Solve the triangle (find all three missing measurements). All responses should
be rounded to the nearest whole number.
Answers
Answer:
Step-by-step explanation:
Let's use Law of Sines to find angle X
recall Sin(A) / a = Sin(B) / b
where A = 118 and a = 30 m
X = B and b = 18 m
then
Sin(118) / 30 = Sin(B) / 18
0.0294315 = Sin(B) / 18
18 * 0.0294315 = Sin(B)
0.529768 = Sin(B)
arcSin(0.529768) = arcSin(Sin(B) )
31.9898 = B
x =32°
then since we know 2 of the 3 angles inside the triangle and we know they add to 180 , then
180 = 118 +32 + y
30 = y
y = 30°
Let's use law of Sines once more to find side z
so Sin(A) / a = Sin(B) / b
where A= 30 and a = z
and B = 118 and b = 30
( notice how I reassigned things for this new problem ? )
Sin(30) / z = Sin(118) / 30
0.5 / z = 0.0294315
0.5 / 0.0294315 = z
16.988 = z
z = 17 m
You are done, for now. Hope this is helping you "get this" :)
Related Questions
Pls find B asap.....
Answers
Answer:
Point B is at coordinate point (7,9)
The simple interest on a certain sum for 3 years is rupees 225 and the compound interest on the same sum at the same rate for 2 years is rupees 153 find the rate of interest and the principle
Answers
The principal amount is Rs. 468.75 and the rate of interest is 16% per annum.
How to solve for the principal amountAccording to the given information, the simple interest on the principal amount for 3 years is Rs. 225, so we have:
Simple Interest (S.I.) = P * r * t = 225
Substituting t = 3 years, we get:
P * r * 3 = 225
P * r = 75 --- (1)
Also, the compound interest on the same principal amount and at the same rate for 2 years is Rs. 153, so we have:
Compound Interest (C.I.) = \(P * (1 + r)^t - P = 153\)
Substituting t = 2 years, we get:
\(P * (1 + r)^2 - P = 153P * [(1 + r)^2 - 1] = 153P * [(1 + r + r^2) - 1] = 153P * (r + r^2) = 153 / 2\)--- (2)
Dividing equation (2) by equation (1), we get:
(r + r^2) / r = (153 / 2) / 75
Simplifying and solving for r, we get:
r^2 + r - 0.68 = 0
Using the quadratic formula, we get:
r = (-1 ± √(1 + 4 * 0.68)) / 2
r = (-1 ± 1.32) / 2
Since r cannot be negative, we take the positive value:
r = (0.32) / 2 = 0.16
Substituting r = 0.16 in equation (1), we get:
P * 0.16 = 75
P = 75 / 0.16 = Rs. 468.75
Therefore, the principal amount is Rs. 468.75 and the rate of interest is 16% per annum.
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A video game store was getting rid of old games, selling them 5 for $102.05. If they sold 3 games, how much money would they have made?
First determine how much one game would be and then calculate how much they would make selling 3 games. You must answer BOTH.
one game costs $________
3 games would make them $_______
Answers
Answer:
20.41
Step-by-step explanation:
I got the answer by doing 102.05 divided by 5 the took that number and multiplied it by 3 to get the answer 61.23
Archie can walk 1 mile in 1/3 hours how far can he walk in 3 hours
Answers
Answer:
9
Step-by-step explanation:
he can walk 3 miles in an hour and there are 3 hours so 9
Answer:
the answer is 9
At a restaurant, Julio's bill totals $37.60 (before tip). He leaves a 15% tip. Find the amount Julio left for tip.
Answers
Answer:
$5.64 is left for tip.
Step-by-step explanation:
Given that,
The total bill of Julio = $37.60
He leaves a 15% tip.
We need to find the amount Julio left for the tip.
The left amount can be calculated as follows :
\(L=15\%\ of\ 37.60\\\\=\dfrac{15}{100}\times 37.60\\\\=\$5.64\)
So, Julio left $5.64 for tip.
if the transformation was a rotation, tiffany..... be certain the trapezoids are congruent
A. can
B. cannot
Answers
Two figures are congruent when their corresponding angles are equal and they have the same shape and size.
A figure can go thorugh 3 types of transformations:
Rotation: the figure is turned around a fixed point;
Reflection: is created by fliping over the figure over a line;
Translation: move the figure to another location, without changing its size;
As long the figure doesn't change its size or shape, it doesn't matter if it's rotated, reflected or translated, they will be congruent.
When the trapezoid was rotated creating another one, the two shapes didn't change its size or shape, so Tiffany can be certain they are congruent.
two machines turn out all the products in a factory, with the first machine producing 69% of the product and the second machine producing the rest. the first machine products defective products 8% of the time and the second machine 9% of the time. what is the probability that a part made in this factory is not defective?
Answers
The probability that a part made in this factory is not defective is 0.9169
The probability that a part made in this factory is not defective can be found by using the formula P(A) = P(A|B) * P(B) + P(A|C) * P(C), where A is the event of not being defective, B is the event of being produced by the first machine, and C is the event of being produced by the second machine.
First, we need to find the probability of a part being produced by the first machine and not being defective. This is given by P(A|B) * P(B) = 0.92 * 0.69 = 0.6348.
Next, we need to find the probability of a part being produced by the second machine and not being defective. This is given by P(A|C) * P(C) = 0.91 * 0.31 = 0.2821.
Finally, we can add these two probabilities together to find the overall probability of a part not being defective: P(A) = 0.6348 + 0.2821 = 0.9169.
Therefore, the probability that a part made in this factory is not defective is 0.9169.
Answer: 0.9169.
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the graph shows a proportional relationship between the number of teams and the total number of players in a league. What does the ordered pair (4,24) represent?
Answers
Answer:
There are a total of 24 players on 4 teams
Step-by-step explanation:
Trynna cheat on your math diagnostic huh. IM TELLING ON YOU!!!
The ordered pair (4,24) represent that there are total 24 players in total 4 teams.
The correct option (A)
What do you mean by proportionality?The term proportionality describes any relationship that is always in the same ratio. for example, The number of apples in a crop, is proportional to the number of trees in the orchard, the ratio of proportionality being the average number of apples per tree.
As, proportionality indicates that the two quantities will increase or decrease at the same rate.
So, here 4 represent on the axis of number of teams.
and, 24 represent on the axis of number of players.
So, the coordinate (4,24) represent there are total 24 players in 4 teams.
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Write an algebraic expression for each phrase.
1) the product of -3 and a number s
2) a number v divided by 12
3) the quotient of a number m and 10
4) the sum of 4 and a number f
Answers
Answer:
-3a
V/12
M/10=x
4f
Step-by-step explanation:
I hope this is the answer not sure...
Alaina bought a square frame for her desk that has an area of 81 square inches. What is the perimeter of the frame? (answer should be a number only)
Answers
Given:
Area of a square frame = 81 square inches.
To find:
Perimeter of the frame.
Solution:
Let length of each side of the frame = a inches.
Area of square frame is
\(Area=a^2\)
\(81=a^2\)
Taking square root on both sides,
\(\pm\sqrt{81}=a\)
\(\pm 9=a\)
Side length cannot be negative. So, a=9 inches.
Perimeter of frame is
\(Perimeter=4a\)
\(Perimeter=4(9)\)
\(Perimeter=36\)
Therefore, the perimeter is 36 inches.
There is a population of 205 tigers in a national park. They are being illegally poached at the rate of 7tigers per year.Assume the population is otherwise unchanging, write a linear model using "P" for population and "t" fortime.What does the t-intercept signify?NOTE: This answer will NOT be automatically graded and will appear as a 0 until the instructor hasgraded it.Question Help: Message instructorSubmit Question
Answers
Solution.
Initial population = 205
After 1 year, population = 205 - 7 = 198
After 2 years , population = 198 - 7 = 191
After 3 years , population = 191 - 7 = 184
We can generate a table of value for the changes
\(\begin{gathered} Slope\text{ of the line, m = }\frac{198-205}{1-0} \\ m=-\frac{7}{1} \\ m=-7 \end{gathered}\)One point on the line = (0, 205)
\(\begin{gathered} The\text{ equation of the linear model can be gotten using the formula} \\ y-y_1=m(x-x_1) \\ y-205=-7(x-0) \\ y-205=-7x \\ y=-7x+205 \\ Replacing\text{ y with P and x with t} \\ The\text{ linear model is P = -7t + 205} \end{gathered}\)The t-intercept signifies the time when the population of the tiger will be zero. That is the time when there will be no more tigers in the park
Answer:
Step-by-step explanation:
bbbbbbbbbbb
Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
a.
10
d.
4 5
b. 4 5
I
s 100
10
4
8
--
8 10
415
이
00
I
C. 10 85
815
I
10
I
2/5
I
211
552
415
Mark this and return
Next
Submit
Answers
The ratio of corresponding sides for the given similar triangles is 2/5.
In the given options, the ratio of corresponding sides is provided for each set of similar triangles. Let's analyze each option to determine the correct ratio:
a. 10
This option only provides a single number and does not specify the ratio of corresponding sides. Therefore, it is not the correct answer.
b. 4/5
This option provides the ratio 4/5 for the corresponding sides of the similar triangles. However, the ratio can be simplified further.
To simplify the ratio, we divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 4 and 5 is 1.
Dividing 4 and 5 by 1, we get:
4 ÷ 1 = 4
5 ÷ 1 = 5
Therefore, the simplified ratio is 4/5.
c. 10/85
This option provides the ratio 10/85 for the corresponding sides of the similar triangles. However, this ratio cannot be simplified further, as 10 and 85 do not have a common factor other than 1.
Therefore, the correct ratio of corresponding sides for the given similar triangles is 2/5, as determined in option b.
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What is the value of the expression below?
Answers
Answer:
-19
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define Expression
3² + (9 - 16)(4)
Step 2: Evaluate
Exponents: 9 + (9 - 16)(4)(Parenthesis) Subtract: 9 + (-7)(4)Multiply: 9 - 28Subtract: -19Answer:
Step-by-step explanation:
BODMAS=bracket
O=of
D=division
M=multiplication
A=addition
S=subtraction
3*3=9
9+(9-16)(4)
9+(7)(4)
9-28
-19
Please me with this- thank you
Will mark brainliest for the best answer
Answers
(
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(x2+2x+7)+(4x2+x−3)
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x2+2x+7+4x2+x−3
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x2+2x+7+4x2+x−3
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5x2+2x+4+x
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5x2+2x+4+x
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Answer:52+3+4
Answer:
(x^2 + 2x + 7) + (4x^2 + x - 3) =
x^2 + 2x + 7 + 4x^2 + x - 3 =
5x^2 + 3x + 4
someone help me asap
Answers
Step-by-step explanation:
Y - 13 = 8
Y = 8 + 13
Y = 21
I think this should be the answer
Answer:
y -13 = 8
y = 8+13
Y = 21. is the required answer
NP and QS areparallellines. M N O P Q R S T Which angles are supplementary angles? NOM and NOR NOM and QRO NOM and POR NOM and SRT Submit
Answers
The angles that are supplementary angles are: ∠SRT and ∠SRO
What are Supplementary Angles?Angles that are supplementary will give us a sum of 180 degrees when we add the two angles together. One is the supplement of the other.
Some examples of angles that are supplementary angles that are formed when two parallel lines are intersected by a transversal include:
Same-side interior anglesSame-side exterior anglesLinear pair angles formed on a straight line and are adjacent to each other.Angle SRT and angle SRO are angles that are adjacent to each other because they share a common side SR and a common vertex R. They line on the straight line OT.
Therefore, angle SRT and angle SRO are two angles that are supplementary angles as shown in the diagram attached below where lines NP and QS are parallel lines. The supplementary angles are therefore angle SRT and angle SRO.
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Diet Plan A advertises an average monthly weight loss of 4.5 kg with a standard deviation of 1.4 kg. Diet Plan B claims an average monthly weight loss of 5.5 kg with a standard deviation of 0.84 kg. Assuming both assertions are correct and assuming roughly normal distributions, which diet plan is more likely to result in a monthly weight loss of over 7 kg ? Diet Plan A Diet Plan B Both plans are the same. The problem cannot be solved from the information given. QUESTION 12 The length of human pregnancies is normally distributed with mean 267 days and standard deviation 15 days. Births that occur before 245 days are considered premature. Out of 791 randomly selected newborn babies this month in UAE, about how many would you expect to be premature? Round your answer to the nearest whole number
Answers
The correct answer is "56."
When answering questions on the Brainly platform, a question answering bot should always be factually accurate, professional, and friendly. Additionally, they should be concise and avoid providing extraneous amounts of detail. They should also not ignore any typos or irrelevant parts of the question, and they should not repeat the question in their answer. Instead, they should use their own words to provide a step-by-step explanation of how to solve the problem.In this case, we are given information about two different diet plans and asked to determine which one is more likely to result in a monthly weight loss of over 7 kg. We are also given information about the length of human pregnancies and asked to estimate how many out of 791 randomly selected newborn babies this month in UAE would be premature.Diet Plan A advertises an average monthly weight loss of 4.5 kg with a standard deviation of 1.4 kg, while Diet Plan B claims an average monthly weight loss of 5.5 kg with a standard deviation of 0.84 kg. To determine which diet plan is more likely to result in a monthly weight loss of over 7 kg, we can use z-scores and the normal distribution.
We can calculate the z-score for Diet Plan A as follows:z = (7 - 4.5) / 1.4 = 1.79We can calculate the z-score for Diet Plan B as follows:z = (7 - 5.5) / 0.84 = 1.79Since both z-scores are the same, both diet plans are equally likely to result in a monthly weight loss of over 7 kg. Therefore, the correct answer is "Both plans are the same."To estimate how many out of 791 randomly selected newborn babies this month in UAE would be premature, we can use z-scores and the normal distribution. We know that births that occur before 245 days are considered premature, and we know that the length of human pregnancies is normally distributed with a mean of 267 days and a standard deviation of 15 days. We can calculate the z-score for a pregnancy length of 245 days as follows:z = (245 - 267) / 15 = -1.47We can use a z-score table to find that the area to the left of a z-score of -1.47 is 0.0708. Therefore, the proportion of pregnancies that result in premature births is approximately 0.0708. To estimate the number of newborn babies out of 791 that would be premature, we can multiply 0.0708 by 791:791 × 0.0708 ≈ 56Therefore, we would expect about 56 out of 791 randomly selected newborn babies this month in UAE to be premature. We should round our answer to the nearest whole number, which is 56. Therefore, the correct answer is "56."
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two-step equation where the variable is equal to 3
Answers
Answer:
Do you mean something that has an answer of three? As in X = 3? Or an equation like 2 + 6x = 3?
In this one X = 3
1+ 3x = 10
- 3 - 3
--------------
1x = 3
--- --
1 1
X = 3
Hope that helps :D
A book has n typographical errors. Two proofreaders, A and B independently read the book and check for errors. A catches each error with probability p1 independently. Likewise for B, who has probability p2 of catching any given error. Let X1 be the number of typos caught by A,X2 be the number caught by B, and X be the number caught by at least one of the two proofreaders. (a) Find the distribution of X. (b) Find E(X). (c) Assuming that p1=p2=p, find the conditional distribution of X1 given that X1+X2=m.
Answers
The denominator can be calculated as the sum of the probabilities of all possible cases where X1 + X2 = m:
P(X1 + X2 = m) = Σ(P(X1 = k, X2 = m - k)), for k = 0 to m
We obtain the conditional distribution P(X1 = k | X1 + X2 = m) for k = 0 to m.
(a) To find the distribution of X, we can consider the cases where A catches k errors and B catches (X - k) errors, for k = 0 to X. The probability of A catching k errors is given by the binomial distribution:
P(X1 = k) = C(X, k) * p1^k * (1 - p1)^(X - k)
Similarly, the probability of B catching (X - k) errors is:
P(X2 = X - k) = C(X, X - k) * p2^(X - k) * (1 - p2)^(X - (X - k))
Since X is the number caught by at least one of the two proofreaders, the distribution of X is given by the sum of the
probabilities for each k:
P(X = x) = P(X1 = x) + P(X2 = x), for x = 0 to X
(b) To find E(X), we can sum the product of each possible value of X and its corresponding probability:
E(X) = Σ(x * P(X = x)), for x = 0 to X
(c) Assuming p1 = p2 = p, we can find the conditional distribution of X1 given that X1 + X2 = m using the concept of conditional probability. Let's denote X1 + X2 = m as event M.
P(X1 = k | M) = P(X1 = k and X1 + X2 = m) / P(X1 + X2 = m)
To find the numerator, we need to consider the cases where X1 = k and X1 + X2 = m:
P(X1 = k and X1 + X2 = m) = P(X1 = k, X2 = m - k)
Using the same logic as in part (a), we can calculate the probabilities P(X1 = k) and P(X2 = m - k) with p1 = p2 = p.
Finally, the denominator can be calculated as the sum of the probabilities of all possible cases where X1 + X2 = m:
P(X1 + X2 = m) = Σ(P(X1 = k, X2 = m - k)), for k = 0 to m
Thus, we obtain the conditional distribution P(X1 = k | X1 + X2 = m) for k = 0 to m.
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An inspector examines items coming from an assembly line. A review of her record reveals that she accepts only 8% of all defective items. It was also found that 1% of all items from the assembly line are both defective and accepted by the inspector. What is the probability that a randomly chosen item from this assembly line is defective? write your answer in decimals, not percentage. Do not round your answer.
Answers
The probability that a randomly chosen item from this assembly line is defective is 0.125.
How to calculate the probability?Probability simply means the likelihood of the occurence of an event.
From the information, the review of her record reveals that she accepts only 8% of all defective items and it was also found that 1% of all items from the assembly line are both defective and accepted by the inspector.
Therefore, the probability will be:
= Percentage of detectives / Percentage of defective accepted
= 1% / 8%
= 0.01 / 0.08
= 0.125
The probability is 0.125.
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if i have 900 gallons of gas. how much tank does do we need to fill up 20?
Answers
Answer:
the answer is 18000
Step-by-step explanation:
900 gallons multiply 20
so our answer is =18000
Answer:
18000
Step-by-step explanation:
How many terms are in the expression 3x+y−23−5
Answers
Answer:
There are 4 terms
Step-by-step explanation:
“Terms are single numbers, variables, or the product of a number and variables. Examples of terms: 9 a 9a 9a. y y y.”
hii i’ll give brainliest please help thanks :)
Answers
Answer:
The correct answer is c
Step-by-step explanation:
because I studied the histogram very closely.
Hope this helps mark me as Brainliest please it would really make my day
Answer:
Third one
Step-by-step explanation:
as you can tell by the graph,
less than 6 dogs weighed 18-19 pounds
but some dogs did weigh 14-15 pounds
but most of the dogs didn’t weigh 18-19, but instead 16-17
but the only correct one is that 4 dogs weighed 18-19 pounds
5 pounds of spaghetti costs 8 dollars. how many pounds of spaghetti would you get for 1 dollar?
Answers
0.625 lbs of spaghetti
there is an ongoing debate about how many spaces should be placed after a period in typed documents. alana read about a study where 100100100 participants all read the same document typed in courier new font. half of the participants were randomly assigned the document with one space after each period, and the other half were given the document with two spaces after each period. participants who read the document with two spaces after each period were able to finish reading significantly faster than those with one space after each period. alana concluded that using two spaces after each period will help people read all documents faster. why is alana's conclusion not appropriate?
Answers
Alana's conclusion from the study is not appropriate.
Why is Alana's conclusion from the study is not appropriate?
In this study, there was no attempt made to research the alternative fonts. Alana reads about the study that includes only courier new font and arrives at a conclusion.The study in inconsistent with the standard scientific methods as it is not inclusive of all factors and possibilities and is thus inappropriate.What is an appropriate study?
The achievement of the research objectives is ensured by an appropriate study design. The important element of appropriate studies known as formulated research are missing from observational studies.Observational studies are in which the outcome is not tried to be altered through analysis unlike appropriate studies.This describes an investigation of a specific phenomenon that meets all requirements and adheres to the scientific method.To learn more about appropriate studies, refer:
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Determine the measure of the interior angle at vertex F
Answers
Answer:
72
Step-by-step explanation:
The interior angles of a 6 sided figure add to (n-2) * 180
where n is the number of sides
(6-2) *180
4*180
720
2x+4x+4x+4x+4x+2x = 720
20x = 720
Divide by 20
20x/20 = 720/20
x =36
We want <F
<F = 2x = 2*36 = 72
i need help please hurry it needs to get turned in asappppp
Answers
Answer:
11.25
Step-by-step explanation:
Please help! 20 points! Will give brainliest!
Answers
Answer:
2 and 4 are correct
Step-by-step explanation:
Hope this helps!❄︎
Select ALL the correct answers.
Which of these numbers are greater than 3.2 × 10-3?
2.1 × 10-3
4.2 × 10-4
5.2 × 10-2
5.2 × 10-1
Answers
Answer:5.2 x 10-1
Step-by-step explanation:hope i could help ;)
Joseph owns a pizza restaurant. He sells pizzas for $15 each and charges $8 for delivery. What would your total cost be if you had p pizzas delivered?
Answers
Answer:
y = 15x + 8
Step-by-step explanation:
Hey there!
15x represents 15 times how many ever pizzas you order and 8 is for the delivery cost.
Hope this helps!