Answer:
Acute angle
Step-by-step explanation:
Any angle less than 90° is acute.
Answer:
Acute.
Step-by-step explanation:
90 degree angle = Right Angle
Greater than 90 degrees = Obtuse Angle
Less than 90 degrees = Acute Angle
Use the figure at the right to identify the angle pair relationship.
Angles ∠1 and ∠7 are alternate interior angles and angle ∠4 and ∠8 are adjacent angles.
What are lines and angles?Lines are straight with little depth or width. Perpendicular lines, intersecting lines, transversal lines, and other types of lines will be covered. An angle is a shape formed by two rays emerging from a common point. In this field, you may also come across alternate and equivalent angles.
The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.
When a transversal connects two coplanar lines, alternate interior angles are generated. They are on the inside of the parallel lines, but on the outside of the transversal.
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Why is area in square units?
The number of unit squares needed to completely cover a shape is its area. As a result, it is expressed and measured in square units.
The word "area" refers to a free space. The area of a thing is the amount of space it occupies in two dimensions. A closed figure's surface area is calculated by counting how many unit squares completely encircle the surface. The square unit is frequently expressed as square inches, square feet, etc., and is the accepted unit of area.
Consider, there are several squares with sides that are 1 unit by 1 unit wide in the grid. The surface area of each square is one square unit. Each square is a unit square. As a result, the area is stated and measured in square units.
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the coefficient of x in the expansion of (a x)5 (1-2x)6, where a is positive, is 90. find the value of a.
In the given expansion ,the value of a = -4/3 .
Binomial Distribution:
The binomial distribution with parameters n and p is the discrete probability distribution of the number of successes in a series of n independent experiments. Each asks a yes-no question and each has its own Boolean outcome: success (probability p) or failure (probability p) (probability q = 1-p. A single success/failure experiment is also called a Bernoulli trial or Bernoulli experiment, and a series of results is called a Bernoulli process. For one trial, n = 1, binomial distribution is Bernoulli distribution. The binomial distribution is the basis for the common binomial test of statistical significance.
In general, (A + B)⁵ = A⁵ + 5A⁴ᵇ + 10A²ᵇ*³ + 10A³ᵇ*² + 5AB⁴ + B⁵
So,
(3–2x)⁵= 3⁵ + 5*3⁴*(-2x) + 10* 3^3 *(-2x)^2 + 10*3^2*(-2x)^3 + 5*3*(-2x)^4 + (-2x)^5.
Multiplying that by (1 + ax) gives:
3^5 + 5*3^4*(-2x) + 10* 3^3 *(-2x)^2 + 10*3^2*(-2x)^3 + 5*3*(-2x)^4 + (-2x)^5 + ax(3^5 + 5*3^4*(-2x) + 10* 3^3 *(-2x)^2 + 10*3^2*(-2x)^3 + 5*3*(-2x)^4 + (-2x)^5).
In bold, we find the terms of x^2, so the coefficient of x^2 is 10*3^3*(-2)^2+a*5*3^4*(-2) = 360 - 810a
We know that this must equal 1440, so 360–810a = 1440.
Therefore a= -4/3.
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what is the answer to this problem? Evaluate |-7| + 4
Answer:
11 (PLEASE GIVE BRAINLIYEST)
Step-by-step explanation:
absolute value is distance from zero so |-7|=7
and 7+4 is 11
Please help me pretty please man
Answer:
b?
Step-by-step explanation:
i think b is right??/
pls answer this question
Answer:
Step-by-step explanation:
The answer is C
We have to think about what size 0 would look like, if we observe the change between each figures we can find out the figure grows 4 every time, so we know it's always 4 each time. If we take figure 1 and remove all it's 4 green block it will be just left with 1 yellow block, which is figure 0, we have to add 1 every time we increase the size by 1.
Help needed was not thought this
Answer:
Yes what is the question
Answer:
what is the question
Step-by-step explanation:
I need help pleaseee
Answer: 1/10th
Step-by-step explanation:
20 different lengths, 2 are 21.5 = 2/20 reduce to 1/10 so 10%
a school show had ticket sales of $1345 the first night and $935 the second night. 180 student tickets were sold and 110 adult tickets were sold on the first night. 100 student tickets were sold and 90 adult tickets were sold. find the price of a student ticket.: * a) $5.75 b) $8.75 c) $6.50 d) $3.50 e) $7.50
A school show had sold the ticket sales of first and second nights. The price of a student ticket is $3.54, a So, the correct answer is option (d).
Total sale on tickets at the first night = $1345
Total sale on tickets at the second night = $935
Let the price of student ticket and adult ticket in school show be "$x" and "$y" respectively. According to problem,
On first night total sale,
180x + 110y = $1345 --(1)
On Second night total sale,
100x + 90y = $935 --(2)
we have to determine the price of student ticket i.e x and price of adult ticket i.e y .. We have a system of linear equation which consists two equations (1) and (2) . Now, we solve these equations using Substitution method,
From equation (2), 100x = 935 - 90y
=> x = (935 - 90y )/100 --(*)
Substitute the value of x in equation (1) 180x + 110y = $1345
=> 180(935 - 90y )/100 + 110y = 1345
Simplify ..
=> 168120 - 16200y + 11000y = 134500
=> 168120 - 134500 = 16200y - 11000y
=> 33620 = 5200y
=> y = 33620/5200
=> y = 6.46
put the value of y in equation (*) we get,
x = (935 - 90× 6.46)/100 = 3.536
Hence, the value of x is $3.536 and value of y is $6.46..
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Solve for x in the triangle. Round your answer to the nearest tenth.
The required value of the x in the given right angle triangle is 7.87 unit.
What is a right angle triangle?A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or any other angle is a right angle.
In the given triangle,
The given side is 12 unit,
And the angle is 41°.
For any triangle having sides a, b and c and corresponding angles are ∠ A, ∠ B, and ∠ C.
sine formula can be given as,
[tex]\frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC}[/tex]
Since, in the given right angle triangle, one angle is 41° and other angle is 90°.
And their corresponding sides are x unit and 12 unit.
Therefore, sine formula can be applied here,
[tex]\frac{x}{sin41} = \frac{12}{sin90}[/tex]
[tex]\frac{x}{0.656} = \frac{12}{1}[/tex]
x = 7.87
The required value of x is 7.87 unit.
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a certain star is 3.6 x 10^2 light years from the earth. one light year is about 5.9 x 10^12 miles how far from the earth in miles is the star
The earth is 21.24 x 10¹⁴ miles far from the star.
What are the light years?
A light-year is a significant length measure that is used to express astronomical distances. It is around 9.46 trillion kilometers, or 5.88 trillion miles, in length.
We have given,
1 light year = 5.9 x 10¹² miles
Distance of the star = 3.6 x 10² light years
To get this we just convert the distance of the star in light years into miles.
3.6 x 10² light years x( 5.9 x 10¹² miles/1 light years)
We cancel out the lightyears and then we are left with:
3.6 x 10² light years x 5.9 x 10¹² miles
In dealing with scientific notation, when we multiply them we can treat the coefficients and exponents of 10 separately.
Coefficients:
3.6 x 5.9 = 21.24
Exponents of 10:
10² x 10¹² = 10⁽²⁺¹²⁾ = 10¹⁴
Then we combine them again to form:
21.24 x 10¹⁴ miles
Hence, the earth is 21.24 x 10¹⁴ miles far from the star.
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Add 1.5 x 107 to 2.7 x 10.
the statement says that you’ve triggered the penalty apr so that it has now increased to 28.99%. what action triggered this?
If you failed to pay the minimum payment by the due date and are now being charged the penalty APR of 28.99%, your monthly interest charge on a balance of $1800 would be approximately $518.82. This is calculated as follows:
$1800 * (28.99% / 12 months) = $518.82However, it is important to note that this calculation is an estimate and the actual amount of interest you would owe in one month could be different, depending on factors such as the number of days in the billing period and the daily interest rate. It is also worth noting that you were charged $6.31 in interest for purchases, which is separate from the interest charged on your unpaid balance.
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The students in Franklin's class got to choose whether to visit the zoo or the aquarium. 9 students went to the zoo and 16 students went to the aquarium. What is the ratio of the number of students who went to the zoo to the total number of students?
Write your answer as a fraction. Use a forward slash ( / ) to separate the numerator and denomonator
Answer:
9/25
Step-by-step explanation:
total students = 9 + 16 = 25
ratio = 9/25
A spinner is divided into five equal sections labeled 1, 2, 3, 4, and 5. Another spinner is divided into two equal sections labeled A and B. Nigel will spin each spinner one time.
How many of the possible outcomes have a number less than 3 or an A?
A.) 9
B.) 5
C.) 7
D.) 2
Answer:
Step-by-step explanation
Man its hard...
Consider the following table. Is the relationship proportional? Explain your answer.
y
-27
12
57
147
-2
1
4
10
Answer:
The relationship shown in the table is not proportional. A proportional relationship is one in which the ratio of two quantities is always constant. In the table, we can see that the ratio of the values in the y column to the corresponding values in the x column is not constant. For example, the first two values in the y column are -27 and 12, which have a ratio of -27/1 and 12/2, respectively. These ratios are not equal, which indicates that the relationship is not proportional.
Furthermore, if the relationship were proportional, we would expect the values in the y column to increase at a consistent rate as the values in the x column increase. However, this is not the case in the table. For example, the first two values in the x column are 1 and 2, and the corresponding values in the y column are -27 and 12. The difference between these values is -27 - 12 = -39, which is a large negative value. However, the difference between the next two values in the y column is 57 - 147 = -90, which is a much larger negative value. This indicates that the relationship is not proportional, because the differences between the y values do not increase at a consistent rate as the x values increase.
Step-by-step explanation:
to calculate the expected risk premium on a stock, one must subtract the ________ from the stock’s expected return.
To calculate the expected risk premium on a stock, one must subtract the Inflation rate from the stock’s expected return.
How to complete the blank in the statement?From the question, we have the following parameters that can be used in our computation:
Expected risk premiumStock's expected returnMathematically, the relationship between the expected risk premium and the stock's expected return is represented as follows
Expected risk premium = Stock's expected return - Inflation rate
This means that the Inflation rate must be subtracted from the stock’s expected return to calculate the expected risk premium
Hence, the statement that completes the blank is Inflation rate.
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Which equation repreent the line that pae through the point (2, -8) and (-3, 2)?
The Equation represent the line that passes through the points (2, -8) and (-3, 2) is 2x + y + 4 = 0
Two point form is one of the important forms used to represent a straight line algebraically. The equation of a line represents each and every point on the line, i.e., it is satisfied by each point on the line.
The two point formula is used to represent a line algebraically using the coordinates of two points that lie on that line. The formula for two point form can be given as:
(y - y1) = m(x-x1) -----------(1)
where , m is slope of line given by => y2-y1/ x2 - x1
(x, y) is an arbitrary point on the line.
(x1, y1) and (x2 , y2) are coordinates of points lying on the line.
According to the question,
The required line passes through (2,-8) and (-3,2)
Slope : m = 2 - (-8) / -3 -2
=> m = 2+8/-5
=> m = 10/-5
=> m = -2
Substituting the values in equation (1)
(y - (-8)) = -2(x-2)
Solving,
=> y + 8 = -2x + 4
=> 2x + y + 4 = 0 is required equation of line
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Write the equation of the following lines in slope-intercept form
Answer:
Green Graph: y = x - 6
Red Graph: y = -3/2 + 7
Step-by-step explanation:
Slope intercept form is represented by the formula:
y = mx + b
m is your slope
b is the y intercept
Another thing to note is that, when m is negative, the graph will point to the left, while when m is positive in will point in the right
For the green graph, the line intercepts at -6, so that will be your b value.
the slope is positive 1 because if your count up from -6 and count across to point (1,-5) you get 1/1
Put these pieces of information in your formula and you get
y = x - 6
You can use the same process to find the equation of the red line. However, the slope will be negative since the graph is pointing to the left side of the coordinate plane.
Answer:
Graph 1: y = x - 6
Graph 2: y = -3/2 + 7
PLEASE HELP MEEEEEEE, GIVING 30 POINTS IF YOU SOLVE (MY THRID TIME REPOSTING THIS)
A rental car company charges $40.50 per day to rent a car and $0.15 for every mile driven. Elizabeth wants to rent a car, knowing that:
She plans to drive 125 miles.
She has at most $210 to spend.
Write and solve an inequality which can be used to determine x, the number of days Elizabeth can afford to rent while staying within her budget.
Answer: 4 days, more below
Step-by-step explanation:
40.50x + 0.15y < 210
(0.15)(125)=18.75
40.50x + 18.75 < 210
40.50x < 191.25
x < 4.7222222...
She can afford to rent the car for 4 days if she drives 125 miles and has 210$ to spend.
Could a scatter graph be used to represent the
data for each of the following? (Yes or No)
a) The heights of different buildings
b) People's favourite sports and their ages
c) The prices of houses and the number of
rooms they have
yes Answer:
Step-by-step explanation: yes
In the diagram below, quadrilateral STUV is inscribed in circle W. Find the
measure of U.
76⁰
3
W.
77°
The measure of U using the cyclic quadrilateral theorem is 104°.
Cyclic Quadrilateral theoremCyclic quadrilateral theorem states that the sum of the opposite angles of a cyclic quadrilateral is supplementary.
To calcculate the measure of U, we use the cyclic quadrilateral theorem.
From the diagram,
∠S+∠U = 180 (cyclic quadrilateral theorem)................... Equation 1Given:
∠S = 76°Substitute these values into equation 1 and solve for ∠U
∠U+76 = 180∠U = 180-76∠U = 104°Hence, the measure of U is 104°.
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Question 5
Given the values in table, write the equation for the line in slope-intercept form.
X
5
-5
-25
y
-4
-6
3
-10
Answer:
y = 1/5x -5
Step-by-step explanation:
Slope intercept form is y=mx + b where m is the slope and bb is the intercept. Let's find the slope first. This is rise over run, so we take the difference of two points' y-coordinates and divide it by the x-coordinates' difference.
This gives us [tex](-4--6)/(5--5)[/tex], or [tex]2/10[/tex], which simplifies to [tex]1/5[/tex]. This is our slope. Now we have y = 1/5x + b. We now plug in a point to this equation to get b. Plugging in (-25, -10) gives us [tex]-10 = 1/5*-25 + b[/tex], or [tex]-10 = -5 + b[/tex]. From this we get that b = -5. So, our equation is y = 1/5x -5
Feel free to contact me with any questions. I hope this helps!
Help with question 3
Answer:
3.75
Step-by-step explanation:
I BELIVE YOUR ANSWER IS 3.75
Answer:
3.75
Step-by-step explanation:
What is the solution to the system of equations below?
5/2x = y
2x+4/5y=8
A: No solution
B:16/9, 40/9
C: (3, 15/2)
D:(2,5)
Answer:
C
Step-by-step explanation:
[tex]\frac{5}{2}[/tex] x = y → (1)
2x + [tex]\frac{4}{5}[/tex] y = 8 → (2)
substitute y = [tex]\frac{5}{2}[/tex] x into (2)
2x + [tex]\frac{4}{5}[/tex] ([tex]\frac{5}{2}[/tex] ) = 8
2x + 2 = 8 ( subtract 2 from both sides )
2x = 6 ( divide both sides by 2 )
x = 3
substitute x = 3 into (1)
y = [tex]\frac{5}{2}[/tex] × 3 = [tex]\frac{15}{2}[/tex]
solution is (3, [tex]\frac{15}{2}[/tex] )
Write an equation in slope-intercept form of the line.
(Use integers or fractions for any numbers in the equation.)
Answer:
[tex]y=-\frac{1}{2} x+5[/tex]
Select the correct answer. Which of the following is a solution to 4cos2x − 1 = 0? A. 60° B. 150° C. 210° D. 330°
Answer:
60°A is correct
Given:
Divide by 4
Taking square root both sides
Hence, x=60° is correct
a certain spinner is divided into 6 sectors of equal size, and the spinner is equally likely to land in any sector. four of the 6 sectors are shaded, and the remaining sectors are not shaded.
The probability that one spin of the spinner will land in a shaded sector is 2/3.
What is meant by probability?The likelihood that something will happen is the straightforward definition of probability. When we are unsure of how an event will turn out, we might talk about the probabilities of various outcomes or how likely they are. The study of events subject to probability is referred to as statistics.
Probability is a branch of mathematics that deals with numerical representations of the likelihood of an event occurring or of a proposition being true.
When the spinner is released, there is a low likelihood that the part will rest on four.
Information: A particular spinner has equal-sized sectors, and it is equally likely to land in any of them. The remaining sectors are not coloured, and four of the sectors are shaded.
Four of the sectors are shaded, while the remaining sectors are not, according to the enigma.
The spinner has two unshaded areas and four shaded areas.
P(E)=4/6
P(E)=2/3
As a result, there is a simple 2/3 chance that the spinner will rest on four when it is spin.
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The complete question is:
"A certain spinner is divided into 6 sectors of equal size, and the spinner is equally likely to land in any sector. Four of the 6 sectors are shaded, and the remaining sectors are not shaded. What is the probability that one spin of the spinner will land in a shaded sector?"
2. Andrés has 165 baseball cards. He wants to share them equally with his 4 friends.
How many cards will each of his friends get?
Answer:
41
Step-by-step explanation:
NOTE:
The answer can't be a decimal number, because you can't split up cards into quarters like chocolate or bars.
METHOD 1:
Use long division to solve; 4 fits 4 times into 16, and 5 fits 4 times into 1; thus you get 41.
METHOD 2:
You could use it as a fraction, in which you will get 165/4, which as you simplify, is 41 1/4. Since there is no decimal, 1/4 must be removed.
Pedro has a balance of $5810 on a credit card with an APR of 16.2%. Paying
off his balance in which of these lengths of time will result in him paying the
least amount of interest?
O 1 Month
2 Months
3 Months
4 Months
The least amount of interest, if Pedro has a balance of $5810 on a credit card with an APR of 16.2%, is $78.345 for one month, so option A is correct.
What is interest?When the loan is given to you, then some amount is charged to you for the principal amount and that is called interest.
Given:
Pedro has a balance of $5810 on a credit card with an APR of 16.2%,
Calculate the simple interest for one month as shown below,
[tex]SI = P \times r \times t / 100[/tex]
SI = 5810 × 16. 2 × 1 / (12 ×100) [time in year = 1 / 12]
SI = $78.345
SI = 5810 × 16. 2 × 2 / (12 ×100) [For 2 months]
SI = $156.87
Therefore, the least amount of interest, if Pedro has a balance of $5810 on a credit card with an APR of 16.2%, is $78.345 for one month.
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