Answer:
[tex]1-\cos \left(x\right)[/tex]
Step-by-step explanation:
[tex]\frac{\sec \left(x\right)\sin ^2\left(x\right)}{1+\sec \left(x\right)}[/tex]
Use the identity: [tex]\sec \left(x\right)=\frac{1}{\cos \left(x\right)}[/tex]
[tex]\frac{\frac{1}{\cos \left(x\right)}\sin ^2\left(x\right)}{1+\frac{1}{\cos \left(x\right)}}[/tex]
[tex]\frac{\frac{1}{\cos \left(x\right)}\sin ^2\left(x\right)}{\frac{\cos \left(x\right)+1}{\cos \left(x\right)}}[/tex]
[tex]\frac{\frac{\sin ^2\left(x\right)}{\cos \left(x\right)}}{\frac{\cos \left(x\right)+1}{\cos \left(x\right)}}[/tex]
Divide them using [tex]\frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\times d}{b\times c}[/tex]
[tex]\frac{\sin ^2\left(x\right)\cos \left(x\right)}{\cos \left(x\right)\left(\cos \left(x\right)+1\right)}[/tex]
Cancel cos(x):
[tex]\frac{\sin ^2\left(x\right)}{\cos \left(x\right)+1}[/tex]
Use the identity: [tex]\sin ^2\left(x\right)=1-\cos ^2\left(x\right)[/tex]
[tex]\frac{1-\cos ^2\left(x\right)}{1+\cos \left(x\right)}[/tex]
[tex]\frac{-\left(\cos ^2\left(x\right)-1\right)}{1+cos(x)}[/tex]
Use the difference of squares formula:
[tex]-\frac{\left(\cos \left(x\right)+1\right)\left(\cos \left(x\right)-1\right)}{1+\cos \left(x\right)}[/tex]
Cancel out 1+cos(x):
[tex]-\left(\cos \left(x\right)-1\right)[/tex]
Remove outer bracket:
[tex]-\cos \left(x\right)+1[/tex]
[tex]1-cos(x)[/tex]
can someone please solve this
Answer:
See below
Step-by-step explanation:
a) x² + 3x = x(x+3)b) 2x² - 8x = 2x(x -4)c) 6x + 9x³ = 3x(2 + 3x²)d) 12x³ - 4x² = 4x²(3x - 1)Solve the following problem. My bank account balance was $7676 and i withdrew amounts of $1369, $2618, and $937. What is my balance now?!??!
A rain gutter is made from aluminum sheets that
28 cm wide. The first step in forming a rain gutter is to lift the edges of the aluminum sheet to form right angles, as show in in the illustration below. The cross-section
area formed by the raised edges affects the water flow. This cross-section area, A, can be represented by the function A = x(28-2x) where x
represents the height of the raised edges.
1. To the nearest centimetre, determine the height of the raised edge, x cm, which will maximize the
transverse area.
Answer:
7 cmStep-by-step explanation:
For any quadratic function f(x)=ax²+bx+c given in form f(x)=a(x-h)²+k, where:
h=-b/2a and k=f(h) the point (h, k) is vertex of the function graph.
It means that k is maximum (if a<0) or minimum (if a>0) value of function and x=h is the x which will maximize function.
A(x) = x(28-2x) = 28x - 2x² = - 2x² + 28x ⇒ a = -2 , b = 28
h = -28/[2•(-2)] = 7
In a classroom, there are 12 boys and 6 girls. The teacher needs one student to take a note to the
office. What is the probability the teacher randomly picks a girl? Write your answer as a reduced fractior
Answer:
1/3
Step-by-step explanation:
There are 12 boys and 6 girls, meaning there are 18 students. The girls are 1/3 out of those 18.
If m/n = 3, what does 2n/m equal?
(Hard) A composite number n is called a Carmichael number bn−1 ≡ 1 (mod n) for every number b such ... Base case: When n = 2 the formula a + c ≡ b + d (mod m) was already given. ... The sequence goes 1, 3, 7, 15, 31,... guess that it is equal to 2n+1 − 1. ... Prove (now using induction on n) that fm|fmn for all n ≥ 1.
Answer:
That would be n[tex]\geq 1\\[/tex]
Step-by-step explanation:
Don elias es un agricultor de papas y va a vender sus productos a las bodegas de la central de abastos de su ciudad.Al preguntar el precio por kilo de la papa le informan que estaba a 18.30 pesos si en su camioneta lleva 2,675 kg ¿Cuanto dinero recibe por su venta?
Answer:
48,952.5 pesos
Step-by-step explanation:
Aquí en esta pregunta queremos calcular el monto a pagar por una mercancía, dado que se paga una cierta cantidad por kg de mercancía.
En la pregunta se nos dice que por kg de papa se paga 18.30 pesos Ahora, en el camión, hay 2.675 kg de patatas El monto a pagar por esto será;
la cantidad por kilogramo * número de kilogramos de patatas
= 18.30 * 2675 = 48,952.5 pesos
Someone help !! These are Absolute values & integers !!
Answer:
4,9,12,24,5,5,1,11,9,9
Step-by-step explanation:
those are the anwsers, in order
+ × += +
+ × -= -
- × - =+
ok
like 2 +[-3]
ok + × - = -
ok
like you subtract it 2+ [-3]
2-3 = 1
Find the distance between the points L(7,-1) and MC (– 2, 4).
The exact distance between the two points is
Answer:
d= 10.30
Step-by-step explanation:
Using distance formula:
d=√(-2-7)² + (4--1)²
d=√(-9)² + (5)²
d=√81 + 25
d=√106
d≈ 10.296
Answer:
Step-by-step explanation: not right
URGENT!!! James has $40 to spend. He wants to buy two tickets to a show. He has to spend $7 to get to where tickets are sold. The following inequality can be used to find out the highest price James can afford to pay for each ticket. 2r +7 23.5 Or> 16.5
Answer: If James has 40 to spend then he has 33 for the two tickets he also has to get back so thats 26.
Step-by-step explanation:
What are the new vertices of triangle QRS, shown, if the triangle is reflected across the line y = x, also shown? Question 6 options: A) Q′ = (–2,–3), R′ = (1,1), S′ = (2,–1) B) Q′ = (2,–4), R′ = (4,0), S′ = (3,–1) C) Q′ = (2,–5), R′ = (5,0), S′ = (2,–1) D) Q′ = (5,2), R′ = (0,5), S′ = (1,2)
Answer:
C
Step-by-step explanation:
Under a reflection in the line y = x
a point (x, y ) → (y, x ) , thus
Q(- 5, 2 ) → Q'(2, - 5 )
R(0, 5 ) → R'(5, 0 )
S(- 1, 2 ) → S'(2, - 1 )
The coordinates of the reflected point under a line y = x will be Q′ = (2,–5), R′ = (5,0), S′ = (2,–1).
What is a reflection of a point in coordinate geometry?The reflection of a point in coordinate geometry is the image formed concerning the x-axis, y-axis, or origin.
Under a reflection in the line y = x
A point (x, y ) has reflected point (- x, - y )
Thus,
The coordinates of the reflected point under a line y = x will be Q(- 5, 2 ) → Q'(2, - 5 )
The coordinates of the reflected point under a line y = x will be R(0, 5 ) → R'(5, 0 )
The coordinates of the reflected point under a line y = x will be S(- 1, 2 ) → S'(2, - 1 )
Thus, option C is the correct one.
Learn more about reflected ;
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26 divided by 5 1/2 I dont know!!
Answer:
4.727
Step-by-step explanation:
An easy way to think of something being divided by a fraction is by turning the fraction into a decimal. In this case, it's 5 1/2, which is the same as 5.5. So, you can just calculate 26 / 5.5, by hand, or on a calculator, and the answer is 4.727.
Hope this helps!
Hey there!☺
[tex]Answer:\boxed{4\frac{8}{11}}[/tex]
[tex]Explanation:[/tex]
[tex]26/5\frac{1}{2}[/tex]
Divide both fractions.
[tex]26/5\frac{1}{2}=\frac{52}{11}[/tex]
52/11 needs to be simplified so let's simplify it.
[tex]\frac{52}{11}=4\frac{8}{11}[/tex]
[tex]4\frac{8}{11}[/tex] is our final answer.
Hope this helps!
Is the following number rational or irrational?
6 1/2
Answer:
yes it is a rational number
Step-by-step explanation:
if we convert the mixed fraction into an improper fraction, we will get:
6 1/2 = 13/2
Recall that the definition of an Rational number is that it can be expressed as a division of two integers.
in our case, the numerator is 13 (which is an integer) and the denominator is 2 (which is also an integer)
hence according to our definition it is a rational number
The mixed fraction number 6 1/2 is a terminating number. Then the number is a rational number.
What is a rational number?If the value of a numerical expression is terminating then they are the rational number then they are called the rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.
The mixed fraction number is given below.
⇒ 6 1/2
Convert the mixed fraction number into the fraction number. Then we have
⇒ 6 1/2
⇒ 6 + 1/2
⇒ (12 + 1)/2
⇒ 13/2
Convert the fraction number into a decimal number. Then we have
⇒ 13/2
⇒ 6.5
The mixed fraction number 6 1/2 is a terminating number. Then the number is a rational number.
More about the rational number link is given below.
https://brainly.com/question/9466779
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(14): Rounding.
3. What is 2,458 rounded to the nearest hundred?
0 3,000
0 2,500
2,400
0 2,000
Answer:2.500
Step-by-step explanation:
when rounding up to the nearest hundred you look at the tenths, if the tenths is 50 and above, you round up, when 49 and below, you round down.
Jasmine has 8 packs of candle wax to make scented candles. Each pack contains 14 oz of wax. Jasmine uses 7 oz to make one candle. How many candles can she make?
f(x) = x2. What is g(x)?
Answer:
I think ot a it been awhile sense I did algebra
Please answer all questions step by step PLEASE HELPP!!!! I'LL MARK YOU AS BRAINLIEST
I think your teacher's just asking for the multiplied out version, so there's no work to do
3. -2(3m + 9) = -6m - 11
4. -6(z-1) = -6z + 6
5. -(m +1) = -m - 1
6. -(x+4) = x = 4
7. b(a- 6) = ab - 6b
8. 7a(3b -2c + 4) = 21ab - 14ac +28a
9. 1/2(8x + 2) = 4x + 1
10. 2/3(1/4x -6) = 1/6x - 4
Answer:
3. -2(3m + 9) = -6m - 11
4. -6(z-1) = -6z + 6
5. -(m +1) = -m - 1
6. -(x+4) = x = 4
7. b(a- 6) = ab - 6b
8. 7a(3b -2c + 4) = 21ab - 14ac +28a
9. 1/2(8x + 2) = 4x + 1
10. 2/3(1/4x -6) = 1/6x - 4
Step-by-step explanation:
Help me with Rational and Irrational!
Rational Numbers: Any number that can be expressed as a fraction or ratio that may contain repeating decimals, or terminating decimals.
Irrational Numbers: Any number that cannot be expressed as a fraction or ratio that has non-repeating non-terminating decimals.
With this information, sort the given values into one of each of these categories.
Cheers.
Which of the following is a figure consisting of two rays with the same endpoint? Angle Circle Line Vertex
Answer:Angle
Step-by-step explanation:
The angle is the figure consisting of two rays with the same endpoint option (A) angle is correct.
What is an angle?When two lines or rays converge at the same point, the measurement between them is called an "Angle."
It is given that
The figures are:
AngleCircleLineVertexAs we know the circle can be described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
From the definition of the angle; two lines or rays converge at the same point.
Thus, the angle is the figure consisting of two rays with the same endpoint option (A) angle is correct.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture
Learn more about the angle here:
brainly.com/question/7116550
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Complete the following statement.
16/
= -8
16 / x = -8
First, let's divide both sides by x.
16 = -8x
Divide both sides by -8
-2 = x
16 / -2 = -8
Answer:
m = -2
Step-by-step explanation:
16 / m = -8
→ 16 = -8m
→ m = 16/-8
→ m = -2
Y is the midpoint of line segment XZ. The coordinates
of Y are (1, 8) and the coordinates of X are (-10, –12).
What are the coordinates of Z?
Answer:
work is attached and shown
in the himalaya mountains allong the border of tibet and nepal mount everest reaches a record height of 29,035 feet. How high is mount everest in miles? In kilometers? In meters?
ASK YOUR QUESTION
Answer:
Step-by-step explanation:
In miles it is 29,035 / 5280
= 5.5 miles.
In kilometers it is 5.5 / 0.621 kilometres
= 8.857 km.
= 8857 m.
Answer:
In miles it is 29,035 / 5280= 5.5 miles I umm belive
Step-by-step explanation:
A function f(x) is graphed.
What is the slope of the function?
m =
A.1
B.2
C.3
D.4
What is the y-intercept of the function?
b =
A.-2
B.-1
C.1
D.2
Which equation represents the graph of the function?
A.y=-x+2
B.y=x+2
C.y=2x+1
D.y=-2x+1
Answer:
B, C, C
Step-by-step explanation:
If Adam orders a book from Store X, how much will he owe to the nearest cent? The tax rate only applies to the cost of
the book.
Comparison of Online Bookstores
Store X
$17.00
6%
Store Y
$18.00
8%
Cost of book
Tax rate
Shipping.
HELP FAST! ILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST
10% of cost of the book
FREE
O $17.16
$19.72
$21.53
$27.20
Answer:
B) $19.72
Step-by-step explanation:
Sorry if I am late, hope you got a good grade:)
I got a 100 on the test for edge 2020
Answer:
B
Step-by-step explanation:
help dont understand like its confusing one minute u add then substract like...
Answer:
53 degrees
Step-by-step explanation:
< will be angle UwU (using pc)
m<JKM = 151 degrees is the total angle combining m<1 and M<2
therefore, we subtract m<2 from m<JKM to find m<1
Here is the equation:
m<JKM = m<1 + m<2
151 = m<1 + 98 (substitute)
53 = m<1 (simplify the like term so we subtracted 98 on both sides)
hope this helps!
Flavio is driving along a highway at a speed of 30 meters per second. If Flavio drives for 2 hours at this speed, how many miles
will he travel? Round to the nearest whole number. (1 point)
A.60
B.134
C.67
D.37
Answer:A.60
Step-by-step explanation:
Answer:
b.134
Step-by-step explanation:
1609 meters in every mile
30x60=1800 meters in one minute
1800x60=108,000 meters every hour
108,000x2=216,000 divide that by 1609 .216,000 divided by 1609=134.2449
A landscaping company is laying a triangular flower bed. The height of the trangle is 15ft. What lengths of the base will make the area at least 210ft squared?
Answer:
28 ft
Step-by-step explanation:
The height of the triangle = 15 ft
The least required area A = 210 ft^2
We know that the area of a triangle = 1/2bh
Where
b is the base
h is the height
Substituting, we have
210 = 1/2 x b x 15
210 = 15/2 x b
420/15 = b
b = 28 ft
what is 3n + 12? im so confused
please help I need help
Answer:
its option 3;92667
Step-by-step explanation:
6 and 8 is 68 so 9 2667 its 92667
If p(x) = 5(22 +1) + 16, what is the value of p(11)? O A. 690 O B. 736 O C. 622 O D. 626
Answer: 626
Step-by-step explanation:
Can someone plz help ☹️☹️☹️
Answer:
35
Step-by-step explanation:
x=3x-70
because corresponding angles are congruent
Solve the equation to find x.