Answers
Answer:
x = 90°
Step-by-step explanation:
Using the identity
cos²x = 1 - sin²x
Given
cos²x - sin x + 1 = 0
1 - sin²x - sin x + 1 = 0
- sin²x - sin x + 2 = 0 ← quadratic equation in sin x ( multiply through by - 1 )
sin²x + sin x - 2 = 0 ← in standard form
(sinx + 2)(sinx - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
sinx + 2 = 0 ⇒ sinx = - 2 ← has no solution as - 1 ≤ x ≤ 1
sinx - 1 = 0 ⇒ sinx = 1 ⇒ x = 90°
solution is x = 90°
Related Questions
Describe each transformation that must be applied to f(x)=x² to get the function g(x)=1/2(x+2)² (30 POINTS)
Answers
Answer:
translate 2 units to the left and compress by 1/2 in the y direction
Step-by-step explanation:
f(x)=x²
y = f(x + C) C > 0 moves it left
We add 2 to move it 2 units to the left
h(x) = (x+2)^2
y = Cf(x) 0 < C < 1 compresses it in the y direction
g(x) = 1/2 (x+2)^2
Which equation has the same solution as x^2 – 8x + 19 = -10?
(x +4)^2 = -45
(x – 4)^2 = -13
(x – 4)^2= – 45
(x + 4)^2 = = -13
Answers
A system of linear equations in two variables is the collection of two linear equations in two variables considered simultaneously. B. A system of linear equations in two variables must have at least one solution. C. It is possible for a system of linear equations in two variables to have infinitely many solutions. D. The solution to a system of equations in two variables is the set of all ordered pairs for which both equations are true.
Answers
Complete Question:
Which of the following statements is not true?
Choose the incorrect statement below.
Answer:
B. A system of linear equations in two variables must have at least one solution.
Step-by-step explanation:
A linear function has a positive relationship and as such an increase in one variable (input variable) causes an increase in the other variable (output variable) i.e the variables are directly proportional. Thus, the graph of a linear function is a straight-line and its slope is always constant.
Similarly, a linear equation is an algebraic equation of the first order with two variables and each of its term having an exponent of one.
Generally, a system of linear equations in two variables must have at least two solution.
For example, y = 2x + 1 is a linear equation.
a. To find the value of y;
When x = 0
y = 2(0) + 1
y = 2 + 1
y = 3
b. To find the value of x;
When y = 0
0 = 2x + 1
2x = -1
x = -½
Which triangles are similar?
20°
100°
100°
60°
А
B
20°
60°
с
O A. Triangles A and B are similar to each other.
B. Triangles A, B, and C are similar to each other.
C. Triangles A and C are similar to each other.
D. Triangles B and C are similar to each other.
Answers
Answer:
B because when at B angels are the same qnd A and c are also same
What is the edge length of
a cube of 1/8 m^3
Answers
Step-by-step explanation:
The volume of a cube is the edge³, so to find the edge, you need to calculate the cubic root of it:
[tex] \sqrt[3]{ \frac{1}{8} } = \frac{1}{2 } [/tex]
Felipe, Pedro y Miguel son fanáticos del cine. Felipe asiste cada 3 días; Pedro cada 6 días y Miguel cada 5 días. Los tres van juntos un día, ¿dentro de cuántos días irán otra vez juntos?
A) 10 B) 20 C) 30 D) 35
E) 40
Answers
Answer:
Opción C, 30 días.
Step-by-step explanation:
Sabemos que:
Felipe asiste al cine cada 3 días
Miguel asiste cada 5 días.
Pedro asiste cada 6 días.
Los tres van juntos un día, ¿dentro de cuántos días irán otra vez juntos?
Los 3 volverán a ir juntos luego de N días, tal que N es el menor múltiplo común de 3, 5 y 6.
Como 6 es múltiplo de 3, podemos ignorar al 3, y solo considerar al menor múltiplo en común de 5 y 6.
Además, como podemos reescribir estos números como un producto de números primos, así obtenemos:
6 = 2*3
5 = 5*1
Estos números no comparten factores entre ellos, por lo que el menor múltiplo entre 5 y 6 es simplemente 5*6 = 30
Entonces podemos concluir que N = 30
Felipe, Pedro y Miguel irán juntos al cine nuevamente dentro de 30 días.
La opción correcta es C.
URGENT PLS HELP!!!
Work out the value of 3x + 5y
when x = -5 and y = 5
Answers
Answer:
10
Step-by-step explanation:
3x + 5y
Let x= -5 and y =5
3(-5) + 5(5)
Multiply first
-15 +25
Then add
10
Which expression is equivalent to this expression?
Answers
Answer:
a-4b
Step-by-step explanation:
you combine like terms, (-6b)+2b=-4
4a-3a=1a or just a
then you get your awsner a-4
the cost price of a refrigerator is $1850.00. A buyer who is given a discount of 5% for cash purchase will pay?
Answers
Answer:
1757.50
Step-by-step explanation:
First determine the amount of the discount
1850 * 5%
1850 * .05
92.50
Subtract this from the price
1850-92.50
1757.50
Answer:
$1757.5
Step-by-step explanation:
The way I like to do problems like this is by taking the % and putting it into this formula 100- x =
Then move it down to 2 decimal places and multiply it by the original cost. Then you have your answer.
the ratio of the ages of Charlie and Kelvin is 2:3 if Charlie is 8 year old ,how old is Kelvin
Answers
Answer:
Charlie would be 11
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Create proportional relationship to solve for Kevin's age
Let k = Kevin's age
2/3 = 8/k
Now solve for k
Cross multiply
24 = 2k
Divide both sides by 2
12 = k
If charlie is 8 then Kevin is 12
2.07 x 1.7= ________ by step explenation
Answers
Answer:
3.519
Step-by-step explanation:
2.07 x 1.7 = 3.519
What are the values of AB and DE in parallelogram
ABCD?
AB=?
PLEASE HELP
Answers
Answer:
AB=12
ED=6
Step-by-step explanation:
AB=CD=12
BC=AD=26
ED=26-20=6
Use the given area of the base and the height to find the
volume of the right rectangular prism, in cubic units.
Answers
Who knows the answer ?
Answers
Answer:
m angle CDE is 163 degree
Step-by-step explanation:
98+65=163
10% divided by 24% divided by 49%
Answers
Answer:
[tex]\frac{125}{147}[/tex]
Step-by-step explanation:
10% ÷ 24% ÷ 49%
1/10 ÷ 6/25 ÷ 49/100
5/12 ÷ 49/100
[tex]\frac{125}{147}[/tex]
If Amanda deposits 25% of her $180 paycheck into a savings account, what is the amount of her deposit?
Answers
Half of that to get 25% would be $45
Or just do 1/4 of 180=45
The answer is $45
Answer:
$45
Step-by-step explanation:
[tex]180 \times 25\%[/tex]
[tex]180 \times \frac{25}{100} [/tex]
[tex] \frac{18 \times 25}{10} [/tex]
[tex] \frac{450}{10} [/tex]
[tex]45[/tex]
The PRODUCT of 25 and x.
Answers
Answer:
25x
Step-by-step explanation:
25•x is 25x.
Until you know what x is you cannot do anything
Once you find out what x is you can plug in the number in the x space to get 25•__
I hope this helped!
A researcher wants to assess the difficulty of test questions in an algebra class at a high school. To test it, he takes one question from each test, each week in the first semester. In statistical language, each test question is part of the:
Answers
Answer:
Population
Step-by-step explanation:
The sample is taken from the population
Each test question should be the part of the population.
What is the population?A population in terms of statistics refers to a group of people that could be identified for the motive of data collection and analysis. To received the information about a large population, data should be normally gathered from a sample.
learn more about algebra here: https://brainly.com/question/14026683
Ignore the fact that this is answered, im not sure if the answer is right. What is the right answer?
Answers
Answer:
x = 5.5
Step-by-step explanation:
From rectangle KLMN, KM = 6x + 16, LN = 49
Find x
It can be seen that KM and LN are both equal diagonals in the rectangle.
Therefore,
KM = LN
6x + 16 = 49
6x = 49 - 16
6x = 33
Divide both sides by 6
x = 33/6
x = 5.5
If 24 - 2x = 19 + 3x, then x =
Answers
Answer:
1 =x
Step-by-step explanation:
24 - 2x = 19 + 3x
Add 2x to each side
24 - 2x+2x = 19 + 3x+2x
24 = 19 +5x
Subtract 19 from each side
24-19 =19+5x-19
5 = 5x
Divide by 5
5/5 = 5x/5
1 =x
Pat was shopping and found a
jacket with the original price of
$120 on sale for $12. What was
the percent decrease in the
cost? %
Hint: Change over original
Answers
Answer:
91.7%
hope I helped
Sarah and Kell have stickers in a ratio of 2:4.
Together they have a total of 48 stickers. Use
the tape diagram to represent how many
stickers each girl has.
Directie
questi
For a
fo
ро
Sarah
Kelly
Answers
Answer:
kelly has 16 stickers and sarah has 8
Step-by-step explanation:
If you fail two semesters will you be held back?
Answers
umm...... No because 1 haven't give any semester
The value of a car is deprecting at the rate of 12% Find the correct value of car when cost of car was rs 350000
please i need help
Answers
Answer:
The cost of the car is $ RS 308,000.
Step-by-step explanation:
Given that the value of a car is deprecting at the rate of 12%, to find the correct value of car when cost of car was $ RS350,000 last year, the following mathematical calculation must be performed:
100 - 12 = 88
88/100 = 0.88
350,000 x 0.88 = X
308,000 = X
Therefore, the cost of the car is $ RS 308,000.
4x - 2y + 2x =
I don't know the answer
Answers
Answer:
6x -2y
Step-by-step explanation:
4x - 2y + 2x
Combine like terms
4x +2x - 2y
6x -2y
Answer:
6x - 2y
Step-by-step explanation:
Add 4x and 2x
6x - 2y
Hope this helps!
If you need more help with these types of equations, don't be afraid to reach out!
What’s the triangle similarity theorem?
Answers
Answer:If a segment is parallel to one side of a triangle and intersects the other two sides, then the triangle formed is similar to the original and the segment that divides the two sides it intersects is proportional
Step-by-step explanation:
Which solid has a great volume
Answers
Answer:
The question is imcomplete. I need a diagram of some sort to help you out.
What is the height of a rectangular prism with a volume of 60 cubic feet, a length of 3 ft and width 4 ft?
Answers
Answer:
5 feet
Step-by-step explanation:
Find the distance from point P to RQ
Answers
Answer:
option A : about 2.8 units
Step-by-step explanation:
To find the distance from P to RQ , Find the distance from ( 1 , 1) to (3 , 3).
[tex]Distance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
[tex]= \sqrt{(3-1)^2 + (3-1)^2}\\\\= \sqrt{2^2 + 2^2 }\\\\= \sqrt{4 + 4 }\\\\= \sqrt{8}\\\\=2\sqrt{2}[/tex]
= 2.83 units
Answer:
A
Step-by-step explanation:
Remark
The distance you want is the point P to the (3,3). Then two lines meet as these two do, the shortest distance is the right angle distance. And that is how distance is defined.
Formula
d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )
Givens
x2 = 1
x1 = 3
y2 = 1
y1 = 3
Solution
d = sqrt( (1 - 3)^2 + (1 - 3)^2 )
d = sqrt( (-2)^2 + (-2)^2 )
d = sqrt ( 4 + 4)
d = sqrt(8)
d = 2√2
d = 2.8
someone help me pleaseeeeee
Answers
Answer:
D
Step-by-step explanation:
All parts of the circle have a star, meaning that Andrea has a 4/4 or 1 probability of landing on a part that has a star.