The y-intercept is where the line crosses the y axis at x = 0
When x is 0 the line crosses at y = 4
The y intercept would be (0,4)
If cos theta = 0.3090, which of the following represents approximate values of sin thetha for 0 degrees <90 degrees?
A. sin thetha =0.9511;tan theta = 0.3249
B.sin thetha =0.9511 ;tan thetha =3.0780
C. sin thetha 3.2362 ; tan thetha=0.0955
D. sin thetha = 3.2362;tan thetha=10.4731
The approximate value of sin(theta) for 0 degrees < theta < 90 degrees, given cos(theta) = 0.3090, is approximately ±0.9511. The correct answer from the given options is A, which states sin(theta) = 0.9511 and tan(theta) = 0.3249.
To determine the value of sin(theta) given that cos(theta) is 0.3090, we can use the identity \(\(\sin^2(\theta) + \cos^2(\theta) = 1\)\).
Since we know cos(theta) is 0.3090, we can substitute it into the identity:
\(\(\sin^2(\theta) + 0.3090^2 = 1\)\)
\(\(\sin^2(\theta)\)\) + 0.095481 = 1
\(\(\sin^2(\theta)\)\) = 0.904519
Taking the square root of both sides, we get:
sin(theta) = √(0.904519)
sin(theta) ≈ ±0.9511
So, the approximate value of sin(theta) is approximately ±0.9511.
Now let's evaluate the given options:
A. sin(theta) = 0.9511; tan(theta) = 0.3249
B. sin(theta) = 0.9511; tan(theta) = 3.0780
C. sin(theta) = 3.2362; tan(theta) = 0.0955
D. sin(theta) = 3.2362; tan(theta) = 10.4731
We can eliminate options C and D immediately since the value of sin(theta) cannot be greater than 1.
Now, let's consider options A and B. Both options have sin(theta) = 0.9511, which matches our approximate value. However, the value of tan(theta) in option A is 0.3249, while in option B it is 3.0780.
Since we're looking for values of sin(theta) and tan(theta) that are consistent with the given cos(theta) = 0.3090, we can conclude that option A is the correct answer.
Therefore, the approximate values of sin(theta) and tan(theta) for 0 degrees < theta < 90 degrees are:
sin(theta) ≈ 0.9511
tan(theta) ≈ 0.3249
Therefore, the correct answer is A. sin(theta) = 0.9511; tan(theta) = 0.3249.
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which expression is equivalent to 8c+6-3c-2
Answer:5c+4
Step-by-step explanation:
27. If T and P are positive numbers,which of the following is always false?
A. P-T>O
B. P+T=0
C. P + T = 2P
D. P+T> P
Answer:
B
Step-by-step explanation:
The only way for two numbers to = zero when they're added together is if one is negative. There are no two positive numbers that when added together will equal 0, therefore if p and t are positive, their sum cannot be 0
the test in an if function must evaluate to either a true or a false.
Yes, the test in an "if" function must evaluate to either a True or a False value.
An "if" function, also known as a conditional statement, is used to perform specific actions based on whether a certain condition is met or not. The test or condition within the "if" function needs to be evaluated as either True or False in order for the program to decide which action to execute. If the test evaluates to True, the program will perform the action within the "if" block, and if it evaluates to False, it will either execute the action in the "else" block (if present) or simply skip the "if" block.
When using an "if" function in programming, it is essential for the test or condition within the statement to result in a boolean value, which is either True or False. This is because the program needs to determine whether the condition is met or not, so it can decide which set of actions to execute. If the condition evaluates to True, the code within the "if" block will be executed, while if it evaluates to False, the code within the "else" block (if present) will be executed, or the "if" block will be skipped altogether.
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2) Solve the equation 9x = 7(x + 2).
A) - 7
B) -1
0 1
D) 7
Answer:
C. 1
Step-by-step explanation:
A is between C and T and CA =4x + 6, AT =7x-6, and CT =132.
Answer:
x =12Step-by-step explanation:
Given
A is between C and T CA =4x + 6 AT =7x-6CT =132As per segment addition postulate:
CT = CA + AT4x + 6 + 7x - 6 = 13211x = 132x = 132/11x = 12
Type an equation for the line shown in the graph.
Answer:
X=0
y=2
therefore,
y=1x+2
2=1*0+2
2=2
Under what circumstances is a score that is located 5 points above the mean a central value, relatively close to the mean?
a. When the population standard deviation is much less than 5
b. When the population mean is much less than 5
c. When the population mean is much greater than 5
d. When the population standard deviation is much greater than 5
The circumstance that the score is located 5 points above the mean a central value, relatively close to the mean is when the population standard deviation is much greater than 5.
What is the standard deviation?Standard Deviation is a measure which shows how much variation (such as spread, dispersion, spread,) from the mean exists. The standard deviation indicates a “typical” deviation from the mean. It is a popular measure of variability because it returns to the original units of measure of the data set.
Here, we have
The circumstance is a score that is 5 points above the mean considered a central value.We have to find under what circumstances is a score that is 5 points above the mean considered a central value--meaning it is relatively close to the mean.
We concluded from the above statement that when the population standard deviation is much greater than 5.
Hence, when the population standard deviation is much greater than 5 then, the score that is 5 points above the mean is considered a central value.
Therefore, the correct option is D.
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uhhhhhhhhhhhhhhhhhh i hateeee my lifeeeeeeeeeeeee
Answer:
I don't get what to answer because this is not a proper question?
Step-by-step explanation:
Why do you hate your life. It can't be that bad.
7TH GRADE MATH NEED ASAP
Answer
567
Step-by-step explanation:
Answer:
567
Step-by-step explanation:
help meeeeeeeeeeeeeee pleaseeeeeee
Answer: 19.6 feet
Step-by-step explanation:
Using the Pythagorean theorem,
\(x^2 +(x+6)^2 =48^2\\\\x^2 +x^2 +12x+36=2304\\\\2x^2 +12x-2268=0\\\\x^2 +6x-1134=0\\\\x=\frac{-6 \pm \sqrt{6^2 -4(1)(-1134)}}{2(1)}\\\\x \approx 30.8 \text{ } (x > 0)\\\\\implies x+(x+6) \approx 67.6\\\\\therefore (x+(x+6))-48 \approx 19.6\)
You brought a cap on sale for $15. The original price was $25. What percent of discount did you receive for the cap
I think 5 dollars
because 15+5= 25
Answer:
40%
Step-by-step explanation:
If you do 25 times 40% you get 10. For a discount price you subtract whatever the percentage is from the original price. In this instance 10 is 40% of 25, so you would do 25-10, which would give you 15.
Carla is laying stone pavers along the patio and walkway. The walkway is 4 feet wide. The patio measures 8 feet from top to bottom and 11 feet across. How much area does Carla need to cover?
Answer: she needs to cover 88 feet
Step-by-step explanation:
the base is 11 and the hight is 8
in ten dollars more than Sara. How much money did Lisa and Joe put towards the gift?
Lisa and Joe put $46 towards the gift
How much money did Lisa and Joe put towards the gift?Let's call the amount of money that Sara put in "x".
Joe put in twice that amount, so he put in 2x.
Lisa put in ten dollars more than Sara, so she put in x + 10.
Together, Sara, Joe, and Lisa put in x + 2x + (x + 10) = $58.
Evaluate the like terms, so we have
4x + 10 = 58.
Subtracting 10 from both sides, we get
4x = 48.
Dividing both sides by 4, we find that
x = $12.
So Sara put in $12, Joe put in $24, and Lisa put in $22.
The total amount put by Lisa and Joe is $24 + $22 = $46.
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Complete question
Three friends are put their money together to buy a $58 gift. Joe put in twice the amount of money as Sara. Lisa put in ten dollars more than Sara. How much money did Lisa and Joe put towards the gift?
a triangular swimming pool measures 44 ft on one side and 32.3 ft on another side. the two sides form an angle that measures . how long is the third side?
To solve for the length of the third side of the triangular swimming pool, we can use the Law of Cosines. Once we have that angle measurement, we can plug it into the Law of Cosines formula and solve for the length of the third side.
This law is used to find the length of a side of a triangle when we know the lengths of the other two sides and the angle between them. The formula for the Law of Cosines is: c^2 = a^2 + b^2 - 2abcos(C), where c is the length of the third side, a and b are the lengths of the other two sides, and C is the angle between them. In this case, we know that one side of the pool measures 44 ft and another side measures 32.3 ft, and they form an angle that measures... we don't actually know what the angle measures! It's missing from the problem statement. Without that angle measurement, we can't use the Law of Cosines to find the length of the third side. Therefore, we need to be given the measurement of the angle in order to solve for the length of the third side.
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9.) x2 - 6x + 25 = 0
Using the Quadratic Formula
Answer:
x = 25/4
Step-by-step explanation:
snuzjsbzhsisnzbxhsjnsbx
Simpson office furniture pays Linda green a $2310 monthly salary plus a 8% commission on merchandise she sells each month. Assume Linda's sales were $64,500 for last month. calculate the following amounts: 1.amount of commission 2.gross pay
Answer:
0. Amount of commission = $5,160
,1. Linda's gross pay = $7,470
Explanation:
Part 1
Linda's sales for last month = $64,500
She is paid an 8% commission on merchandise she sells.
Therefore:
Amount of commission = 8% of $64,500
=8/100 x 64,500
=0.08 x 64,500
=$5,160
Part 2
Linda's Gross Pay = Monthly salary + Commision
=2,310 + 5,160
=$7,470
Linda's gross pay is $7,470
help me
Which statement is true about the following pair of rectangles?
Answer:
The correct answer is C
Step-by-step explanation:
Because 9 × 3 = 27
and 11 × 3 = 33
PLEASE MARK BRAINLIEST
what is the new side length of a in the actual figure
Answer:
Context? You need to have some information or a picture.
Step-by-step explanation:
Which is the correct algebraic expression for each phrase? 13 times the cost of one ticket *
A. t ÷ 13
B. t - 13
C. 13 + t
D. 13t
Which of the following is not a requirement for testing means? Randomization Nearly Normal Condition 10% Condition Success/Failure Condition
Among the given options, the "Success/Failure Condition" is not a requirement for testing means. The other three options—Randomization, Nearly Normal Condition, and 10% Condition—are necessary conditions to be considered when conducting hypothesis tests on means.
Randomization: Randomization is essential to ensure that the samples being compared are representative of the population and to minimize bias. Random assignment of individuals to treatment groups helps control for confounding variables and increases the validity of the statistical analysis.
Nearly Normal Condition: The Nearly Normal Condition assumes that the data follows a roughly normal distribution within each group being compared. This condition is important because many statistical tests, such as t-tests, rely on the assumption of normality to provide accurate results.
10% Condition: The 10% Condition is relevant when sampling from a finite population. It states that the sample size should be no more than 10% of the population size to ensure that the sampling process does not significantly affect the population distribution.
Success/Failure Condition: The Success/Failure Condition is not directly related to testing means. It is typically associated with tests involving proportions, where the condition specifies that both the number of successes and the number of failures should be at least 10 in each sample or category being compared.
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(30 points) please help! Point B is between A and C. AB = 2x + 1 and BC = 3x. If the measure of AC is 41, what is the value of x?
Answer:
x=8
Step-by-step explanation:
just do 5x+ 1 =41 solve and your done
Answer:
x=8
Step-by-step explanation:
I took a quiz with this question and got it right
If a rectangle is 13 units wide and x units long what is the area
The area of Rectangle is 13x (13*x)
How to find area of rectangle ?
The formula of Area of Rectangle is A = W*L
A = area
W = width
L = length
so , to find area of rectangle
we have wide of 13 units , length x units
apply this in formula,
a = 13*x
so the area =13x
Some formulas of rectangle :
Area a = length * widthPerimeter p = 2( l +w)Diagonal d = \(\sqrt{W^{2} + L^{2} }\)To learn more about find about rectangle refer :
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In order to go on the field trip, you must accrue 75 positive
behavior points. you found out that you have 45% of the
points necessary to go. how many points do you have? use the
variable, p, for your equation.
what is the equation?
Answer:
Equation 75 X .45 = P
P = 33.75
5) For the fraction 3/25, (a) write a percent and (b) write a decimal.
if the confidence coefficient is 0.77, what is the implied probability of error α?
A) 0.15
B) 0.85
C) 1
D) 0.05
if the confidence coefficient is 0.77, implied probability of error α is 0.23.
The confidence coefficient is a measure of the reliability of a statistical estimate, often used in hypothesis testing. In hypothesis testing, we aim to estimate the probability of error, denoted as alpha (α). Given a confidence coefficient of 0.77, we can find the implied probability of error α by using the formula:
α = 1 - confidence coefficient
So, in this case:
α = 1 - 0.77 = 0.23
Therefore, the answer is 0.23, and option (A) 0.15 is not correct.
It is important to note that the confidence coefficient is often expressed as a percentage, for example, a confidence coefficient of 0.77 would be expressed as 77%.
This can lead to confusion when trying to determine the probability of error α, as it is often expressed as a decimal.
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The domain of a certain exponential function is all real numbers. The range of the function is all real
numbers greater than -3. The graph of the function has a horizontal asymptote at y = -3.
Select a graph or graphs to fit the description of the function.
One exponential function with the given features is y = 2^x - 3, and is graphed at the end of the answer.
How to define the exponential function?An exponential function is defined as follows:
y = a(b)^x + c.
In which:
a is the initial value.b is the rate of change.c is the horizontal asymptote.The graph of the function has a horizontal asymptote at y = -3, hence:
c = -3.
For a and b, they can assume any non-negative values, hence we attribute these following values:
a = 1, b = 2.
The graph is given at the end of the answer.
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what is 2+2 this is a thing for points
Answer:
4
Step-by-step explanation:
To visit her grandmother, Jessica takes a horse 3.31 3.313, point, 31 kilometers and a motorcycle 1 11 kilometer.
Answer: Jessica's journey in total is 4.31 km
Step-by-step explanation:
the sum of two numbers is 4560892,if one of them 283651,find the other.
Answer:
The answer is 4,277,241
Step-by-step explanation:
I subtracted 283,651 from 4560892.
Answer:
4,277,241 is your correct answer
Step-by-step explanation: