / s /√n
Z = (3.10 - 3.02) / 0.29 / √20
Z = 0.08 / 0.0648459
Z = 1.2336940
p(Z ≥ 1.2336) = 0.10868 ( Z probability calculator)
sin(x)-cos(x)/sin²(x)-cos²(x) = 1
Answers
The prove of the given trigonometric function is given below.
The given trigonometric function is,
(sin⁴(x) - cos⁴(x))/(sin²(x) - cos²(x))
Now proceed left hand side of the given expression:
We can write the expression as,
⇒[(sin²(x))² - (cos²(x))²]/(sin²(x) - cos²(x))
Since we know that ,
Algebraic identity:
a² - b² = (a-b)(a+b)
Therefore the above expression be
⇒(sin²(x) - cos²(x))(sin²(x) + cos²(x))/(sin²(x) - cos²(x))
⇒(sin²(x) + cos²(x))
Since we know that,
Trigonometric Identities come in handy when trigonometric functions are used in an expression or equation. Trigonometric identities hold for all values of variables on both sides of an equation. Geometrically, these identities include one or more trigonometric functions (such as sine, cosine, and tangent).
Then,
sin²(x) + cos²(x)² = 1 is an trigonometric identity
Hence,
(sin⁴(x) - cos⁴(x))/(sin²(x) - cos²(x)) = 1
Hence proved.
Learn more about the triangle visit;
brainly.com/question/1058720
#SPJ1
Show that the angle bisector of an equilateral triangle is perpendicular to the base
Answers
To show that the angle bisector of an equilateral triangle is perpendicular to the base, we can assume an equilateral triangle with sides ABC. Next, we can get an angle bisector in the middle represented by BD which becomes perpendicular to the base BC.
How to prove that the angle bisector is perpendicular to baseAfter getting the angle bisector, we would see that the line segment BD, divides angle BAC into two equal angles, each measuring 30 degrees. Now, we can draw a perpendicular line from point D to the base BC.
We could also draw a line E, which is the perpendicular line that intersects the base BC. We want to show that BD is perpendicular to BC, which means we need to show that angle BDE is a right angle.
Since the sum of angles BDA and ADE is 90 degrees (they form a right angle), and the sum of angles BAD, ABD, and BDA is 180 degrees, it follows that angle BDE must be a right angle.
Therefore, we have shown that the angle bisector of an equilateral triangle is perpendicular to the base.
Learn more about the angle bisector of an equilateral triangle here:
https://brainly.com/question/30341397
#SPJ1
The data below is from a Case-Control study done in Ethiopia to determine risk factors associated with Tuberculosis. People with Tuberculosis were found (Cases) and compared to similar people without Tuberculosis (Controls). Smoker Non-smokerCase 42 218 Control 15 2451. Using 1% significance, would you conclude that the proportion of those with Tuberculosis who smoke is different than those without Tuberculosis who smoke? 2. From this data can you estimate the risk of developing Tuberculosis for a smoker, that is P(Tuberculosis | Smoker)? If no explain why, if yes what is the risk?
Answers
The methods to reduce the risk of tuberculosis include Educating patients on respiratory hygiene
What is tuberculosis?
Mycobacterium tuberculosis is the bacteria that causes tuberculosis (TB). TB germs often attack the lungs, but they can attack any region of the body, including the kidney, spine, and brain.
When an infected individual coughs or sneezes, the germs that cause tuberculosis spread. The majority of people who are infected with the germs that cause tuberculosis do not show symptoms. When symptoms do appear, they are typically accompanied by a cough (sometimes blood-tinged), weight loss, night sweats, and fever.
Learn more about tuberculosis on:
brainly.com/question/18173152
#SPJ4
An object attached to a coiled spring is pulled down 5 centimeters from its rest position and released. If the motion is simple harmonic in nature, with a period of pi seconds, answer the following questions.
A. what is the maximum displacement form equilibrium of the object?
B. what is the time required for one oscillation?
C. what is the frequency?
D.write an equation to model the motion of the object.
Answers
The maximum displacement is 5 centimeters.
The time required for one oscillation is π seconds.
The frequency is 1 / π Hz.
Equation to model the motion of the object is x(t) = 5 × cos(2t)
The maximum displacement from equilibrium can be determined by observing that the object is pulled down 5 centimeters from its rest position.
In simple harmonic motion, the amplitude represents the maximum displacement from equilibrium.
The period of oscillation is given as π seconds.
The period (T) is the time required for one complete oscillation.
The frequency (f) is the reciprocal of the period and represents the number of oscillations per unit time.
Thus, the frequency is the inverse of the period: f = 1 / T.
To model the motion of the object, we can use the equation for simple harmonic motion:
x(t) = A×cos(ωt + φ)
A = 5 centimeters (maximum displacement),
T = π seconds (period),
f = 1 / π Hz (frequency).
To find ω, we can use the relation ω = 2π / T:
ω = 2π / π = 2 radians/second.
The equation to model the motion of the object is:
x(t) = 5 × cos(2t)
To learn more on Displacement click:
https://brainly.com/question/29957379
#SPJ1
MAX POINTS AND THE BRAINLYEST!!!!!! Please solve the question and show your work.
Answers
Step-by-step explanation:
1)
5p + 5 = 3(5p - 4) - 10p
5p + 5 = 15p - 12 - 10p
5p + 5 = 5p - 12
5 ≠ -12
p = No solution
2)
P = 2w + 2l
P = 2(w + l)
P/2 = w + l
P/2 - l = w
I think that it is 1 and 2 by the way
¿375 es el 25% menos de que numero?
Answers
Answer:
hmm tratar 93.75
Step-by-step explanation:
cuanto es el 25 por ciento de descuento sobre 375? Asi, 25% de descuento en un item con un precio de estante de 375 es igual a $93.75.
espero que esto ayude
look at the multipication in the box.
use the same integers to write down two divisions
Answers
Answer:
-30 ÷ 6= -5
-6 × 5 = -30
-30 ÷ -5 = 6
Step-by-step explanation:
It is common knowledge that a fair penny will land heads up 50% of the time and tails up 50% of the time. It is very unlikely for a penny to land on its edge when flipped, so a probability of 0 is assigned to this outcome. A curious student suspects that 5 pennies glued together will land on their edge 50% of the time. To investigate this claim, the student securely glues together 5 pennies and flips the penny stack 100 times. Of the 100 flips, the penny stack lands on its edge 46 times. The student would like to know if the data provide convincing evidence that the true proportion of flips for which the penny stack will land on its edge differs from 0.5. The student tests the hypotheses H0: p = 0.50 versus Ha: p ≠ 0.50, where p = the true proportion of all flips for which the penny stack will land on its edge. The conditions for inference are met. The standardized test statistic is z = –0.80 and the P-value is 0.2119. What conclusion should the student make using the α = 0.10 significance level?
A) Because the test statistic is less than α = 0.10, there is convincing evidence that the true proportion of flips for which the penny stack will land on its edge differs from 0.5.
B) Because the P-value is greater than α = 0.10, there is convincing evidence that the true proportion of flips for which the penny stack will land on its edge differs from 0.5.
C) Because the P-value is greater than α = 0.10, there is not convincing evidence that the true proportion of flips for which the penny stack will land on its edge differs from 0.5.
D) Because the test statistic is less than α = 0.10, there is not convincing evidence that the true proportion of flips for which the penny stack will land on its edge differs from 0.5.
Answers
The correct answer is:
C) Because the P-value is greater than α = 0.10, there is not convincing evidence that the true proportion of flips for which the penny stack will land on its edge differs from 0.5.
The student set up a hypothesis test to investigate whether there is evidence that the true proportion of flips for which the penny stack will land on its edge differs from 0.5. The null hypothesis is that the proportion is 0.5, and the alternative hypothesis is that it differs from 0.5.
The student obtained a standardized test statistic of z = -0.80 and a P-value of 0.2119.
To make a conclusion, the student needs to compare the P-value to the significance level α.
The significance level is given as 0.10, which means that the student is willing to accept a 10% chance of making a Type I error (rejecting the null hypothesis when it is actually true).
Since the P-value of 0.2119 is greater than α = 0.10, there is not convincing evidence to reject the null hypothesis. Therefore, the student cannot conclude that the true proportion of flips for which the penny stack will land on its edge differs from 0.5.
Learn more about Null Hypothesis here:
https://brainly.com/question/28920252
#SPJ1
Jim worked 45 hours this week. He earns time and a half for overtime. He is paid $12.59 per/hour, how much will he earn this week?
Answers
Answer: 566.55 US dollars
Step-by-step explanation: i think, please give 5 stars
A line segment has end points V (-4,-4) and W (11, 2). What is the x-coordinate of the point that is 2/5 of the way from V to W on this line segment
Answers
the x-coordinate of the point that is 2/5 of the way from V to W on this line segment is approximately 8.08.
What is coordinate?A coordinate is a number or set of numbers that specifies the position of a point in a space. Coordinates are used to describe the position of objects in various mathematical systems, including two-dimensional and three-dimensional Euclidean spaces, as well as non-Euclidean spaces like spherical or hyperbolic geometries.
by the question.
The x-coordinate of the point that is 2/5 of the way from V to W can be found by first determining the x-coordinate of the point that is 2/5 of the way from V to W and then using the formula for finding the x-coordinate of a point on a line given its y-coordinate.
To find the point that is 2/5 of the way from V to W, we need to first find the distance between V and W. Using the distance formula:
d =\(\sqrt{11-(-4)^{2} }\) + (2 - \((-4)^{2}\)) = \(\sqrt{225+36}\)= \(\sqrt{261}\)
Then, the distance between V and the point we're looking for is (2/5) * \(\sqrt{261}\), and the distance between the point we're looking for and W is (3/5) * \(\sqrt{261}\).
To find the x-coordinate of the point we're looking for, we can use the formula:
x = (distance from V to point we're looking for)/ (total distance) * x
coordinate of W + (distance from point we're looking for to W)/(total distance) * x-coordinate of V.
Substituting the values, we found:
x = (2/5 *\(\sqrt{261}\))/\(\sqrt{261}\)) * 11 + (3/5 * \(\sqrt{261}\))/\(\sqrt{261}\)) * (-4) = 8.08
To learn more about distance:
https://brainly.com/question/15172156
#SPJ1
What is the length of the side of a cone if the radius of the base is 12 and the height is 20 URGENT IMPORTANT P.S. THIS IS NOT COLLEGE MATH
Answers
Answer:
l=r2+h2=122+202≈23.32381
Step-by-step explanation:
Could you use a Paired t-Test to determine if there is a difference between the means of the 2 groups. Type YES or NO
Answers
A paired t-test can be used to determine if there is a difference between the means of the two groups.
YES.
A paired t-test is appropriate for determining if there is a significant difference between the means of two groups when the data is paired or dependent. This test compares the means of two related samples to evaluate if the difference between them is statistically significant.
In a paired t-test, each observation in one group is paired or matched with a corresponding observation in the other group. The test examines the difference between the paired values and determines if that difference is significantly different from zero.
By calculating the t-statistic and comparing it to the critical values from the t-distribution, along with the degrees of freedom, we can assess if there is a significant difference between the means of the two groups.
Therefore, a paired t-test can be used to determine if there is a difference between the means of the two groups.
for such more question on paired t-test
https://brainly.com/question/15870238
#SPJ8
10, the shorter side equals 7 and the longer side equals 14.
Angle A is the angle created by the hypotenuse and the longer side.
Angle C is the right angle. Draw the triangle and label all sides and
angles.
Answers
Answer:
I have no idea I am so sorrt
Suppose f(x) =8^3x and g(x) =8^4x which of these function operations are correct select all that apply
Answers
Suppose \(f(x) =8^{3x\) and \(g(x) =8^{4x\), function operations that are correct include the following:
A. (f + g)(x) = \(8^{3x} + 8^{4x}\)
B. (f × g)(x) = \(8^{7x}\)
C. (f - g)(x) = \(8^{3x} - 8^{4x}\)
What is an exponent?In Mathematics, an exponent is a mathematical operation that is typically used in conjunction with an algebraic expression in order to raise a quantity to the power of another.
This ultimately implies that, an exponent is represented by the following mathematical expression;
bⁿ
Where:
the variables b and n are numerical values (numbers) or an algebraic expression.n is referred to as a superscript or power.By applying the division and multiplication law of exponents for powers of the same base to the functions, we have the following:
(f × g)(x) = \(8^{3x+ 4x}=8^{7x}\)
(f ÷ g)(x) = \(8^{3x- 4x}=8^{-x}\)
Read more on exponent here: brainly.com/question/27858496
#SPJ1
Rotate point (-3, 2) about the origin 180 degrees clockwise. Where will the new point be?
Answers
Answer: the answer is (3,-2)
Step-by-step explanation: when you rotate a point about the origin 180 degrees clockwise, (x,y) turns into (-x,-y)
therefore
(-3,2) becomes (3,-2)
I'm pretty sure