Answers
Answer:
Angle 1 and Angle 8 are alternate exterior angles.
Step-by-step explanation:
If this helps please mark as brainliest
Related Questions
help! How many square feet of outdoor carpet will we need for this hole
Answers
Try to find the area of the brown spots, which filled in as green, would make one big rectangle.
1. Take the whole area of the rectangle (use the area of the brown rectangle around the green, and the area of the brown triangle towards the top left).
The area for the brown rectangle
A = b*h becomes A = 2*3 = 6 ft^2
Area for brown triangle (upper-left) is found by the length of the whole figure shown. The whole length is 12ft at the bottom; at the top, we know 6ft and 2ft. Therefore, the missing measurement there is 12ft - (6ft + 2ft) = 4ft
Area for the triangle (I will include some trigonometry; don’t be afraid to use it!:)
Find the long side of the triangle:
Pythagorean Theorem: a^2 + b^2 = c^2
which becomes:
3^2 + 4^2 = c^2
9 + 16 = c^2
c^2 = 25
sqrt(c^2) = sqrt(25)
c = 5
Next,
I know there are easier formulas and processes for the following, but they will work.
S (semiperimeter)= 1/2(a+b+c)
Counting up the sides of the triangle, then dividing by two will give you your semiperimeter.
Then,
A= sqrt [(S)(S-a)(S-b)(S-c)] = 6
I believe that the S value and a value are the same because that brown triangle made earlier is a 3-4-5 triangle (the sides).
Finally, now that we know the area of the brown rectangle and the brown triangle, we can subtract them from the big rectangle!
1. The big rectangle: A= b*h becomes A = 12*5 = 60 ft^2
2. Take the 60 ft^2 and set up the following:
60 ft^2 - (6ft^2+6ft^2) = 60ft^2 - 12ft^2 = 48ft^2, as the final answer.
find the exact value of sin(0) when cos(0) =3/5 and the terminal side of (0) is in quadrant 4
Answers
When the cosine of an angle (0) is 3/5 and the angle lies in quadrant 4, the exact value of the sine of that angle is -4/5.
To find the exact value of sin(0), we can utilize the Pythagorean identity, which states that \(sin^2(x) + cos^2(x) = 1,\) where x is an angle in a right triangle. Since the terminal side of the angle (0) is in quadrant 4, we know that the cosine value will be positive, and the sine value will be negative.
Given that cos(0) = 3/5, we can determine the value of sin(0) using the Pythagorean identity as follows:
\(sin^2(0) + cos^2(0) = 1\\sin^2(0) + (3/5)^2 = 1\\sin^2(0) + 9/25 = 1\\sin^2(0) = 1 - 9/25\\sin^2(0) = 25/25 - 9/25\\sin^2(0) = 16/25\)
Taking the square root of both sides to find sin(0), we have:
sin(0) = ±√(16/25)
Since the terminal side of (0) is in quadrant 4, the y-coordinate, which represents sin(0), will be negative. Therefore, we can conclude:
sin(0) = -√(16/25)
Simplifying further, we get:
sin(0) = -4/5
Hence, the exact value of sin(0) when cos(0) = 3/5 and the terminal side of (0) is in quadrant 4 is -4/5.
For more question on cosine visit:
https://brainly.com/question/30766161
#SPJ8
Note the correct and the complete question is
Q- Find the exact value of sin(0) when cos(0) =3/5 and the terminal side of (0) is in quadrant 4 ?
Given f(x)=x5−4x3+10, find the x-coordinates of all local minima using the second derivative test. If there are multiple values, give them separated by commas. Calculate If there are no local minima, enter ∅.
Answers
There are two local minima which are: x = sqrt(12/5), x = -sqrt(12/5)
To find the x-coordinates of all local minima using the second derivative test;
1. Find the first derivative of f(x): f'(x)
2. Set f'(x) to 0 and solve for x to find critical points
3. Find the second derivative of f(x): f''(x)
4. Evaluate f''(x) at the critical points
5. If f''(x) > 0 at a critical point, it is a local minimum
Find the first derivative of f(x) = x^5 - 4x³ + 10:
f'(x) = 5x^4 - 12x²
Set f'(x) to 0 and solve for x:
0 = 5x^4 - 12x²
x² (5x² - 12) = 0
Solutions: x = 0, x = sqrt(12/5), x = -sqrt(12/5)
Find the second derivative of f(x):
f''(x) = 20x³ - 24x
Evaluate f''(x) at the critical points:
f''(0) = 0
f''(sqrt(12/5)) = 20(sqrt(12/5))³ - 24(sqrt(12/5))
f''(-sqrt(12/5)) = -20(sqrt(12/5))³ - 24(-sqrt(12/5))
Determine if the critical points are local minima:
f''(0) = 0, inconclusive
f''(sqrt(12/5)) > 0, local minimum
f''(-sqrt(12/5)) > 0, local minimum
So, there are two local minima: x = sqrt(12/5), x = -sqrt(12/5)
More on local minima: https://brainly.com/question/29428785
#SPJ11
biocalculus [calculus, probability, statistics for the life sciences] by james stewart and troy day webassign
Answers
"Biocalculus: Calculus, Probability, and Statistics for the Life Sciences" by James Stewart and Troy Day is a comprehensive textbook designed to introduce the concepts of calculus, probability, and statistics within the context of life sciences.
"Biocalculus" is specifically tailored for students pursuing life science disciplines, such as biology, biochemistry, and genetics. The book covers essential mathematical topics including limits, derivatives, integration, and differential equations, emphasizing their relevance to biological phenomena and processes. The authors incorporate numerous examples and exercises that focus on real-world applications in areas such as population dynamics, genetics, epidemiology, and pharmacokinetics.
By integrating calculus with probability and statistics, the book equips students with the necessary tools to analyze and interpret data in the life sciences. It introduces key concepts such as probability distributions, hypothesis testing, regression analysis, and experimental design, highlighting their importance in biological research. The authors take a step-by-step approach, providing clear explanations and detailed calculations, ensuring that students grasp the mathematical concepts and their practical implications.
Overall, "Biocalculus: Calculus, Probability, and Statistics for the Life Sciences" serves as an invaluable resource for life science students, helping them develop a strong mathematical foundation and enabling them to apply quantitative methods effectively in their future research and careers.
Learn more about probability here:
https://brainly.com/question/31828911
#SPJ11
Pls help ASAP! 20pts! What is the value of sin N? What is the value of x to the nearest tenth? What is the value of x to the nearest degree?
Answers
Answer:
1.
\(C.\\sin(N)=\frac{\sqrt{3} }{2}\)
2.
\(x=82.1\)
3.
x = 18°
Step-by-step explanation:
1. The sine ratio is sin(θ) = opposite/hypotenuse, where θ is the reference angle. When N is the reference angle, we see that side OP with a measure of 5√3 units is the opposite side and side NP with a measure of 10 units is the hypotenuse.
Thus, we can find plug everything into the sine ratio and simplify:
\(sin(N)=\frac{5\sqrt{3} }{10} \\\\sin(N)=\frac{\sqrt{3} }{2}\)
2. We can use the tangent ratio to solve for x, which is tan (θ) = opposite/adjacent. If we allow the 75° to be our reference angle, we see that the side measuring x units is the opposite side and the side measuring 22 units is the adjacent side. Thus, we can plug everything into the ratio and solve for x or the measure of the opposite side:
\(tan(75)=\frac{x}{22}\\ \\22*tan(75)=x\\\\82.10511777=x\\\\82.1=x\)
3. Since we're now solving for an angle, we must using inverse trigonometry. We can use the inverse of the tangent ratio, whose equation is tan^-1 (opposite/adjacent) = θ. We see that when the x° is the reference angle, the side measuring 11 units is the opposite and the side measuring 33 units is the adjacent side. Now we can do the inverse trig to find the measure of x:
\(tan^-^1(\frac{11}{33})=x\\ 18.43494882=x\\18=x\)
what are congruent triangles.
Answers
Answer:
Congruent triangles are triangles that have the same size and shape.
We say that the two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.
Step-by-step explanation:
A triangle has side lengths of 3 meters, 2 meters, and 3 meters. What kind of triangle is it?
Answers
Answer:
Isosceles my dude
Step-by-step explanation:
Answer:
scalene triangle
Step-by-step explanation:
this is because there is only one side that is diffrent
pls helppppppppppppppppppp
Answers
Answer:
Angle X and Z
Step-by-step explanation:
just a hunch
Answer:
X and Y
Step-by-step explanation:
I think that by remote it means not next to W so the only interior angles not next to angle W are angles X and Y.
You have asked a random sample of 40 Clemson students how many credit hours they are taking. The resulting 98% confidence interval for the mean number of credit hours that Clemson students take is (12.8, 17.6) hours.
30. If we generate 1200 samples of size 40 and calculate the confidence intervals from them, we are expecting to see how many (not percentage!) of these intervals will contain the true mean?
31. If we generate 300 samples of size 40 and calculate the confidence intervals from them, we are expecting to see how many (not percentage!) of these intervals will NOT contain the true mean?
32. Given such 98% interval of (12.8, 17.6) hours, whether the true mean is contained in it?
A. Yes
B. No
C. Cannot be determined
Answers
C is the true mean is contained in it.
how many intervals are expected to contain the true mean at a 98% confidence level?Since we have a 98% confidence interval, we expect 98% of the intervals generated from the 1200 samples to contain the true mean. Therefore, we expect 0.98 x 1200 = 1176 intervals to contain the true mean.
Since we have a 98% confidence interval, we expect 2% of the intervals generated from the 300 samples to not contain the true mean. Therefore, we expect 0.02 x 300 = 6 intervals to not contain the true mean.
We cannot determine with certainty whether the true mean is contained in the given interval, but we can say that there is a 98% probability that the true mean falls within the interval
Therefore, the answer is C.
Lear more about confidence interval
brainly.com/question/29680703
#SPJ11
10. A bag contains 3 red marbles, 7 white marbles, and 5 blue marbles. You draw 3 marbles, replacing each one before drawing the next. What is the probability of drawing a red, then a blue, and then a white marble?
Answers
the probability of drawing a red, then a blue, and then a white marble is \(=\frac{7}{225}\)
To find probability, we take the number of ways the specific event can occur and divide it by the number of ways any event can occur.
The probability of drawing a red marble is: (of red marbles) / (total # of marbles) = 3/(3 + 7 + 5) = 3÷15 = 1÷5.
The probability of drawing a blue marble is: ( of blue marbles) / (total # of marbles) = 5/(3 + 7 + 5) = 5÷15 = 1÷3.
The probability of drawing a white marble is: ( of white marbles) / (total # of marbles) = 7/(3 + 7 + 5) = 7÷15.
Now, we want these events to all to occur for us. So, we must multiply them by each other: (1/5) * (1/3) * (7/15) \(=\frac{7}{225}\)
Thus, the probability is \(=\frac{7}{225}\)
learn more about probability,
https://brainly.com/question/30034780
#SPJ1
In a trial of 218 patients who received 10-mg doses of a drug daily, 48 reported headache as a side effect.
a) Construct and interpret a 99% confidence interval for the population proportion of patients who receive the drug and report a headache as a side effect.
Answer?
One can be enter your response here ? % confident that the proportion of patients who receive the drug and report a headache as a side effect is between ? and ?
(Round to three decimal places as needed. Use ascending order.)
Answers
We can be 99% confident that the proportion of patients who receive the drug and report a headache as a side effect is between 0.218 and 0.798 (rounded to three decimal places).
the area of a kite is 78 in^2. the length of one diagonal is 12 inches. what is the length of the other diagonal. Please Show your Work
Answers
The length of the other diagonal (d2) is 13 inches.
To find the area of a kite, you can use the formula:
Area = (d1 * d2) / 2
where d1 and d2 are the lengths of the two diagonals.
You are given that the area of the kite is 78 square inches and the length of one diagonal (d1) is 12 inches. We can plug these values into the formula and solve for the length of the other diagonal (d2):
78 = (12 * d2) / 2
To solve for d2, follow these steps:
1. Multiply both sides of the equation by 2:
156 = 12 * d2
2. Divide both sides of the equation by 12:
d2 = 156 / 12
3. Calculate the result:
d2 = 13
To learn more about : length
https://brainly.com/question/28322552
#SPJ11
How many terms are in 3x 5 9?
Answers
The number of terms in the binomial expansion of (3x+5)^9 is 10.
What is binomial expansion?
Binomial expansion is obtained using the binomial theorem on an expression which is raised to a finite power.
The expansion of (x+y)^p contains (p+1) terms in total.
The exponents of x and y added together are always p.
As, we know that the number of terms in the binomial expansion of (x+y)^p is given by
N=p+1
Therefore, in the given binomial expansion,
p=9
So, the number of terms(N) in the given binomial expansion will be
N=9+1=10
Hence, there are 10 terms in the binomial expansion of (3x+5)^9.
Learn more about binomial expansion from the given link:
https://brainly.com/question/25086608
#SPJ4
Question: How many terms are there in binomial expansion of (3x+5)^9?
Find the volume of the triangular prism to the right.
6 height
11 base
Answers
The volume of the triangular prism is 198 cubic units.
To find the volume of a triangular prism, we need to multiply the area of the base triangle by the height of the prism.
In this case, the base of the triangular prism is a triangle with a base of 11 units and a height of 6 units, so the area of the base is:
Area of base = (1/2) × base × height
Area of base = (1/2) × 11 units × 6 units
Area of base = 33 square units
The height of the prism is given as 6 units.
Therefore, the volume of the triangular prism is:
Volume of prism = Area of base × Height
Volume of prism = 33 square units × 6 units
Volume of prism = 198 cubic units
For similar question on volume:
https://brainly.com/question/1578538
#SPJ11
find a proposition with three variable p, q and r that is true when at most one of the three variables is true, and false otherwise quizlet
Answers
The proposition "At most one of p, q, and r is true" can be represented as (p ∧ ¬q ∧ ¬r) ∨ (¬p ∧ q ∧ ¬r) ∨ (¬p ∧ ¬q ∧ r).
To understand the proposition, let's break it down. The statement "At most one of p, q, and r is true" means that either only one of the variables is true or none of them are true.
The proposition consists of three cases joined by the logical OR operator (∨):
1. p is true and q and r are false: (p ∧ ¬q ∧ ¬r)
2. q is true and p and r are false: (¬p ∧ q ∧ ¬r)
3. r is true and p and q are false: (¬p ∧ ¬q ∧ r)
In each case, only one variable is true, and the other two are false. By using the logical OR operator, we ensure that if any of these cases are true, the entire proposition is true.
However, if more than one variable is true (e.g., p and q are true, or all three variables are true), the proposition becomes false because it violates the condition "at most one of the three variables is true." Therefore, the proposition accurately represents the desired condition.
LEARN MORE ABOUT proposition here: brainly.com/question/30895311
#SPJ11
The pair of figures is similar. Find x. Round to the nearest tenth if necessary.
26 cm
19.1 cm
26.5 cm
12.2 cm
Answers
Answer:
a
Step-by-step explanation:
A school has 6 3/4 kg of detergent in stock. During ' Use Your Hands ' campaign, each class will be given 3/8 kg of detergent. There are 28 classes in the school.
(a) What fraction of the school will be supplied with the detergent in stock?
(b) How much detergent will be required altogether for the whole school?
(c) How much more detergent does the school need to order?
(d) If the school gives out the detergent in stock to the 15 lower secondary classes first,
(i) how much detergent will be given out;
(ii) how much detergent in stock will be left?
Answers
Answer:
Step-by-step explanation:
Total stock available = 6 x 3/4 = 18/4
Detergent given to each class=3/8
Total number of classes in the school = 28
Total detergent required by the school=3/8*28
=42/4
a. Fraction if the school who will get the detergent=18/42
b. Total required detergent for the whole school= 42/4
c. School needs to order = 42/4 - 18/4
= 24/4
= 6
d. i. Detergent given out to 15 classes = 15 x 3/8
= 45/8
ii. There will be no detergent left in stock
What is the value of x?
Answers
Answer. it is 5 or letter i
Answer:
The value of x is 5
Step-by-step explanation:
Using the linear pair theorem, both angles are supplementary and add up to 180 degrees. 180 minus 140 is 40. and 8 times 5 = 40. So x = 5.
mathematical connections you have 20 gallons of roof coating to apply to the roof of a mobile home that is
16 feet wide. twenty gallons covers 760 to 1000 square feet. find the interval for the length x that you will cover
before you need to buy more roof coating. write your answer in interval notation.
Answers
The interval of the length of the roof that can be covered with 20 gallons of roof coating is 80 to 100 feet.
The amount of roof coating needed to cover a roof depends on the size of the roof. In this scenario, the roof of a mobile home is 16 feet wide. This means that the roof has an area of 16ft². To calculate the interval of the length of the roof that can be covered with 20 gallons of roof coating, we need to use the coverage rate of 760 to 1000 square feet per 20 gallons. . This gives us an interval of 80 to 100 feet. Therefore, the interval of the length of the roof that can be covered with 20 gallons of roof coating is 80 to 100 feet, written in interval notation as [80, 100] ft.
1. Find the area of the roof:
Area = 16ft²
2. Find the coverage rate per 20 gallons of roof coating:
Coverage rate
= 760 to 1000 square feet
3. Divide the coverage rate by the area of the roof to get the interval of the length of the roof:
Interval
= (760 to 1000 square feet) / 16ft²
Interval
= [80, 100] ft
Learn more about length here
https://brainly.com/question/13194650
#SPJ4
The mechanic averages 15 miles per hour for the round trip. How long is the mechanic away from the shop
Answers
The time the mechanic is away from the shop is 2 hours.
To find the time the mechanic is away from the shop, we need to know either the distance of the round trip or the speed of the mechanic on one of the legs of the trip.
For example, if we know that the distance of the round trip is 30 miles, we can use the formula:
time = distance / speed
where speed is the average speed for the round trip, which is given as 15 miles per hour.
So, the time the mechanic is away from the shop would be:
time = 30 miles / 15 miles per hour = 2 hours
But without knowing the distance of the round trip or the speed of the mechanic on one of the legs of the trip, we cannot calculate the time the mechanic is away from the shop.
for such more question on distance
https://brainly.com/question/12356021
#SPJ11
One side of a rectangle is 9 cm and the diagonal is 15 cm. what is the what is the other side of the rectangle?
Answers
Answer:
Find the perimeter of the rectangle. Then we have the length of the other side is 12 cm 12 \ \text{cm} 12 cm.
Answer:
12cm
15
\(15 \times15 - 9 \times 9 = \sqrt{144 = 1} } \)
Need answers quickly need it step by step
(−5)2 −2×(−9)+6=
(−9)−(−8)+2×42=
8÷(−4)×(−6)2 +7=
10×5−(−6)2 +(−8)=
(10 ÷ (−5) − (−2)) × (−3)3=
3×10+8−42=
(−3)3 −2+8÷(−8)=
4×(−8)+6−(−2)3=
(−5)2 ×3÷5+9=
4 × (−6) ÷ 8 + 33=
Thanks
Answers
Answer:
Step-by-step explanation:
1. -10+18+6=8+6=14
2. -1+84=83
3. -2×(−6)2 +7=12×2+7=24+7=31
4. 50-(−6)2 +(−8)=50+12-8=62-8=54
5. (-2+2)× (−3)3=0× (−3)3=0
6. 30+8-42=38-42=-4
7. -9-2-1=-12
8. -32+6+6=-20
9. -10×3÷5+9=-30÷5+9=-6+9=3
10. -24÷ 8 + 33=-3+33=30
please help with this
Answers
11) 25, 30 , 35 , 40 , 45, 50
12) 9, 18 , 27 , 36 ,45 , 54
Answer:
10. 28,30,34
11. 25,30,35,40,50
12. 27, 36, 54
Write the system first as a vector equation and then as a matrix equation. 5x1 + x2 - 3x3 = 8 2x2 + 4x3 = 0
Answers
The system can be written as a vector equation as [5, 1, -3] [x1, x2, x3]^T = [8, 0]^T and as a matrix equation as AX = B, where A = [5 1 -3; 0 2 4], X = [x1; x2; x3], and B = [8; 0].
To write the given system as a vector equation, we group the variables and the constants into vectors and write the equations in a matrix form. Thus, the system can be written as [5x1 + x2 - 3x3; 2x2 + 4x3] = [8; 0], which is a vector equation.
To write the system as a matrix equation, we can write the coefficients of the variables in a matrix A, the variables in a vector X, and the constants in a vector B. Thus, the system can be written as AX = B, where A = [5 1 -3; 0 2 4], X = [x1; x2; x3], and B = [8; 0].
We can then solve for X by finding the inverse of A and multiplying both sides of the equation by it.
To know more about vector equation, refer here:
https://brainly.com/question/30561769#
#SPJ11
A post office has 2 clerks. Alice enters the post office while 2 other customers, Bob and Claire, are being served by the 2 clerks. She is next in line. Suppose a clerk’s serving time for any customer follows an exponential distribution with parameter λ independently. Customers will be served once any of the clerks are available.
What is the probability that Bob the last customer to leave the post office?
Answers
The probability that Bob is the last customer to leave the post office comes out as (1 - e^(-λx))^2. The probability that Bob is the last customer to leave the post office can be calculated using the exponential distribution formula.
The exponential distribution is a continuous probability distribution used to model the time between events in a Poisson process. The formula for the exponential distribution is: P(X=x) = λe^(-λx)
Where X is the random variable representing the time between events, λ is the rate parameter, and e is the base of the natural logarithm.
P(Bob is the last customer to leave) = P(Bob's serving time > Alice's serving time) * P(Bob's serving time > Claire's serving time). Since the serving times follow an exponential distribution with parameter λ, we can use the formula to calculate the probabilities:
P(Bob's serving time > Alice's serving time) = ∫_0^∞ λe^(-λx) dx = 1 - e^(-λx)
P(Bob's serving time > Claire's serving time) = ∫_0^∞ λe^(-λx) dx = 1 - e^(-λx)
P(Bob is the last customer to leave) = (1 - e^(-λx))^2
Therefore, the probability that Bob is the last customer to leave the post office is (1 - e^(-λx))^2.
Know more about exponential distribution here:
https://brainly.com/question/28235111
#SPJ11
the sum of the squared deviation scores is ss = 20 for a population of n = 5 scores. what is the variance for this population? group of answer choices 4 5 80 100
Answers
The variance for this population is 5.Hence, the correct option is 5.
Given that, the sum of the squared deviation scores is ss = 20 for a population of n = 5 scores. Now we have to find the variance for this population.
Variances can be found using the formula: variance = s^2 = SS / (n - 1)Here, SS = 20n = 5 We have to substitute the given values into the variance formula, which gives us: s^2 = 20 / (5 - 1)s^2 = 20 / 4s^2 = 5.
So, the variance for this population is 5. Hence, the correct option is 5.
For more such questions on variance
https://brainly.com/question/15858152
#SPJ8
Evaluate 5c-3d + 11 when c= 7 and d = 8.
Answers
the Answer is 22 if that helpes :)
HELP
Compare and contrast these four functions using complete sentences. Focus on the slope and y-intercept first, and then on any additional properties of each function. (10 points)
Answers
The second and third functions both decrease with a slope of -4, but the second fiction has a y intercept of -3 and the third has a y intercept of +3. The first and fourth functions are both increasing with a slope of positive 4. The first one has a y intercept of -3, but the fourth has a y- intercept of -3. all of the functions are linear.
it helps to write all as equations
ILL MARK AS BRAINLESS PLS HELP
Answers
Answer:
95-3^4=14
Step-by-step explanation:
3^4=81
95-81=14
Part A: 176
Part B: First, I did is multiple 3 to the common denominator by 4 times with the same number and that would give you a positive number of 81, then I combined 81 with 95 and your solution is 176.
Step-by-step explanation:
Part A:
-3^4 = -3x-3x-3x-3
-3^4 = 81
95+81 = 176
a ferris wheel has five cars, each containing four seats in a row. there are 20 people ready for a ride. in how many ways can the ride begin? what if a certain two people want to sit in different cars?\
Answers
There are 5 possible ways for the ride to begin.
The ferris wheel has 5 cars with 4 seats in each car, making a total of 20 seats. If there are 20 people ready for the ride, then each car can have 4 people. Therefore, there are 5 possible ways for the ride to begin.
If two certain people want to sit in different cars, then there are 4^2 (4x4) combinations of cars for these two people. This gives us 16 possible ways for the ride to begin.
Learn more about Ride to begin
brainly.com/question/28565842
#SPJ11