The values of x and y in the right triangle are 24.3 and 12.14 respectively.
We have to find the values of x and y in the right triangle
We know that the sine is a ratio of opposite side and hypotenuse
Sin 60 = 21/x
√3/2 = 21/x
√3x = 42
x=42/√3 = 42/1.73
x=24.3
Now let us find value of y
the cosine is a ratio of adjacent side and hypotenuse
cos 60 = y/x
1/2 = y/(42/√3)
42/√3 = 2y
21/√3 = y
12.14 = y
Hence, the values of x and y in the right triangle are 24.3 and 12.14 respectively.
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Will someone please help me with this, I really need help asap please and thank you!!
Answer: i dont know
Step-by-step explanation:
i dont kow
10. The distance of the point (a, b) from the origin is twice its
distance from the point (-1, -2). Find the relation between a
and b.
Answer:
b = 2a
Step-by-step explanation:
A. Antonia has a green rope and a blue rope. Her green rope is 4 feet in length. She cut the green rope into 2 pieces. One of the pieces is 21 inches in length.
How many inches long is the other piece of the green rope? Use words and numbers to explain your reasoning.
B. Antonia's blue rope measures 2 yards. She wants to cut the rope into MORE than 3 pieces so all the pieces of rope are equal in length with no rope left over.
What is ONE possible way that Antonia can cut the rope so that each piece of rope is less than 24 inches in length? Use words and numbers to explain your reasoning.
Type your answer in the box below. Make sure to label each part with A and B.
Answer:
The other part is 27 in. long
Step-by-step explanation:
1 ft is 12 in
2 ft are 24 in
4 ft are 48 in
48 in - 21 in = 27 in
Answer:
Part A
Green rope = 4 ft
As 1 ft = 12 in
Then 4 ft = 4 × 12 in = 48 in
Antonia cuts the green rope into 2 pieces. One of the pieces is 21 in long. To find the length of the unknown piece, subtract the length of the known piece from the total length:
length of unknown piece = 48 - 21
= 27 in
Part B
Blue rope = 2 yd
1 yd = 36 in
Therefore, 2 yd = 2 × 36 = 72 in
Antonia wants to cut the rope into MORE than 3 pieces, and all the pieces need to be of equal length. As the length of the rope is an even number of inches, Antonia could first cut the rope in half, so she would have 2 pieces each of 36 in in length. Then she could cut both of those lengths in half, so she would have 4 pieces each of 18 in in length.
Plot the image of the triangle ABCD under a reflection across the Y-axis
Answer:
Please provide an image or points to plot
Students at a particular university are able to evaluate professors on a five point scale (a score of 1 meaning poor teaching and a score of 5 meaning excellent teaching, with answers limited to a whole number). What type of random variable is professor evaluation an example of
Professor evaluation in this case is an example of a discrete random variable. A discrete random variable takes on a countable number of distinct values.
In this case, the scores 1, 2, 3, 4, and 5. The variable represents the outcome of a specific event (the evaluation of a professor) and can only assume these specific values. Each score has a certain probability associated with it, reflecting the likelihood of that score being given by the students.
As it is a discrete random variable, there is no intermediate value between the possible scores, and the probability distribution can be represented by a probability mass function.
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how to find the turning point of a polynomial function?
the turning point(s) of a polynomial function by using below steps
To find the turning point of a polynomial function, follow these steps:
1. Determine the degree of the polynomial. The turning point will occur in a polynomial of odd degree (1, 3, 5, etc.) or at most one turning point in a polynomial of even degree (2, 4, 6, etc.).
2. Write the polynomial function in the form f(x) = axⁿ + bxⁿ⁻¹ + ... + cx + d, where n represents the degree of the polynomial and a, b, c, d, etc., are coefficients.
3. Find the derivative of the polynomial function, f'(x), by differentiating each term of the function with respect to x. This will give you a new function that represents the slope of the original polynomial function at any given point.
4. Set f'(x) equal to zero and solve for x to find the x-coordinate(s) of the turning point(s). These are the values where the slope of the polynomial function is zero, indicating a potential turning point.
5. Substitute the x-coordinate(s) obtained in step 4 into the original polynomial function, f(x), to find the corresponding y-coordinate(s) of the turning point(s).
6. The turning point(s) of the polynomial function is given by the coordinates (x, y), where x is the x-coordinate(s) found in step 4 and y is the y-coordinate(s) found in step 5.
By following these steps, you can find the turning point(s) of a polynomial function.
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The blood test for determining coagulation activity defects is called the Prothrombin Time (PT) test.
The blood test for determining coagulation activity defects is called the Prothrombin Time (PT) test. This test measures the time it takes for blood to clot and is used to assess the functioning of the clotting factors in the blood. It is commonly used to evaluate the extrinsic pathway of the coagulation cascade, which involves factors outside of the blood vessels.
The PT test is an important diagnostic tool in hematology and is used to diagnose or monitor conditions that affect blood clotting, such as bleeding disorders or the effectiveness of anticoagulant medications. By measuring the PT, healthcare professionals can determine if there are any abnormalities in the coagulation process and make appropriate treatment decisions.
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Zeth has $32.12 in his change
jar on Monday after he went
out to eat on Sunday
afternoon. If on Sunday he
had $40.55, how much did
Zeth spend?
What percentage would the wand need to have exactly a 50% chance of winning
the wizard standoff?
Answer:
What percentage would the wand need to have exactly a 50% chance of winning the wizard standoff?
a;50
-x - y when x = -12 and y =2
Answer:
10
Step-by-step explanation:
Negative times a negative is a positive.
so 12-2=10
Answer:
-14
Step-by-step explanation:
I took this test
The histogram shows the number of items that customers bought during a trip to the grocery story 1 day. 400 customers took a trip to the grocery store that day. Which is the best estimate for the number who bought at least 50 items during their trip
The number of people who bought fewer than 30 items exists 204.
What is meant by histogram?The frequency distribution of a few data points for one variable is represented graphically by a histogram. Heterogeneous "bins" or "range groups" are frequently used in histograms in order to categorize data and count the number of data points that are part of each bin.
Among graphing tools, the histogram is widely used. It is utilized to encapsulate discrete or continuous data that is measured on an interval scale. It is frequently employed as a convenient way to highlight the key characteristics of the data distribution.
As opposed to bar charts, which show categorical variables, histograms visualize quantitative or numerical data. Typically, a histogram's numerical data will be continuous (having infinite values).
Number of people who bought fewer than 30 items
= (0.14 + 0.12 + 0.24)400
= 0.51 x 400 = 204
Therefore, the correct answer is option B) 204.
The complete question is:
The histogram shows the number of items that customers bought during a trip to the grocery store one day. Four hundred customers took a trip to the grocery store that day. Which is the best estimate for the number who bought fewer than 30 items during their trip?
A) 278
B) 204
C) 148
D) 106
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Question 7 (1 point)
Which point is a solution to the following inequality?
Answer:
option b (4,-4)
Step-by-step explanation:
this is because this is a less than or greater than inequality and there is no equal so we can’t have anything touching the line and that eliminates d. But all the others are outside the shaded blue so, option b is the only one in there
PLEASE HELP FAST I NEED A EXPERT OR HIGHER 20 POINTS! I need the domain and range of each Graph 2 number so for example 5/1 or something THANKS!!
Problem 1
Answers:
Domain: \(-3 \le x < 5\)
Range: \(-4 < y \le 3\)
--------------------
Explanation:
The domain is the set of allowed x inputs of a function. The smallest x value we can use is x = -3 (note the very left-most point of the graph). The right-most point involves x = 5, but we can't actually use this x value due to the open hole. So that's why we don't have "or equal to" attached to the 5.
The range is the set of possible y outputs. The lowest we can go is y = -4, but we don't include this as part of the range. The largest y can get is y = 3. So the range is \(-4 < y \le 3\)
===========================================
Problem 2
Answers:
Domain: \(-2 < x < 4\)
Range: \(-2 < y < 5\)
--------------------
Explanation:
We use the same idea as in problem 1. Both endpoints are open holes, so we don't include them as part of the domain and range. For instance, we can't include x = 4 but we can get closer and closer to it. The same idea applies to the range as well.
===========================================
Problem 3
Answers:
Domain: \(1 \le x \le 4\)
Range: \(-4 \le y \le -1\)
--------------------
Explanation:
The same idea applies as used earlier. This time we include both endpoints, so we have "or equal to" as part of each inequality sign.
PLS ITS DUE IN 20 MINUTES
Estela and Luiza are going to share 35 dolls, either in the ratio of their ages, or in the ratio of dolls they have
Estela is 9 years old and has 24 dolls already.
Luiza is 12 years old and has 36 dolls already.
Which ratio would be better for Estela?
In the class of 2019, more than 1.6 million students took the SAT. The distribution of scores on the math section (out of 800) is
approximately normal with a mean of 528 and standard deviation of 117. The University of Michigan has a recommended SAT
math score of at least 730.
What percent of students who took the SAT math test meet this requirement?
Round your answer to 4 decimal places and then convert to a percentage.
Using the normal distribution, it is found that 4.18% of the students who took the SAT math test meet this requirement.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable that has mean given by \(\mu\) and standard deviation represented by \(\sigma\) is by the following equation:
\(Z = \frac{X - \mu}{\sigma}\)
It measures how many standard deviations the measure is above(in case the score is positive) or below(in case the score is negative) the mean. From the z-score table, the p-value associated with the z-score is found, which represents the percentile of the measure X.The mean and the standard deviation for the distribution of SAT scores is given as follows:
\(\mu = 528, \sigma = 117\)
The proportion above 730 is given by one subtracted by the p-value of Z when X = 730, hence:
\(Z = \frac{X - \mu}{\sigma}\)
Z = (730 - 528)/117
Z = 1.73
Z = 1.73 has a p-value of 0.9582.
1 - 0.9582 = 0.0418.
Hence 4.18% of the students who took the SAT math test meet this requirement.
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Each day, ted can wax 4 cars or wash 12 cars, and ishana can wax 3 cars or wash 6 cars. what is each person's opportunity cost of washing a car?
The opportunity cost of washing a car for Ted is 4 cars, and the opportunity cost of washing a car for Ishana is 3 cars.
To determine each person's opportunity cost of washing a car, we need to compare the alternative activity they would have to give up in order to wash a car.
For Ted:
Ted can wax 4 cars or wash 12 cars. So, the opportunity cost of washing a car for Ted is the number of cars he could have waxed instead. In this case, Ted would have to give up waxing 4 cars to wash a car.
For Ishana:
Ishana can wax 3 cars or wash 6 cars. So, the opportunity cost of washing a car for Ishana is the number of cars she could have waxed instead. In this case, Ishana would have to give up waxing 3 cars to wash a car.
Therefore, the opportunity cost of washing a car for Ted is 4 cars, and the opportunity cost of washing a car for Ishana is 3 cars.
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please help pleaseee
Answer:
4 Thank you cards
Step-by-step explanation:
lmk if you need the work on how i got it :)
The triangle below has a perimeter of 51. Solve for x.
Answer:
x = 6
Step-by-step explanation:
The perimeter is the sum of the 3 sides of the triangle. Sum the 3 sides and equate to 51, that is
15 + 5x - 6 + 2x = 51
7x + 9 = 51 ( subtract 9 from both sides )
7x = 42 ( divide both sides by 7 )
x = 6
a=4-2/3x^2
But make x the subject, I need the equation and answer
Step-by-step explanation:
just trying....hope that helps
9. Marlee is making jewelry for a class craft
show. She began with 115 inches of wire.
She used 25.75 inches for rings. Then her
teacher gave her 30 1/4 inches of wire to
make more jewelry. She then used 38 1/2
inches for the bracelets and 60.2 inches for
necklaces. How much wire does Marlee
have left?
The wire that Marlee had left is 20.8 inches.
How to calculate the fraction?From the information given, it was stated that Marlee is making jewelry for a class craft show and that she began with 115 inches of wire.
Amount used for rings = 25.75 inches..
Amount given to her by the teacher = 30 1/4 inches.
Amount used for bracelets = 38 1/2
inches.
Amount used for necklace = 60.2 inches
It should be noted to know the wire left, we have to subtract the values that were used and then add the value that her teacher gave her from the original value. This will be calculated thus:
This will be:
= 115 - 25.75 + 30.25 - 38.5 - 60.2
= 20.8 inches
Therefore, in conclusion, the wire that Marlee had will be 20.8 inches left.
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Kari is mowing her lawn, which is represented by the shaded region below. What is the area, in square yards, of the region she mows?
Answer:
56 square yards
Step-by-step explanation:
6 x 3 = 18
6 x 3 = 18
2 x 10 = 20
Dan's has a current credit card statement of $785. his credit card apr is 24.42%. what would be his finance charge if he does not pay the balance in full?
A loan fee is an amount a consumer pays for a loan. This includes taking out a car loan, credit card, or mortgage. Common loan fees include interest rates, origination fees, service fees, late fees, etc. Gross Loan Fees are typically associated with your credit card and consist of any outstanding balance plus any other fees incurred if you carry overdue amounts to your credit card.
If you know three numbers related to your credit card account: credit card (or loan) balance, APR, and billing cycle length, you can calculate your loan fees.
Current Balanced Owned =$785
APR = 24.42%
Let’s suppose the billing cycle is 30 days, then
Finance charge = $15.76
The new balance you owe = $800.76.
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Determine whether the stated conclusion is valid based on the given information. If not, write invalid. Explain your reasoning.Given: If Elan stays up late, he will be tired the next day. Elan is tired.
Conclusion: Elan stayed up late.
Based on the explanation below, the conclusion that Elan is tired because Elan stayed up late is invalid.
How do we use reasoning to determine a conclusion?In the question, it is stated that if Elan stays up late, he will be tired the next day.
However, staying up late is not the only thing that could make Elan get tired.
This implies that there are so many other things than can make Elan get tired such as working for long hours.
It is possible that Elan was tired because Elans worked long hours.
By implication, the conclusion is invalid.
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Here is a graph of the equation 2y - x = 1.Check if each of these points is a solution to the inequality 2y - x > 1:(0, 2) (8, 1/2) (-6, 3) (-7, -3)
(0, 2): solution
(8, 1/2): not a solution
(-6, 3): solution
(-7, -3): not a solution
Explanation:To deterien the points that are solution to the inequality 2y - x > 1, we can plot the points on the graph or we check each of the points using the inequality. If statement is correct, then it is a solution.
The given points: (0, 2), (8, 1/2), (-6, 3), (-7, -3)
Inequality: 2y - x > 1
when x = 0, y = 2
2(2) - 0 > 1
4 - 0 > 1
4 > 1 (statement is correct)
Hence, it is a solution
when x = 8, y = 1/2
2(1/2) - 8 > 1
1 - 8 > 1
-7 > 1 (statement isnot correct)
Hence, it isnot a solution
when x = -6, y = 3
2(3) - (-6) > 1
6 + 6 > 1
12 > 1 (statement is correct)
Hence, it is a solution
when x = -7, y = -3
2(-3) - (-7) > 1
-6 + 7 > 1
1 > 1 (statement is not correct)
Hence, it isnot a solution
In tossing a coin six times, is the sequence hthhtt more likely than the sequence hhhhhh?
In order to solve a quadratic equation by completing the square, what does the coefficient of the squared term need to be? If the coefficient is not equal to this, what does your first step need to be to complete the sqaure?
Answer:
For completing the square, you need the coefficient of the x^2 term to be 1.
http://www.1728.org/quadr2.htm
Step-by-step explanation:
Which of the following is equal to the expression below?
25 + 7
36
11 + 28 + 4
6 x 9 - 11+28 4
32
50
54
11 +7
6 x 32 + 7 + 28 ÷ 4
6 x 32 (2+ 9) + 28 ÷ 4
Help
The given expression is equal to the option 54 - 11 + 7.
What is an expression?
An expression, often known as a linear equation, is a finite collection of symbols that are well-formed in accordance with context-dependent principles. Variables (tuples), parameters, events, procedures, brackets, parentheses, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's sequence of operations and other features. Expressions are syntactic devices. It must be properly constituted, which means that the permissible operators must have the right amount of inputs in the right places, legal characters for these inputs, a clearly defined order the functions, etc. The grammatical guidelines must be obeyed for a string of symbols to be considered a valid arithmetic expression.
The given expression is as follows
6 × 3² - (2 + 9) + 28 ÷ 4
= 6 × 9 - 11 + 7
= 54 - 11 + 7
Hence the given option 54 - 11 + 7 is equal to the given expression.
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Halley saves up twenty-pence coins. At the last count she had saved £64.80.
How many 20p coins does she have altogether?
How many more coins does Halley need in order to have saved £100?
(a)
(b)
She saved 324 number of 20p coins altogether.
And, Halley need 176 more 20p coins to saved £100.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Halley saves up twenty-pence coins.
And, At the last count she had saved £64.80.
Now,
We know that;
Number of 20p coins in £1 = 5
So, Number of 20p coins in £64.80 = 5 × 64.80
= 324
And, Number of 20p coins in £100 = 5 × 100
= 500
So, He need number of 20p coins = 500 - 324
= 176
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express y in terms of x
1/6x + 3/4y = 4
Answer:
y = 16/3 - 2/9x
Step-by-step explanation:
1/6x + 3/4y = 4
we want to get y alone so we subtract 1/6x on both sides
3/4y = 4-1/6x
then divide 3/4 on both sides to isolate y
y = (4 - 1/6x) / 3/4
simplify
y = 16/3 - 2/9x
-2x + y = -4
Need help asap
Answer:
y = 2x - 4
Step-by-step explanation:
Can I ask which variable you are solving?
PS I will assume you need the formula y=mx+b
-2x + y = - 4
Here you would translate the m and x variables to the right side making them positive.
y = 2x - 4
Now the formula is in proper form
Hey :)
If you are solving for x, the answer is: x = y/2 + 2
-2x + y = -4
Subtract y from both sides
−2x = −4 − y
The equation is in standard form:
−2x = − y −4
Divide both sides by −2:
-2x/-2 = -y - 4/-2
Dividing by −2 undoes the multiplication by −2
x = -y -4/-2
Divide −4 −y by −2
x = y/2 + 2
However, if you are solving for y, the answer is: y = −4 + 2x
−2x + y = −4
Add 2x to both sides:
y = −4 + 2x
Hope this helps!
In a public opinion poll, 624 people from a sample of 1,200 indicated they would vote for a specific candidate. How many votes can the candidate expect to receive from a population of 40,000?
Answer:20800.
624/1200=.52 40000x.52 =20800