we can change cos to sin by saying cosx=sin(90-x)
now we drop sin and make the angles equal (nothing needs to be added or subtracted since its in the first quadrant)
90-x=20+x+k.360.......kEZ (k is an element of set of integers) (we say k.360 if it's cos and sin and k.180 if it's tan)
-x-x=20-90+k.360........kEZ
-2x=-70+k.360.........kEZ
divide all terms by -2
x=35-k.180.......kEZ
Answer:
x=35°
Step-by-step explanation:
If cos x = sin(20 + x)° and 0° < x < 90°, the value of x is 35°.
The path of a race will be drawn on a coordinate grid like the one shown below. The starting point of the race will be at (−5.3, 1). The finishing point will be at (1, −5.3).
Part A: Use the grid to determine in which quadrants the starting point and the finishing point are located. Explain how you determined the locations. (6 points)
Part B: A checkpoint will be at (5.3, 1). In at least two sentences, describe the difference between the coordinates of the starting point and the checkpoint, and explain how the points are related. (4 points)
The Cartesian coordinate plane, specify locations by a pair of coordinates that indicate the magnitude in perpendicular, x, and y directions
The correct responses are;
Part A: The starting point is in the second quadrant and the finishing point is in the fourth quadrant.Part B: The starting point and the check point are on different quadrant. Both points are on the same horizontal line.Reasons:
The location of the start point of the race = (-5.3, 1)
Location of the finishing point = (1, -5.3)
Part A: The signs of the x and y-values in the quadrants are;
[tex]\begin{tabular}{|cc|c|}Quad II, x -ve, y +ve&&Quad I, x, and y are +ve\\&&\\Quad III, x -ve, y -ve&&Quad IV, x +ve, y -ve\end{array}\right][/tex]The coordinates of the starting point is (-5.3, 1), therefore, given that the x-
coordinate is negative and the y-coordinate is positive, the quadrant of the
starting point is quadrant II (the second quadrant).
The quadrant of the starting point is the second quadrant.The coordinates of the finishing point is (1, -5.3), the x-value is positive and
the y-value is negative, which indicates that the quadrant of the finishing
point is quadrant IV (the fourth quadrant).
The quadrant of the finishing point is the fourth quadrant.Part B: The location of the checkpoint is; (5.3, 1)
The difference is that the x-value of the checkpoint is positive while the x-value of the starting point is negative, and they are therefore on different quadrants.
The similarity is that, the magnitude of the x, and y values of the coordinates of the check point and the starting point are the same. Therefore, the checkpoint and the starting point are on the same horizontal line.
Learn more about the Cartesian coordinate plane here:
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How many solutions does this system have?
y = 2/3x + 3
2x - 3y = -9
A. one solution (what i think) ****
B. two solutions
C. no solutions
D. infinitely many solutions
Answer:ONE solution.
Step-by-step explanation:
PLEASE ANSWER ILL GIVE 5 STARS AND A HEART!!!
Answer:
120
Step-by-step explanation:
5x6 = 30
30x4= 120
Determine the quotient of 4/5 divided by 4
Answer:
it will probably be 1/5
hope I am correct and sorry if not.
What is the vertex of f(x) = 3Ix-2I +4?
Answer: (2,4)
Step-by-step explanation:
Vertex
|0-2| = 0
|-2| = 0
The graph is shifted 4 units up so therefore (2,4) is the vertex
If a function is restricted, is there no end behavior?
Answer:
If a function is restricted, it still has an end behavior!!!
Step-by-step explanation:
Let's say we have f(x)=(x-4)^2, x≥4.
If this function is graphed, we can see that the line starts at (4,0). It only has one side to it.
This means that it is restricted on the left side. In other words, x has to be greater than or equal to 4.
However, just because this function is restricted doesn't mean it doesn't have an end behavior!
As we can see, the graph continues on into eternity. As a result, we can write the end behavior as:
x --> ∞, f(x) --> ∞
There is no end behavior for the left side because that's where the graph is restricted.
Hope this helps!
The speed of a train is 90 km per hour so how much will it be in m /s .
Answer:
90km/h in m/s will be
90×1000m/3600s ( convert 1km/1h to 1000m/3600sec )
=> 25m/s
we have: 90 km/h = 90 ÷ 3,6 = 25 m/s
Ok done. Thank to me :>
PLEASE HELP!!!!!!!!!!!!! ASAPPP
Answer:
JO !
Step-by-step explanation:
get he exponet out the way
\
that leaves you with 3+4x1
do 4x 1 that equals 4
3+ 4 = 7
Hey there!
3 + 4 × 1^2
= 3 + 4 × 1
= 3 + 4
= 7
[Jo is correct] whereas Mia is incorrect because she misunderstood the question.
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Pls Find the value of x
[tex]x + 104 + 28 = 180 \\ (140 + 28 = 132) \\ x = 132[/tex]
[tex]\sf\longmapsto x + 104 + 28 = 180[/tex]
[tex]\sf\longmapsto x = (104 + 28) = 132[/tex]
[tex]\sf\longmapsto x = 132[/tex]
What is the slope of the line?
Answer:
-1/2
Step-by-step explanation:
Pick 2 points on the line, that are real whole numbers. I used (-3,-3) and (-1,-4)
Calculate the slope using rise over run. -4-(-3)=-1
-3-(-1)=2
Or, after choosing the dots, you can make a triangle
$12,500 is invested, part at 9% and the rest at 5%. If the interest earned from the amount invested at 9% exceeds the interest earned from the amount invested at 5% by $486.00, how much is invested at each rate?
Answer:
$1,538.00
Step-by-step explanation:
It took Corinne 3 hours to do 12 pages of homework. How many pages of homework did she do per hour?
Answer: Check explanation.
Step-by-step explanation: If Corinne did 12 pages in 3 hours, then for each hour we have 12 by 3. We get 4, which means that every 1 hour she does 4 pages of homework. Hope this helped!
What is the probability that Tom, Ana, and Julio will all win if there are
four candidates chosen for four seats? There are still ten candidates
running.
Answer:
1/30
Step-by-step explanation:
What’s is log17 divided by 4
Answer:
log(17 1/4)
Step-by-step explanation:
In one serving of a fruit smoothie, the ratio of the number of ounces of water to the
number of ounces of fruit is 3 to 4.
Drag the numbers into the table to show how many ounces of water and fruit are
needed for different numbers of servings.
The ratios of ounces of water and fruits for different servings are:
1 serving = 3/4
2 servings = 6/8
3 servings = 9/12
4 servings = 12/16
5 servings = 15/20
What is a ratio?A ratio is an ordered pair of numbers a and b.
It is written as:
a / b
where b does not equal 0.
A proportion is an equation in which two ratios are set equal to each other.
We have,
In one serving:
= 3/4
The ratio of ounces of water to the ounces of fruit is 3/4.
In every number of servings, the ratios must be in proportion so,
We have the following cases:
2 servings:
= 3x2 / 4x2
= 6/8
3 servings:
= 3x3 / 4x3
= 9/12
4 servings:
= 3x4 / 4x4
= 12/16
5 servings:
= 3x5 / 4x5
= 15 / 20
Thus the ratios of ounces of water and fruits for different servings are:
1 serving = 3/4
2 servings = 6/8
3 servings = 9/12
4 servings = 12/16
5 servings = 15/20
Learn more about ratios and proportions here:
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#SPJ5
hello comment anything
I like anime and sleeping✌
Answer:
i like food, money, and games
Step-by-step explanation:
E
What is 29−−√?
What 2 numbers does it fall between when placed on a number line?
Question 5 options:
Between 5 - 5.5
Between 4 - 4.5
Between 4.5 - 5
Between 5.5 - 6
Air is being pumped into a spherical balloon at the rate of 7 cm3/sec. What
is the rate of change of the radius at the in stant the volume equals 36π cm3
? The volume of
the sphere of radius r is (4 over PI )r power of 3
Answer:
Step-by-step explanation:
[tex]V=\frac{4}{3} \pi r^3\\\frac{dV}{dt} =\frac{4}{3} ~\pi \times ~3r^2\frac{dr}{dt} \\\frac{dV}{dt} =4\pi r^2\frac{dr}{dt} \\7=4\pi r^2\frac{dr}{dt} \\\frac{dr}{dt} =\frac{7}{4\pi r^2} \\when~V=36 \pi cm^3\\36\pi =\frac{4}{3} \pi r^3\\r^3=\frac{36\pi \times 3}{4\pi } =27=3^3\\r=3~cm\\\frac{dr}{dt} =\frac{7}{4\pi \tmes 3^2} \\\frac{dr}{dt} =\frac{7}{36 \pi } cm/sec[/tex]
Help with this polynomial problem.
Answer:
i cannt see it
Step-by-step explanation:
Anna spent 8 hours reading a book. This is twice as long as Kim spent reading her book. Write an
equation that can be used to find the number of hours, h, Kim spent reading her book.
Answer:
8x2=h
Step-by-step explanation:
Answer:
8 ÷ 2 = h
Step-by-step explanation:
Since we know that 8 hours is two times the amount of time Kim read her book we know we have to divide 8 by 2 to get the answer for h.
have a good day/night
(2x + 3y)^2– (2x – 3y)^2
Hi,
(2x + 3y)² - (2x - 3y)²
(a + b)² = a² + 2ab + b²(a - b)² = a² - 2ab + b²= [(2x)² + 2x*3y + (3y)²] - [(2x)² - 2x*3y + (3y)²]
= (4x² + 6xy + 9y²) - (4x² - 6xy + 9y²)
= 4x² + 6xy + 9y² - 4x² + 6xy - 9y²
= 12xy
I hope it helped ✅(◠‿◕)
Which of the following function pairs are inverses?
Which number can each term of the equation be multiplied by to eliminate the fractions before solving? -3/4m-1/2=2+1/4m
Answer:
4
Step-by-step explanation:
Looking at the fractions, -3/4 and 1/2 and 1/4, you can see the LCD or least common denominator is 4.
Thus you get -3, 2, and 1 respectively by multiplying each fraction by 4.
PLS HELP
A line passes through (5, 3) with a slope of 3/5. Plot at least 3 points on this line
Does anyone know how to do this?
Answer:
∠ GFC = 67°
Step-by-step explanation:
The sum of the 3 angles in Δ BCF = 180° , then
∠ FCB + 73° + 40° = 180°
∠ FCB + 113° = 180° ( subtract 113° from both sides )
∠ FCB = 67°
∠ GFC and ∠ FCB are alternate angles and are congruent , so
∠ GFC = 67°
what is the value of x in x(a+b)=b(c-x)
Answer:
x = [tex]\frac{bc}{a+2b}[/tex]
Step-by-step explanation:
x(a + b) = b(c - x) ← distribute parenthesis on both sides
ax + bx = bc - bx ( add bx to both sides )
ax + 2bx = bc ← factor out x from each term on the left side
x(a + 2b) = bc ← divide both sides by (a + 2b)
x = [tex]\frac{bc}{a+2b}[/tex]
Can someone help me on this math problem please
Answer:
CPCTC
Step-by-step explanation:
In each case the half-angles resulting from bisecting the angles are corresponding parts of congruent triangles, hence congruent themselves. (CPCTC)
When a segment divides an angle into two congruent parts, it is an angle bisector.
I need Someone to help me with this problems equation and answer must be correct (100 Points)
Answer:
1) 3x+18=45 x=9
2)8-5x=-7 x=3
3)3+2x=15 x=6
4) 12million - 2 million = 10 million
Step-by-step explanation:
A French class has a total of 31 students. The number of males is 7 more than the number of females. How many males and how many females are in the class?
Answer:
12
Step-by-step explanation:
Stacy is driving at a speed of 48 miles per hour. How many feet is she travelling per minute?