In right triangle ABC, m∠B ≠ m∠C. Let sin B = r and cos B = s. What is sin C – cos C?
Answers
==================================================
Explanation:
We'll need these trig ratios
sine = opposite/hypotenusecosine = adjacent/hypotenuseRefer to the diagram below.
sin(B) = r = r/1 which tells us that the side opposite angle B is r units long. The hypotenuse is 1.
cos(B) = s = s/1 means the adjacent side to angle B is of length s
sides r and s are the two legs of the right triangle.
----------
From that diagram, we can then say:
sin(angle) = opposite/hypotenuse
sin(C) = s/1
sin(C) = s
This is identical to cos(B). We can say cos(B) = sin(C)
Also, we can say:
cos(angle) = adjacent/hypotenuse
cos(C) = r/1
cos(C) = r
So cos(C) = sin(B)
This works because B+C = 90
----------
So,
sin(C) - cos(C) = cos(B) - sin(B) = s - r
Related Questions
Using the numbers 5. 8. and 24, create a problem using no more than four operations (addition,
subtraction, multiplication, division, square, square root, cube, cube root) where the solution
will be an irrational number. Explain why the result of your operations is an irrational number
Answers
Read the paragraph. [1] The 1992 Olympic Games took place in Barcelona, Spain. [2] This marked the first year that professional basketball players were permitted to represent their countries in the games. [3] Previously, only amateur players were allowed to participate such as college athletes. [4] The US squad was called “The Dream Team” because it consisted of some of the best players in the history of the game, including Michael Jordan, Magic Johnson, and Larry Bird. Which sentence should be revised to improve this paragraph’s sentence fluency?Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
Answers
The sentence that needs to be revised to improve the paragraph's sentence fluency is: sentence 3.
The two correct representations for the inequality can be -6x + 15 < 10 - 5x OR x < 5
In a grammatical context, the correct usage of punctuation marks and active voice is required and needed to be taken into consideration by the writer for effective communication to the reader.
The correct form of the sentence in sentence 3 should be:
"Previously, only amateur players, like college athletes, were allowed to participate."The inequality given is -3(2x - 5) < 5(2 - x). Using the simple algebraic method to solve the given inequality, we have:
= -3(2x - 5) < 5(2 - x)
= -6x + 15 < 10 - 5x
By collecting the like terms, we have:
= 15 - 10 < -5x + 6x
= x < 5
Therefore, the two correct representations for the inequality can be -6x + 15 < 10 - 5x OR x < 5
NOTE: The third question is a repetition of an incomplete question.
Learn more about sentences here:
https://brainly.com/question/4955765
Answer my question 4 u could get 10 points
Answers
Answer:
30
Step-by-step explanation:
Split the trapezoid into parts, a rectangle and a triangle. The dimensions of the rectangle will be 3 and 8, so 3*8=24. 24 is part of the answer. The dimensions of the triangle are 4 and 3, and 4*3/2 is 6, so 6 is the other part of the answer. 24 + 6 = 30.
th
then
term of the sequence
Write an
explicit formula for
an)
19, 24, 29,
Answers
Answer:
tn=a+(n-1)d
Step-by-step explanation:
t1=19
t2=24
t3=29
now,
d=t2-t1=24-19=5
=t3-t2=29-24=5
then,
tn=a+(n-1)d
=19+(n-1)5
=5n+14
Can anyone please answer number 6.
Answers
Answer:
Step-by-step explanation:
Exact Form:
2
√
2
+
3
√
5
−
2
2
2
+
3
5
-
2
Decimal Form:
7.53663105
…
Answer:
28
Step-by-step explanation:
2(√2+3)² -3(√2+3*√2-2)
expand collect like terms
2(2+6√2+9)-3(4√2-2)
2(2+6√2+9)-3(4√2-2)
calculate remove parentheses
2(11+6√2)-12√2+6
remove parentheses
22+12√2-12√2+6
remove opposite and calculate
solution= *28*
was this helpful???!
pleaseeee asapppppp asapppppp
Answers
Answer:
7.07
Step-by-step explanation:
Angle M is 63 degrees because all 3 angles must add to 180.
Now use the law of sines:
sin(90)/x = sin(63)/6.3
Cross multiply: 6.3 sin (90) = x sin (63)
Divide by sides by sin (63): (6.3 sin (90))/sin (63) = x
Use a calculator: 7.07
Admission to the gymnastics meet was $2.40 for adults and $1.25 for students. If 540
tickets were sold for a total of $934.90, how many tickets of each were sold? (i’ll give brainliest just answer within the next 15 mins pls!!)
Answers
Answer:
hi friends I need help with the following me
can someone help me please heeellllppppp.
Answers
Answer:
your answer to (i) is 5 because anything with a denominator of 0 is undefined
Step-by-step explanation:
an equilateral triangle with the perimeter of 90cm, what is the length of its side?
Answers
Answer:
The length of its side is 30 cm
Step-by-step explanation:
Given:An equilateral triangle with the perimeter of 90cm.
In a Equilateral Triangle all sides are equal
i.e., all 3 sides are equal
Now,
90/3 = 30 cm
Thus, The length of its side is 30 cm
-TheUnknownScientist 72
an equilateral triangle with the perimeter of 90cm, what is the length of its side?
Answer:-30cm
Explanation:-Given,
Perimeter of the equilateral triangle = 90cm
We know that,
All three sides of an equilateral triangle are equal.
So,
90/3 = 30cm
The length of the side is 30cm.
how many years is 25 months 109 weeks and 765 days
Answers
Answer:
(25 months 109 weeks)+(765 days)=6.26685869years.May this help you
write an equation in slope intercept form of the line that passes through the points (-3,6) and (0,0)
Answers
Answer:
y=-2x
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(0-6)/(0-(-3))
m=-6/(0+3)
m=-6/3
m=-2
y-y1=m(x-x1)
y-6=-2(x-(-3))
y-6=-2(x+3)
y=-2x-6+6
y=-2x
Note that the slope-intercept form is y=mx+b where m=slope and b=y-intercept.
Solve -4 b + 2 = 18.
Answers
Answer:
-4
Step-by-step explanation:
Move all terms that don't include B to the right and solve
!!!!!!!!!!!!!!!100100100100100pts!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
1. B) 31
2. B) 4
3. A) 15
4. D) 24
5. A) 3
MARK BRAINLEIST PLS THIS TOOK A LOT OF TIME
The slope of the line that passes through the points ( 2 , 3 ) a n d ( 5 , 9 ) is?
Answers
Christian buys a two-gallon bottle of juice for $18.16.
1 gallon = 4 quarts
1 quart = 2 pints
1 pint = 2 cups
1 cup = 8 fluid ounce
How many fluid ounces of juice did Christian buy?
Answers
Answer:
256 fluid ounces
Step-by-step explanation:
2 gallons = 8 quarts
8 quarts = 16 pints
16 pints = 32 cups
32 cups = 256 fluid ounces
5x + 15y = 1200 models how many cars washed (x) and how many bikes sold (y) Jim has to do to save $1200. Of the four combinations of car washed and bikes sold below, which does NOT result in $1200?(3, 79)(6, 78)(8, 76)(9, 77)
Answers
Answer:
(8, 76)
Step-by-step explanation:
Use the following system of equations to determine if each ordered pair is a solution: 1. Is (-4,-2) a solution to the system of equations below? Show your work. -3x+2y=8 x + 2y = -8
Answers
Wilson Green sells home security systems. He earns an 13% commission on every system he sells. Wilson's sales for this month totaled $6425. What is Wilson's commission? *
Answers
Answer
$835,25
Explanation
Total sales = $6425
Commission = 13%
100% - $6425
13% - x
13 * 6425 = 83525
83525 \ 100 = 835,25
Please give me the answer ASAP.
Answers
Answer:
-t+2>10
Step-by-step explanation:
Just ask.
Hope this helps! :D
Solve. 213−12x=−23 Enter your answer in the box.
Answers
[tex]213 -12x = -23\\\\\implies 12x = 213 +23 = 236\\\\\implies x = \dfrac{236}{12}= \dfrac{59}3 = 19.67[/tex]
The value of x from the given equation is [tex]19\frac{2}{3}[/tex].
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
The given equation is 213-12x=-23.
Now, 213+23=12x
⇒ 12x=236
⇒ x=236/12
⇒ x=59/3
⇒ x=[tex]19\frac{2}{3}[/tex]
Therefore, the value of x is [tex]19\frac{2}{3}[/tex].
To learn more about the solution of an equation visit:
https://brainly.com/question/14506845.
#SPJ2
-9/12-(-1/3) A 8/9. B. -8/9. C 5/12 D -5/12
Answers
Answer:
-5/12/ D
Step-by-step explanation:
-9/12 -(-1/3)
turn 1/3 into a fraction with a similar denominator
-9/12-(-4/12)
-(- = addition (+)
-9+4= -5
-5/12
What is the coefficient in this expression? (34mn)
34
3
n
4
Answers
have a good day :]
The coefficient in this expression is 34.
The first option is the correct answer.
What are variables and coefficients?The variable can have any value. That is, you can change the value of the variable. The value of the coefficient does not change, but changes in the value of the variable can change the value of the term containing the variable and the coefficient.
In formulas, coefficients are constants that are multiplied by variables. Consider the following equation: 3 x 2 + 5x-3 = 0. ax3 + x 2 = z. The values 3 and 5 in the first equation are the coefficients of the variable x.
Learn more about coefficient of expression here https://brainly.com/question/525935
#SPJ2
The length of a rectangle is increasing at a rate of 9 cm/s and its width is increasing at a rate of 7 cm/s. When the length is 13 cm and the width is 10 cm, how fast is the area of the rectangle increasing?
Answers
Answer:
195 square centimeters per second
Step-by-step explanation:
Area growth rate = (9*10) cm^2 per s + (7*15) cm^2 per s = 195 square centimeters per second
- 8i - 7i
A. - 15i
B. 15i
C.-15 l^ 2
D. 15i ^ 2
Answers
I will give brainliest!
Arwen created a copy of a certain line segment. What do you know is true about these two line segments?
1. The measure of the original line segment will be twice the measure of the copy.
2. The measure of the original line segment will be half the measure of the copy.
3. The endpoints will have the same letters.
4. They are congruent.
Answers
A copy of a line segment will have the same measure or length as the segment.
The true statement is (4) They are congruent.
From the question, we understand that a copy of the line segment is created.
This means that the new segment has the exact property as the original line segment.
Hence, both lines are congruent, and the true statement is (d)
Read more about line segments at:
https://brainly.com/question/3573606
please answer the two question and how you answered it NO LINKS AND NO WEBSITES I really need help with tthis, and also if it's Substitution or linear combination.
Answers
Answer:
(x, y) = (6, 8) using linear combination
Step-by-step explanation:
The coefficients of the x-terms are opposites of each other (2 and -2), so the x-terms can be eliminated using a linear combination of the equations.
Adding the two equations together gives ...
(2x -y) +(-2x +3y) = (4) +(12)
2y = 16 . . . . . . . . simplify
y = 8 . . . . . . . divide by 2
Substituting for y in the first equation gives ...
2x -8 = 4
x -4 = 2 . . . . . divide by 2
x = 6 . . . . . . . add 4
The solution is (x, y) = (6, 8).
3x+4y=12 find x-intercept and y- intercept
Answers
Answer:
x-intercept(s): ( 4 , 0 )
y-intercept(s): ( 0 , 3 )
x = 4
y = 3
Step-by-step explanation:
To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.
x-intercept(s): ( 4 , 0 )
y-intercept(s): ( 0 , 3 )
slope = -0.750
10. Andrew has deposited $5500 ond has withdrawn $4800 Two times consecutively. Find the amount in his account.
Answers
Answer:
-4100
Step-by-step explanation:
STEP ONE:
5500-4800(2)
STEP TWO:
5500-9600
STEP THREE:
Get -4100.
So, the answer is -4100.
What is the slope??
(The bottom one says : (-6, -5)
Answers
Here,
(-1, 4) = (x₁ , y₁)
(-6, -5) = (x₂ , y₂)
Slope = rise/run
Slope = y₂ - y₁/x₂ - x₁
Slope = -5 - 4/ -6 + 1
Slope = -9/-5
Slope = 9/5
_____
Hope it helps ⚜
help on both
please !!!
don't give me irrelevant answers pls
Answers
Answer:
< 1 is 85
X= 50
Step-by-step explanation:
ok the first question has 2 angles given 60 and 65
consider this one shows a 90 degree angle and the other does not. so 60 plus 90 equals 150 degrees
the u must say 65 plus x (x being angle 1) must also equal 150
subtract 65 from 150 and you get 85
now the second problem lets use the
Exterior Angle Theorem
The measure of an exterior angle (our w) of a triangle equals to the sum of the measures of the two remote interior angles (our x and y) of the triangle.
using this we know the 40 degree angle and 2x + 20 equals 3x plus 10
so we subtract 10 degrees from both sides and get
2x plus 10 plus 40 equals 3x now this means x equals 10 plus 40 which is 50