Answer:
Less than
Step-by-step explanation:
EX:
1/2 * 1/2 = 1/4
1*1 = 1
2*2 = 4
when you multiply two fractions, you get a fraction of a fraction.
simplify cos(2x)/ cos(x)-sin(x)
The value of the trigonometric expression cos(2x)/ [cos(x)-sin(x)] will be cos(x) + sin(x) thus option (C) is correct.
What is a trigonometric function?The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.
The trigonometric functions found in the four quadrants, as well as their graphs, domains, and differentiation and integration, will all be understood.
As per the given,
cos(2x)/ [cos(x)-sin(x)]
Since, cosx = cos²x - sin²x
cos(2x)/ [cos(x)-sin(x)] = (cos²x - sin²x)/[cos(x)-sin(x)]
Since, A² - B² = (A + B)(A - B)
(cos²x - sin²x)/[cos(x)-sin(x)] = [cos(x)+sin(x))(cos(x)-sin(x)]/[(cos(x)-sin(x))]
⇒cos(x) + sin(x)
Hence "Trigonometric expression cos(2x)/[cos(x)-sin(x)] value will be sin(x) + cos(x)".
For more information about the trigonometric function,
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find the square root of 3 upon 5 upto 2 decimal places
Answer:
Square root of 3 upon 5:
√3÷5
= 0.3464101615137
≈ 0.35 (corrected to 2 decimal places)
A quantity with an initial value of 510 decays exponentially at a rate of 0.05% every 7
years. What is the value of the quantity after 3.6 decades, to the nearest hundredth?
Answer:
508.69
Step-by-step explanation:
...
simplify: (13^2x+1 -5×169^x) / 9×169^x
[ 13^(2x + 1) - 5 × 169^x ] ÷ [ 9 × 169^x ] =
Expanding 1 from 13^(2x + 1 )
[ 13 × 13^(2x) - 5 × 169^x ] ÷ [ 9 × 169^x ] =
13 goes to the power of 2
[ 13 × 169^x - 5 × 169^x ] ÷ [ 9 × 169^x ] =
Factorize 169^x from both parts
[ ( 169^x ) × ( 13 - 5 ) ] ÷ [ ( 169^x ) × 9 ] =
Simplify 169^x
[ 1 × ( 13 - 5 ) ] ÷ [ 1 × 9 ] =
[ 13 - 5 ] ÷ [ 9 ] =
[ 8 ] ÷ [ 9 ] =
8 / 9
Find X in the given figures.
Simplify the expression. Write your answer in positive exponent form:
(1/4) ^3 x (1/4) ^7
Answer:
1/4¹⁰
Step-by-step explanation:
this is the the simplified version for the question
Carter wants to cover his bedroom window with a piece of plywood to prepare for an upcoming storm. The window measures 4 1/2 feet tall and 2 1/4 feet wide. Find the area of the window.
fast please
Answer:
Step-by-step explanation:
Basically you turn 1/2 into fourths, 1/2 = 2/4
After that you would multiply 4 2/4 x 2 1/4
Then you get 10.125 turned into a fraction is 81/8
Find the roots of the Equation 16+x^2=0
Answer:
x = 0 or x = - 16
Step-by-step explanation:
16+x^2=0
x ( x + 16 ) = 0
using the algebra rule a . b = a = 0 and b = 0
x = 0 or x = - 16
so the answer is x = 0 and x = -1 6
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What number makes the equation true?
Which expression is equivalent to (x^1/2y^-1/4z)^-2
Answer:
[tex]\sqrt{y}[/tex] ÷ xz²
Step-by-step explanation:
multiply the exponent of 'x' by -2 to get -1
multiply the exponent of 'y' by -2 to get 1/2
multiply the exponent of 'z' by -2 to get -2
= (x^-1)(y^1/2)(z^-2)
= 1/x · [tex]\sqrt{y}[/tex] · 1/z²
= [tex]\sqrt{y}[/tex] / xz²
A geometric sequence has the terms with values a5=58 and a10 = 440.4375.
Part A: Determine what the common ratio is.
Answer:
1.5
Step-by-step explanation:
58(r)^5 = 440.4375
r^5 = 440.4375 / 58
r^5 = 7.59375
r = 1.5
Hamad wants to buy a video game with a selling price of $55, on sale for 40% off. The sales tax in his state is 3.5%. How much will Hamad have to pay in all?
Answer:
34.16
Step-by-step explanation:
55x.40=22 discount
55-22=33 sales price
33x.035=1.16 sales tax
33+1.16=34.16 total price
Answer:
$33.75
Step-by-step explanation:
hope this helps
im timed help me pls
Answer:
2
Step-by-step explanation:
Lightning flashes and is followed by the sound of thunder. The formula that relates the time between seeing the lightning, hearing the thunder, and the distance from the storm is: t = 3y, where t=time (seconds) y= distance (kilometers) How far away is the lightning if you hear the thunder 8 seconds after you see the lightning?
Answer:
2 2/3 kilometers
Step-by-step explanation:
t = 3y
let t = 8
8 = 3y
Divide each side by 3
8/3 = 3y/3
8/3 = y
2 2/3 kilometers
Answer:
2 2/3 kilometers
Step-by-step explanation:
Find the sum of the three expressions and choose the correct answer.
-2u3v + 5uv - 1
7u3v - 2u2v2
5u2v2 - uv + 6
5 u3v + 3 u2v2 + 4 uv + 5
5 u3v - 3 u2v2 + 4 uv - 5
-5 u3v - 3 u2v2 + 4 uv + 7
Answer:
5 u³v + 3u²v² + 4 uv + 5
Step-by-step explanation:
4. Mrs. Hernandez drew a quadrilateral on the board.
What type of quadrilateral did Mrs. Hernandez
draw?
A. Rectangle
B. Trapezoid
C. Rhombus
D. Square
what is x-7=1 simplified?
Answer:
x = 8
Step-by-step explanation:
x-7=1
Add 7 to each side
x-7+7 = 1+7
x = 8
Answer:
x= 8
Step-by-step explanation:
collect like terms
x= 7+1
x= 8
find the area of a triangle with vertices A(1,4)B(1,7),C(4,7)
9/2 Sq. units is a Right answer...
Answer:
4.5 units²Step-by-step explanation:
Given ΔABC with vertices:
A(1,4), B(1,7), C(4,7)We observe that
AB is vertical segment with length:
7 - 4 = 3 unitsBC is horizontal segment with length:
4 - 1 = 3 unitsThe area:
A = 1/2bhA = 1/2(3)(3) = 9/2 = 4.5 units²100 points
If you tell me to use quizlet or give me a wrong answer or link you will be reported
[tex]\huge{ \mathbf{ \underline{ Answer }\: \: ✓ }}[/tex]
The sand we need to fill the cylinders is equal to the total volume of the six cylindrical posts .
Given terms ( common for each cylinder ) :
height (h) = 4 ftradius. (r) = 0.5 ft[tex] \large \boxed{ \mathrm{volume =\pi {r}^{2} h}}[/tex]
[tex]3.14 \times \dfrac{1}{2} \times \dfrac{1}{2} \times 4[/tex][tex] \mathrm{3.14 \: ft {}^{3} }[/tex]Since volume of each cylinder is equal, so total volume of six cylindrical post :
[tex]3.14 \times 6[/tex][tex] { \mathrm{18.84 \: ft {}^{3} }}[/tex]_____________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
5y + 1 = 31 what’s the solution of y
Answer:
y = 6
Step-by-step explanation:
5y + 1 = 31
Subtract 1 from each side
5y + 1-1 = 31-1
5y = 30
Divide by 5
5y/5 = 30/5
y = 6
Answer:
y = 6
Step-by-step explanation:
5y means 5 multiplied by something. 5y + 1 equals 31. So 5 multiplied by 6 equals 30 + 1 = 31, which is the given answer.
Triangle ABC is congruent to Triangle DEF. What corresponds with
Answer:
<E
Step-by-step explanation:
Answer:
∠E is the answer I believe
If i'm wrong correct me!!
(°◡°♡).:｡
Factor problems 9 - 12 by using the difference of squares method.
12. x2 + 100
A. (x + 10)(x – 10)
B. (-x + 10)(x – 10)
C. (x + 10)(x + 10)
D. This polynomial cannot be factored by using the difference of squares method.
E. (x - 10)(x – 10)
F. (-x + 10)(-x – 10)
Mara drew this net to find the surface area of a triangular prism. Which is the surface area of the triangular prism?
A.312
B.402
C.372
D.492
(Square cm)
Answer:
C.372
Step-by-step explanation:
A prism is a three dimensional shape with two identical shapes facing each other known as bases.
A triangular prism has two triangular bases and three rectangle.
From the net attached:
Area of triangle 1 = area of triangle 2 = (1/2) * base * height = (1/2) * 10 cm * 12 cm = 60 cm²
Area of rectangle 1 = Area of rectangle 2 = length * width = 13 cm * 7 cm = 91 cm²
Area of rectangle 3 = base * height = 10 cm * 7 cm = 70 cm²
Total surface area = Area of triangle 1 + Area of triangle 2 + Area of rectangle 1 + Area of rectangle 2 + Area of rectangle 3
Total surface area = 60 + 60 + 91 + 91 + 70 = 372 cm²
A bag contains 8 apples and 6 oranges. You randomly draw a piece of fruit from the bag, eat it, and than randomly draw another. What is the probability you draw and eat an apple than draw an orange?
Answer:
[tex]probability \ of\ choosing\ apple\ first = \frac{8}{14}\\\\probability\ of\ choosing\ orange\ second = \frac{6}{13}\\\\probability \ of \ choosing \ apple \ and \then \ orange = \frac{8}{14} \times\frac{6}{13} = \frac{24}{91}[/tex]
The souvenir stand sells hats, postcards, and magnets. They have twice as many postcards as hats, and 100 more magnets than postcards.
Let h represent the total number of hats. Write an expression in terms of h for the total number of items they have to sell.
Answer:
4h + 100
Step-by-step explanation:
h = total number of hats
postcards = 2h
magnets = h + 100
Add them all together:
h + 2h + h + 100 = 4h +100
someone please help me!!!!!!
Answer:
169×5=845
Step-by-step explanation:
ok now mark me brainlist
A person is 89-93 pounds depending on the day, 13 years old, and 5 foot tall. Is this an appropriate weight?
Answer:
I don't think so cause average in my town is 100 to 109
Answer:
I don't think so
Step-by-step explanation:
¯\_(ツ)_/ i can't tell you
0.54+13,500=?/100+13,500 help pls
Answer:
54
Step-by-step explanation:
Which ordered pair is a solution of this equation y = 80 – 8x?
Answer:
y = -8x + 80 This is the way I found the answer
The five members of the Garcia family each buy train tickets. During the train ride, each family member buys a boxed lunch for $6.00. If the total cost of the trip is $240, what is the price of each train ticket? Show me the equation and show me the steps to solve it and finish with a sentence describing what a train ticket costs.
Answer:
A train ticket costs $42
Step-by-step explanation:
5x + 30 = 240 (6 * 5 = 30, cost of lunch times 5 members of family)
5x = 240 - 30
5x = 210
x = 42
A train ticket costs $42.