Therefore ,0.62097 % proportions of students scored at least 27 points on this test
What do you learn from z-scores?The Z-score provides information on how far a given value deviates from the standard deviation. The Z-score, also known as the standard score, indicates how many standard deviations above or below the mean a specific data point falls. The level of variability within a particular data collection is effectively reflected in the standard deviation.
Here,
z = (x - μ)/σ
here ,raw score =x ,standard deviation=σ and mean= μ
μ = 22, σ = 2
For x > 27:
z = (27 - 22)/2 = 1
P(z > 1) = 1 - P(z < 1) = 1 - 0.99379 = 0.0062097
Therefore , 0.62097 % of students scored at least 27 points on this test
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A photo is 16in long and 126cm wide.what is the approximate area of the picture in square feet?
The picture has the dimension of a rectangle and will have the area of 66.166 in square feet.
How to calculate for the areaWe have to convert the length and width to be in same unit, before calculating for the area by multiplying the length by the width, and then convert the result to be in square feet.
1 cm = 0.394 inches
126 cm = 126 × 0.394 inches
126 cm = 49.644 inches
So the picture has length 16 inches and width 49.644 inches
area of picture = 16 inches × 49.644 inches
area of picture = 794.304 square inches
1 inch = 0.0833 feet
794.304 square inches = 794.304 × 0.0833 square feet
794.304 square inches = 66.166 square feet.
In conclusion, the picture has an area of 66.166 square feet.
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How do I solve -3x-2y=5 and get the initial value and rate of change.
Answer:
-3/2
Step-by-step explanation:
[tex]-3x-2y=5 \\ \\ 3x+2y=-5 \\ \\ 2y=-3x-5 \\ \\ y=-\frac{3}{2}x-\frac{5}{2}[/tex]
A cryotherapy chamber uses extreme cold to reduce muscle soreness. A chamber is currently 0°F. The temperature in the chamber is dropping 2.5°F every second. Identify an inequality that represents the numbers of seconds $s$ that can pass for the temperature to drop below -20 °F
Answer: The answer is $s$ > 7, which represents the number of seconds that can pass for the temperature in the cryotherapy chamber to drop below -20°F.
Step-by-step explanation: The temperature in the chamber will drop below -20°F when it reaches -20°F + 2.5°F = -17.5°F.
The temperature in the chamber is currently 0°F, so we can represent this situation with the inequality 0 - (2.5 * $s$) < -17.5, where $s$ is the number of seconds that can pass.
We can simplify this inequality by multiplying both sides by -1 to get the following: 2.5 * $s$ > 17.5.
Dividing both sides by 2.5, we get the final inequality: $s$ > 7.
Therefore, the number of seconds $s$ that can pass for the temperature in the cryotherapy chamber to drop below -20°F is greater than 7 seconds.
a student needs 11 more classes to graduate. if she has met the prerequisites for all the classes, how many possible schedules for next semester could she make if she plans to take 4 classes?
We can conclude that the number of possible schedules for next semester could she make is 7920.
In more mathematical terms, the factorial of a number (n!) is equal to
n(n-1). For example, if you want to calculate the factorial for four, you would write: 4! = 4 x 3 x 2 x 1 = 24.
Given that,
The student needs 11 more classes to graduate.
And, possible schedules for next semester could she make if she plans to take 4 classes
Based on the given expression, the calculation is as follows:
The combination formula is given to be:
[tex]n_{C} _{r} =\frac{n!}{r!(n-r)!}[/tex]
= [tex]11_{C} _{4}[/tex] ! * 4 !
= [tex]\frac{11 !}{4!(11-4)!}[/tex] * 4 !
= [tex]\frac{11!}{4!7!}[/tex] * 4 !
= [tex]\frac{11*10*9*8*7*6*5*4*3*2*1}{4*3*2*1*7*6*5*4*3*2*1}[/tex] * 4 !
We can cancel the coefficients,
= [tex]\frac{11*10*9*8}{4*3*2*1}[/tex] * 4 !
= [tex]\frac{7920}{24}[/tex] * 4 !
= 330* 4 !
= 330 * 4*3*2*1
= 7920
Therefore,
We can conclude that the number of possible schedules for next semester could she make is 7920.
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O
Given the function defined in the table below, find the average rate of change, in
simplest form, of the function over the interval 0≤x≤ 4.
x
0
1
2
32
4
5
3
6
12
24
48
96
The average rate of change of the function at the interval 0 ≤ x ≤ 4 is 11.25
How to determine the average rate of changeFrom the question, we have the following parameters that can be used in our computation:
x 0 1 2 3 4 5
y 3 6 12 24 48 96
The interval is given as
0 ≤ x ≤ 4
On the table, we have
x = 0 and y = 3
x = 4 and y = 48
This means that
f(0) = 3 and f(4) = 48
The average rate of change is then calculated as
Average rate of change = [f(4) - f(0)]/[4 - 0]
Substitute the known values in the above equation, so, we have the following representation
Average rate of change = [48 - 3]/[4 - 0]
Evaluate
Average rate of change = 11.25
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What is the cubic polynomial with zeros (3,0), (-6,0), and (1,0)?
Question 15
The cubic polynomial with zeros (3,0), (-6,0) and (1,0) is given as follows:
D. x³ + 2x² - 21x + 18.
How to obtain the cubic polynomial?We are given the zeros of the polynomial, which then can be obtained using the Factor Theorem.
The zeros of the polynomial are given as follows:
x = 3, x = -6, x = 1.
Then, applying the Factor Theorem, considering a leading coefficient of 1, the polynomial is given as the product of it's linear factors as follows:
(x - 3)(x + 6)(x - 1)
(x² + 3x - 18)(x - 1)
x³ + 2x² - 21x + 18.
Meaning that option D is correct.
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miguel is mixing up a salad dressing. regardless of the number of servings, the recipe requires that 58 of the finished dressing mix be olive oil, 14 vinegar, and the remainder an even mixture of salt, pepper and sugar. if miguel accidentally doubles the vinegar and forgets the sugar altogether, what proportion of the botched dressing will be olive oil?
44 is the proportion of the botched dressing will be olive oil.
Given, Miguel is mixing up a salad dressing. regardless of the number of servings,
the recipe requires that 58 of the finished dressing mix be olive oil, 14 vinegar, and the remainder an even mixture of salt, pepper and sugar. if he accidentally doubles the vinegar and forgets the sugar altogether,
we have to find the proportion of the botched dressing that will be olive oil.
first we will find the amount of the even mixture of salt, pepper and sugar.
as, olive oil + vinegar + even mixture of salt, pepper and sugar = 100
58 + 14 + mixture of salt, pepper and sugar = 100
mixture of salt, pepper and sugar = 100 - 72
mixture of salt, pepper and sugar = 28
if he mixed doubles of the vinegar i.e. 28 then olive oil be,
x + 28 + 28 = 100
x = 100 - 56
x = 44
Hence, 44 is the proportion of the botched dressing will be olive oil.
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52% of 128 is what?
Mia went into a grocery store and where they sell apples for $2 each and mangos $1.50 each. Let x represent the number of apples and y represent the number of mangos she can buy.
Problem part 1: Mia has $20 to spend. Which inequality can be used to represent this situation?
Problem part 2: If Mia decided to buy 3 mangos, determine the maximum number of apples that she could buy.
The inequality that can be used to represent this situation is 2x + 1.50y ≤ 20.
The maximum number of apples she can buy is 7 apples.
How to represent inequality?Mia went into a grocery store and where they sell apples for $2 each and mangos $1.50 each.
where
x = number of applesy = number of mangoesTherefore, let's represent the inequality when Mia has to spend 20 dollars.
2x + 1.50y ≤ 20
If Mia decide to buy 3 mangoes , the maximum number of apples she can buy can be calculated as follows:
2x + 1.50y ≤ 20
2x + 1.50(3) ≤ 20
2x + 4.5 ≤ 20
2x ≤ 20 - 4.5
2x ≤ 15.5
x ≤ 15.5 / 2
x ≤ 7.75
Therefore, the maximum she can buy is 7 apples.
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A website offers a coupon to 50\%50%50, percent of its visitors, selected at random, each day. Yasemin visits the website for 444 days. What is the probability that yasemin will not be offered a coupon on at least one of the days she visits the website? round your answer to the nearest hundredth. P(\text{at least one day without coupon})=p(at least one day without coupon)=p, left parenthesis, start text, a, t, space, l, e, a, s, t, space, o, n, e, space, d, a, y, space, w, i, t, h, o, u, t, space, c, o, u, p, o, n, end text, right parenthesis, equals.
The probability that Yasmin will not be offered a coupon on at least one of the days she visits the website will be;
⇒ 0.9375
What is mean by Probability?The term probability refers to the likelihood of an event occurring
Given that;
The probability that a visitor is offered a coupon (p) = 50%
Now,
Since, The probability that a visitor is offered a coupon (p) = 50%
Hence, The probability that he gets coupon all 4 days is,
⇒ p (4) = p⁴
⇒ p (4) = (50%)⁴
⇒ p (4) = 0.0625
Hence, By using the complement rule, the probability that he is not offered a coupon at least one day is,
⇒ p' = 1 - 0.0625
⇒ p' = 0.9375
Thus, The probability that Yasmin will not be offered a coupon on at least one of the days she visits the website = 0.9375
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the mass of a radioactive substance follows a continuous exponential decay model. a sample of this radioactive substance has an initial mass of and decreases continuously at a relative rate of per day. find the mass of the sample after two days.
The initial mass of the sample after two days = 8483.45 kg
Given that,
It is known as exponential decay when a population or group of something is deteriorating and the quantity of decline is proportional to the size of the population. In an exponential decay, the overall value falls but the percentage that departs stays the same throughout time.
The exponential decay formula aids in determining the exponential drop, which is a rapid reduction over time. To calculate population decay, half-life, radioactivity decay, and other phenomena, one uses the exponential decay formula.
The standard formula for this type of behavior which is written below:
A = [tex]Pe^{-rt}[/tex]
Where
A refers the amount left after time t
P refers the initial amount at t = 0
r refers the rate
Here we have given that the mass of a radioactive substance follows a continuous exponential decay model, with a decay rate parameter of per day.
A sample of this radioactive substance was taken after two days.
And we need to find if the sample has a mass of today, then the initial mass of the sample.
Now, we have to substituting the values,
Let us assume,
P = 9575 kg
r = 0.12
t = 1
Then we get the equation as,
A = (9575 kg) [tex]e^{-0.12*1}[/tex]
When we simplify this one, then we get,
A = (9575 kg) [tex]e^{-0.12}[/tex]
A = (9575 kg) 0.886
A = 8483.45 kg
Therefore,
The initial mass of the sample after two days = 8483.45 kg
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please help me I don’t get this
The operations between functions are:
a) h(f(3)) = 5
b) (f×g)(4) = -8
c) f( g(h(0))) -1
How to operate with functions?
The first thing we want to find is a composition, we want to find:
h(f(3))
That means that we need to evaluate h(x) in f(3), look at the graph and you can see that f(3) = -4
Replacing that we get:
h(f(3)) = h(-4)
And on the graph, we can see that h(-4) = 5
then h(f(3)) = 5
b) Now we have the product:
(f×g)(4) = f(4)*g(4)
Again, looking at the graph:
f(4) = -4
g(4) = 2
Then:
(f×g)(4) = f(4)*f(4)
(f×g)(4) = -4*2
(f×g)(4) = -8
c) Finally we have other composition:
f( g(h(0)))
So we have 2 compositions, first we find:
h(0) = 5
f( g(h(0))) = f(g(5))
Then:
g(5) = 0
f( g(5)) = f(0)
Finally, look at the graph and you can see that f(0) = -1
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Which equations are true for x = –2 and x = 2? Select two options
O x2 – 4 = 0
O x2 = –4
O 3x2 + 12 = 0
O 4x2 = 16
O 2(x – 2)2 = 0
The only two options with equations that are true for x = –2 and x = 2 are;
Option A: x² - 4 = 0
Option D: 4x² = 16
How to identify the correct domain value?The domain of a function is the set of all input values for which the function is possible.
Now, we are given the domain values as x = –2 and x = 2.
a) x² - 4
f(-2) = (-2)² - 4
= 0
f(2) = (2)² - 2
= 0
b) x² = -4
f(-2) = (-2)²
= 4
f(2) = (2)²
= 4
c) 3x² + 12
f(-2) = 3(-2)² + 12
= 24
f(-2) = 3(2)² + 12
= 24
d) 4x²
f(-2) = 4(-2)²
= 16
f(2) = 4(2)²
= 16
e) 2(x - 2)²
f(-2) = 2(-2 - 2)²
= 32
f(2) = 2(2 - 2)²
= 0
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Which ordered pair is a solution of the
equation?
-3x + 5y = 2x + 3y
Answer:
Solve the equation for [tex]{y}[/tex].
[tex]y=\frac{5x}{2}[/tex]
Choose any value for [tex]{x}[/tex] that is in the domain to plug into the equation.
Choose [tex]{0}[/tex] to substitute in for [tex]{x}[/tex] to find the ordered pair.
[tex]{(0,0)}[/tex]
Choose [tex]{1}[/tex] to substitute in for [tex]{x}[/tex] to find the ordered pair.
[tex](1,\frac{5}{2})[/tex]
Choose [tex]{2}[/tex] to substitute in for [tex]{x}[/tex] to find the ordered pair.
[tex]{(2,5)}[/tex]
These are three possible solutions to the equation.
[tex]{(0,0),}[/tex] [tex](1,\frac{5}{2} )[/tex], [tex]{(2,5)}[/tex]
(5 points)
If ABCD is a parallelogram, what is the measure of
D
A/9x + 5
16x
C
B
If ABCD is a parallelogram, then the measure of D is 68
From the property of parallelogram the opposite angels are equal so < DAB = < DCB so < DAB will become 16x.9x + 5 + 16x(<DAB) = 180 ....... because it is straight line.
25x + 5 = 180
25x = 180 - 5
25x = 175
x = 7
now let's substitute in the angle < DAB( 16x): 16 × 7= 112To get < ADC lets use the property of parallelogram which says that adjacent angles are supplementary. which means<ADC+ <DAB= 180
<ADC+ 112 = 180
< ADC= 180 - 112
< ADC = 68
Therefore, the measure of D is 68
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Help meee please !!!???
Answer:
Step-by-step explanation:
it is c
Ramón makes nectar for a hummingbird feeder by mixing 8 cups of water with 2 cups of sugar. Tiffany makes nectar by mixing 9 cups of water with 3 cups of sugar. Whose nectar is more sugary? Explain.
Answer: Tiffany
Step-by-step explanation: Ramon Ratio 8:2 can be reduced to 1 cup of sugar every 4 cups of water. Tiffany Ration is 9:3 which is reduced to 1 cup of sugar every 3 cups of water.
What is the solution of the equation x2 - 12x = 8?
The solution of the equation is x = 6±2√11.
What is a quadratic equation?
The quadratic formula in elementary algebra is a formula that yields the answer to a quadratic problem. In addition to the quadratic formula, other methods of solving quadratic equations include factoring, completing the square, graphing, and others.
Here, we have
Given: x² - 12x = 8
Now, we factorize the given equation and find the solution.
x² - 12x = 8
x² - 12x - 8 = 0
We apply here the quadratic formula.
= (-b ±√b²-4ac)/2
= (12 ±√12²-4×1×(-8))/2
= (12±√144+32)/2
= (12±√176)/2
= (12±4√11)/2
= 6±2√11
Hence, the solution of the equation x² - 12x = 8 is 6±2√11.
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Which of the following equations has a solution of −7?(1 point)
4x−23=5
5x+11=−24
−x+3=−4
−3x−8=−29
4 Describe at least two different transformations or sequences of transformations that
transform square A to square B.
The orientation of ABCD is clockwise, as is the orientation of A'B'C'D'. This means the transformation involves a even number of reflections (may be 0).
Does the order of transformations matter in functions?
Order is not important. According to algebra, y=12f (x3). Our four transformations are (1), (3), (2), and (4); all four are in the x direction. When we combine a stretch and a translation in the same direction, the sequence counts.
The orientation of AB is North, and the orientation of A'B' is West, so a rotation of 90° CCW (or equivalent) is involved. We can find the point of intersection of the perpendicular bisectors of AA' and BB' (at (-1, -1)) to determine a suitable center of rotation.
ABCD can be transformed to A'B'C'D' by ...
rotation 90° CCW about the point (-1, -1)
Rotation by 90° can also be accomplished by reflection across a diagonal line. Since we want the orientation to remain unchanged, we need another reflection to put the figure into its final position. A suitable alternate sequence for mapping ABCD to A'B'C'D' is ...
reflection across the line y=x
reflection across the line x=-1
Complete question: A.) Describe a transformation sequence that will transform quadrilateral ABCD into quadrilateral A’B’C’D’.
b.) There is more than one way to transform quadrilateral ABCD into quadrilateral A’B’C’D’. Describe a second sequence of transformations that will accomplish this goal. Explain what tool you used as an aid in identifying a transformation sequence.
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suppose the specialist wants to know the number of suspicious transactions that will need to be reviewed until reaching the first transaction that will be blocked. (i) define the random variable of interest and state how the variable is distributed. (ii) determine the expected value of the random variable and interpret the expected value in context.
i) The random variable is the number of suspicious transmissions reviewed until finding the first blocked one and the random variable is distributed usinng geometric distribution
ii) The expected value of the random variable: 2.5 which means the specialist will review 2.5 suspicious transactions on average before finding the first transmission that will be blocked.
In this question we have been given a fraud detection system identifies suspicious transactions and sends them to a specialist for review. The specialist reviews the transaction, the customer profile, and past history.
Based on past history, the specialist blocks 40 percent of the suspicious transactions.
so, p = 0.40
i. Let X represent the number of suspicious transmissions reviewed until finding the first blocked one.
We will use a geometric distribution to model the first transmission.
ii. We know that according to the geometric model the expected value of the random variable would be.
E(X) = 1/p ,
= 1/0.4
= 2.5
This means, the specialist will review 2.5 suspicious transactions on average before finding the first transmission that will be blocked.
Therefore, i) the random variable: the number of suspicious transmissions reviewed until finding the first blocked one.
ii) the expected value of the random variable: 2.5
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The complete question is:
At a financial institution, a fraud detection system identifies suspicious transactions and sends them to a specialist for review. The specialist reviews the transaction, the customer profile, and past history. If there is sufficient evidence of fraud, the transaction is blocked. Based on past history, the specialist blocks 40 percent of the suspicious transactions. Assume a suspicious transaction is independent of other suspicious transactions.
Suppose the specialist wants to know the number of suspicious transactions that will need to be reviewed until reaching the first transaction that will be blocked.
(i) Define the random variable of interest and state how the variable is distributed.
(ii) Determine the expected value of the random variable and interpret the expected value in context.
Complete the equation of the line whose yyy-intercept is (0,-1)(0,−1)left parenthesis, 0, comma, minus, 1, right parenthesis and slope is 444.
The complete equation in the slope-intercept form is y = 4x-1.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
So, the equation is,
y - y₁ = m (x - x₁)
And the standard form of the slope-intercept form:
y = mx+b,
where m is the slope and b is the y-intercept.
From the question, we have
m = 4 and coordinates of b is (0, -1).
So, the equation is,
y + 1 = 4 (x - 0)
y +1 = 4x
y = 4x-1
Therefore, the equation is y = 4x-1.
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A triangle with coordinates (1,1) (4,2) (3,5) is translated three units down and five units to the left
A triangle with coordinates (1,1) (4,2) (3,5) is translated three units down and five units to the left. New coordinates will be (-4,-2), (-1,-1),(-2, 2).
Define translation.A translation is a geometric change in Euclidean geometry that involves moving each point in a figure, shape, or space by the same amount in one direction. A translation can also be thought of as moving the origin of the coordinate system or as adding a constant vector to each point.
Given
A triangle with coordinates (1,1) (4,2) (3,5)
The value of a coordinate is impacted by translations left or right but not by translations up or down or left or right.
We multiply all of the numbers by 3 since we are translating the entire triangle down three units.
Additionally, we are converting the entire triangle to left-to-right units of five, thus we will multiply all values by 5.
A = (1 - 5, 1 - 3)
B = (4 - 5, 2 -3)
C = (3 - 5, 5 - 3)
New coordinates will be:
A = (-4,-2)
B = (-1,-1)
C = (-2, 2)
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By rounding to 1 significant figure, estimate
101
×
52
The significant figure by multiplying 101 with 52 is 5000.
What is significant figures?The number of digits in a value, often a measurement, that contribute to the degree of accuracy of the value is referred to as significant figures. At the first non-zero digit, we begin counting significant figures.A number's first significant figure is the first digit that is not zero.To round to the nearest one, ten, hundred, thousand, and so on, change all digits to the right of the rounding digit to zeroes.Here given,
101 x 52
Round 101 to 100 and 52 to 50, then multiply together to get 5000.
Significant Figures: 1
Decimals: 0
The significant notation: 5e+3
Therefore the significant notation is 5000.
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PLEASE HELP ME!!!!!! THIS IS DUE ON FRIDAY!!!!!! (There is another part)
Answer:
it's c trust me I had the same problem
Given the following exponential function, identify whether the change represents
growth or decay, and determine the percentage rate of increase or decrease.
y = 10(1.01)
The given exponential function represents the growth in the function. The percentage of growth (increase) is 1%.
What is the exponential growth function?An exponential growth function is a function where the quantity increases slowly and after some time, it increases rapidly.
It is represented by the formula,
y = a(1 + r)ˣ
Here the term 'a' is the initial amount of the quantity, the term 'r' is the rate of increase and the term 'x' is the period.
Calculation:The given exponential function is y = 10(1.01)ˣ
Here we can write the function as
y = 10(1.01)ˣ
⇒ y = 10(1 + 0.01)ˣ
Since 1.01 > 1, it is an exponential growth function.
So, when comparing with the formula, we get the rate of increase,
r = 0.01
Converting it into fractions, we get 1/100
Then, the percentage rate of increase is 1%.
Therefore, the given exponential function grows with a rate of 1% increase.
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One morning, Adrian stood tall and had a friend measure his shadow on the sidewalk. Adrian's friend also measured from the top of Adrian's head to the tip of his shadow. The diagram below shows these measurements. How tall is Adrian? A 4.5 ft B 5 ft C 5.5 ft D 6 ft
The length of Adrian's shadow measured by his friend and the distance directly from Adrian's head to the tip of his shadow can be used to find Adrian's height using Pythagorean Theorem. Using an example of the measurement values, Adrian's height is about 5.5 feet
What is Pythagorean Theorem?Pythagorean Theorem states that the sum of the square of the lengths of the legs of a right triangle is equal to the square of the length of the hypotenuse side.
The diagram in the question appears left out. Please find attached a drawing made using the measurement lengths in the following example, created with MS Word.
The measurements Adrian had his friend to do are;
The length of Adrian's shadow on the sidewalk and the length from Adrian's head to the tip of the shadow.
Let x represent the length of Adrian's shadow, let r represent the distance from Adrian's head to the tip of the shadow, and let y represent Adrian's height
According to Pythagorean Theorem, we get;
r² = x² + y²
Therefore, the Adrian's height, h = √(r² - x²)
When r ≈ 8.14, and x = 6, we get;
h = √(8.14² - 6²) ≈ 5.5
Adrian's height is about 5.5 feet in the example situation
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Find the surface area 5 4 7 6 8 triangular
The surface area of the triangular prism is 136 square units
How to determine the surface areaFrom the question, we have the following parameters that can be used in our computation (see attachment):
Rectangles (2) = 7 units by 5 unitsRectangles (1) = 7 units by 6 unitsTriangles (2) = 4 units by 6 unitsThe surface area of the triangular prism is the sum of the areas of the above shapes
So, we have
Surface area = 2 * area of rectangle 1 + 1 * area of rectangle 2 + 2 * area of triangle 1
Substitute the known values in the above equation, so, we have the following representation
Surface area = 2 * 7 * 5 + 1 * 7 * 6 + 2 * 0.5 * 4 * 6
Evaluate
Surface area = 136
Hence, the surface area is 136 square units
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2
Write the answer in each blank.
Of these numbers
745 281 578 170
is the smallest
is the largest
Answer:
170 is the smallest
745 is the largest
Step-by-step explanation:
It is what it is
Answer question #8
Give a short answer responding the question that’s being asked
The response written in the box isn’t correct so I need help
The conclusion is that the angle which measures 120° is not Acute angle.
What are angles ?The construction of an angle is a type of geometric shape made by connecting two rays at their termini. Three letters that make up the form of the angle can alternatively be used to symbolise the angle, with the middle letter indicating the location of the angle (i.e.its vertex). Greek characters such θ, α, β, etc. are frequently used to denote angles.
In geometry, there are mainly six different kinds of angles. All angles have the following names and characteristics:
The acute angle ranges from 0° to 90°.The obtuse angle ranges from 90° to 180°.Right Angle: The angle that is 90 degrees precisely.Direct Angle: the angle that is exactly 180 degreesReflex Angle: The angle between 180 degrees and 360 degrees that is bigger than 180 degrees.360-degree full rotation: The whole rotation of an angle.Angle B measures 120°.
Here the angle is more than 90° so the angle is not acute.
The conclusion is that the angle which measures 120° is not Acute angle.
To learn more about angles refer to :
https://brainly.com/question/10334248
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