Answer:
Hello,
Step-by-step explanation:
we must first remember that:
[tex]\boxed{sin(5x)=5sin(x)-20*sin^3(x)+16*sin^5(x)}\\\\[/tex]
Let say t=sin(x)
[tex]sin(x)+cos(x)=1.4\\\\t+\sqrt{1-t^2}=1.4\\\sqrt{1-t^2}=1.4-t\ we\ square\\1-t^2=1.4^2+t^2-2.8*t\\2t^2-2.8*t+0.96=0\\\Delta=2.8^2-4*2*0.96=0.16=0.4^2\\\\t=\dfrac{2.8-0.4}{4} =0.6\ or\ t=\dfrac{2.8+0.4}{4}=0.8\\\\t^3=0,216\ or\ t^3=0,512\\\\t^5=0,07776\ or\ t^5=0,32768\\\\\boxed{sin(5x)=5*0.6-20*0.216+16*0.07776=-0,07584}\\\\or\\\\\boxed{sin(5x)=5*0.8-20*0.512+16*0.32768=-0,99712}[/tex]
If side A is 10 inches long, and side B is 24 inches, find the length of the unknown side.
Step-by-step explanation:
Right Triangles and the Pythagorean Theorem. The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2 , can be used to find the length of any side of a right triangle.
V= pi r2h rectangular prism cylinder cone sphere
Answer:
Step-by-step explanation:
rectangular prism=lwh
cylinder=πr²h
cone=1/3 πr²h
sphere=4/3 πr³
WILL GIVE BRAINLIEST TO THE FIRST CORRECT ANSWER!!!
Find the total surface area.
A. 731 cm²
B. 770 cm²
C. 649 cm²
D. 900 cm²
Answer:770
Step-by-step explanation:
There are a total of 6 faces, so we shall calculate the area of each face then add them
=(11×12) +(11×12) +(11×11)+(11×11)+(11×12)+(11+12)
=770cm^2
The total surface area of the given box will be 770 cm² hence correct option will be option (B).
What is surface area?The quantity of space enclosing a three-dimensional shape's exterior is its surface area.
In another meaning, if we say side square then it is an area of the square but for a cuboid, there are 6 faces so the surface area will be external to all 6 surfaces area.
Given that the box has 6 faces with sides
2 face has dimension = 11cm and 12 cm
2 face has dimension = 11cm and 11cm
2 face has dimension = 11cm and 12 cm
Total surface area = 2(11 × 12) + 2(11 × 11) + 2(11 × 12) = 770 cm²
Hence, the total surface area will be 770 cm².
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For f(x)=1/x^2-3, substitute h for x in the function to solve for f(h).
The required function of h i.e f(h) is expressed as
[tex]f(h) = \dfrac{1}{h^2-3}[/tex]
Substitution of a function means replacing a variable with another variable without changing the structure of such function. According to the function given, we can see that we are simply meant to replace x with h as shown below:
Given the expression
[tex]f(x) = \frac{1}{x^2-3}[/tex]
To get f(h), we will substitute f in place of x that is x -> h as shown
[tex]f(h) = \frac{1}{h^2-3}[/tex]
Hence the required function of h i.e f(h) is expressed as
[tex]f(h) = \dfrac{1}{h^2-3}[/tex]
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Write this quadratic equation in standard form.
Answer:
-[tex]x^{2} + 3x -8 = 0[/tex]
Step-by-step explanation:
[tex]x^{2} + x -8 - 2x = 0[/tex] [tex]x^{2} + 3x -8 = 0[/tex]Find two numbers nearest to 8888888 which are exactly divisible by 2915 explain step by step
Margaret drives 188 miles
with 8 gallons of gas. Find the unit rate
The unit rate will be "23.5 miles/gallon". In the below segment, a further solution to the given question is provided.
Given values in the question are:
Total distance,
= 188 miles
Total gas used,
= 8
Now,
⇒ The rate of gas consumption will be:
= [tex]\frac{Total \ distance}{Total \ gas \ used}[/tex]
By putting the given values in the above formula, we get
= [tex]\frac{188}{8}[/tex]
= [tex]23.5 \ miles/gallon[/tex]
Thus the above is the appropriate solution.
Learn more about gas consumption here:
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What is the coordinate of point P?
2.3
2.4
2.375
2.25
A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. The coordinate of point p on the given number line is 2.375. The correct option is C.
What is a number line?A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. It’s not a ruler, so the space between each number doesn’t matter, but the numbers included on the line determine how it’s meant to be used.
Given that there are 8 divisions between two whole numbers, now since the point P is on the third division. Therefore, the coordinate of point p will be,
Coordinate of point P = 2 + 3/8
=2 + 0.375
= 2.375
Hence, the coordinate of point p on the given number line is 2.375.
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Write an equation that expresses the relationship. Then solve the equation for B.
T varies directly as the cube of A and inversely as B.
T= what?
(Use k as the constant of variation.)
Answer:
kkkkkkkllllll
Step-by-step explanation:
llllllllllllllllllllllllll
Find the slope of the line through the pair of points. (7.-10) and (-6, -3)
Answer:
Fraction form: 7/-13
Decimal form:-0.53846153846154
HELP URGENT !!!!!!
what happens if the lines that are being cut by the transversal are not parallel
Please Help!!!
In the following expression, both A and B are variables that can take positive values.
A+2/B
Which of these actions will cause the expression's value to increase?
Choose 2 Answers
A.
Keeping A constant and increasing B
B.
Keeping A constant and decreasing B
C.
Increasing A and keeping B constant
D.
Decreasing A and keeping B constant
Answer:
B
kepping a constant and decreasing
ok us8wgwvehie9wywgwhwiw8wu
There is a circle with a center of 0,0 on a coordinate plane. There is one point on the circle's circumference in which the x:y ratio is 3:1. What is a possible coordinate?
Answer:
(3, 1)
Step-by-step explanation:
A circle with radius √10 and centre at (0, 0) will have a point (3, 1) on its circumference.
Can someone please help me solve the equation?
Subtracting 10 from the original equation will shift the graph down 10 units
The answer is D.
Is x - 0.30x equivalent to 0.70x?
hi
it's equal to as X = 1X
so 1X-0.3X = 0.7X
Answer:
yes
Step-by-step explanation:
as
x - 0.3x = 1×x - 0.3x = (1-0.3)x = 0.7x
A history teacher gives a 17 question True or false exam. In how many different ways can the test be answered if the possible answers are true or false or possibly to leave the answer blank?
Answer:
Step-by-step explanation:
if it's only true or false there are 2¹⁷=131072 outcomes
if it's true, false, or blank there are 3¹⁷=129140163 outcomes
I’m the triangle shown we can find the angle theta as follows.
Answer:
sin = opp/hyp
cos = adj/hyp
tan = opp/adj
ANSWER ASAP CORRECT ANSWER WILL GET BRAINLIEST PLUS 78 POINTS
9514 1404 393
Answer:
C) 462
Step-by-step explanation:
The presenters can be chosen 11C6 = 462 different ways.
__
If the teacher were concerned about the order of the presentations, the number of possibilities goes up to 11P6 = 332,640 different ways.
what term is greater than 50 in the sequence n^2/2
please help
Answer:
296
We start by multiplying 6 times 46, since the first 4 terms are already listed. We then add the product, 276, to the last listed term, 20. This gives us our answer of 296.
An airplane has an air speed of 700 kilometers per hour at a bearing of 30 degrees The wind velocity is 40 kilometers per hour from the west Use vectors to find the art speed of the plane Round to the nearest hundredth
Answer:
The red arrow shows the resultant vector. We have a Side Angle Side triangle ABC so can use The Cosine Rule:
a2=b2+c2−2bccosA
This becomes:
R2=7002+402−(2×700×40×cos45)
R2=491,600−39,597.9
R=672.3xkm/hr
This is the groundspeed of the aircraft.
To find θ we can use The Sine Rule:
sinCc=sinAa
This becomes:
sinθ40=sin45672.3
sinθ=0.04207
θ=2.41∘
This is known as the drift angle and is the correction the pilot should apply to remain on course.
The heading is the direction the aircraft's nose is pointing which is 000∘.
The track is the actual direction over the ground which is 357.6∘
An alternative method to this would be to separate each vector into vertical and horizontal components and add.
The resultant can be found using Pythagoras.
on a particular day, a man spent 12 minutes more driving to his office than driving home. His average speed from home to office is 12km/h and from office to home is 60m/h .How far is the man home to his office
Answer:
distance between home and office = 3 km
Step-by-step explanation:
reflect the x axis A B C D
Answer:
see explanation
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y ) → (x, - y ) , then
A (- 1, - 17 ) → A' (- 1, 17 )
B (0, - 12 ) → B' (0, 12 )
C (- 5, - 11 ) → C' (- 5, 11 )
D (- 6, - 16 ) → D' (- 6, 16 )
help me this EQUATION please help help help !
Solve for x^2=-25
Please help me
Answer:
Step-by-step explanation:
This is not possible over the real numbers system. You cannot take the square root of a negative number without ending up with imaginary solutions.
[tex]x^2=-25[/tex] and
[tex]x=\sqrt{-25}[/tex] In the world of imaginary numbers, the 2 solutions would be
x = 5i and x = -5i
Answer:
It should be x=5i-5i
Step-by-step explanation:
7. A 6 litre jug of lemonade contains 1.6 litres of lemon juice and the rest is water. How much lemon juice does a 1.5 litre bottle of lemonade contain?
Answer:
5.625 litres
Step-by-step explanation:
1. We have to find how many litres of of lemon juice does a 1 litre jug of lemonade contains :
6 litres ÷ 1.6 litres = 3.75 litres
2. How many litres of lemon juice does a 1.5 litre bottle of lemonade contain?
= 3.75 litres × 1.5 litres
= 5.625 litres #
Answer:
A 1.5 litre bottle of lemonade contains 0.4 litre of lemon juice
Step-by-step explanation
let x be the litre of lemon juice in 1.5 litre of lemonade
litre of lemon juice in 6 litre of lemonade = 1.6
so , [tex]\frac{6}{1.6} = \frac{1.5}{x}[/tex]
x = [tex]\frac{1.5 * 1.6}{6}[/tex]
x=[tex]\frac{2.4}{6}[/tex]
x = 0.4 litre
Which represents the inverse of the function f(x) = 4x?
h(x) = x+ 4
H(x) =x-4
h(x) = 3/4x
h(x) = 1/4x
Answer:
h(x)=1/4x
Step-by-step explanation:
function×inverse=-1
4x=-1
Answer:
h(x) = 1/4x
Step-by-step explanation:
y = 4x
x = 4y
1/4 x = y
Which expression represents the perimeter of the rectangle above? . 6x + 3. 10x + 6. 8x² + 6x. 12x + 6
There is no any image of rectangle
Which shapes are quadrilaterals?
1. Square
2. Kite
3. Rhombus
4. Parallelogram
5. Trapezoid
6. Rectangle
7. Quadrilateral
8. Acute isosceles triangle
9. Equilateral triangle
10. Isosceles trapezoid
Answer:
Square, Kite, Rhombus, Parallelogram, Trapezoid, Rectangle, Quadrilateral, Isosceles Trapezoid.
Step-by-step explanation:
Quadrilaterals are simply figures with exactly four sides. As you can see, the shapes listed all have four sides. Even an isosceles trapezoid (not to be confused with an isosceles triangle as the term is less commonly used then "isosceles triangle") as it is only a type of trapezoid.
Question 4 plz show ALL STEPS
Part (a)
Locate x = -1 on the x axis. Draw a vertical line through this x value until you reach the f(x) curve. Then move horizontally until you reach the y axis. You should arrive at y = 4. Check out the diagram below to see what I mean.
Since f(-1) = 4, this means we can then say
g( f(-1) ) = g( 4 ) = 4
To evaluate g(4), we'll follow the same idea as what we did with f(x). However, we'll start at x = 4 and draw a vertical line until we reach the g(x) curve this time.
Answer: 4==========================================================
Part (b)
We use the same idea as part (a)
f(-2) = 5
g( f(-2) ) = g(5) = 6
Answer: 6==========================================================
Part (c)
Same idea as the last two parts. We start on the inside and work toward the outside. Keep in mind that g(x) is now the inner function for this part and for part (d) as well.
g(1) = -2
f( g(1) ) = f(-2) = 5
Answer: 5==========================================================
Part (d)
Same idea as part (c)
g(2) = 0
f( g(2) ) = f( 0 ) = 3
Answer: 3The illustration below shows the graph of y as a function of x.
Complete the following sentences based on the graph of the function.
The y-intercept of the graph is the function value y=_____
The smallest positive x-intercept of the graph is located at x=_____
The greatest value of y is y=____ and it occurs when x=____
For x between x and x= 2 π the function value y___ 0
Answer:
below
Step-by-step explanation:
that is the solution above
