Answers
Answer:
[tex]56.3[/tex]
Step-by-step explanation:
The Law of Sines works for any triangle and is given by [tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex] (the ratio of any angle and its opposite side is equal to the ratio of all other angles and their respective opposite sides).
Thus, we have:
[tex]\frac{\sin 28^{\circ}}{27}=\frac{\sin 102^{\circ}}{c},\\c=\frac{27\sin 102^{\circ}}{\sin 28^{\circ}}=56.2547070223\approx \boxed{56.3}[/tex]
Related Questions
what is the equation for a line that passes through the points (5,-3) and (-10,15)
Answers
Answer:
7 is ur answer
Step-by-step explanation:
What can you tell about a triangle when given three side lengths?
What can you tell about the relationship between the angles of a triangle and its sides?
Answers
Answer:
All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side. If this is true for all three combinations of added side lengths, then you will have a triangle.
Step-by-step explanation:
5) Michelle and Autumn are at a gift shop. They each buy magnets and postcards. Michelle
buys 4 magnets and 6 postcards and spends $24. Autumn buys 2 magnets and 1 postcard and
spends $8. Which system of equation represents this situation? {2 points}
(4x + 6y = 24
a)
2x + y = 8
(4x + 6y = 8
b)
(2x + y = 24
c)
(4x + 2x = 24
y+by = 8
Answers
Answer:it has to be A
Step-by-step explanation:
Made this for twitch please answer this please
Answers
Player B should shade in 2 circles as there is 5 left meaning if player B circled 2 and player A circled one player B could circle the last 2 and if player A circled 2 then player B could have the last one if that makes sense
Which equation represents the formula for the general term, gn , of the geometric sequence 3 , 1 , 1/3 , 1/9 . . .?
Answers
Answer:
Explicit
gn = 3(1/3)^(n-1)
Recursive
gn =1/3gn-1
Step-by-step explanation:
3 , 1 , 1/3 , 1/9 . . .
gn = ar^(n-1)
Where,
a = first term = 3
r = common ratio = 1/3
Check:
g2 = ar^(n-1)
= 3(1/3)^(2-1)
= 3/3^(1)
= 1^1
= 1
The explicit formula is
gn = ar^(n-1)
gn = 3(1/3)^(n-1)
The recursive form for a geometric sequence is gn = rgn-1
recursive form for our sequence gn =1/3gn-1
Where,
gn = 3
Please HELP ME it’s my test I need to turn IT IN. In A COUPLE MIN
Enzymatic browning, the darkening of cut fruit when exposed to the air, can be lessened by
A. cooking the fruit
B.dipping the fruit in a juice rich in vitamin C
C. freezing the fruit
D.dipping the fruit in chocolate
Answers
Answer:d
Step-by-step explanation:
Hope this helps :)
What time will it be in 3/4 hour? Answer for me please x
Answers
Answer:
9:25
hope this helps
have a good day ;)
Step-by-step explanation:
3/4 of an hour=45 minutes so add 8:40 + 45 min
Answer:
9 : 25
Step-by-step explanation:
It shows 8 : 40
After 3/4 hour or 45 minutes.
8 : 40 + 20 minutes + 25 minutes
9 : 00 + 25 minutes = 9 : 25
In a group of 120 pupils , 80 can play drums and 25 play piano . How many pupils can play both instruments if there are 3 pupils who can play neither.
Answers
Answer:
12 pupilsStep-by-step explanation:
Number of pupils can play either instrument:
120 - 3 = 117Number of those can play both:
117 - (80 + 25) = 12Ridas father is 4 times old as rida. After 5 years father will be three times as old as rida.Find their present ages
Answers
Answer:
Rida is 10 years old and her father is 40 years old.
Step-by-step explanation:
Given:
Present age
Present age of Rida = x
Present age of Rida's father = 4x
Age after 5 years
Age of Radi after 5 years = x + 5
Age of Radi's father after 5 years = 3(x + 5)
What To Find:
The present age of Rida and Rida's father.
Solution:
According to the statement the equation will be,
⇒ 4x + 5 = 3(x + 5)
Remove and solve the brackets,
⇒ 4x + 5 = 3x + 15
Take numbers to RHS and variable to LHS,
⇒ 4x - 3x = 15 - 5
Subtract 3x from 4x and 5 from 15,
⇒ x = 10
Now substitute the values of Rida's age and Rida's father's age,
Rida's age = x = 10 years
Rida's father's age = 4x = 4(10) = 40 years
Write the equation of the line in the following graph:
Answers
Answer:
Y = -1/2 - 2
Step-by-step explanation:
Y - intercept (b value in y = mx + b) equals -2.
Slope is -1/2
Answer:
the equation of the line in the following graph: y = -1/2x - 2
hi can somebody plz help me
Answers
Answer:Its the last one to the left up
Step-by-step explanation:
Square root of 17 Is a number between
Answers
Answer:
D
Step-by-step explanation:
[tex]\sqrt{17} = 4.123[/tex]
So we can see that 4.123 lie between 4 and 5
Therefore, option (D) is correct
Write an expression for the phrase.
A number increase by ten.
No links
Answers
Answer:
n + 10
Step-by-step explanation:
im pretty sure thats right, im sorry if not but have a great day!
Answer:
I'm not tryna be a but do u know how to ask questions in the app
Step-by-step explanation:
pls
What is the value of the expression 9 x 4 - (2 x 1/2)
Answers
Answer:
35x
Step-by-step explanation:
Start with parentheses, 2 x 1/2 = 1
9 x 4 = 36
36 - 1 = 35
A positive
B negative
C none
D multiple
Answers
Answer:
postive
Step-by-step explanation:
positive collums so it's positive
Pls I just need the equation for this one
Answers
Answer:
y=1/3x
Step-by-step explanation:
the slope (rise/run) is 1/3 and the y-intercept ("b" in y=mx+b) is just 0, so you dont have to write it
What is the positive square root of 1
Answers
You want to find the positive square root of 1
Figure out which number squared (multiplied by itself) equals 1
The number 1 squared equals 1
1^2 = 1 × 1 = 1
So the positive square root of 1 is 1
[tex] \\ [/tex]
#CarryOnLearning!
I need help with this it's urgent!
Answers
Answer:
I looks like it's anwser D
Answer:
$460.80
Step-by-step explanation:
with we us our formula equation I=prt we now cam solve for our depreciated value
with we substitute our varibles with the correct numerals we now get
I= 960 x 0.12 x 4
we turn our 12% into a decimal to be Simplified into our equation.
If we now solve we will get
I = 960 x 0.12 x 4
I = 460.8
Lol! Quick question By the way this question is really simple! 3 × [(27 − 6) − (6 + 7)]
Answers
Answer:
24
Step-by-step explanation:
use a calculator for these type of problems next time!
the answer to this equation would be 24x
This box is packed with cubes that measure one cubic foot.
Enter the volume of the box in cubic feet. _____ cubic feet.
Answers
Answer:
The answer is 84 cubic feet.
Step-by-step explanation:
3 x 4 = 12. 12 x 6 = 72. 72 + 12 = 84
The length of a field in feet is a function f(n) of the length nin yards. Write a function rule for this situation.
Answers
Given:
The length of field is n yards.
The length of a field in feet is a function f(n).
To find:
The function rule for this situation.
Solution:
We know that,
1 yard = 3 feet
Using this conversion, we get
n yard = 3n feet
The length of field is n yards. So, the length of the field is 3n feets.
The length of a field in feet is a function f(n). So,
[tex]f(n)=3n[/tex]
Therefore, the required function rule for this situation is [tex]f(n)=3n[/tex].
A equation for the ninth term of a arithmetic sequence who seventh term is 21 and common difference of 5
Answers
Answer:
[tex]9th=31[/tex]
Step-by-step explanation:
From the question we are told that:
Seventh term [tex]7th= 21[/tex]
Common difference [tex]d= 5[/tex]
Generally Equation for seventh term
[tex]7th=a+(7-1)d[/tex]
Therefore the First Term is given as
[tex]a=7th-(7-1)d[/tex]
[tex]a=21-6*5\\a=-9[/tex]
Generally the equation for 9th term is mathematically given by
[tex]9th=a+8d[/tex]
[tex]9th=-9+8(5)[/tex]
[tex]9th=31[/tex]
Question Which of these strategies would eliminate a variable in the system of equations? 2x - y = 11 5x + 3y = -11 How many possible solutions will this system have?
Answers
Answer:
Elimination (multiplication and subtraction)
There is 1 solution
Step-by-step explanation:
The only way to solve this system of equations is by elimination (multiplication). Let's say that we want to cancel out the x. You multiply the first equation by 5 and you multiply the second equation by 2.
Your equations now are:
10x-5y=55 and 10x+6y=-22
You can subtract these equations to get -11y = 77.
Now that we know that y = -7, we can substitute y in to solve x.
10x-5(-7) = 55
10x=20
x=2
Final answer (2,-7)
Please answer max 10 min, I have a test.
Given a room is 12 feet by 10 feet and we have a circular rug with a radius of 3 feet, calculate the amount of floor left uncovered by the circular area rug in a rectangular living room. Show all your work.
Answers
Step-by-step explanation:
floor = 12*10= 120 sq ft
rug = r² = 9 Пr2
120-9π = 91.74 sq ft
what is the length of side B in the above right triangle
Answers
Answer:
b is 3 pythagorean theorem
Step-by-step explanation:
Answer:
your answer for B is 3
Step-by-step explanation:
this is easy its a Pythagorean Triple (with triples u dont have to do much work all u have to do is know ur Triples and its that easy)
so the Triples are
3,4,55,12,138,15,177,24,25p.s you might want to write these down for the future
so if we look at this picture of the triangle we can tell its a 3,4,5 triple
and there is one missing side which is 3.
3. For the following system of equations, complete a table of at least 5 points for each equation, then graph the system on the coordinate plane. Describe the solution.
y = -3x + 4
6x + 2y - 8 = 0
Answers
Answer:
I'll do it for the equation, then you can try to solve the second one. Of your not able to, just comment and I'll answer the second one
Step-by-step explanation:
y = -3x+4
When
___x__l _y____
0 l 4
1 l 1
2 l -2
3 l -5
4 l -8
What is the volume of the triangular prism below?
20 ft
18 ft
15 ft
СА
B
1, 280 ft
1, 320 ft
2, 700 ft
5, 400 ft
OD
Answers
plzz help me with the correct ans find x
Answers
Answer:
15
Step-by-step explanation:
Since, triangle ABC is the enlargement of triangle XYZ.
[tex] \therefore \triangle ABC \sim \triangle XYZ[/tex]
So, corresponding sides of both the triangles would be in proportion.
[tex] \therefore \frac{x}{6}=\frac{25}{10}[/tex]
[tex] \therefore x= \frac{6\times 25}{10}[/tex]
[tex] \therefore x =\frac{150}{10}[/tex]
[tex] \therefore x = 15[/tex]
Which of the following is/are equal to 3.4?i)314ii)5115iii)3410
Answers
Simplify 6(x + 3).
6x + 3
x + 18
6x + 18
6x + 9
Answers
Answer:
the answer of this question is = 6x + 18