Answers
Answer:
25°
Step-by-step explanation:
∠1 = 180° - 155° = 25°
∠1 is the same as ∠5
So ∠5 = 25°
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Related Questions
If cos y=5/6, then what is the positive value of tan1/2y, in simplest radical form with a rational denominator
Answers
Using half-angle formula, the positive value of tan(1/2y), in simplest radical form with a rational denominator, is √(1/11).
What is the positive value of tan 1/2y?To find the value of tan(1/2y), we can use the half-angle formula for tangent:
tan(1/2y) = ±√((1 - cos(y))/(1 + cos(y)))
Given that cos(y) = 5/6, we can substitute this value into the formula:
tan(1/2y) = ±√((1 - 5/6)/(1 + 5/6))
= ±√(1/6)/(11/6)
= ±√(1/11)
Since we're looking for the positive value of tan(1/2y) with a rational denominator, the final answer is:
tan(1/2y) = √(1/11) / √(1)
= √(1/11) / 1
= √(1/11)
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Which sequence shows the numbers in order from least to greatest?
A. 7 5/6, √132, |-5 x 10^2|
B. |-5 x 10^2|, √132, 7 5/6
C. |-5 x 10^2|, 7 5/6, √132
D. √132, 7 5/6, |-5 x 10^2|
Answers
A. is the answer did you need an explanation
Polygon ABCD has the following vertices:
A(−4, 2), B(3, 2), C(3, −5), and D(−4, −2)
Calculate the area of the polygon.
28 units squared
38.5 units squared
40.5 units squared
49 units squared
get it right because i can check and i'll not give you brainlyest
:)
Answers
To be able to solve clearly this problem, the best thing to do is to plot the graph (see attached pic). From the graph we can see that the points form a trapezoid.
The base is formed by the segment connecting point A and point B.
While the two heights: shorter one by the segment connecting points A and D, and the longer one by the segment connecting points B and C.
The formula for area of trapezoid is given as:
A = b (h1 + h2) / 2
Where,
b = base of the trapezoid = 3 – (-4) = 7
h1 = shorter height = 2 – (-2) = 4
h2 = longer height = 2 – (-5) = 7
Therefore the area is:
A = 7 (4 + 7) / 2
A = 77 / 2
A = 38.5
Given the following sets, find the set (A U B) n (AUC).
U= {1, 2, 3, ..., 10}
A=(2, 5, 7, 10}
B = {1, 2, 3)
C={1, 2, 3, 4, 5}
Answers
The set (A U B) n (A U C) is {2, 5, 7, 10}. A.
To find the set (A U B) n (A U C), we first need to calculate the union of sets A and B, and then calculate the union of that result with set C. Finally, we find the intersection of these two sets.
Set A U B:
The union of sets A and B, denoted as A U B, is the combination of all elements from both sets without any repetitions.
A contains the elements 2, 5, 7, and 10, while B contains the elements 1, 2, and 3.
A U B consists of the elements {1, 2, 3, 5, 7, 10}.
Set (A U B) U C:
Next, we calculate the union of the set (A U B) with set C, denoted as (A U B) U C. A U B contains the elements {1, 2, 3, 5, 7, 10} and C contains the elements {1, 2, 3, 4, 5}.
Taking the union of these two sets results in {1, 2, 3, 4, 5, 7, 10}.
Finding the intersection:
Finally, we find the intersection of (A U B) U C with A U C. A U C consists of the elements {2, 5, 7, 10}.
The intersection of these two sets is the combination of common elements.
The common elements are {2, 5, 7, 10}.
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8 shared equally among x
How do you write the expression?
Answers
Step-by-step explanation:
You can assume that x is like ppl, so you split 8 among them by divding : 8/x (fraction with 8 over x)
Find the value of x, 6,4, 3x, 4x+1
Answers
Answer:
If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.
6(3x) = 4(4x + 1)
18x = 16x + 4
2x = 4
x = 2
Write this number in standard form 3 thousands, 16 tens,7 ones
Answers
What is the critical value t* which satisfies the condition that the t distribution with 14 degrees of freedom has probability 0.35 to the right of t*
Answers
Answer:
\(t_{0.35,14}= 0.3933306\)
Step-by-step explanation:
From the question we are told that:
Degree of freedom \(df=14\)
Significance Level \(\alpha=0.35\)
Generally the expression for critical value t is mathematically given by
\(t_{\alpha,df}\)
\(t_{0.35,14}\)
Therefore From Students T Value Table
\(t_{0.35,14}= 0.3933306\)
\(T-Value (right-tailed): 0.3933306\)
14Y - 7y = 35. solve for y
Answers
Answer:
y = 5
Step-by-step explanation:
\(14y-7y=35\\7y=35\\y=5\)
14 minus 7 is 7
7Y is equal to 35
divide both sides by 7 is equal to 5
Which box plot represents the data set 2, 4,4,8,10,12
Answers
Answer:
A.
Step-by-step explanation:
Give the data set: 2, 4, 6, 8, 10, 12.
Find the following:
Min, Q1, Median, Q3, and Max.
Min. = 2
Q1 = 4
Median = (6+8)/2 = 7
Q3 = 10
Max = 12
Check the box plot to see which one represents these values above.
Thus:
The correct box plot would have the whisker to your left at 2, representing the min value.
The Q1 would be at represented by the beginning box the edge of the rectangular box that starts at 4.
The median would be represented by the vertical line that divides the box which would be on 7.
The Q3 would be on the end of the box which is at 10.
The max would be represented by the other whisker that goes to our right, representing 12.
The box plot is that represents this data is the box plot given in option A.
Solve for a: b − 2a = c
Answers
Answer:
\(a=-\frac{c-b}{2}\)
Step-by-step explanation:
Solving for the variable \(a\), given that :
\(b-2a=c\)
We can first start start by subtracting \(b\) from both sides of the equation:
\(-2a=c-b\)
Now, we can divide both sides of the equation by the coefficient of \(a\), which would be \(-2\):
\(a=\frac{c}{-2}-\frac{b}{-2}\)
Applying the fraction rule \(\frac{a}{c}\pm\frac{b}{c} =\frac{a\pm b}{c}\):
\(a=\frac{c-b}{-2}\)
Then, apply the fraction rule \(\frac{a}{-b} =-\frac{a}{b}\)
\(a=-\frac{c-b}{2}\)
in simplest form is _______.
Answers
Answer:
5/7
Step-by-step explanation:
The greatest common factor of 25/35 is 5, 25/5=5, 35/5=7, therefore your answer is 5/7.
on a highway there are billboards located every 1 1/2 km there are 14 billboards in that highway how long is the highway
Answers
Answer:
1 1/2 = 3/2
3/2 x 14
= 42/2
=21
Step-by-step explanation:
I need help with this
Answers
The statement that is equivalent to |6x-3|=3 is: 6x-3=3 or 6x-3=-3
For the equation to be true, two scenarios need to be considered:
When the expression 6x-3 is positive and equals 3:
6x-3 = 3
When the expression 6x-3 is negative and equals -3:
6x-3 = -3
By solving these two equations, we can find the equivalent statement:
Solving 6x-3 = 3:
Adding 3 to both sides gives us:
6x = 6
Dividing both sides by 6:
x = 1
Solving 6x-3 = -3:
Adding 3 to both sides gives us:
6x = 0
Dividing both sides by 6:
x = 0
Therefore, the equivalent statement to |6x-3|=3 is:
6x-3=3 or 6x-3=-3, which can be further simplified to:
6x-3=3 or 6x-3=-3
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mathmatically indication example with solution
Answers
A mathematically indication example would be to solve the equation 3x + 2 = 14 for the value of x. The solution would be 4.
How to solve the equation ?Looking for a mathematically indication example, we can consider a simple mathematical equation with one variable and solve it.
The equation would be 3 x + 2 = 14.
So we can solve for the equation to be :
3x + 2 - 2 = 14 - 2
3x = 12
3 x / 3 = 12 / 3
x = 4
In conclusion, the mathematically indication example would be 3x + 2 = 14 and the value of x would be 4.
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If √ 24 + √ 96 7 √600 = y√ 6, find the value of y. -
Answers
polygon h is a scaled factor of polygon g using a scale factor of 1/4
Answers
The fraction of the area of polygon H of polygon G's area would be: 1/16.
What are Similar Polygons?When a polygon is formed by enlarging or reducing an original polygon by a scale factor, the new polygon formed is similar to the original polygon.
What is a Scale Factor?The scale factor = new dimension/original dimension
Given that polygon H is the new polygon formed when polygon G is reduced by a scale factor of 1/4, thus, we would have the following:
Area of polygon H/Area of polygon G = square of the side of polygon H/square of the side of polygon G = square of the scale factor of dilation
Area of polygon H/Area of polygon G = 1²/4² = 1/16
This implies that the area of polygon G is 16 units² while the area of polygon H is 1 units².
Thus, the fraction of the area of polygon H of polygon G's area would be: 1/16.
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Given that m angle KLH=120^ which statement about the must be true? angle HLM is bisected by angle GLJ is bisected by vec LH . m angle KLG=m angle HLJ m angle HLI=m angle LLM
Answers
Answer:angle hlm is bisected by Lj
Step-by-step explanation:
The true statement is ∠HLM is bisected by LI
What is bisect?Bisect means to divide a geometric figure to two equal half.Dividing line is bisector.Given that ∠KLH=120°
We know that angle of straight line is 180°
∴∠KLM=180°
∠KLH+∠HLM=180°
120°+∠HLM=180°
∠HLM=60°
From figure, ∠HLI=30° and ∠ILM=30°
Line LI cuts the angle HLM into two equal parts such as HLI and ILM.
Therefore, ∠HLM is bisected by LI
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Chelsea bought a computer on Monday for $1,300. Its value is predicted to decrease by $250 per year. Her brother George also bought a computer on Monday. The function g(x) = 1,100 – 175x predicts how the value of his computer is expected to change after x years.
Whose computer is expected to have a greater value when it is 3 years old, and how much greater will it be?
A) Chelsea’s computer is expected to have a value of $25 greater.
B) George’s computer is expected to have a value of $25 greater.
C) Chelsea’s computer is expected to have a value of $125 greater.
D) George’s computer is expected to have a value of $125 greater.
Answers
Answer:
The correct answer is B. George’s computer is expected to have a value of $25 greater.
Step-by-step explanation:
Since Chelsea bought a computer on Monday for $ 1,300, and its value is predicted to decrease by $ 250 per year, while her brother George also bought a computer on Monday, and the function g (x) = 1,100 - 175x predicts how the value of his computer is expected to change after x years, to determine whose computer is expected to have a greater value when it is 3 years old, and how much greater will it be, the following calculation must be performed:
Chelsea:
1,300 - (250 x 3) = X
1,300 - 750 = X
550 = X
George:
1,100 - (175 x 3) = X
1,100 - 525 = X
575 = X
Therefore, George’s computer is expected to have a value of $ 25 greater.
The sum of Debbie and Joan’s present ages is 59 years. In 5 years, twice Debbie’s age will be equal to Joan’s age. Determine their ages.
Answers
Answer: D-18 years, Joan-41 years
Step-by-step explanation:
Given
The Sum of Debbie and Joan's age is 59
Take x and y as the age of Debbie and Joan
In 5 years, twice Debbie's age will be equal to Joan's age
\(\Rightarrow 2(x+5)=y+5\)
\(\Rightarrow 2x+10=y+5\\\Rightarrow 2x-y=-5\)
Also, \(x+y=59\)
solving these two equations we get
\(\Rightarrow x=18;y=41\)
Mark has 6 3/4 pounds of candy he needs to pack 1/3 into pound bags. How many bags can he fill?
Answers
Step-by-step explanation:
remember, a/a = 1, and it represents always a "whole" in fraction calculations.
in our case here : 4/4.
if I understand correctly, he packs 1/3 of 6 3/4 pounds into pound bags (which I assume are bags that hold 1 pound each).
6 3/4 = (6×4)/4 + 3/4 = 24/4 + 3/4 = 27/4 pounds.
1/3 of x means multiplying x by 1/3.
this is the same as dividing x by 3.
so, in our case 1/3 of the candy to be packed is
27/4 × 1/3 = 27/(4×3) = 9/4 = 8/4 + 1/4 = (2×4)/4 + 1/4.
that means he can fill 2 whole pound bags and has 1/4 pound left.
16. A rock weighs 6 and 1/2 tons. How many pounds does the rock weigh?
2,000 lb = 1 T
Answers
Answer:
13000
Step-by-step explanation:
1 = 2,000 pounds
0.5 tons = 1000 pounds
Answer: 13,000 lb
Step-by-step explanation:
6 x 2,000 = 12,000
1/2 * 2,000 = 1,000
12,000 + 1,000 = 13,000
Record the prime factorization of 720 using exponents
Answers
Answer:
20
Step-by-step explanation:Because thats the last two digets
The prime factorization of 720 using exponents is 2⁴×3²×5.
The given number is 720.
Prime factorization is a way of expressing a number as a product of its prime factors. A prime number is a number that has exactly two factors, 1 and the number itself.
The factors of 720 are
720 = 2×2×2×2×3×3×5
Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.
Now, 2×2×2×2×3×3×5 = 2⁴×3²×5
Therefore, the prime factorization of 720 using exponents is 2⁴×3²×5.
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After examining the reciprocal identity for sect, explain why the function is undefined at
certain points.
Answers
The function is undefined for those values of x where the denominator is zero.
What informs the function to be undefined?The reciprocal identity for sine, cosine, and tangent states that:
sin(x) = 1/csc(x)
cos(x) = 1/sec(x)
tan(x) = 1/cot(x)
It is important to note that csc, sec, and cot are only defined for values of x where the denominator is not equal to zero.
For example, csc(x) is defined as 1/sin(x), so it is undefined for x = kπ where k is any integer and sin(x) = 0.
Similarly, sec(x) is defined as 1/cos(x) and is undefined for x = (k+1/2)π where k is any integer and cos(x) = 0. Finally, cot(x) is defined as 1/tan(x) and is undefined for x = kπ where k is any integer and tan(x) = 0.
Therefore, the reciprocal identity for sine, cosine, and tangent is only defined for certain input values, and it is undefined for those values of x where the denominator is zero.
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What is
1
,
318
×
27
?
Answers
Answer:
1,8586
Step-by-step explanation:
In basketball, the term "hang time" is the amount of time that a player is suspended in the air when
making a basket. A player's hang time is given by the equation t = 0.5Vh, where t is the time (in
seconds) and h is the height (in feet) of the jump. The second place finisher of a slam-dunk contest had a
hang time of 1 second, and the winner had a hang time of 1.2 seconds. How many feet higher did the
winner jump than the second place finisher?
Answers
Select the correct answer
A company is interested in learning if employees are satisfied with their jobs. To find out the company hires an independent market research
company to conduct a survey. Every survey filled out by an employee is anonymous. Which of the following statements is correct?
A This method of sampling is biased.
B This method of sampling is unbiased.
C This method of sampling is neither biased nor unbiased. D This method of sampling can be considered both biased and unbiased.
Answers
The statement (B) is correct because it is anonymous, it does not focus on a specific ethnicity, gender, or other factor.
What is a survey?A survey is a means of gathering information from a sample of people using pertinent questions with the goal of understanding populations as a whole.
We have:
A company is interested in learning if employees are satisfied with their jobs.
Every survey that an employee fills out is completely anonymous.
The statement (B) this method of sampling is unbiased because it is anonymous, it does not focus on a specific ethnicity, gender, or other factor.
Thus, the statement (B) is correct because it is anonymous, it does not focus on a specific ethnicity, gender, or other factor.
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12
A paratrooper falls to the ground along a diagonal line. His fall begins 5 330 meters above the ground, and the line he follows has a slope
of 6.5. That is, he falls 6.5 meters vertically for every 1 meter he moves across horizontally. How far horizontally across the ground does
he land from his initial position in the sky?
meters
Answers
Answer:
820
Step-by-step explanation:
Using the given values you can form the equation f(x)=-6.5x+5330 to model this example. All you need to do is look to where the x intercept is and there is you answer.
Solve for x
Your answer must be simplified.
x + 5 <_4
Answers
Answer:
x > 125
Step-by-step explanation:
Pre-Algebra
Order of Operations: PEMDAS
Equality Properties
Step-by-step explanation:
Step 1: Define inequality
x/25 > 5
Step 2: Solve for x
Multiply 25 on both sides: x > 125
Here we see that any number x greater than 125 would work as a solution.
the quotient of the sum of p and q and r
Answers
Answer:
\( \dfrac{p + q}{r} \)
Step-by-step explanation:
The sum of p and q is p + q.
The quotient of the sum of p and q and r is
\( \dfrac{p + q}{r} \)