Based on the calculations, the measure of angle YUV is equal to 42°.
What is a line segment?A line segment refers to a part of a line that is bounded by two (2) distinct points and it has a fixed length.
Based on the information given, we can deduce the following:
O is center of circle (∠YUO = 90°)The measure of arc UV is 84° (∠UOV = 84°)OU is equal to OV and equal to radius (∠OVU = ∠OUV)From triangle UOV, we have:
∠OUV + ∠OUV + ∠UOV = 180°
2OUV + 84 = 180
2OUV = 180 - 84
2OUV = 96
OUV = 96/2
OUV = 48°
Now, we can determine the measure of angle YUV:
∠YUV = ∠YUO - ∠OUV
∠YUV = 90 - 48
∠YUV = 42°.
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Answer:
42
Step-by-step explanation:
The Stock Market Nadia is a stockbroker. She earns 14% commission each week. Last week, she sold $6,800 worth of stocks. How much did she make last week in commission? If she averages that same amount each week, how much did she make in commission in 2011?
Answer:
she earns $1008 in commissions , hope this helps i did it
(Screenshot included Need answer fast) easy question for experts. Select the graph that matches the equation y = 2 4/7x − 3
Answer: B
Step-by-step explanation:
This equation is in y = mx + b form, also known as slope-intercept form.
First, we will look at the y-intercept. Our y-intercept is -3, so the line will hit the y-axis at -3. This rules options A and C as incorrect.
Next, we will look to the slope. The slope is positive, 2 4/7, so the line will be going "up the stairs" from the bottom left to the top right. This rules out option D as incorrect, leaving us with our answer: B.
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common-size analysis is another term used for a ____ analysis
The sun came out and the temperature quickly rose 18 degrees. the a thunderstorm hits and the temperature drops 6 degrees. the sun comes back out the temperature raises 12 degrees. the temperature is now 94 degrees. what was the starting temperature?
By solving a linear equation we will see that the initial temperature was 66 degrees.
What was the initial temperature?
Let's define T as the initial temperature.
First, it increases by 18 F, then it decreases 6 F, and finally, it increases another 12 F, such that the end temperature is 94F.
Then we can write:
T + 18F - 6F + 12F = 94F
Now we can solve that linear equation to find T.
T = 94F - 18F + 6F - 12 F = 66 F
In this way, we conclude that the initial temperature was 66 degrees.
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Solve the right triangle. Round all answers to the nearest tenth.
The trigonometric function gives the ratio of different sides of a right-angle triangle. The length of the side KL is 30.81 units.
What are Trigonometric functions?The trigonometric function gives the ratio of different sides of a right-angle triangle.
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
The measure of ∠J can be written as,
Cos(∠J) = JK/JL
Cos(∠J) = 7/31.6
∠J = 77.2°
Similarly the length of side KL can be written as,
Tan(∠J) = KL/JK
Tan(77.2°) = KL/7
KL = 30.81 units
Hence, the length of the side KL is 30.81 units.
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CONSTRUCTION Carlos is building a screen door. The height of the door is I foot more than twice its width. What is the width of the door if it is 7 feet high?
Answer:
width = 3 feetStep-by-step explanation:
Let h be the height of the door
and w be its width
The statement “The height of the door is I foot more than twice its width”
can be translated mathematically like this : h = 2w + 1
Let’s solve the equation for w:
h = 2w + 1
⇔ 2w = h - 1
[tex]\Leftrightarrow w=\frac{h-1}{2}[/tex]
now , if the door is 7 feet high then it’s width is equal to :
[tex]\Rightarrow \frac{7-1}{2} =\frac{6}{2} =3 \ ft[/tex]
Answer:
3 feet
Step-by-step explanation:
It mentions that the height of the door is 1 foot more than twice its width.
height (h) = 2 × width (w) + 1 footThe width of a door of height 7 feet will be :
7 feet = 2 × width (w) + 1 foot2× width (w) = 6 feetwidth (w) = 3 feet3
What is the quotient of and 3?
-
O -1/1/2
-100
110
118
The simplified quotient of 300 and 3 is 100
How to determine the quotient?The complete statement is given as:
What is the quotient of 300 and 3?
This is represented as:
Quotient = 300/3
Divide 300 by 3
Quotient = 100
Hence, the quotient of 300 and 3 is 100
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14. A bag contains 20 marbles. There are 4 blue
marbles, 10 green marbles, and 6 red marbles.
A marble is randomly selected from the bag. What is the
probability that the marble is red?
Answer:
30%, or 1/3
Step-by-step explanation:
If there are 20 total marbles, and 6 of them are red, to find the probability of pulling a red marble you would do 6/20, which simplifies to 1/3. This can also be written as 30%.
Hope this helps! :)
Which of these ordered pairs is a solution to the linear inequality 3y – 2x ≥ 8?
(2, –4)
(1, 3)
(–4, 2)
(3, 1)
Answer:
C
Step-by-step explanation:
THE IMAGE OF TRIANGLE ABC AFTER A 180 DEGREE ROTATION THE ORIGIN IS
The image of triangle ABC is a A'B'C' after rotating about the origin with an angle of 180 degree.
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
If we rotate the triangle ABC with the origin (0, 0) about 180 degree it will form an image of the triangle ABC which is A'B'C'
Here the coordinates for ABC are not given so we are assuming the triangle ABC has a image which is A'B'C' (refer attached picture)
Thus, the image of triangle ABC is a A'B'C' after rotating about the origin with an angle of 180 degree.
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Joaquin is constructing the perpendicular bisector of ab. What should be his first step?
(100 points cuz why not)
Answer:
D. Open the compass so that the distance from the two points of the compass is wider than half the length of [tex]\over{AB}[/tex].
Step-by-step explanation:
To construct a perpendicular for [tex]\over{AB}[/tex], we must first take a compass & take the distance of its arms wider than half the length of [tex]\over{AB}[/tex].
This is done in order to get two intersecting arcs in the top & bottom of [tex]\over{AB}[/tex] so that a perpendicular bisector can be drawn through it.
After two intersecting lines are drawn below & above [tex]\over{AB}[/tex], draw a line joining these 2 points through their points of intersection. The point where it intersects [tex]\over{AB}[/tex] is the middle-most point of [tex]\over{AB}[/tex] & now a perpendicular bisector of [tex]\over{AB}[/tex] is constructed.
[tex]\rule{150pt}{2pt}[/tex]
Answer:
D
Step-by-step explanation:
You flip a coin and then roll a 6-sided number cube (a die).
Find the probability of rolling a four and getting heads.
The following data sets can be modeled linearly.
Answer:
last and third
Step-by-step explanation:
Each boy in a class has 11 pockets and each girl in a class has 13 pockets. How many boys and girls are in this class if all 21 students have a total of 251 pockets?
Answer:
10 girls and 11 boys
Step-by-step explanation:
That is the answer!!
Answer:
There are 10 girls and 11 boys.
Step-by-step explanation:
Set up two equations. One equation is from the info that there are 21 total students. The other equation is from the calculation for the number of pockets. See image.
Which fraction is equal to 0.370 (with the line over 370)
A. 37/100
B. 370/999
C. 37/99
D. 37/9
=========================================================
Explanation:
Let x = 0.370370370...
The "370" block repeats forever, due to the horizontal bar up top.
Multiply both sides by 1000 so that the decimal point moves three spots to the right.
x = 0.370370370...
1000x = 1000*0.370370370...
1000x = 370.370370370...
Then notice both x and 1000x involve the *exact* same decimal string of "370" repeating forever. This perfect match lets us cancel the decimal portions out when we subtract, and allows us to isolate x to get some fraction of integers.
1000x - x = 370.370370370... - 0.370370370...
999x = 370
x = 370/999
You can use your calculator to confirm that 370/999 = 0.370370370...
----------------
In fact, you can use your calculator to determine the following:
A) 37/100 = 0.37
B) 370/999 = 0.370370370...
C) 37/99 = 0.373737...
D) 37/9 = 4.1111111....
This allows us to see fairly quickly that choice B is the final answer and that we can rule out the others.
----------------
Side note: your calculator may round the last digit by mistake.
Complete this statement:
one day she counts 21 seats and 30 wheels. the equation representing
The equation represents 21 seats and 30 wheels will be given as B.
u + 2b = 30
What is an equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
The owner of a bike shop sells unicycles and bicycles and keeps inventory by counting seats and wheels. One day, she counts 21 seats and 30 wheels.
u is the number of unicycles and b is the number of bicycles.
There are total 21 seats
⇒ u+b=21
unicycle has 1 wheel and bicycle has 2 and total there are 30 wheels
⇒ u+2b=30
Hence,the equation represents 21 seats and 30 wheels will be given as B. u + 2b = 30
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Sara can paint a small deck in 7 hours. Together with Joe, they can paint the deck in 3 hours.
How long would it take Joe to paint the deck by himself? Write a Rational Equation and use it to
solve for the answer to this question.
Answer:
12/5 hours
Step-by-step explanation:
Let the total area to be painted be X
Let S be the rate at which Sally paints and J be the rate at which Joe paints
We have:
X/S = 4 hours (1)
X/J = 6 hours (2)
(1) ÷ (2) ==>
LHS = X/S ÷ X/j = X/S × J/X ==> J/S (3)
RHS = 4/6 = 2/3 (4)
From (3) and (4)
J/S = 2/3 or J =2/3 × S
If they both paint at the same time time taken is
X/(S+J)
S + J = S + 2/3 *S = 5/3S
So time taken for both of them to paint is X/(5/3)*S = X/S * 3/5
But we know from (1) that X/S = 4 so time taken = 4 * 3/5 = 12/5 hours
Trigonometric Identities:
Verify the identity [tex]\frac{sin(a+b)}{sin(a-b)}[/tex] = [tex]\frac{tan(a)+tan(b)}{tan(a)-tan(b)}[/tex]
Take RHS
[tex]\\ \rm\Rrightarrow \dfrac{tanA+tanB}{tanA-tanB}[/tex]
tanØ=sinØ/cosØ[tex]\\ \rm\Rrightarrow \dfrac{\dfrac{sinA}{cosA}+\dfrac{sinB}{cosB}}{\dfrac{sinA}{cosA}-\dfrac{sinB}{cosB}}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{\dfrac{sinAcosB+cosAsinB}{cosAcosB}}{\dfrac{sinAcosB-cosAsinB}{cosAcosB}}[/tex]
cancel cosAcosB[tex]\\ \rm\Rrightarrow \dfrac{sinAcosB+cosAsinB}{sinAcosB-cosAsinB}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{sin(A+B)}{sin(A-B)}[/tex]
Some important identities
[tex]\boxed{\begin{minipage}{6cm} Important Trigonometric identities :- \\ \\ $\: \: 1)\:\sin^2\theta+\cos^2\theta=1 \\ \\ 2)\:\sin^2\theta= 1-\cos^2\theta \\ \\ 3)\:\cos^2\theta=1-\sin^2\theta \\ \\ 4)\:1+\cot^2\theta=\text{cosec}^2 \, \theta \\ \\5)\: \text{cosec}^2 \, \theta-\cot^2\theta =1 \\ \\ 6)\:\text{cosec}^2 \, \theta= 1+\cot^2\theta \\\ \\ 7)\:\sec^2\theta=1+\tan^2\theta \\ \\ 8)\:\sec^2\theta-\tan^2\theta=1 \\ \\ 9)\:\tan^2\theta=\sec^2\theta-1$\end{minipage}}[/tex]
Answer:
[tex]\boxed{\begin{minipage}{6 cm}\underline{Trigonometric Identities}\\\\$\sin (A \pm B)=\sin A \cos B \pm \cos A \sin B\\\\ \dfrac{\sin A}{\cos A}=\tan A$\\\end{minipage}}[/tex]
[tex]\dfrac{\sin (a+b)}{\sin (a-b)} & = \dfrac{\sin(a) \cos (b) + \cos (a) \sin (b)}{\sin(a) \cos (b) - \cos (a) \sin (b)}[/tex]
[tex]\dfrac{\sin (a+b)}{\sin (a-b)} & = \dfrac{\sin(a) \cos (b) + \cos (a) \sin (b)}{\sin(a) \cos (b) - \cos (a) \sin (b)} \times \dfrac{\dfrac{1}{\cos (a) \cos (b)}}{\dfrac{1}{\cos (a) \cos (b)}}[/tex]
[tex]\dfrac{\sin (a+b)}{\sin (a-b)} & = \dfrac{\dfrac{\sin(a) \cos (b)}{\cos (a) \cos (b)} + \dfrac{\cos (a) \sin (b)}{\cos (a) \cos (b)}}{\dfrac{\sin(a) \cos (b)}{\cos (a) \cos (b)} - \dfrac{\cos (a) \sin (b)}{\cos (a) \cos (b)}}[/tex]
[tex]\dfrac{\sin (a+b)}{\sin (a-b)} & = \dfrac{\dfrac{\sin(a)}{\cos (a)} + \dfrac{\sin (b)}{\cos (b)}}{\dfrac{\sin(a)}{\cos (a)} - \dfrac{\sin (b)}{\cos (b)}}[/tex]
[tex]\dfrac{\sin (a+b)}{\sin (a-b)}=\dfrac{\tan(a)+\tan(b)}{\tan(a)-\tan(b)}[/tex]
Pamela and her friend went to the taco place with $15.00. they bought 2 burritos for $2.95 each, an order of nachos to share for $2.25, and 2 sodas for $1.75 each. how much money will they have left?
Find the product of 3.145 by 3
Answer:
9.435
Step-by-step explanation:
Whats is 184 X 8 = ? In work?
Answer:
23
Step-by-step explanation:
23 ⇔ 23 R 0
184 divided by 8
=
23 with a remainder of 0
0
2
3
8
1
8
4
-
0
1
8
-
1
6
2
4
-
2
4
0
Which graph shows a dilation?
The graph that shows a dilation would show the reduction or enlargement of the original figure (see attachment).
What is a Dilation?Dilation is defined as a form of transformation where a figure is enlarged or reduced by scale factor. Simply put, a dilation is a process of resizing an original image.
The image containing the referenced graphs is missing. However, the image below shows what a dilation is.
Thus, the graph that shows a dilation would show an enlargement or reduction.
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At the sweet stuff fresh produce the price of the bag of grapes… (cont in photo)
Answer:
i think it is D but I am not for shore
somebody please help me with this
Answer:
15/56
Step-by-step explanation:
5 people have a license
3 people don't
? = Probability that first person has a license and second does not
We can divide the problem into two sections, the first being the probability of the first person having a license, and the second section is the probability that the second person doesn't have a license.
P1 = Probability of the first person having a license, there are 5 out of 8 person having a license, thus P1 = 5/8.
P2 = Probability of the second person having a license. There are 3 people not having a license, out of 8-1 = 7 persons available, since one is taken already from the first choice, therefore P2 = 3/7.
P1 and P2 are dependent events, thus P(1,2) = P1 * P2.
P(1,2) = P1 * P1 = 5/8 * 3/7 = 15/56
3. A is a set of points that extends infinitely in both directions.
ray
point
plane
line
Answer:
line
Step-by-step explanation:
quizlet
cliffnotes
∆CAT ≅ ∆DOG. Find x.
Answer:
A
Step-by-step explanation:
since the triangles are congruent , then corresponding sides are congruent
AC = OD
8x - 6 = 3x + 9 ( subtract 3x from both sides )
5x - 6 = 9 ( add 6 to both sides )
5x = 15 ( divide both sides by 5 )
x = 3
Use the table of random numbers to simulate the situation.
On an average, 45% of the students in a college take a computer
course. Estimate the probability that at least 6 of the next 10
students will take a computer course.
48095
24765
05604
46497
11966
93354
86431
34731
56521
69722
26295
79423
42669
70962
17355
29826
53442
68241
88383
26431
73434
53041
29591
58166
23544
61132
12955
22834
41592
64119
53147
33205
82873
70967
70034
47821
11153
02989
37977
93425
O Possible answer: 60%
O Possible answer: 50%
O Possible answer: 55%
O Possible answer. 45%
Answer:
40%Step-by-step explanation:
A set of random numbers can be used for simulating a situation by defining how the numbers will be used to represent the possible outcomes. Trials are repeated using newly-generated random numbers until there are a sufficient number of trials to give a reasonable prediction of the probability of interest.
__
We can simulate the situation as follows:
if a pair of digits is in the range 00-44, then the student will be taking a computer coursea sequence of 10 pairs of digits (4 of the 5-digit numbers) will represent a group of 10 studentsWe are interested in the fraction of groups of 10 that have 6 or more that take a computer course. (Theoretical probability is about 26%.)Here are our trials and results.
48 09 52 47 65 05 60 44 64 97 -- 3 of 10
11 96 69 33 54 86 43 13 47 31 -- 5 of 10
56 52 16 97 22 26 29 57 94 23 -- 5 of 10
42 66 97 09 62 17 35 52 98 26 -- 5 of 10
53 44 26 82 41 88 38 32 64 31 -- 6 of 10
73 43 45 30 41 29 59 15 81 66 -- 5 of 10
23 54 46 11 32 12 95 52 28 34 -- 6 of 10
41 59 26 41 19 53 14 73 32 05 -- 7 of 10
82 87 37 09 67 70 03 44 78 21 -- 5 of 10
11 15 30 29 89 37 97 79 34 25 -- 7 of 10
__
Of these 10 trials, 4 showed the result that at least 6 of the next 10 students will choose a computer course. That is, the probability is estimated to be about 4/10 = 40%.
_____
Additional comment
Here, we can only predict the probability of interest as some multiple of 10%, since we have numbers sufficient for only 10 trials.
We could arrange the random numbers a different way and reuse them, but we choose not to for the purpose of this answer. For that to make sense, we need to have assurance that these numbers are truly random.
The number of repeated values among these 100 pairs of digits suggests that this is a poor set of numbers to be using. 26 and 41 each show up 4 times, for example. The probability of that happening by chance in a truly random set of numbers is about 0.03%. A chance event is considered to be unlikely if its probability is less than 1%.
Answer:50%
Step-by-step explanation:believe me it is 50%. 40% isn’t even a option. 50% is the correct answer.
Two classes of students took an exam.
Here is a list of the scores in Class A:
65, 70, 70, 80, 80, 85, 85, 85, 90, 90, 100
Here is a box plot that shows the scores in Class B:
Box plot from 55 to 100 by 5’s. Whisker from 60 to 70. Box from 70 to 80 with vertical line at 75. Whisker from 80 to 90.
1. Which class had better overall results on the exam?
2. Which class had greater variability in the results?
The class that had better overall results on the exam is class A.
The class with greater variablity in results is class B.
Which class performed better?The statistics of students in class A:
Maximum score = 100
Minimum score = 65
Median = 85
First quartile = 1/4(n + 1) = 1/4 x 12 = 3rd term = 70
Third quartile = 3/4 x (n + 1) = 3/4 x 12 = 9th term = 90
The statistics of students in class B:
Maximum score = 100
Minimum score = 55
Median = 75
First quartile = 70
Third quartile = 80
Which class had greater variability in the results?The range would be used to determine which class has greater variability.
Range = highest score - lowest score
Class a = 100 - 65 = 35
Class B = 100 - 55 = 45
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find three numbers whos sum is 86, if the first number is three times the difference between the second and the third, and the second number is two more than twice the third.
Answer: 45,28,13
Step-by-step explanation:
Firstly let’s call integer 3
‘x’
Following the information given the following equations can be constructed:
integer 3 = x
integer 2 = 2+2x because 2x represents 2 times integer 3 (which is x) and plus two
integer 1 =3((2x+2)-x) what we have written is the difference between integer 2 (which was (2x+2)) and integer 3 which was x and simply multiply the result of that subtraction by 3
next we can treat them like their own variables almost.
integer 1 + integer 2 + integer 3 =86
so now plug in the equations we have constructed for each integer:
(3((2x+2)-x)) + (2x+2) + x = 86
to make it easier to read please see the image attached below to solve for x
After you have gone through the image I have included you should notice x= 13 great we got one integer! (Integer 3)
now plug in 13 into our integer equations :
integer 2: 2(13)+2= 28
Therefore integer 2 is 28
integer 1: 3((2(13)+2)-(13))=
3((28-13)
3(15)
45
Therefore integer 1 is 45.
and integer 3 is x which as we now know is equal to 13