The two quadrants in which cosine is positive are the first quadrant (Q1) and the fourth quadrant (Q4).
How to explain the informationPart 2: The quadrants in which sine is negative are the third quadrant (Q3) and the fourth quadrant (Q4).
Part 3: Based on the information from parts 1 and 2, the quadrant in which cosine is positive and sine is negative is the fourth quadrant (Q4).
Part 4: One angle that has a negative sine and a positive cosine in the fourth quadrant is 135 degrees (or 3π/4 radians).
Part 5: Using a calculator, we can confirm the values of cosine and sine for 135 degrees:
Cosine of 135 degrees: cos(135°) ≈ -0.7071 (rounded to four decimal places)
Sine of 135 degrees: sin(135°) ≈ -0.7071 (rounded to four decimal places)
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What is the range of the data below?
625, 638, 619, 677, 638, 659
Answer:
58
Step-by-step explanation:
The range is the difference between the highest and the lowest numbers in the number set.
The highest number in this set is 677 and the lowest number is 619.
677 - 619 = 58
Please solve the question with steps.
9514 1404 393
Answer:
c. x + 6
Step-by-step explanation:
The factorization is ...
x(x -3)(x -6)
The factor on the list that is not part of the above expression is (x +6).
_____
More detail
Factoring x from each term gives ...
x(x^2 -9x +18)
Now, you're looking for factors of 18 that sum to -9. We know that 18=(-3)(-6) and that -3-6 = -9, so the remaining two factors are (x-3)(x-6).
= x(x -3)(x -6)
Select all statements that are true.
An acute triangle can be equilateral
An obtuse triangle can have more than one obtuse angle.
An equilateral triangle is always equiangular.
A right triangle can be scalene.
An acute triangle can be sosceles
A scalene triangle can be equilateral
The true statements are as follows
An acute triangle can be equilateral .An equilateral triangle is always equiangular. A right triangle can be scalene. An acute triangle can be isosceles.The following statements considered to be false:
An obtuse triangle can have more than one obtuse angle.A scalene triangle can be equilateral.Therefore, the above statements are considered true.
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Which statement is true?
4
O A. As the value of a positive number
increases, the absolute value of
the number decreases.
O B. As the value of a positive number
decreases, the absolute value of
the number increases.
O C. As the value of a negative number
increases, the absolute value of
the number decreases.
5
O D. As the value of a negative number
decreases, the absolute value of
the number decreases.
option D is true statement. that is the absolute value of the negative number will decreases with decreases in negative number.
What is Absolute value of a number?
Absolute value describes the distance from zero that a number is on the number line, without considering its direction that is the absolute value of a number is never negative.
In other words Absolute value is the modulus of any number.
A ) False : the absolute value of the positive number will increase with increase in positive number.
B ) False : the absolute value of the positive number will decreases with decreases in positive number.
C) False : the absolute value of the negative number will increase with increase in negative number.
D) TRUE: the absolute value of the negative number will decreases with decreases in negative number.
Therefore, option D is true.
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The Wanting Recognition (WR) Scale provides a quantitative measure of a person's level of need for approval and sensitivity to social situations. A random sample of 100 convicted drug dealers was scoredf on the WR scale and produced a mean WR score of 39 and a standard deviation of 6. (a) Use this information, find an interval estimate of the mean WR score for all convicted drug dealers with 99% confidence level.
Answer:
99% of the confidence level of the mean WR score for all convicted drug dealers
(37.4544, 40.5456)
Step-by-step explanation:
Step(i):-
Given that the sample size 'n' = 100
Given that the mean of the sample(x⁻) = 39
Given a standard deviation of the sample (σ) = 6
Level of significance = 0.01 or 99%
Step(ii):-
99% of the confidence level of the mean WR score for all convicted drug dealers
[tex](x^{-} - Z_{0.01} \frac{S.D}{\sqrt{n} } ,x^{-} + Z_{0.01} \frac{S.D}{\sqrt{n} })[/tex]
[tex](39 -2.576 \frac{6}{\sqrt{100} } ,39 + 2.576 \frac{6}{\sqrt{100} })[/tex]
(39 - 1.5456 , 39+1.5456)
(37.4544, 40.5456)
Final answer:-
99% of the confidence level of the mean WR score for all convicted drug dealers
(37.4544, 40.5456)
If you draw a triangle with angles that measure 95 degrees and 40 degrees, what will be the measure of the third angle?
Answer: 45°
Step-by-step explanation: All the angles of a triangle have to equal 180.
95 + 40 + x = 180
135 + x = 180
180-135 = 45.
Daphne has a preloaded games card that she is using to play games at the arcade as shown in the table.
How much did Daphne start with on her card?
by what amount does her card value change per game?
write an equation to represent the situation.
Answer:
she starts with $25
every three games she spends $1.50 (.50 per game)
Step-by-step explanation:
i mean i cant really explain it, its kinda self explanatory
GIVING AWAY BRAINLIEST TO FIRST AND CORRECT ANSWER!!! Rewrite the following function in slope intercept form.
an=3+(n-1)(-6/7)
OPEN ENDED WHOEVER ANSWERS BEST GETS BRAINLIEST
Answer:
PP power
Step-by-step explanation:
:)
Answer:
Step-by-step explanation:
Slope = -6/7
(1,3) and (2,15/7) are points on the line.
y-3 = -(6/7)(x-1)
y = -(6/7)x + 21/7
Question 5 of 10 How does a low credit score affect a person who applies for a loan? O A. It causes banks to charge the person higher interest rates on the loan. OB. It makes it easier for the person to get a loan with a poor debt-to- income ratio. O C. It allows banks to give the person a loan without checking his or her tax records. OD. It makes banks more likely to give the person a large, long-term loan. SUBMIT
It's def not c or d, I think it's a.
if a sphere has radius of 13 centimeters what is the volume
Verify the Identity.
tan²xsin²x = tan²x-sin²x
tan²(x) - sin²(x) = sin²(x)/cos²(x) - sin²(x)
… = sin²(x) (1/cos²(x) - 1)
… = sin²(x) (sec²(x) - 1)
… = sin²(x) tan²(x)
PLEASE HELP ILL GIVE BRAINLIEST!!!!
Which line plot displays a data set with an outlier?
(btw don't mind the one that's selected I accidentally pressed that)
Answer:
the graph selected
Step-by-step explanation:
If we look to the third graph we can see that all data are concetrated on the left part of the graph, but there is one that is on the right part, so it is an outlier
In the LEFT column: Solve for y: 5 = –7y + 8
9514 1404 393
Answer:
y = 3/7
Step-by-step explanation:
add 7y to both sides of the equation
7y +5 = 8
Subtract 5 from both sides of the equation
7y = 3
Divide both sides of the equation by 7
y = 3/7
Can someone please answer these two questions
Answer:
A.
Step-by-step explanation:
Solve the Following Inequality Select the possible range of solution to make the Statement True.
-6m < -24
Group of answer choices
1, 2, 3
-1, -2, -3
4, 5, 6
-, 4, -5, -6
Answer:
4, 5, 6
Step-by-step explanation:
- 6m < -24
-m < -4
m > 4
m has to be greater than 4
Summary information on the heights of 64 bass and 42 tenor singers, all men, in the New York Choral Society is given. The vocal range of bass voice part is lower in pitch than the alto voice part. Use 1% level of significance to determine whether the population mean height of bass singers is greater than the population mean height of tenor singers.
Answer:
Hello your question has some missing information below is the missing information
Sample mean and Sample standard deviation
Bass 70.99 and 2.52
Tenor 69.41 and 2.79
answer : We will reject H0
Step-by-step explanation:
Determine whether the population mean height of bass singers > population mean height of tenor singers
n1 = 64 , n2 = 42
x1 ( mean ) = 70.99
x2( mean ) = 69.41
S1 ( std 1 ) = 2.52
S2 ( std 2 ) = 2.79
We will perform a two tailed test hence we will state the null and alternate hypothesis
H0 : μ1 > μ2
H1 : μ1 < μ2
significance level = 0.01
next calculate the test statistic
t = 2.96
attached below is the remaining part of the detailed solution
A warren of rabbits has a population of 350. The population is increasing at a rate of 3% per year. How can you write an exponential growth function to find the monthly growth rate? (I have other question pls help if you can)
The exponential growth function to find the monthly growth rate is:
[tex]P(t) = 350~ (1 + 0.02493)^t[/tex]
We have,
To write an exponential growth function to find the monthly growth rate, use the following formula:
[tex]P(t) = P_0 (1 + r)^t[/tex]
Where:
P(t) is the population at time t
P₀ is the initial population (350 in this case)
r is the growth rate per time period (monthly rate in this case)
t is the time in the corresponding time period
To find the monthly growth rate.
[tex]= (1 + r)^{1/12} - 1[/tex]
= [tex](1 + 0.03)^{1/12} - 1[/tex]
= 0.02493
= 2.493 %
Therefore,
The exponential growth function to find the monthly growth rate is:
[tex]P(t) = 350~ (1 + 0.02493)^t[/tex]
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A spinner has six equal-sized sections numbered 1, 1, 2, 2, 3, and 4. What is the probability of spinning a 3?
Answer:
1/6 or 0.166666...
Step-by-step explanation:
1 out of 6, so 1/6
Find the equivalent equation
1. 4+ 4w
2 18w+9
3. 18+6x
4. 21x+42
5. 25x+45
Answer:
see below
Step-by-step explanation:
1. 4 + 4w
Take out a 4 from each term.4(1 + w)2. 18w + 9
Take out a 9 from each term.9(2w + 1)3. 18 + 6x
Take out a 6 from each term.6(3 + x)4. 21x + 42
Take out a 21 from each term.21(x + 2)5. 25x + 45
Take out a 5 from each term.5(5x + 9)Hope this helps!
What is the area of the irregular figure below?
A figure can be broken into a parallelogram and triangle. The parallelogram has a baes of 4 inches and height of 6 inches. The triangle has a base of 4 inches and height of 6 inches.
36 Inches squared
48 Inches squared
144 Inches squared
288 Inches squared
Answer:
B, 48 inches
Step-by-step explanation:
First calculate the area of the parallelogram: 4 x 6
4 x 6 = 24
Then calculate the area of the triangle: 4 x 6
4 x 6 = 24
Then you add the two areas: (4 x 6) x 2 or 24 x 2
24 x 2 = 48
Therefore, your answer is B, 48 inches
Answer:
36
Step-by-step explanation:
16 ft
12 ft
4 ft
16ft
Area
Answer:
your answer is 48feet
Step-by-step explanation:
16+12+4+16=48ft
I hope this helps
have a nice day/night
mark brainliest please ")
Answer 3. Pls pls ASAP pls pls
Answer:
a) no
b) yes
c) yes
d) no
Step-by-step explanation:
On a coordinate plane, how are the locations of the points (1 , -5) and (-1 , 5) related
Answer:
They are a transformation
Step-by-step explanation:
Checked using desmos graphing
A 2018 poll of 3603 randomly selected users of a social media site found that 1697 get most of their news about world events on the site. Research done in 2013 found that only 45% of all the site users reported getting their news about world events on this site. a. Does this sample give evidence that the proportion of site users who get their world news on this site has changed since 2013
Answer:
Reject H0; there is significant evidence that the proportion of site users who get their world news on this site has changed since 2013 and is significantly different from 45%
Step-by-step explanation:
Sample size, n = 3603
x = 1697
Phat = x/n = 1697/3603 = 0.4709 =47.09%
H0 : p = 0.45
H1 : p > 0.45
The test statistic :
(phat - p) / sqrt[(p(1 - p)) /n]
(0.4709 - 0.45) / sqrt[(0.45(0.55))/3603]
0.0209 / 0.00828810932
Test statistic = 2.5217
The Pvalue :
Using the Pvalue from Test statistic calculator ; α = 0.05 ;
Pvalue at 95% confidence = 0.005839
Pvalue < α ;
Hence, we reject the Null
Therefore, we conclude that the sample gives evidence that the proportion of site users who get their world news on this site has changed since 2013.
ZABD and ZDBC are supplementary angles.
What is the measure of x?
X =
= [?]
D
AK
X/78°
B
-С
Angles are not drawn to scale.
Enter
x=102°
Answer:
x+78=180 supplementary angle
x=180-78=102
(c) Write down the reciprocal of 20
Answer:
1/20
Step-by-step explanation:
The reciprocal just means that you flip the numerator & denominator. Any whole number always has a denominator of 1, so you just flip it to 1/20. Hope this helps!
In order to find the reciprocal of a number, we should flop it over.
Kindly consider the formula for additional details:-
[tex]\sf{The~reciprocal~of~a~is~\displaystyle\frac{1}{a}}[/tex]
According to the formula, the reciprocal of 20 is:-
[tex]\sf{The~reciprocal~of~20~is~\frac{1}{20}}[/tex]
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
A small box measures 7 in. by 10 in. by
3/4 in. high. Find the volume of the box.
Answer:
Volume = 52.5
Step-by-step explanation:
volume of a rectangular 3d shape can be calculated by length*width*height. In this case:
7*10*0.75 = 52.5
what is 16x <20 on a number line?
[tex]x < \frac{20}{16} = \frac{5}{4} = 1.25 \\ x < 1.25[/tex]
i hope it helps u :)
EL QUE ME AYUDE CON ESTO LE DOY CORONA ._.
TEMA : TEORIA DE EXPONENTES
- Al aplicar la ley de exponentes la expresión se reduce a:
Answer:
S = [tex]\frac{36}{25}[/tex]
Step-by-step explanation:
Given expression is,
S = [tex]\sqrt[3]{[(\frac{3}{2})^{-2}+6^{-3}+(\frac{3}{2})^{-3}-6^{-1}}]^{-2}[/tex]
S = [tex]\sqrt[3]{[(\frac{2}{3})^{2}+(\frac{1}{6})^{3}+(\frac{2}{3})^{3}-(\frac{1}{6})}]^{-2}[/tex]
= [tex]\sqrt[3]{[\frac{4}{9}+\frac{1}{216}+\frac{8}{27}-\frac{1}{6}}]^{-2}[/tex]
= [tex]\sqrt[3]{(\frac{96+1+64-36}{216})^{-2}}[/tex]
= [tex]\sqrt[3]{(\frac{125}{216})^{-2}}[/tex]
= [tex]\sqrt[3]{(\frac{216}{125})^{2}}[/tex]
= [tex]\sqrt[3]{(\frac{216}{125})\times (\frac{216}{125})}[/tex]
= [tex]\sqrt[3]{(\frac{6\times 6\times 6}{5\times 5\times 5})\times (\frac{6\times 6\times 6}{5\times 5\times 5})}[/tex]
= [tex]\sqrt[3]{(\frac{6}{5})^3\times (\frac{6}{5})^3}[/tex]
= [tex]\frac{6}{5}\times \frac{6}{5}[/tex]
= [tex]\frac{36}{25}[/tex]
A jar contains 5 yellow marbles numbered 1 to 5 and 12 blue marbles numbered 1 to 12. A marble is drawn from the jar. Find the probability the marble is even numbered given the marble is yellow.
Answer:
0.4 = 40% probability the marble is even numbered given the marble is yellow.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question:
There are 5 yellow marbles, which means that the number of total outcomes is [tex]T = 5[/tex]
2 of those(2 or 4) are even numbered, which means that the number of desired outcomes is [tex]D = 2[/tex]
Find the probability the marble is even numbered given the marble is yellow.
[tex]p = \frac{D}{T} = \frac{2}{5} = 0.4[/tex]
0.4 = 40% probability the marble is even numbered given the marble is yellow.