Answers
Answer:
B
Step-by-step explanation:
area of the full piece of pie. π(8)²*60/360 (we know 60°, because it's an equilateral triangle)
32π/3
now subtract the area of the triangle
1/2(8)(4√3) = 16√3
32π/3 - 16√3
Related Questions
Simplify the expression. (6x – 5) + (4x2 – 3x + 4)
Answers
[tex](6x - 5) + (4x^2- 3x + 4)=\\6x-5+4x^2-3x+4=\\4x^2+3x-1[/tex]
what is 136 1/50% of 231
Answers
Answer:
Step-by-step explanation:
136 1/50 % of 231 = 6801/50 % * 231
[tex]=\frac{6801}{50*100}*231\\\\\\=\frac{1571031}{5000}[/tex]
= 314.2062
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Answers
Answer:
2/5
Step-by-step explanation:
First for the sum:
3/5 + 1/5 i + 4/5 - 2/5 i = 7/5 - 1/5 i
Now for the difference
9/5 - 1/5 i - (7/5 - 1/5 i)
= 9/5 - 1/5 i - 7/5 + 1/5 i
= 2/5 , which is the answer :)
The answer is 2/5.
To find the fraction bar in the box.
What is fraction?A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.
Given that:
First for the sum:
3/5 + 1/5 i + 4/5 - 2/5 i = 7/5 - 1/5 i
Now substract the sum,
9/5 - 1/5 i - (7/5 - 1/5 i)
= 9/5 - 1/5 i - 7/5 + 1/5 i
= 2/5
So, the answer is 2/5.
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Convert to slope-intercept from: y-3=6(x-5)
Answers
Answer:
y = 6x -27
Step-by-step explanation:
y-3=6(x-5)
Distribute
y-3 = 6x-30
Add 3 to each side
y-3+3 = 6x-30+3
y = 6x -27
This is in slope intercept form y=mx+b where m is the slope and b is the y intercept
Hey there! I'm happy to help!
Slope intercept form is y=mx+b. So, the first thing we want to do is isolate y on side of the equation.
y-3=6(x-5)
We use distributive property to undo parentheses.
y=3=6x-30
We add 3 to both sides.
y=6x-27
Now, this in slope intercept form.
Have a wonderful day! :D
if polynomial ax3 + 3x2 - 3 and 2x3 - 5x + a leaves the same remainder when each is devided by x - 4 find the valuse of a
Answers
Answer:
a = 1
Step-by-step explanation:
Given that both ax³ + 3x² - 3 and 2x³ - 5x + a have the same remainder when divided by x - 4.
x - 4 = 0
x = 4
When ax³ + 3x² - 3 is divided by x - 4, the remainder is gotten by substituting x = 4:
a(4)³+3(4)²-3 = 64a + 48 - 3 = 64a + 45
The remainder is 64a³ + 45
For 2x³ - 5x + a we find the remainder by substituting x = 4:
2(4)³ - 5(4) + a = 128 - 20 + a = 108 + a
Since they both have the same remainder, therefore:
64a + 45 = 108 + a
64a - a = 108 - 45
63a = 63
a = 1
Please help me understand this number sequence
Answers
Answer:
Step-by-step explanation:
A=a(r)^t
a=1
time=2.5 hours=25/10 ×60=150 minutes
10t=150
t=150/10=15
[tex]A=1(2)^{15}=32,768[/tex]
Two interior angles of a convex pentagon are right angles and the other three interior angles are congruent. in degrees, what is the measure of one of the three congruent interior angles?
Answers
Answer:
[tex]120^{0}[/tex]
Step-by-step explanation:
Given: pentagon (5 sided polygon), two interior angles = [tex]90^{0}[/tex] each, other three interior angles are congruent.
Sum of angles in a polygon = (n - 2) × [tex]180^{0}[/tex]
where n is the number of sides of the polygon.
For a pentagon, n = 5, so that;
Sum of angles in a pentagon = (5 - 2) × [tex]180^{0}[/tex]
= 3 × [tex]180^{0}[/tex]
= [tex]540^{0}[/tex]
Sum of angles in a pentagon is [tex]540^{0}[/tex].
Since two interior angles are right angle, the measure of one of its three congruent interior angles can be determined by;
[tex]540^{0}[/tex] - (2 × [tex]90^{0}[/tex]) = [tex]540^{0}[/tex] - [tex]180^{0}[/tex]
= [tex]360^{0}[/tex]
So that;
the measure of the interior angle = [tex]\frac{360^{0} }{3}[/tex]
= [tex]120^{0}[/tex]
The measure of one of its three congruent interior angles is [tex]120^{0}[/tex].
Someone please help me fast !!
Answers
A standard deck of 52 playing cards contains 13 cards in each of four suits: hearts, diamonds, clubs, and spades. Four cards are drawn from the deck at random. What is the approximate probability that exactly three of the cards are diamonds? 1% 4% 11% 44%
Answers
Answer:
4%
Step-by-step explanation:
There are ₁₃C₃ ways to choose 3 diamonds from 13.
There are ₃₉C₁ ways to choose 1 non-diamond from 39.
There are ₅₂C₄ ways to choose 4 cards from 52.
Therefore, the probability is:
₁₃C₃ ₃₉C₁ / ₅₂C₄
= 286 × 39 / 270,725
≈ 0.04
The approximate probability that exactly three of the cards are diamonds is 4%.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
We are given that standard deck of 52 playing cards contains 13 cards in each of four suits: hearts, diamonds, clubs, and spades.
Since we can see that there are ₁₃C₃ ways to choose 3 diamonds from 13.
₃₉C₁ ways to choose 1 non-diamond from 39.
₅₂C₄ ways to choose 4 cards from 52.
Therefore, the probability is:
₁₃C₃ ₃₉C₁ / ₅₂C₄
= 286 × 39 / 270,725
≈ 0.04
Therefore, the answer could be 4 percent.
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The graph of a quadratic function intercepts the x-axis in two places and the y-axis in one place. According to the fundamental theorem of algebra, which of the following statements is correct? A. The quadratic function has no real zeros and two complex zeros. B. The quadratic function has one distinct real zero and one distinct complex zero. C. The quadratic function has two distinct real zeros and one distinct complex zero. D. The quadratic function has two distinct real zeros.
Answers
Answer: D. The quadratic function has two distinct real zeros.
There are no complex roots as a quadratic's roots are maxed out at 2. The fundamental theorem of algebra says that if you have an nth degree polynomial, then the max number of real roots is n.
This quadratic's roots are distinct because the two x intercepts are in different places. Each x intercept is a root.
How to do this question plz answer me step by step plzz
Answers
Answer:
Hope it helps U can still ask me if u have confusions
Answer:
60+16√30 cm² ≈ 147.64 cm²
Step-by-step explanation:
You can figure the height of the object from ...
V = Bh
120 cm^3 = (30 cm^2)h
4 cm = h . . . . . divide by 30 cm^2
However, this is insufficient to tell you the surface area.
__
If you assume that the base is square, then its side length is
A = s^2
s = √A = √(30 cm^2) = (√30) cm
The lateral surface area can then be found from the perimeter of the base and the height
LA = Ph = (4√30 cm)(4 cm) = 16√30 cm^2
The total surface area will be the sum of this lateral area and the area of the two bases:
total area = 16√30 cm^2 +2·30 cm^2
total area = (60 +16√30) cm^2 ≈ 147.64 cm^2
__
For any other shape, the total area will be larger. It can be arbitrarily large, unless limits are put on the dimensions of the object.
Elena drank 3 liters of water yesterday. Jada drank 3/4 times as much water as much water as Elena. Lin drank twice as much water as Jada. Did jada drink more or less water than Elena?
Answers
Answer:
Jada drank less water than Elina.
Step-by-step explanation:
Water drunk by Elina = 3 liters
Jada drank the water [tex]\frac{3}{4}[/tex] times as much as water as Elina.
Therefore, water drunk by Jada = [tex]\frac{3}{4}\times 3[/tex]
= [tex]\frac{9}{4}[/tex]
= 2.25 liters
Lin drank water twice as much as Jada.
Therefore, Lin drank the amount of water = 2 × 2.25
= 4.5 liters
Since Jada drank 2.25 liters of water and Elina drank 3 liters
Therefore, Jada drank less water than Elina.
2(3x + 1) - (x - 5) = 42
Answers
Answer:
6x+2-1x+5=42
Step-by-step explanation:
Answer:
6x+2-x-5=42
Step-by-step explanation:
Convert the following: 2 liters is equivalent to ounces (rounded to the nearest hundredth)
Answers
Answer:
67.63 oz
Step-by-step explanation:
1 liter = 33.814 oz
2 litres = 2 x 33.814 oz = 67.628 oz
Mr. Evans is considering offering a second after-school tutoring session for his math students each week. He records the number of students who attend his current sessions each week. The results from the last twelve weeks are shown in the dot plot below.
Answers
Answer:
The correct options are:
Four families said they ate out twice the previous week.
One family said they ate out 5 times the previous week.
The median best represents the data set.
Step-by-step explanation:
We are given a data set as:
4, 2, 2, 0, 1, 6, 3, 2, 5, 1, 2, 4, 0, 1
On arranging this data set in the frequency table we get:
Number of times they went for dinner Number of families
0 2
1 3
2 4
3 1
4 2
5 1
6 1
Hence, the range of the number line is between 0 to 6.
Also there are 4 dots above 2.
Hence, Four families said they ate out twice the previous week.
Also there is one dot above 5.
Hence, One family said they ate out 5 times the previous week.
The data set is not symmetrical since the median is 2 and the data points to the left and to the right do not have symmetry.
Hence, the data set is not symmetrical.
Also we know that the median of the data is the central tendency of the data and always best represents the data.
Hence, The median best represents the data set.
Hope it helped u!.... Btw can u plz mark me BRAINLIEST.. If it helped u?
Tysm!
Answer: The data is skewed left option c
Step-by-step explanation: A set of data is skewed when the entries of the data set are either distributed more to the left or more to the right on the number line. In this case, most of the data lies to the right. Therefore, the data is skewed left.
23^3 (-12)^3 +(-11)^3 without actually calculating cubes
Answers
Answer:
9108
Step-by-step explanation:
23^3+(-12)^3+(-11)^3 remove parentheses
= 23^3-12^3-11^3 group difference of two cubes
= (23-12)(23^2+23*12+12^2) + 11^3 factor difference of two cubes
= 11 (23^2+23*12+12^2-11^2) factor ou 11
= 11(23(23+12) + (12+11)(12-11)) apply difference of two squares
= 11 (23*35+23*1) factor out 23
= 11(23*(35+1)) simplify
= 11*23*36 convert 11*23 into difference of 2 squares
= (17^2-6^2)*6^2 expand parentheses
= 102^2-36^2 evaluate squares
= 10404 - 1296 subtraction
= 9108
(no calculator required)
In an examination ,80%examines passed in english,70%In mathematics and 60% in both subjects.if 45 examines failed in both subject.
1.draw a venn-diagram to represent the above information .
2.find the number of examines who passed only one subject.
3.find the number of student who failed in mathematics.
Answers
Answer:
1. Please refer to attached diagram.
2. 135
3. 135
Step-by-step explanation:
Given that
80%examines passed in English, n(E) = 80%
70%In mathematics, n(M) = 70%
and 60% in both subjects, n(E [tex]\cap[/tex] M) = 60%
45 examines failed in both subject.
1. Venn Diagram is attached in the answer area.
One circle represents the pass examines in Maths and
Other circle represents the pass examines in English.
Rectangle represents the total number of examines that appeared for the exam.
Rectangle minus the area of union of circles represent the number of students who failed in both subjects.
2. To find the number of examines who passed in only one subject.
i.e. n(E) - n(E [tex]\cap[/tex] M) + n(M) - n(E [tex]\cap[/tex] M) = (80 - 60 + 70 - 60)% = 30%
Let us find the number of students who passed in atleast one subject:
[tex]n(E\cup M) = n(E) +n(M)-n(E \cap M)\\\Rightarrow n(E\cup M) = (80 +70-60)\% = \bold{90\%}[/tex]
So, number of students who failed in both subjects = 100 - 90% = 10% of total students = 45
So, total number of students appeared = 450
So, number of examines who passed in only one subject = 450 [tex]\times[/tex] 30% = 135
3. Number of students who failed in mathematics.
100% - Passed in Mathematics = 100% - 70% = 30% of 450 = 135
A fruit tray was served at a meeting. During the meeting, 4 out of 10 strawberries were eaten. Which model has a shaded region that represents the amount of strawberries eaten during the meeting?
Answers
Answer:
4 of the berries will be shaded
Step-by-step explanation:
The model that shows that 4 out of 10 strawberries were eaten is attached.
What is a expression? What is a mathematical equation? What is a fraction?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A fraction represents a part of a whole or, more generally, any number of equal parts. A fraction is written as - {x/y}, where [x] is numerator and [y] is denominator.We have, 4 out of 10 strawberries were eaten in a fruit tray.
Refer to the image attached. This model shows that the 4 out of 10 strawberries were eaten.
Therefore, the model that shows that 4 out of 10 strawberries were eaten is attached.
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Ссппер
What is the image of (7, -2) after a reflection over the line y = -x?
Answers
Answer:
(2, -7)
Step-by-step explanation:
please solve this question.
Answers
[tex]\left(\dfrac{1}{1+2i}+\dfrac{3}{1-i}\right)\left(\dfrac{3-2i}{1+3i}\right)=\\\\\left(\dfrac{1-2i}{(1+2i)(1-2i)}+\dfrac{3(1+i)}{(1-i)(1+i)}\right)\left(\dfrac{(3-2i)(1-3i)}{(1+3i)(1-3i)}\right)=\\\\\left(\dfrac{1-2i}{1+4}+\dfrac{3+3i}{1+1}\right)\left(\dfrac{3-9i-2i-6}{1+9}\right)=\\\\\left(\dfrac{1-2i}{5}+\dfrac{3+3i}{2}\right)\left(\dfrac{-3-11i}{10}\right)=\\\\\left(\dfrac{2(1-2i)}{10}+\dfrac{5(3+3i)}{10}\right)\left(\dfrac{-3-11i}{10}\right)=[/tex]
[tex]\dfrac{2-4i+15+15i}{10}\cdot\dfrac{-3-11i}{10}=\\\\\dfrac{17+11i}{10}\cdot\dfrac{-3-11i}{10}=\\\\\dfrac{-51-187i-33i+121}{100}=\\\\\dfrac{70-220i}{100}=\\\\\dfrac{70}{100}-\dfrac{220i}{100}=\\\\\boxed{\dfrac{7}{10}-\dfrac{11}{5}i}[/tex]
Of the students at Milton Middle School, 120 are girls. If 50% of the students are girls, how many total students are there at Milton Middle school
Answers
Explanation-multiply the amount of girls by two because they make up 50% of the school.
Joey went for 15 auditions. Out of those 15 auditions, he got called back for 30% of them. Approximately how many did he get called back for?
Answers
Answer:
2
Step-by-step explanation:
Basically,
You just have to find 30% of 15...
So
The formula is...
BASE x PERCENT= AMOUNT
x times 0.3= 15
0.3/15=0.02
0.02 x 100= 2
So
Joey got called back for approximately 2 auditions.
ASAP!!!!!!!!! PLEASE help me with this question! This is really urgent! No nonsense answers please.
Answers
Answer:
[tex]\huge\boxed{Option \ C}[/tex]
Step-by-step explanation:
∠CAD is the central angle and ∠CBD is the inscribed/circumference angle which means that
∠CAD = 2(∠CBD)
So, If ∠CBD = 55° then ∠CAD = 110°
Michael is trying to hang Christmas lights on his house. His house is 17 ft tall and the ladder leaning is 34 degrees above the ground. How long must the ladder be to reach the house? a 24 feet b 17 feet c 34 feet d 30 feet
Answers
Answer:
34 feet
Step-by-step explanation:
let length of ladder be x
[tex] \ \sin(34) = \frac{17}{x} [/tex]
[tex]x \sin(34) = 17[/tex]
[tex]x = \frac{17}{ \sin(34) } [/tex]
x = 32.131083564
Simplify 16k/7k a) k+23 b) 9k c) 23k d) 23k^2
Answers
Answer:
16/7
Step-by-step explanation:
16k / 7k
Divide the numbers
16/7
Divide the variables
k/k = 1
16/7
Find the value of a.
Answers
Explanation:
6a + 11 = 2a + 83
6a - 2a = 83 - 11
4a = 72
a = 72/4
a = 18
a = 18°
Step-by-step explanation:we have opposite angles =>
=> 6a + 11 = 2a + 83
6a - 2a = 83 - 11
4a = 72
a = 72 : 4
a = 18°
Write the last 4 digits of a telephone number (each digit MUST be different--ex. 5237). List all the 4-digit numbers you can make using those 4 digits.
Answers
Answer:
5040
Step-by-step explanation:
All the possible Numbers that can be placed in the last for places =0,1,2,3,4,5,6,7,8,9
If all the digits have be different , then
= 10 x 9 x 8 x 7
= 90 x 56
= 5040 are total no. of 4-digit numbers can be made using those 4 digits.
9e - 7 = 7e – 11
Please help!?,!;):)
Answers
Answer:
e=-2
Step-by-step explanation:
9e-7e=-11+7
2e=-4
e=-2
Mele earned scores of 75, 70, 92,95, and 97 points (a
total of 429 points) on the first 5 tests in Economics II
Solving which of the following equations for s gives
the score he needs to earn on the 6th test to average
exactly 85 points for all 6 tests?
+5=85
F. 429
G. 429
H. + 429
+5 = 85
= 85
J. S+429
= 85
6
K. S+ 429
85
100
Answers
Answer:
The equation for S which gives the score he needs to earn on the 6th test to average exactly 85 points for all 6 tests is;
S + 429 = 85 × 6
Step-by-step explanation:
The parameters given are;
The scores earned by Mele on the first five test in Economics II are;
75, 70, 92, 95, and 97 points
The total test points = 429 points
Therefore, the score, S, Mele needs to earn on the 6th test for him to get an average of exactly 85 points for the 6 tests is found as follows;
From the definition of average, μ = (Sum of data values)/(Number of data)
Sum of data values = S + 429
The number of data = 5 test + 6th test = 6
μ = 85 = (S + 429)/6
Therefore;
S + 429 = 85 × 6
Therefore, the equation for S which gives the score he needs to earn on the 6th test to average exactly 85 points for all 6 tests is S + 429 = 85 × 6.
- 4 = -17 + x
- 4 = - 17 + x
Answers
Answer:
x = 13
Step-by-step explanation:
- 4 = -17 + x
Add 17 to each side
- 4+17 = -17+17 + x
13 =x
Answer:
-4+17=x
13=x
you substitute and then solve for the answer
