Answers
9514 1404 393
Answer:
38.2°
Step-by-step explanation:
The law of sines tells you ...
sin(x)/15 = sin(27°)/11
sin(x) = (15/11)sin(27°) . . . . . multiply by 15
x = arcsin((15/11)sin(27°)) ≈ arcsin(0.619078) ≈ 38.2488°
x ≈ 38.2°
_____
Additional comment
In "law of sines" problems, you need to identify a side and opposite angle that you know both values of. Then, you need to identify whether you're looking for an angle or a side, and whether its opposite side or angle is known. If two angles are known, you can always figure the third from the sum of angles in a triangle.
Here, we have angle 27° opposite side 11. We are looking for an angle, and we know its opposite side. This lets us use the ratio formula directly. Since the angle is the unknown, it is useful to write the equation with sines on top and sides on the bottom.
The given angle is opposite the shorter of the given sides, so this triangle has two solutions. We assume that we want the solution that is an acute angle (141.8° is the other solution). That assumption is based on the drawing. Usually, you're cautioned not to take the drawings at face value.
Related Questions
a radio station had 234 tickets to a concert. They gave away 5 times as many tickets to listeners as to employees. how many tickets did they give away to employees
Answers
Answer:
39 tickets were given to the employees
Step-by-step explanation:
1. Approach
First, list the given information, then form an equation based on the given information. Finally, solve the equation with simplification and inverse operations.
2.Given
A total of 234 tickets were given away
5 times as many tickets were given away to listeners compared to employees
-Call the number of tickets given away to employees (x)
3. Form an equation
(Tickets_given_to_employees) + (Tickets_given_to_listeners) = (Total_tickets)
Substitute,
x + 5x = 234
Simplify,
6x + 234
Inverse operations,
6x = 234
/6 /6
x = 39
I need help with percentages please.several stores in the mall are having a sale on jeans that cost $50 before any discount the table shows the discounts being offered
Answers
A . it is increasing and linear
B. it is decreasing and linear
C. it is increasing and non linear
D. It is decreasing and non linear
Answers
Answer:
The answer is B.
Step-by-step explanation:
From the interval -6 < x < 0, the line is straight which is linear equation. The line shows its going down so it will be decreasing gradient.
I NEED HELP RIGHT NOWWW
Answers
Answer:
No
Step-by-step explanation:
no because 8*3 is not equal to 18
if my answer helps please mark as brainliest.
ASAP PLS HELP WILL MARK BRAINLIEST!!
Answers
Answer:
The lines intersect at (-2,2).
Step-by-step explanation:
The line has an y intercept of 1 and a slope of -1/2 so after graphing the both of them thats where they intersect.
V2 - 15 = -2v Solve the Quadratic. What are the 2 solutions?
Answers
Answer:
v=-5 and v=3
Step-by-step explanation:
We are given that
[tex]v^2-15=-2v[/tex]
We have to find two solutions of quadratic equation.
[tex]v^2+2v-15=0[/tex]
Using addition property of equality
[tex]v^2+5v-3v-15=0[/tex] (By using factorization method)
[tex]v(v+5)-3(v+5)=0[/tex]
[tex](v+5)(v-3)=0[/tex]
Substitute each factor equal to 0
[tex]v+5=0[/tex] and [tex]v-3=0[/tex]
[tex]v=-5[/tex] and [tex]v=3[/tex]
Hence, two solutions of quadratic equation are
v=-5 and v=3
If the circumference of the circle above is 25.12 units, what is the area? (Use 3.14 for T.)
Answers
Answer:
50.24 units2
Step-by-step explanation:
HELP ME QUICK! ASAP! A stock clerk is arranging a case of 24 bottles of shampoo on a shelf. Each bottle contains 375 milliliters of shampoo. How many liters of shampoo do all bottles contain? Show your work.
PLEASE SHOW UR WORK LIKE HOW U GOT IT
Answers
What is the correct distance between A(-8,-4) and point B(3,-4)?
Answers
Answer: 5.099
Step-by-step explanation:
Hope this helps
solve for the quotient 2,138 divided by 3
Answers
Answer:
0712....,.......................
Write an equation of the parabola in intercept form
Answers
(3,2,25)
y a(x)(x-4)
2. 25 = a (3)(3 - 4)
2.25 a(3)(-1)
a= 2.25/ -3
a= -0.75
So
The answer is y= -0.75(x)(x-4
i need help
pls and thank you
Answers
What is the y intercept of the line?
4
-1
3
-2
Answers
Answer:-2 because the y intercept is when the x axis is zero
Step-by-step explanation:
How many unique triangles can be drawn side lengths of 5 inches and 6 inches, with an angle of 45 degrees bewteen the given sides?
Answers
Answer:
1
Step-by-step explanation:
SAS is one of the methods to define congruent triangles. When two sides and the angle between these two sides are specified, the triangle has been defined certainly.
Answer:
1
Step-by-step explanation:
becasue
Can someone please Help meeeee !!!!!
Answers
Answer:
4
Step-by-step explanation:
x must equal 2 and 2 to the power of 2 is 4
Answer:
4
Step-by-step explanation:
Original equation: 3x-1=5
Add 1 on both sides: 3x=6
Divide by 3 on both sides: x=2
If x=2, then x^2 = 4.
Let me know if this helps!
A standard amount for a tip in a restaurant is 35% of the meal cost. True or false
Answers
Answer: False
Step-by-step explanation:
it’s usually 20%
Answer:
False
Step-by-step explanation:
1. Normally it is 20%.
2. Move yous decimal one place to the left
3. Round this number to the next easy coin amount
4. Double that number
That is roughly 20%
BONUS QUESTIONS 1. The number of books featured at the local library is shown below: MYSTERY BOOKS: 32 NOVELS: 16 NON-FICTION BOOKS: 12 The library is hosting a book fair that features the mystery books. All the authors discuss the same number of mystery books and each will discuss more than 1 book. How many authors could be featured in the show?
Answers
Answer:
I don't get the question
Step-by-step explanation:
0.06 divided by 0.6 what is it
Answers
Answer:
0.1
Step-by-step explanation:
Answer:
0.1
Step-by-step explanation:
0.06 divided by 0.60 = 0.1
Dean is comparing prices on ground beef. Store A is selling 5 pounds of ground beef for $23.49. Store B is selling 8 pounds of ground beef for $36.96. Which store is offering the better deal on ground beef? Show work
Answers
Answer:
Store B
Step-by-step explanation:
First you need to set up an equation for each store
Store A (you have 5 pounds of something sold at $x per pound. which together totals $23.49)
[tex]5x=$23.49[/tex]
Store B (you have 8 pounds of something sold at $x per pound. which together totals $36.96)
[tex]8x=36.96[/tex]
Then you want to isolate the x for each equation to find the price per pound. You do this by diving each total cost, by how many pounds that you get.
Store A: $23.49/5 pounds= $4.698
Store B: $36.96/ 8 pounds = $4.62
This gives you a price per pound, so B is the correct answer because B is $0.07 cheaper per pound, giving you the better deal.
On a platter of chicken wings they are mild wings and hot wings in a representative sample of 10 chicken wings there are 5 mild wings if the platter has 90 chicken wings estimate the number of mild wings on the platter
Answers
Answer:
30 mild wings
Step-by-step explanation:
find the slope of the line. (1,1) ,( 3,5)
Answers
Answer:
m=2
Step-by-step explanation:
5-1/3-1
4/3-1
4/2
2
I hope this helps
g An orange juice producer buys oranges from a large orange grove that has one variety of orange. The amount of juice squeezed from these oranges is approximately normally distributed, with a mean of 4.70 ounces and a standard deviation of 0.40 ounce. Suppose that you select a sample of 25 oranges. a. What is the probability that the sample mean amount of juice will be at least 4.60 ounces
Answers
Answer: An orange juice producer buys oranges from a large orange grove that has one variety of orange. The amount of juice squeezed from these oranges is approximately normally distributed, with a mean of 4.70 ounces and a standard deviation of 0.40 4. ounce. hope i helped
Step-by-step explanation:
All the teachers at a school are either left footed or right footed.
At the school
the number of left footed teachers:the number of right footed teachers = 3:13
At the school, there are 18 left footed teachers.
How many right footed teachers are there?
Answers
Answer:
78
Step-by-step explanation:
Ratio of left-footed teachers to right-footed teachers = 3:13
18 left-footed teachers; 3x6 = 18 (3:13 is a simplified ratio and to get 18, you have to multiply 3 by 6)
13x6 = 78 (whatever you do to one side, you have to do the other)
78 right-footed teachers
The are 78 teachers are right footed.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
The ratio of the number of left footed teachers: the number of right footed teachers = 3:13
Total left footed teachers = 18
let the Common ratio be x.
Then , number of left footed teachers= 3x
and, number of right footed teachers= 13x
So, 3x= 18
x= 6
Hence, there are 78 teachers are right footed.
Learn mor about algebra here:
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PLEASE ANSWER FOR BRAINLIEST!!!!!!!!!
You are choosing between two health clubs. Club A offers membership for a fee of $18 plus a monthly fee of $14. Club B offers membership for a fee of $21 plus a monthly fee of $13. After how many months will the total cost of each health club be the same? What will be the total cost for each club?
In __ months the total cost of each health club will be the same.
The total cost for each health club will be $__.
Answers
Answer:
In 3 months the total cost of each health club will be the same.
The total cost for each health club will be $_60_.
Step-by-step explanation:
(3,2), (3,5)
Find the equation in slope-intercept form of the line passing through the points with the given coordinates
Answers
Step-by-step explanation:
The equation for the slope-intercept is y =3x-4
please help i reaaly need help
Answers
Answer:
6/65
Step-by-step explanation:
using the proper calculator, and through solving.
Solve 25t+5/3<-9 for t.
Answers
Answer:
t<-32/75
hope it's helpful ❤❤❤❤❤❤
THANK YOU.
#
Answer:
t < -32/75
Isolate the variable by dividing each side by factors that don't contain the variable.
A store manager designs a new accounting system that will be cost effective if the mean monthly charge account balance is more than $50. A sample of 100 accounts is randomly selected. The sample mean balance is $56 and the sample standard deviation is $25.a.Find the t-statistic for a hypothesis test that is designed to answer the question.
Answers
Answer:
The t-statistic for a hypothesis test that is designed to answer the question is 2.4.
Step-by-step explanation:
Our test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the saple and n is the size of the sample.
A store manager designs a new accounting system that will be cost effective if the mean monthly charge account balance is more than $50.
This means that [tex]\mu = 50[/tex]
A sample of 100 accounts is randomly selected. The sample mean balance is $56 and the sample standard deviation is $25.
This means that [tex]X = 56, s = 25, n = 100[/tex]. So
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}[/tex]
[tex]t = \frac{56 - 50}{\frac{25}{\sqrt{10}}[/tex]
[tex]t = \frac{6}{2.5}[/tex]
[tex]t = 2.4[/tex]
The t-statistic for a hypothesis test that is designed to answer the question is 2.4.
Mr. Kelly and mr. Sully each make some new units for geometry. Total they need to make 12 units.
Answers
Answer:
What exactly do you need to be answered?
Step-by-step explanation:
how would I do linear expression
Answers
Answer:
Linear expression is linear equations
Step-by-step explanation: