Angle a = 126. What is the measure of angle b? Explain how you calculated your answer.
Angle a = 126". Write an equation(s) in terms of b to find the measure of angle h.
Calculate the measure of angle h, using the equation(s) you wrote for Part B.
How would knowing the measure of angle y change the equation(s) you wrote in Part B to find the measure of angle h?
Answers
Answer:
e..r22 5x. answer c E-MC
Answer:
angle b=54 and angle h=36
Step-by-step explanation:
a straight line= 180 degress and a=126 so b=180-126=54 so angle be equal 54 and that square equals 90 so 54+90=144 and since a triangle has to equal 180 that means h=180-144=36 so angle h=36 and angle b=54.
Related Questions
a) In a certain lottery game you choose a set of six numbers out of 45 numbers. Find the probability that none of your numbers match the six winning numbers. (4 pts)
b) An experiment consists of picking at random a bit string of length four. Consider the following events:
E: the bit string chosen begins with 01;
E2: the bit string chosen ends with 10.
Determine whether E, and E₂ are independent. Show your work. (6 pts)
Answers
a) The probability of not matching any of the six winning numbers is the probability that all six numbers chosen by the player are not among the six winning numbers. The probability of choosing a number that is not a winning number is 39/45 since there are 45 total numbers and only 6 are winning numbers. The probability of choosing six non-winning numbers is:
(39/45) x (38/44) x (37/43) x (36/42) x (35/41) x (34/40) = 0.4361
hence, the probability that none of the player's numbers match the six winning numbers is approximately 0.4361.
b) To determine if events E and E2 are independent, we need to check if the probability of both events occurring is equal to the product of their individual probabilities.
The probability of E, the event that the bit string chosen begins with 01, is 1/4. This is because there are four possible bit strings that begin with 01: 0100, 0101, 0110, and 0111, and there are 16 possible bit strings in total (2^4).
The probability of E2, the event that the bit string chosen ends with 10, is also 1/4. This is because there are four possible bit strings that end with 10: 0010, 0110, 1010, and 1110.
The probability of both E and E2 occurring is the probability of choosing a bit string that begins with 010 and ends with 10. There are two such bit strings: 0101 and 0100. Since there are 16 possible bit strings, the probability of both E and E2 occurring is 2/16 = 1/8.
To determine if E and E2 are independent, we need to check if the probability of both events occurring is equal to the product of their individual probabilities. That is, we need to check if:
P(E and E2) = P(E) x P(E2)
Substituting the probabilities we have calculated, we get:
1/8 = (1/4) x (1/4)
Since this equation is true, we can conclude that events E and E2 are independent.
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Prove that
(secx+tanx)² =CSCx+1/CSC x-1
Answers
To prove that (secx+tanx)² = (cscx+1)/(cscx-1), we will start with the left-hand side (LHS) of the equation and simplify it step by step until it matches the right-hand side (RHS) of the equation.
LHS: (secx+tanx)²
Using the trigonometric identities secx = 1/cosx and tanx = sinx/cosx, we can rewrite the LHS as:
LHS: (1/cosx + sinx/cosx)²
Now, let's find a common denominator and simplify:
LHS: [(1+sinx)/cosx]²
Expanding the squared term, we get:
LHS: (1+sinx)² / cos²x
Next, we will simplify the denominator:
LHS: (1+sinx)² / (1 - sin²x)
Using the Pythagorean identity sin²x + cos²x = 1, we can replace 1 - sin²x with cos²x:
LHS: (1+sinx)² / cos²x
Now, let's simplify the numerator by expanding it:
LHS: (1+2sinx+sin²x) / cos²x
Next, we will simplify the denominator by using the reciprocal identity cos²x = 1/sin²x:
LHS: (1+2sinx+sin²x) / (1/sin²x)
Now, let's simplify further by multiplying the numerator and denominator by sin²x:
LHS: sin²x(1+2sinx+sin²x) / 1
Expanding the numerator, we get:
LHS: (sin²x + 2sin³x + sin⁴x) / 1
Now, let's simplify the numerator by factoring out sin²x:
LHS: sin²x(1 + 2sinx + sin²x) / 1
Using the fact that sin²x = 1 - cos²x, we can rewrite the numerator:
LHS: sin²x(1 + 2sinx + (1-cos²x)) / 1
Simplifying further, we get:
LHS: sin²x(2sinx + 2 - cos²x) / 1
Using the fact that cos²x = 1 - sin²x, we can rewrite the numerator again:
LHS: sin²x(2sinx + 2 - (1-sin²x)) / 1
Simplifying the numerator, we have:
LHS: sin²x(2sinx + 1 + sin²x) / 1
Now, let's simplify the numerator by expanding it:
LHS: (2sin³x + sin²x + sin²x) / 1
LHS: 2sin³x + 2sin²x / 1
Finally, combining like terms, we get:
LHS: 2sin²x(sin x + 1) / 1
Now, let's simplify the RHS of the equation and see if it matches the LHS:
RHS: (cscx+1) / (cscx-1)
Using the reciprocal identity cscx = 1/sinx, we can rewrite the RHS:
RHS: (1/sinx + 1) / (1/sinx - 1)
Multiplying the numerator and denominator by sinx to simplify, we get:
RHS: (1 + sinx) / (1 - sinx)
Now, we can see that the LHS and RHS are equal:
LHS: 2sin²x(sin x + 1) / 1
RHS: (1 + sinx) / (1 - sinx)
Therefore, we have proven that (secx+tanx)² = (cscx+1)/(cscx-1).
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Solve the inequality 3(x+1)<18
Answers
Answer:
3(x+1)<18
3x+3<18
3x<15
x<5
Step-by-step explanation:
What is the area of the trapezoidal window below?
Answers:
A: 21m to the second power
B: 25.5m to the second power
C 22.5m at the second power
D: 18m at the second power
Answers
Answer:
B) 25.5 m²
Step-by-step explanation:
The formula to find the area of a trapezoid: 1/2 x (a + b) x h, where a and b are the parallel lines and h is the height.
1) Input the values into the formula, and solve it.
= 1/2 x (5 + 12) x 3
= 1/2 x 17 x 3
= 1/2 x 51
= 25.5
Answer:
B
Step-by-step explanation:
A = (1/2)(3)(5 + 12)
= (1/2)(3)(17)
= (1/2)(51)
= 25.5 m^2
The graph of a quadratic function with vertex (0, 3) is shown in the figure below.
Answers
The domain of the function is (-∞, ∞.)
The range of the function is {3, ∞}.
We have,
From the given quadratic function,
We see that,
The x-values are -∞ to ∞
The y-values are from 3 to ∞
Now,
The x-values are called the domain.
The y-values are called the range.
Thus,
The domain of the function is (-∞, ∞.)
The range of the function is {3, ∞}.
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Thanks for the help whoever helps me!
Answers
Answer:
B
Step-by-step explanation:
Karen has a red ribbon that is 18 feet long and a blue ribbon that is 12 feet long.
She wants to cut both ribbons into pieces that are all the same length, and she wants to have no ribbon left over when she is done.
What is the greatest length, in feet, of each piece of ribbon that she can cut?
Answers
Answer: 6
Step-by-step explanation: 6 goes into 12 twice with none left over, and 6 goes into 18 3 times with none left over.
solve 3 1/5 = y - 12/25
Answers
3 1/5 = y - 12/25
31/5+y = -12/25
31+y = -12/25×5
31+y = -12/5
y = -12/5-31
y = -143/5
y = -28.6
HOPE IT HELPS
please help asap thank you
Answers
Answer:
10
Step-by-step explanation:
Step-by-step explanation:
the answer seems to be option c
graph the equation y=-3x-1
Answers
The graph of y=-3x-1 is given in the attachment.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The given equation is y=-3x-1
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
In the given equation slope is -3.
Let us find few values of x and y.
x 0 1 2 3 4
y -1 -4 -7 -10 -13
Hence, the graph of y=-3x-1 is given in the attachment.
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PLS HELP! 6x +5y =15
-6x - 10y =0
Answers
Answer:
X=5 y=-3
Step-by-step explanation:
Which equation represents the ellipse with vertices located at (3,-3) and (3,-13) and foci at (3,-5) and (3,-11)?
Answers
Check the picture below, so the ellipse looks more or less like so.
\(\textit{ellipse, vertical major axis} \\\\ \cfrac{(x- h)^2}{ b^2}+\cfrac{(y- k)^2}{ a^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h, k\pm a)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2- b ^2} \end{cases} \\\\[-0.35em] ~\dotfill\)
\(\begin{cases} h=3\\ k=-8\\ a=5 \end{cases}\implies \cfrac{(x-3)^2}{b^2}+\cfrac{(y-(-8))^2}{5^2}=1 \\\\\\ \stackrel{\textit{we also know that}~\hfill }{c=3\hspace{3.5em} 3=\sqrt{5^2 - b^2}} \implies 3^2=5^2-b^2\implies b=\sqrt{5^2-3^2} \implies \boxed{b=4} \\\\\\ \cfrac{(x-3)^2}{4^2}+\cfrac{(y-(-8))^2}{5^2}=1\implies \cfrac{(x-3)^2}{16}+\cfrac{(y+8)^2}{25}=1\)
Select the correct answer. In which direction must the graph of f(x) = x be shifted to produce the graph oSelect the correct answer.
In which direction must the graph of f(x) = x be shifted to produce the graph of g(x) = f(x) - 4?
A.
left and down
B.
right and up
C.
down
D.
upf g(x) = f(x) - 4? A. left and down B. right and up C. down D. up
Answers
Answer:
A. down
Step-by-step explanation:
The parent graph is
f(x)=x
If this graph is transformed to obtain
g(x)=f(x)−4
The subtracttion means the graph will shift downward vertically
The graph of g(x) is obtained by shifting f(x) down by 4 unit.
Therefore the direction is down.
Mark this as brainliest please.
How many exact tenths are in 21.34?
Answers
Answer: 3
Step-by-step explanation:
The tenths place in this number:
2 = tens place
1 = ones place
.
3 = tenths place
4 hundredths place
Answer is 3.
Look at each place value. The number shows you how much of each are there.
Tenths is the first column after the decimal point and it says 3.
I Really Need Help with this not good with graphs
Answers
Answer:
D
Step-by-step explanation:
The one dot that is a lot farther away from the rest of the points is an outlier so the answer is D.
Use the limit definition of the derivative to find a formula for f'(x) given f(x) = 3x^2 − 5
B. Use your result from part a to evaluate f'(− 1).
Answers
Answer:
Step-by-step explanation:
A. To find the formula for f'(x) using the limit definition of the derivative, we need to evaluate the following limit:
f'(x) = lim(h->0) [f(x + h) - f(x)] / h
Substituting f(x) = 3x^2 - 5, we get:
f'(x) = lim(h->0) [3(x + h)^2 - 5 - (3x^2 - 5)] / h
Expanding the square, simplifying, and canceling out the constant terms, we get:
f'(x) = lim(h->0) [6xh + 3h^2] / h
Canceling out the h's, we get:
f'(x) = lim(h->0) (6x + 3h)
Taking the limit as h approaches 0, we get:
f'(x) = 6x
Therefore, the formula for f'(x) is:
f'(x) = 6x
B. To evaluate f'(-1), we simply substitute x = -1 into the formula we found in part A:
f'(-1) = 6(-1) = -6
Therefore, f'(-1) = -6.
A coffee manufacturer is interested in the mean daily consumpiton of regular-coffee drinkers and decaffeinated-coffee drinkers. A random sample of 50 regular-coffee drinkers showed a mean of 3.84 cups per day. A sample of 40 decaffeinated-coffee drinkers shoed a mean of 3.35 cups per day. The sample stnadard deviation for those drinking regular coffee is 1.20 cups per day an 1.36 cups per day for those drinking decaffeinated coffee. Assume the population standard deviations are euql. At the 5% significance level, is the mean daily consumption of reglar-coffee drinkers greater than that of decaffeinated-cofee? Find the p-value for this hypothesis test.
Answers
Answer:
The decision rule is
Reject the null hypothesis
The conclusion
There is sufficient evidence to conclude that mean daily consumption of regular-coffee drinkers greater than that of decaffeinated-coffee.
The p-value is \(p-value = 0.03682 \)
Step-by-step explanation:
From the question we are told that
The first sample size is \(n_ 1 = 50\)
The first sample mean is \(\=x_1 = 3.84\)
The first sample standard deviation is \(s_1 = 1.26\)
The second sample size is \(n_2 = 40\)
The second sample mean is \(\=x_2 = 3.35 \)
The second sample standard deviation is \(s_2 = 1.36\)
The level of significance is \(\alpha = 0.05\)
The null hypothesis is \(H_o : \mu_1 = \mu_2\)
The alternative hypothesis is \(H_a : \mu_1 > \mu_2\)
Generally the test hypothesis is mathematically represented as
\(t = \frac{( \= x_1 - \= x_2 ) - 0}{ \sqrt{ \frac{s^2_1 }{n_1} + \frac{s^2_2}{n_2} } }\)
=> \(t = \frac{( 3.84 - 3.35 ) - 0}{ \sqrt{ \frac{1.26^2 }{50} + \frac{1.36^2}{40} } }\)
=> \( t = 1.789 \)
Generally the p-value is mathematically represented as
\(p-value = P(t > 1.789)\)
From the z table
\(\Phi (1.789) = 0.03682\)
So
\(p-value = P(t > 1.789) = 0.03682 \)
From the value obtained we see that \(p-value < \alpha\) hence
The decision rule is
Reject the null hypothesis
The conclusion
There is sufficient evidence to conclude that mean daily consumption of regular-coffee drinkers greater than that of decaffeinated-coffee
HELP PLEASE I’m having troubles!!!
Answers
1. The velocity at time t , v(t) = (18t² + 3 ) m/s
2. The velocity at time t = 3 seconds = 165 m/s
3. The acceleration at time t, a(t) =( 36t )m/s²
4. The acceleration at time t = 3 seconds = 108 m/s²
What is instateanou velocity and acceleration?The quantity that tells us how fast an object is moving anywhere along its path is the instantaneous velocity.
Instantaneous acceleration is defined as the ratio of change in velocity during a given time interval such that the time interval goes to zero.
1. s(t) = 6t³ + 3t +9
to find the velocity at time t, we differentiate s(t)
= 18t² + 3
2. at t = 3s
= 18(3)² +3
= 165 m/s²
3. v(t) = 18t² + 3
to get the acceleration at time t, we differentiate v(t)
= 36t
4. when t = 3
a = 36 × 3
= 108 m/s²
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Find a formula for the inverse of the following function, if possible.
\(A(x) = \frac{3}{3x - 4}\)
\(A^{-1} (x) = ___________ does not have an inverse function
Selecting a radio button will replace the entered answer value(s) with the radio button value. If the radio button is not selected, the entered answer is used.
Answers
Answer:
hi
Step-by-step explanation:
An aerodynamic 1,000 kg car takes about 270 newtons of force to maintain a speed of 25 m/s. how much horsepower is required from the engine to maintain this speed?
Answers
Answer:
9.05 horse power
Step-by-step explanation:
Given:
Force = 270 Newton
Speed = 25 m/s
Power = Force * velocity
Power = 270 Newton * 25 m/s
Power = 6750 watt
Recall:
1 horse power = 746 watts
Hence, required horsepower is :
6750 watt / 746 watt
9.048 hp
9.05 horse power
Dean ran 2.3 fewer kilometers than Sam. If Dean ran 6.8 km, how far did Sam run?
A 2-column table with 4 rows. Column 1 is labeled Situation with entries increasing, difference, finding part of a total, sharing or grouping. Column 2 is labeled Operation with entries +, minus, times, divided by.
Select all that apply.
You know the difference in the distances the boys ran, so this is a subtraction problem.
You are finding the total distance the boys ran, so this is an addition problem.
Dean ran part of the distance Sam ran, so this is a multiplication problem.
The correct equation is s + 2.3 = 6.8.
The correct equation is s – 2.3 = 6.8.
The correct equation is 2.3s = 6.8.
Answers
Answer:
A,E
Step-by-step explanation:
Operation: Minus
To find how far Sam ran, we need to subtract 2.3 from Dean's distance of 6.8 km.
6.8 km - 2.3 km = 4.5 km
Therefore, Sam ran 4.5 km, since Dean ran 2.3 km fewer than Sam.
Answer:
a and e
Step-by-step explanation:
got it right on homework
A bag contains balls colored in 7 different colors. What is the minimum no of balls one need to pick in order to get three balls of same color
Answers
Answer:
twenty one balls.
Step-by-step explanation:
there would be three of each colour.
Answer:
the real answer is 15
Step-by-step explanation:
the final game is altered. bag one 5 red balls
Answers
Answer:
what are you talking about
Step-by-step explanation:
Answer:
five red balls one bag
Please help! Find what the value of y is for each one. The value for x is given already. (Picture included)
Worth 30 points! :)
Answers
Ok. My answer I came up with is:
y=2-3x
Thanks
I have another riddle.
If you buy one rabbit and a rabbit can produce 5 per year, then how many rabbits will you have in 9 years?
Answers
Total number of rabbits produced in 9 years will be 45.
What is Equation Modelling?
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.
Given is a rabbit can produce 5 new rabbits per year
Total number of rabbits produced in 9 years will be -
n = 5y = 5 x 9 = 45 new rabbits
Therefore, total number of rabbits produced in 9 years will be 45.
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the product of number is 1 236 if one factor is 103 what is the other factor?
12 or 10 or 9 or 8?
Answers
Answer:
The other factor is 12⇒ A
Step-by-step explanation:
The factors of a number are all the numbers multiplied to form this number
Examples:
The factors of 12 are 1, 2, 3, 4, 6, 12 because
1 × 12 = 12
2 × 6 = 12
3 × 4 = 12
∵ The product of numbers = 1236
∵ One factor of that number is 103
∴ ------ × 103 = 1236
→ Divide the number by its factor to find the other number
∴ 1236 ÷ 103 = -------
∵ 123 ÷ 103 = 1 R 20
∵ 206 ÷ 103 = 2
∴ 1236 ÷ 103 = 12
∴ The other factor is 12
The mass of an isotope decreases at a rate that is proportional to the mass at that time.
The mass of the isotope was 40 grams initially, and it was 10 grams after 16 days.
What was the mass of the isotope after 20 days?
Answers
Answer:
7 milligrams
Step-by-step explanation:
The mass of the isotope after 20 days is approximately 7 grams.
Suppose the mass of the isotope decreases exponentially according to the function given below.
\(m(t)=40a^t\)
What is an exponential function?A function of the form \(ab^x\) is called an exponential function where b≠1.
The mass of the isotope was 10 grams after 16 days.
So, \(10=40a^{16}\)
\(\frac{1}{4} =a^{16}\)
\(a=0.917\)
So, \(m(t)=40(0.917)^t\)......(1)
So, to calculate the mass of the isotope after 20 days put t=20 in (1)
\(m(20)=40*0.917^{20}\)
\(m(20)=7.07\)
So, the mass of the isotope after 20 days is approximately 7 grams.
Hence, the mass of the isotope after 20 days is approximately 7 grams.
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Translate the sentence into an equation using n to represent the unknown number. Then solve the equation for n.
a number subtracted from 46 is -21
a.
46 minus n = negative 21. n = 67
b.
46 minus 21 = n. n = 67
c.
46 minus 21 = n. n = 25
d.
46 minus n = negative 21. n = 75
Answers
Answer: a.
Step-by-step explanation:
46 is subtracted by n to get -21 so the equation is 46 - n = -21
Add n on both sides; 46 - n + n = -21 + n; 46 = -21 + n
Add 21 on both sides; 46 + 21 = -21 + n + 21; 67 = n
So n = 67
Find the critical value tα/2 that corresponds to a 90% confidence level and a sample size of 7.
a) 1.943
b) 1.645
c) 3.707
d) 1.895
Answers
A
Step-by-step explanation:
hope it helps
Which of the following functions is graphed below?
Answers
would be the function graphed, since its moved left 3, and down 4