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
V = I ( R + r )
r = ?
Answers
Answer:
r = [tex]\frac{V-IR}{I}[/tex]
Step-by-step explanation:
Given
V = I (R + r) ← distribute parenthesis
V = IR + Ir ( subtract IR from both sides )
V - IR = Ir ( divide both sides by I )
[tex]\frac{V-IR}{I}[/tex] = r
The function f(x) is shown below.
If g(x) is the inverse of f(x), what is the value of f(g(2))?
Answers
Answer:
f(g(2)) = 2
Step-by-step explanation:
g(2)
g is the inverse function of x, which means that [tex]g(2)[/tex] is the value of x for which [tex]f(x) = 2[/tex], which is [tex]x = -3[/tex], and thus, [tex]g(2) = -3[/tex]
f(g(2))
[tex]g(2) = -3[/tex]
Thus
[tex]f(g(2)) = f(-3)[/tex]
Looking at the table, when [tex]x = -3, f(x) = 2[/tex]
Thus: [tex]f(g(2)) = 2[/tex]
Out of 113 students, it was found that 18 drink neither tea nor coffee, 67 drink tea and 37 drink coffee.Find:
i) How many students drink coffee only?
ii) How many students like tea only?
Also show in the Venn diagram?
Answers
Answer:
Step-by-step explanation:
Please help I’ll give brainliest
Answers
Answer:
15
Step-by-step explanation:
15 cubed (15×15×15) equals 3375
PLEASE HELP! Math (recursive sequences)
Answers
Answer:
a₄ = 123
Step-by-step explanation:
a₁ = 1
a₂ = (1)² + 2
a₂ = 3
a₃ = (3)² + 2
a₃ = 11
a₄ = (11)² + 2
a₄ = 123
If f(x) = 3x + 2, what is f(5)?
Answers
Answer:
17
Step-by-step explanation:
f(x) = 3x + 2
Let x=5
f(5) = 3*5 + 2
Multiply first
= 15+2
Then add
= 17
The incomplete Venn diagram below shows the number of students in a class of 28 who play football and tennis. U F x T U = {all students in the class} F = {students who play football} T= {students who play tennis} Additional information about the class is that 12 students play tennis 15 students play football 8 students play ncither football nor tennis r students play BOTH football and tennis. (1) Complete the Venn diagram above to represent the information, showing the number of students in EACH subset. (3 marks) Calculate the value of x.
Answers
Answer:
28=12+15+8+x
28=35+x
35-28=x
x=7
Which one is it?
a) <
b) =
c) >
Answers
Answer:
B) =
Step-by-step explanation:
When you calculate the equation on the left (32 + 4 = 36) then the one on the right (6 × 6 = 36), and they will be both be equal.
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Have a great summer :)
Write and equation for a line that is parallel to the line 4y + 3x = 12
Answers
Answer:
y = -3/4 x + B
Step-by-step explanation:
B is the translation of the line across y-axis
what is the area of this rectangle?
Answers
Answer:
24 tiles^2
Step-by-step explanation:
Length = 6
width = 4
Area = Length x width
= 6 x 4
= 24 tiles^2
The domain of the function is the set of all real numbers, and the range of the function is the set of all real numbers greater than or equal to
Answers
Answer:
Step-by-step explanation:
ok pls pls help !!!!!!!!!!!!!!!!!!!!!!!!
Answers
Step-by-step explanation:
everything can be found in the picture
Which best describes angle 3 and angle 7?
Answers
Answer:
A) corresponding
Step-by-step explanation:
multiply the following using the vertical multiplication method: 3x^2+5x+1×x^2-2x+4
Answers
__________________________
Step 1: Combine 3x² and 1x² to get 4x²
Step 2: Combine 5x and -2x to get 3x
3x² + 5x + 1 × x² - 2x + 4
= 4x² + 5x - 2x + 4= 4x² + 3x + 4___________________________
Which integer is farthest from 0?
3
-8
-10
9
Answers
Answer:
-10
Step-by-step explanation:
i think this is the answer
Which equation represents a line which is parallel to the line 7y-4x=-14
Answers
Answer:
sympathise or strategies
What is the correct ratio of each rational root of the polynomial Function
Answers
Answer:
factor of 6 and 5
Step-by-step explanation:
PLEASE SOMEONE HELP ME I WILL GIVE BRAINLIEST
Answers
20 b: x = 12
17 c: 30
The value of log₃⁵ x log₂₅⁹ is...
Answers
Answer:
i dont know this answer but the answer will be 2log3 ok cheak it clearly wheather it is right or wrong
[tex](5^{3})^{-3}[/tex] pls
Answers
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]( { {5}^{3} })^{ - 3} \\ \\ which\:means \:that \: {5}^{3}\: is \:multiplied \:thrice\: with\: itself\\ \\ = {5}^{3 \times - 3} \\ \\ = {5}^{ - 9} \\ \\= \frac{1}{ {5}^{9} } \\ \\ = \frac{1}{5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5} \\ \\ = \frac{1}{1953125} [/tex]
Note:-
[tex]( { {a}^{m} })^{n} = {a}^{m \times n} [/tex]
[tex]{a}^{ - m} = \frac{1}{ {a}^{m} }[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
Which statement describes why the system has two solutions?
Answers
Candace complete a 3.1 mile run in 22 1/2 minutes. At that pace, what is her unit rate, in minutes per mile? Round your answer to the nearest tenth.
Answers
3.1 x 22 1/2 = 69.75 rounded is 70
How do I find RS? I've been having great trouble with questions like this recently.
Answers
To find the value of RS, you first have to solve for the variable x.
To do this you solve the equation of 2x - 6 + 1 + x - 4 = 18. You get this equation by adding all the values of the line PS together, equaling them to 18, because these lines have the same value.
Solving this equation gives you x = 9.
You then substitute 9 into x - 4.
9 - 4 = 5.
This gives you RS = 5
Answer:
5
Step-by-step explanation:
We can solve by solving for x
2x-6 + 1 + x-4 = 18
3x-9=18
3x=27
x=9
Plug in 9 for x in Segment RS and you get (9) - 4 = 5
Hope this Helps!
Please Mark Me Brainliest!
:)
Help plsss 10 points
Answers
add 4312base5 3444base5 qunary number please add qunary
Answers
9514 1404 393
Answer:
13311₅
Step-by-step explanation:
Each column gets the sum mod 5, with a carry to the next column of the quotient of the sum and 5. For example, in the units column, 2+4 = 11₅, so 1 is written in the units column as the sum, and 1 is carried to the 5s column (next one to the left).
Continuing in this fashion gives the sum 13311₅.
__
If you recognize that 3444₅ = 4000₅ -1, you can subtract 1 from 4312₅ and add 4 in the 5³ place (4th column from the right). That gives you ...
4311₅ +4000₅ = 13311₅
_____
The base-5 addition table is attached.
Measurement questions please help
Answers
Answer:
There are 16 marks per inch. This means that each mark is equal to 1/16th of an inch. Knowing this, we can just count backward from the 3 inch mark from 16 to get the fraction, then just add two.
2.8125
Step-by-step explanation:
use thing below to get answers or count them
Find the measure of KL
A. 10
B. 5
C. 7
D. 8
Answers
Answer:
[tex]ML=9,MN=8[/tex]
[tex]MK=ML+LK[/tex]
[tex]9+-3+x[/tex]
[tex]=9-3+x[/tex]
[tex]MK=6+x[/tex]
[tex]ME=MN+NE[/tex]
[tex]ME=8+x[/tex]
Now using Secant secant theorem:-
[tex]ML*MK=MN*ME[/tex]
[tex]9(6+x)=8(8+x)[/tex]
[tex]54+9x=64+8x[/tex]
Subtracting 8x and 54 on both sides:-
[tex]54+9x-8x-54=64+8x-8x-54[/tex]
[tex]x=10[/tex]
[tex]KL=-3+x[/tex]
[tex]KL=-3+10[/tex]
[tex]KL=7[/tex]
so, your answer is C) 7
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hope it helps....
Answer:
C.) 7
Step-by-step explanation:
I got it correct on founders edtell
Find the percent change and tell whether it is a percent decrease or
increase.
Original amount: 30
End amount: 45
Answers
Determine whether each side with given lengths is a right triangle.
A. a=5, b=10 and c=15
B. a=11, b=60 and c=61
Answers
Answer:
61
Step-by-step explanation:
lenths is a right anglre
Help
Help
Help
Help
Help
Help
Answers
Answer:
105˚, 75˚
Step-by-step explanation:
<2 is 75˚ by same side angles of a transversal.
<1 is supplementary to <2 so 180-75 = 105˚
