The solutions to the trigonometric function \(2\sin{\theta} = -\sqrt{2}\) on the first lap of the trigonometric circle are given as follows:
\(\theta = \frac{5\pi}{4}\)\(\theta = \frac{7\pi}{4}\)How to solve the trigonometric function?The trigonometric function in the context of this problem is defined as follows:
\(2\sin{\theta} = -\sqrt{2}\)
We must isolate the desired variable, hence:
\(\sin{\theta} = -\frac{\sqrt{2}}{2}\)
Then we must apply the arcsine function, which is the inverse cosine, hence:
\(\theta = \arcsin{\left(-\frac{\sqrt{2}}{2}\right)}\)
Using a calculator, the angles are given as follows:
\(\theta = \frac{5\pi}{4}\)\(\theta = \frac{7\pi}{4}\)More can be learned about trigonometric functions at https://brainly.com/question/24349828
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Can someone help me with this?
Answer:
I'm pretty sure it's 1, 2, and 3, but I'm not positive
The provides direct access from the railroad terminals in to th Alameda Corridor, downtown Los Angeles, the ports of Los Angeles and Long Beach El Segundo Corridor, downtown Los Angeles, the ports of Los Angeles and tong Beach
Alameda Corridor, downtown San Francisco, the ports of Los Angeles and Long Beach Alameda Corridor, downtown Los Angeles, the ports of Los Angeles and San Diego
The Alameda Corridor provides direct access from the railroad terminals into downtown Los Angeles and the ports of Los Angeles and Long Beach.
The Alameda Corridor is a transportation route that connects the railroad terminals near downtown Los Angeles to the ports of Los Angeles and Long Beach. It is a dedicated freight rail corridor designed to improve the flow of goods and reduce congestion in the region.
The corridor includes a 20-mile railroad trench, which allows trains to bypass road crossings, and it provides efficient access for the movement of cargo between the ports and the inland rail network. By connecting the railroad terminals directly to the ports, the Alameda Corridor plays a crucial role in facilitating the transportation of goods and supporting international trade.
The Alameda Corridor serves as a vital transportation link between the railroad terminals, downtown Los Angeles, and the ports of Los Angeles and Long Beach. It enhances the efficiency and capacity of freight transportation, supporting the movement of goods and contributing to the economic growth of the region.
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Error Analysis
identify the first step that contains an error.
Solve: -38 = 4x -2(x + 5)
Step 1: -38 = 4x - 2x -10
Step 2: -38 = 2x - 10
Step 3: -48 = 2x
Step 4: -24 = x
Answer:
Step-by-step explanation:
-38 = 2x - 10 becomes -28 = 2x, NOT -48 = 2x.
8+10÷5(5×4+2)=
Nsjslsmsjsolsmsjsk
Answer:
8.09 is the answer of this question.
Four runners are training for long races. Noah ran 5.123 miles, Andre ran 6.34 miles, Jada ran 7.1 miles, and Diego ran 8 miles.
Answer:
Is this an incomplete question?
Answer:
this isnt a question???
Step-by-step explanation:
What is the growth factor associated with the following growth rate: 30% decrease Your answer should be typed as a decimal.
Find the missing dimension of the triangle:
5) base: 27 cm
area: 256.5 cm2
Answer:
height is 19 cm...........
area
area=base× height /2
256,5=27× height /2
lets say height is A
256,5=27A/2
2/27×256,5=A
19=A
7. Judy and Steve collect baseball cards. Judy has six less than twice the
number of cards Steve has. If n represents the number of baseball cards
Steve has, which expression represents the number of baseball cards
Judy has?
A 2(n-6)
B. 6 - 2n
c. 2n - 6
D. 6(2) -n
Answer:
c. 2n-6
Step-by-step explanation:
6 less than 2xSteve so 2n-6
M is the midpoint of AD.
Triangles A B M and D C M are connected at point M. Sides A B and C D are congruent. The length of side B M is 3 x + 6 and the length of corresponding side M C is 4 x minus 1.
What value of x will make triangles ABM and DCM congruent?
3
5
7
9
Answer:
7
Step-by-step explanation:
ΔABM and ΔDCM
4x - 1 = 3x + 6
4x - 3x = 6 + 1
x = 7
Answer:
C. 7
Step-by-step explanation:
Find the diagram to the question attached. Two congruent triangles has all its sides to be equal. This means that the sides of ΔABM will be equal to that of ΔDCM (SSS rule).
Given
BM = 3x+6
MC =4x-1
Since both triangles are congruent, then BM = MC
Next is to get x;
3x+6 = 4x-1
collect like terms'
3x-4x = -1-6
-x = -7
multiply through by -1
-(-x) = -(-7)
x = 7
Hence the value of x that will make triangles ABM and DCM congruent is 7
a car is driving at 100 kilometers per hour. how far, in meters, does it travel in 2 seconds? meters
A car travels 500/3 meters in 2 seconds.
What is speed?
The speed at which an object's location changes in any direction. The distance traveled in relation to the time it took to travel that distance is how speed is defined. Given that it just has a direction and no magnitude, speed is a scalar number.
Here, we have
Speed of car = 100 KM/ hour
1 km= 1000m
1 hour = 3600 seconds
Let's find the speed of the car in Meters/second
Speed of car in m/sec = 100*1000 m/3600 second
Here we have taken 1000 for km and 3600 for an hour
Speed of car in m/sec = 100*1000 m/3600 second = 500/18 m/second
Speed of car in m/sec = 250/9 m per sec
We know that
Distance = speed*time
Speed = 250/9 m per sec
Time = 2 second
Distance = 250/9 * 2 meters = 500/3 meters
Hence, a car travels 500/3 meters in 2 seconds.
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On the way home from her friend's house Sandy skateboards 30% of the way, walks 1/2 of the way, and then skips the rest of the way. Which decimal number shows the portion of the distance Sandy skips?
Answer:
0.2
Step-by-step explanation:
Convert the walking to percent
\(\frac{1}{2} \times 100 = 50\)
Add both skateboarding and walking
\(30\% + 50\%\\\\= 30 + 50\\\\= 80\)
Now, subtract that from a whole percent
\(100 - 80 = 20\\\\20\%\)
Convert it to a decimal
\(20\% = \frac{20}{100} \\\\=20 \div 100\\\\= 0.2\)
Therefore, in decimal, 0.2 is the number that shows the portion of the distance Sandy skips.
Cindy is 6 years older than half her
mother's age. Cindy's mom is 70 years old.
How old is Cindy?
Answer:
cindy is 51
Step-by-step explanation:
70 divided by 2 is 45
45+ 6 is 51
which technolgy is nasa devloping that will help astronaughts reach mars?
Answer:
The Mars 2020 rover mission has major new technologies that improve entry, descent, and landing: Range Trigger, Terrain-Relative Navigation, MEDLI2, and its EDL cameras and microphone.
Step-by-step explanation:
I hope this will help you
what is the one-way analysis of variance used to test for? what is the one-way analysis of variance used to test for? equality of three or more population means equality of three or more population proportions equality of three or more sample means equality of three or more population variances
Main Answer:The correct answer is "equality of three or more population means."
Supporting Question and Answer:
What is the purpose of the one-way analysis of variance (ANOVA) test?
ANOVA helps to assess whether these differences are statistically significant by comparing the variation between the groups to the variation within the groups.
Body of the Solution:The one-way analysis of variance (ANOVA) is used to test for" the equality of three or more population means". ANOVA compares the variation between the groups (due to differences in means) to the variation within the groups (due to individual differences within each group) to assess whether the observed differences in means are statistically significant. Therefore, the correct answer is:
"equality of three or more population means."
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What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (−3, 1)?
y – 1=Negative three-halves(x + 3)
y – 1=Negative two-thirds(x + 3)
y – 1= Two-thirds(x + 3)
y – 1= Three-halves(x + 3)
The equation, in point-slope form, of the line that is parallel to the given line and passes through the point (−3, 1) is y - 1 = 3/2(x+3)
Equation of a line in point-slope formThe equation of a line in point-slope form is expressed as:
y-y0 = m(x-x0)
where:
m is the slope
(x0,y0) is the point on the line
The slope of the given line is as shown:
Slope = 2-(-4)/2-(-2)
Slope = 2+4/2+2
Slope = 6/4 = 3/2
Substitute the slope and the point
y - 1 = 3/2(x-(-3))
y - 1 = 3/2(x+3)
Hence the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (−3, 1) is y - 1 = 3/2(x+3)
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determine if each of the numbers below is a solution to the inequality 3x-2<2-2x
The solution set of the inequality 3x-2 < 2-2x is:
(4/5, ∞)
Which numbers are solutions for the inequality?To find this we need to isolate the variable in the inequality.
Here we have:
3x - 2 < 2 - 2x
add 2x in both sides and add 2 in both sides, then we will get:
3x + 2x < 2 + 2
5x < 4
Now we can divide both sides by 5 to get:
x < 4/5
That is the inequality solved.
Then the solution set of the inequality is:
(4/5, ∞)
The set of all real numbers larger than 4/5.
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please help me answer this question if correct I'll make brainylist!!!
Answer:
3
Step-by-step explanation:
I am pretty sure it is 3, because 3+3 is 6+5 = 11
The other box also has 11
So I think the x is 3.... Hope this helps
Answer:
3
Step-by-step explanation:
on the left, you see the 1 by 1 squares from before, which I will call c1s, and you see 6 extra c1s
on the right, there are 2, 3 by 1 rectangles. 3 by 1 = 3*1 = 3
3 is the answer
there years ago Ava lent her sister $400 to buy some clothes. today Ava's sister pay her loan in full with $454. what simple annual interest rate did she pay?
Answer:
4.5% per year
Graph A Graph B 5 2 X X 3 2 3 4 5 Which table and graph represent the equation y = 2x? O A. Table B and graph A O B. Table A and graph B O C. Table B and graph B O D. Table A and graph A
Given:
The equation is y = 2x.
The objective is to find which of the table values match the with a given graphs.
The general equation of straight line is,
\(y=mx+c\)Here, m represents the slope and b represents the y intercept.
Consider the graph A and find the slope of the equation.
Take two coordinates from the graph as,
\(\begin{gathered} (x_1,y_1)=(0,0) \\ (x_2,y_2)=(1,2) \end{gathered}\)The formula to find the slope of the equation is,
\(\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{2-0}{1-0} \\ m=\frac{2}{1} \\ m=2 \end{gathered}\)Fro mthe graph A, the value of y intercept is 0.
Substitute the obtained values in the equation of straight line.
\(\begin{gathered} y=2x+0 \\ y=2x \end{gathered}\)Thus, the given equation, coordinates of the table A matches with the graph A.
Hence, option (D) is the correct ant
What is the correct answer NEED ANSWER ASAP
Answer:
Your answer is
x-int: (3 , 0) , (-3/2 , 0)
y-int: (0 , -9)
Step-by-step explanation:
12. If ATSR-ATFE, find the perimeter of ATFE.
E-M
R
F
40
54
T
25
22
S
Step-by-step explanation:
they are similar, that means for our case here that they're is one central scaling factor for all sides between the 2 triangles.
by looking at the forms of both triangles, we see that
ET corresponds to TR.
FT corresponds to TS.
FE corresponds to RS.
for TE and TR we have the length information :
25 and 40
so, the scaling factor between these 2 corresponding sides can then be used for the other pairs of corresponding sides.
the scaling factor to go from the large to the small triangle is
25/40 = 5/8
therefore,
FT = TS × 5/8 = 22 × 5/8 = 11×5/4 = 55/4 = 13.75
FE = RS × 5/8 = 54 × 5/8 = 27×5/4 = 33.75
the perimeter of TFE is therefore
25 + 13.75 + 33.75 = 72.5
what are the factors to 424,380
Answer:
the factors are: 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 643, 660, 1286, 1929, 2572, 3215, 3858, 6430, 7073, 7716, 9645, 12860, 14146, 19290, 21219, 28292, 35365, 38580, 42438, 70730, 84876, 106095, 141460, 212190, 424380.
Step-by-step explanation:
a new program to lower high school drop-out rates reports that they have succeeded in lowering the dropout rate in a local school district and that the p-value is 0.003. which of the following is false? group of answer choices there is a 0.3% chance that the null hypothesis (that the new program is not effective) is true. if the researchers use a 5% significance level, they would conclude that the program was effective. if the program does not work, the test statistic that the researchers observed was so rare that values that extreme or more extreme occur only 0.3% of the time. if the researchers use a significance level of 1%, they would conclude that the program was effective.
The false statement is: "The researchers would come to the conclusion that the programme was successful if they used a significance level of 1%."
What is significance level?
A significance level, denoted by α, is the threshold chosen by researchers to determine the level of evidence required to reject the null hypothesis. It represents the maximum acceptable probability of making a Type I error (incorrectly rejecting the null hypothesis when it is true).
In this case, the given p-value is 0.003. If the null hypothesis is true, the p-value represents the likelihood of obtaining a test statistic that is equally extreme to or more extreme than the one that was observed. It offers proof that the null hypothesis is false.
We can conclude that there is strong evidence to reject the null hypothesis in favour of the alternative hypothesis because the p-value is 0.003, which is lower than any often used significance level like 0.05 or 0.01. Thus, if the researchers apply a 5% level of significance, they would draw the conclusion that the programme was successful.
However, if the researchers use a significance level of 1%, they would require even stronger evidence to reject the null hypothesis. Since the p-value of 0.003 is greater than 0.01, they would not be able to reject the null hypothesis at the 1% significance level and would not conclude that the program was effective.
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The probability that X is at least 7 is:
a.) 5/36
b.) 6/36
c.) 15/36
d.) 21/36
Answer:
The correct answer is d.) 21/36.If we assume a fair six-sided number cube, there are a total of 36 possible outcomes. Out of these, the favorable outcomes for X being at least 7 are 21, 22, 23, 24, 25, and 26 (six outcomes). Therefore, the probability of X being at least 7 is 6/36, which can be simplified to 1/6, or approximately 0.1667.
Step-by-step explanation:
What is the equation here?
Giving Brainliest.
Answer:
for store a 260 + 20 times x and then store b 140 + 30 times x
Step-by-step explanation:
Draw a rectangle that is 8 squares long and 1 2 of a square wide. Then add up the partial squares to find the area. Multiply to check your answer. (i got it wrong, and my teacher told me to redo it so may someone help me?-)
Answer:
To draw a rectangle that is 8 squares long and 12 squares wide, you can draw a rectangle with 8 squares in one row and 12 squares in each column.
To find the area of the rectangle, you can count the number of squares in the rectangle. In this case, there are 8 rows and 12 columns, so the area of the rectangle is:
8 x 12 = 96
Therefore, the area of the rectangle is 96 square units.
To check your answer, you can multiply the length and width of the rectangle. The length is 8 and the width is 12, so:
8 x 12 = 96
As you can see, this is the same answer we got by counting the squares, so our answer is correct.
give the equation of a line that goes through the point ( 27 , 2 ) and is perpendicular to the line − 9 x 2 y
The equation of a line that passes through the point (27, 2) and is perpendicular to the line -9x + 2y = 0 can be found using the properties of perpendicular lines. The equation is -9x + 2y = 0 is y - 2 = (-2/9)x + 6.
To obtain the equation, we need to determine the slope of the given line and then find the negative reciprocal of that slope. The negative reciprocal of a slope is a property of perpendicular lines. Once we have the new slope, we can substitute it into the point-slope form of a linear equation.The given line has the equation -9x + 2y = 0. To find its slope, we can rearrange the equation in the slope-intercept form (y = mx + b), where m represents the slope. By isolating y, we have 2y = 9x, which simplifies to y = (9/2)x. Comparing this equation with y = mx + b, we can see that the slope of the given line is m = 9/2.
To find the negative reciprocal of this slope, we take the reciprocal of 9/2 (which is 2/9) and then negate it (change the sign). Therefore, the slope of the perpendicular line is -2/9.Now that we have the slope (-2/9) and the point (27, 2), we can use the point-slope form of a linear equation, which is y - y1 = m(x - x1). Plugging in the values, we get y - 2 = (-2/9)(x - 27). Simplifying this equation gives us the final result: y - 2 = (-2/9)x + 6.
The equation of the line that passes through the point (27, 2) and is perpendicular to the line -9x + 2y = 0 is y - 2 = (-2/9)x + 6. This equation was obtained by finding the negative reciprocal of the slope of the given line and using point-slope form of a linear equation.
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how is comparative-historical research best conducted? select one: a. by looking at records and documents from other times and places b. by observing historical reenactments c. by talking directly to a subsample of people d. by surveying large numbers of people and comparing the responses
Comparative-historical research is best conducted by looking at records and documents from other times and places.(a) This is the correct option among the given options.
What is comparative-historical research?
Comparative-historical research is a research method that seeks to explain phenomena, events, or social issues by comparing and contrasting cases from different historical periods or geographical locations. The comparative-historical approach also focuses on identifying and analyzing long-term trends and patterns. Therefore, this method has a particular interest in changes that occur over time or across different societies, cultures, and civilizations.
How is comparative-historical research best conducted?
As stated earlier, comparative-historical research is best conducted by looking at records and documents from other times and places. This method involves collecting primary and secondary data from various sources to help researchers identify long-term trends and patterns. In general, the following are some ways comparative-historical research can be conducted: Examining archival records and documents from different historical periods. Observing different historical reenactments. Talking directly to a subsample of people. Surveying large numbers of people and comparing the responses. However, among the given options, looking at records and documents from other times and places is the most efficient way of conducting comparative-historical research.
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How many solutions exist for the mixed-degree system graphed below?
A) zero
B) one
C) two
D) three
Answer:
one solution
Step-by-step explanation:
The number of solutions is how many times the two functions intersect.
These two functions intersect one time
Answer:
C
Step-by-step explanation:
Can someone help me please
Answer:
5(3) + 6(2)
= 15 + 12
= 27
Step-by-step explanation:
Answer:
27
Step-by-step explanation:
5 x 3 = 15
6 x 2 = 12
15 + 12 = 27