Solve for the unknown in the following diagram. Round the answer to two decimal places.
degrees
Answer:
x = 63.28°
Step-by-step explanation:
A = 33°
a = 175 mm
C = x
c = 287 mm
Use the Law of Sines to find x
Thus:
[tex] \frac{a}{sin(A)} = \frac{c}{sin(C)} [/tex]
Plug in the values
[tex] \frac{175}{sin(33)} = \frac{287}{sin(x)} [/tex]
Cross multiply
[tex] 175*sin(x) = 287*sin(33) [/tex]
Divide both sides by 175
[tex] sin(x) = \frac{287*sin(33)}{175} [/tex]
[tex] sin(x) = 0.893208017 [/tex]
[tex] x = sin^{-1}(0.893208017) [/tex]
x = 63.28° (2 decimal places)
The initial weight of a starving animal is Wo. Its weight after t days is given by
W = Woe-0.009
I
What percentage of its initial weight remains after 34 days?
A) 73.6%
B) 76.6%
C) 69.2%
D) 26.4%
Answer:
A) 73.6%
Step-by-step explanation:
The computation of the percentage is shown below
Given that
W = Woe^{-0.09t}
After 34 days
W = W_oe^{-0.009×34}
= 0.736W_o
Now the percentage is
= 0.736 × 100
= 73.6%
the circumference of a circle is 65n. In terms of pi, what is the area of the circle
Answer:
In order to answer this you would need to use this equation: A = πr² (See explanation)
Step-by-step explanation:
So, The circumference of the circle is 65n?
What you need to do is A = πr²
Let's divide 65n by Pi (65/3.14)
That equals 20.70n
Now we have the diameter of the circle. We need the radius for A = πr² .
We need to divide the diameter by two (20.70/2)
We now have the radius of the circle: 10.35n
Now we need to plug 10.35n in our Area equation :A = π10.35²
So now we multiply the Radius by Pi (π * 10.35)
This means that the area of our circle is: A = 32.49
Your answer Is 32.49n
As a small step to save the environment, Luna came up with an idea for her sweet shop. In exchange for five eclaire boxes, that she gets, she decided to give an eclaire box for free. A group of kids from the locality ate seventy-seven eclaire boxes that week and they collected the boxes to give to Luna and get back eclaires boxes.
How many eclaires boxes do you think they can buy from Luna using the seventy-seven claire boxes?
Answer: Kids will get 15 eclaire boxes in the exchange of 76 boxes.
Step-by-step explanation:
Exchange criteria:
1 Ecalaire box free for 5 eclaire boxes.
Total boxes collected by kids =76
Number of eclaire boxes they will get = 76 ÷5
= [tex]15\dfrac{1}{5}[/tex] or 15 (approx.)
i.e. they will get 15 eclaire boxes in the exchange of 76 boxes.
Shawn buys 15 shirts for a total of $60. Express this as an equation using 'X' as the cost of each shirt.
Answer:
15x = 60
Step-by-step explanation:
Hi,
We know he bought 15 shirts for an x amount of dollars, so 15 times however much they cost is 15x and the total is 60.
hope this helps :)
HELP PLEASE thank uuuuu
.
a²+25²=31²
31²-25²=a²
961-525=a²
a²=336
√a=√336
a=18.33
The weight distribution of a vehicle specifies that the front wheels carry 51% of the weight. If a certain vehicle weighs 3930 lb, what weight is carried by the front
wheels?
Answer: 2004.3
Step-by-step explanation: 51% of 3930 is 2004.3
(x + 3;x 23
Function: g = 6;1
x?;x51
find g(-3)
a) 0
b) 9
c) 6
d) -9
Answer:
Static Public Member Functions ... Get FWORD from string (Big Endian 16-bit signed integer). ... (62x88 mm ; 2.44x3.46 in); B9 (44x62 mm ; 1.73x2.44 in); B10 (31x44 mm ; 1.22x1.73 in) ...
Drag the tiles to the correct boxes to complete pairs. Match the unknown entries in the two matrices with their correct values.
Answer:
Step-by-step explanation:
Select the correct comparison.
Set A
Set B
.
....
24
8 10
4 6 8 12
A. The typical value and the spread are both greater in set B.
B. The typical value and the spread are both greater in set A.
C. The typical value is greater in set A. The spread is greater in set B.
D. The typical value is greater in set B. The spread is greater in set A.
Answer:i would say C ADHAKFFA
Step-by-step explanation:
On a number line, what is the distance between -8 and -2?
Answer:
6 units
Step-by-step explanation:
Distance between two points on the number lines, the difference between the absolute values.
I-8 I - I - 2I = 8 - 2 = 6
The key to finding the distance between two points is to remember that the geometric definition of subtraction is the distance between the two numbers as long as we subtract the smaller number from the larger.
Solution⇛(-8) - (-2)
⇛8 - 2
⇛6
Select the correct answer. Sarah owns a flower shop and can model the profits from selling springtime bouquets using this equation, where b is the number of springtime bouquets. P = -5b^2 + 450b - 1,000
Which statement is true if Sarah needs to make a profit of at least $9,000?
A. Sarah must sell more than 90 bouquets.
B. Sarah must sell between 40 and 50 springtime bouquets.
C. Sarah must sell between 0 and 40 springtime bouquets.
D. Sarah must sell more than 50 springtime bouquets.
Answer:
B
Step-by-step explanation:
If you plug in the answers for guess and repeat this one works.
The correct statement is Sarah must sell between 40 and 50 springtime bouquets true if Sarah needs to make a profit of at least $9,000.
Given that,
Sarah owns a flower shop and can model the profits from selling springtime bouquets using this equation,
Where b is the number of springtime bouquets, [tex]P = -5b^2 + 450b - 1,000[/tex].
We have to determine,
Which statement is true if Sarah needs to make a profit of at least $9,000.
According to the question,
Sarah owns a flower shop and can model the profits from selling springtime bouquets using this equation,
[tex]P = -5b^2 + 450b - 1,000[/tex]
Divide the equation by -5,
[tex]P = -5b^2 + 450b - 1,000\\\\P = -b^2 + 90b - 200[/tex]
Factorize the equation for the value of profit,
[tex]b^2 - 90b +200 = 0\\\\b^2 -50b -40b +200= 0\\\\b ( b-50) - 40(b-50) = 0 \\\\(b-50) (b-40) = 0 \\\\b- 50 = 0, \ b = 50\\\\b - 40 = 0, \ b = 40[/tex]
Hence, Sarah must sell between 40 and 50 springtime bouquets.
To know more about Quadratic equations click the link given below.
https://brainly.com/question/22364785
could u please help or give me the answer
Answer:
the answer is option B
Step-by-step explanation:
Find the exact value of sin A in simplest radical form.
Answer:
✓10/10
Step-by-step explanation:
sinA = 1/✓10
Rationalize the denominator by multiplying by ✓10:
sinA = 1✓10/✓10✓10
sinA = ✓10/10
Shari is adding these fractions: 1/3 + 1/4 What's her next step? 4/12 + 3/12 = 7/12 1/3 + 1/4 = 2/7 1/3 + 1/4 = 2/12 4/12 + 3/12 = 7/24 Flag Question
Answer:
4/12+3/12=7/12
Step-by-step explanation:
just took the quiz
Rackham Graduate School has 8,000 students (5,000 PhD students and 3,000 masters stu- dents). The Rackham Student Government Executive Board has 4 student members: a President, a VP of Operations, a VP of Finance, and a VP of Administration. Reminder: no need to simplify your answers in this homework (unless problem explicitly says to).
a) How many ways are there to choose the Exec Board from all Rackham students?
b) How many ways are there to choose the Exec Board so that there is at least one masters student and one PhD student? (for any of the 4 positions)
c) How many ways are there to choose the Exec Board if the VP positions have to be PhD students (the president can be either a PhD or Masters student)?
d) How many ways are there to choose the Exec Board so that there is at least one masters student VP?
Answer:
a) 8,000!/(8000 - 4)! ways
b) 15,000,000 + 7998!/(7998 - 2)! ways
c) 5,000 + 7,999!/(7,999- 3)! ways
d) 3,000 + 7,999!/(7,999- 3)! ways
Step-by-step explanation:
The number of students at Rackham Graduate School = 8,000 students
The number of PhD students = 5,000
The number of masters students = 3,000
The number of student members of the Rackham Student Government Executive Board = 4 students
a) The number of ways there are to choose the Exec Board from all Rackham students = The number of ways to choose 4 students from 8,000 = 8,000!/(8000 - 4)!
b) The number of ways of having one Master student in the board = 3,000 ways
The number of ways of having one PhD student in the board after selecting a masters student = 5,000 ways
The number of ways of selecting the remaining 2 members =
7998!/(7998 - 2)!
The total number of ways of selecting at least one masters and one PhD in the board is therefore equal to 5,000 × 3,000 + 7998!/(7998 - 2)! ways
c) The number of ways of choosing the VP position as PhD = 5,000 ways
The number of ways of choosing the other three members = 7,999!/(8000 - 3)!
Therefore, the total number of ways = 5,000 + 7,999!/(7,999- 3)! ways
d) The number of ways of choosing a masters student as the VP position = 3,000 ways
The number of ways of choosing the other three members = 7,999!/(8000 - 3)!
Therefore, the total number of ways = 3,000 + 7,999!/(7,999- 3)! ways
Many firms use on-the-job training to teach their employees computer programming. Suppose you work in the personnel department of a firm that just finished training a group of its employees to program, and you have been requested to review the performance of one of the trainees on the final test that was given to all trainees. The mean and standard deviation of the test scores are 80 and 5, respectively.
Assuming nothing is known about the distribution, what percentage of test-takers scored better than the trainee who scored 70?
a. Approximentaly 75%
b. Approximentaly all
c. At most 75%
d. At least 75%
e. None of the above
Answer:
d. At least 75%
Step-by-step explanation:
Since nothing is known about the distribution, we use the Chebyshev Theorem.
Chebyshev Theorem
The Chebyshev Theorem can also be applied to non-normal distribution. It states that:
At least 75% of the measures are within 2 standard deviations of the mean.
At least 89% of the measures are within 3 standard deviations of the mean.
An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].
In this problem, we have that:
Mean = 80, standard deviation = 5.
What percentage of test-takers scored better than the trainee who scored 70?
70 = 80 - 2*5
So 70 is two standard deviations below the mean.
Due to the Chebyshev Theorem, we know that at least 75% of the measures are within 2 standard deviations of the mean, between 70 and 90, which means that this percentage is at least 75%, and the correct answer is given by option d.
The number of swings in use on average is.
Answer:
?
Step-by-step explanation:
What is 100*10+1000*33/100
Answer:
Your answer will be 1,330 I hope this helps
Answer:
my answer is (100+3300=3400
scribe two different methods to find the elapsed time from 2:30 p.m. to 2:58 p.m.
Answer:
28 minutes
Step-by-step explanation:
First Method
You can do normal subtract
[tex]2.58 \\ 2.30 \\ 0.28[/tex]
2:58 - 2:30 which is equivalent to 0.28 which means 28 minutes.
Second Method.
2:58
58minutes to hour = 58/60
2:30
30minutes to hour = 30/60
58/60 - 30/60
28/60 hour
0.4667 hour or 28 minutes.
Jeff and George each have a box of popcorn. How much more popcorn does the bigger box hold than the smaller box?
Answer:
there in not enough information in your question to get an answer
Answer:
Part 1: Jeff Part 2: 130
Step-by-step explanation:
ayuda pliz es para hoy
Answer:
2/3
Step-by-step explanation:
You are given the difference of the numbers of boys and girls in a class and the ratio of boys to girls. How many boys and how many girls are in the class?
3 more boys; 5 for every 4
By using the given ratio, we will see that there are 15 boys and 12 girls.
How we can find the number of boys and girls in the class?
The given information is:
There are 3 more boys.There are 5 boys for every 4 girls.Now, notice that in the ratio we have a difference of 1 boy, so if we want to have a difference of 3 boys, we must multiplicate it by 3, then we get:
3*15 boys for every 3*4 girls (remember that you can multiply both quantities on the ratio and it does not change).
15 boys for every 12 girls.
Now the difference is 3.
15 - 12 = 3
So we can conclude that there are 15 boys and 12 girls.
If you want to learn more about ratios, you can read:
https://brainly.com/question/1781657
PLEASE HELP ME ILL MARK BRAINLIEST
In terms of t, what is the volume of the sphere?
A)
360 cubic feet
B)
180071 cubic feet
27000 cubic feet
D)
36000 cubic feet
Answer:
The answer is not listed but here it is 113040
Step-by-step explanation:
who's has the most money in the world
Answer:
Jeff Bezos
Step-by-step explanation:
He is the amazon founder and CEO, He has a net worth of 193.4 billion and ranks the first richest person on earth today
On a recent test, Ahmed knew many of the answers, but there were four questions he was unsure of. In each of the four questions, he was able to eliminate two answers as being clearly wrong and was left with three answer choices to choose from. In each of the four questions, he randomly selected one of the remaining three answers. Which of these statements describes how Ahmed could simulate this situation with a random number generator to determine if he will select the correct answers for these four questions?
It is impossible to simulate this with a random number generator without knowing what the correct answer choices were Using his calculator, Ahmed could use the Randint(1,4) command three times to select three integers from 1 to 4. Let a 1 indicate a correct guess, and a 2, 3, or 4 indicate an incorrect guess. Count the number of 1s to correspond to the number of correct guesses. Using his calculator, Ahmed could use the Randint(1,4) command to select a random integer from 1 to 4. This would be the number of correct guesses he made on the four questions. Using his calculator, Ahmed could use the Randint(1,3) command four times to select four integers from 1 to 3. Leta 1 indicate a correct guess, and a 2 or 3 indicate an incorrect guess. Count the number of 1s to correspond to the number of correct guesses. It is impossible to simulate this with a random number generator without knowing what the correct answer choices were. Using his calculator, Ahmed could use the Randint(1,4) command three times to select three integers from 1 to 4. Let a 1 indicate a correct guess, and a 2, 3, or 4 indicate an incorrect guess. Count the number of 1s to correspond to the number of correct guesses. Using his calculator, Ahmed could use the Randint(1,4) command to select a random integer from 1 to 4. This would be the number of correct guesses he made on the four questions. Using his calculator, Ahmed could use the Randint(1,3) command four times to select four integers from 1 to 3. Let a 1 indicate a correct guess, and a 2 or 3 indicate an incorrect guess. Count the number of 1s to correspond to the number of correct guesses. Using his calculator, Ahmed could use the Randint(1,5) command four times to select four integers from 1 to 5. Leta 1 indicate a correct guess, and a 2, 3, 4, or 5 indicate an incorrect guess. Count the number of 1s to correspond to the number of correct guesses.
Answer:
It is impossible to simulate this with a random number generator without knowing what the correct answer choices were
Step-by-step explanation:
Given
[tex]Questions = 4[/tex]
[tex]Options = 5[/tex]
Required
How can he select the right answer
Using randint will only generate a random number which could or could not be the answer to the question.
This is so because each of the 5 options for the question has the same probability of 1/5. So, using randint will only generate a random number. This generated random number has 1/5 chance of being the answer and 4/5 of not being the answer to the question.
In a nutshell, he can not make use of a simulator to select the answer to the questions in this scenario, unless he knows the solution.
Hence (a) answers the question.
25 points True or False.
The expressions 4(y−3)
and 4y−12
are equivalent?
Answer: true
Step-by-step explanation:
Simplifying the expression you end up with 4y^2 + 4y - 15 which is 3 terms.
The answer would be True.
1) f(x) = 3*
f(x)
x
-1
0
1
2 3
1)f(×)=3*=f(×)=×-1 0 1=0.23
SOMEONE PLS GIVE ME A LIKE REALLY BELIEVABLE EXCUSE FOR WHY I DIDNT TURN IN MY WORK BUT NOT ABOUT INTERNET ISSUES OR DEATH PLSSS
Answer:
HERE YOU GO
Step-by-step explanation:
Miss my dog has ate my homework and I couldn't submit it.
Answer:
Sorry I didnt turn in my work. The reason of why that happened was because i was busy most of the time going places and other things like helping my parents out with grocerys. Also, a lot is happening in my life right now and it is very hard to explain and i dont really know how to explain it either. I am really sorry i didnt turn it in. Ill try better next time.
Love, person who needs a excuse.
Step-by-step explanation:
Find the zero of the function:
y= x^2 - 4x - 3
Answer:
2 or positive
Step-by-step explanation:
2 x-intercepts