Answers
Answer:
x = 0
Simplify — x/ 2
x ((((cs•(c2))•x)-2c3sx2ot)+((co•(t2))•x))-((ta•(n2))•—) = 0 2
xtan2 ((((cs•(c2))•x)-2c3sx2ot)+((co•(t2))•x))
Equivalent Fraction:
Rewrite the whole as a fraction using 2 as the denominator :
-2c3sx2ot + c3sx + cxot2 (-2c3sx2ot + c3sx + cxot2) • 2 -2c3sx2ot + c3sx + cxot2 = 0
Proved Step by step below.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
The given expression is
csc² (x) - 2csc(x) cot(x) + cot² (x) = tan² (x/2)
Proceed LHS
csc² (x) - 2csc(x) cot(x) + cot² (x)
⇒ (1/sin²(x) ) - 2(1/sin(x) )(cos(x)/sin(x)) + (cos(x)/sin(x))²
⇒ (1 - 2cos(x) + cos(x)²)/sin(x)²
⇒ (1 - 2cos(x) + cos(x)²)/sin(x)²
⇒ (1 - cos(x))²/sin(x)²
⇒ (1 - cos(x))²/sin(x)²+
⇒ [(1 - cos(x))/sin(x)]² [ since tan(x/2) =(1 - cos(x))/sin(x)]
⇒ [ tan(x/2) ]²
⇒ tan²(x/2) = RHS
Hence proved.
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Related Questions
(iv). Solve: 2x⁴ - 5x³ + 7x - 3 when x = 2.
Please help me..
Answers
Step-by-step explanation:
[tex]\longrightarrow\sf{ p(x) = 2{x}^{4} - 5{x}^{3} + 7x - 3}[/tex]
Now, substituting the value of x in equation, we get.[tex]\longrightarrow\sf{ p(2) = 2({2})^{4} - 5{2}^{3} + 7\times 2 - 3}[/tex]
[tex]\longrightarrow\sf{ 2\times 16 - 5\times 8 + 14 - 3}[/tex]
[tex]\longrightarrow\sf{ 32 - 40 + 14 - 3}[/tex]
[tex]\longrightarrow\sf{ - 8 + 14 - 3}[/tex]
[tex]\longrightarrow\sf{ + 6 - 3}[/tex]
[tex]\longrightarrow\sf{ 3 }[/tex]
Answer:
Step-by-step explanation:
f(x) = 2x⁴ - 5x³ + 7x - 3
f(2) = 2(2^4) - 5(2^3) + 7(2) - 3
f(2) = 32 - 40 + 14 - 3
f(2) = 3
The graph below shows what happens when x = 2 and y = 2x⁴ - 5x³ + 7x - 3
Notice that the graph shows the same intersect point (2,3) as what we got when putting x = 2 into the equation.
What is 2(3x+7)=-49+39
Answers
Answer:
x = -4
Step-by-step explanation:
2(3x + 7) = -49 + 39
6x + 14 = -10
6x = -10 - 14
6x = -24
x = -4
Checking answer: 2(3•-4+7) = -10
-49+39 = -10
The temperature in Doha, Qatar on 1 June is 40°C. Over
the next two days this temperature increases by 10%
followed by a decrease of 10%. Find the temperature in
Doha on 3 June.
Answers
Answer:
39.6°C
Step-by-step explanation:
10% of 40°C is 40 × 10/100
=4
temp on 2 June = 40+4 = 44°C
now 10% of 44°C is 44 × 10/100
=4.4
temp on 3 June = 44 - 4.4 = 39.6°C
Evaluate.
(w2x−3)÷10⋅z when w=−6, x = 1.2, and z=−6/7
Enter your answer as a simplified mixed number in the box.
Answers
Step-by-step explanation:
W=-6, x=1.2, and z=-6/7
(W²x-3)÷10-z
we substitute
((-6²)(1.2)-3)÷10-(-6/7)
((-36)(1.2)-3) ÷10-(-6/7)
(-43.2-3) ÷10(6/7)
(-46.2)÷60/7
-46.2÷60/7
-46.2*7/60
-46.2/1*7/60
-323.4/60
-5.39
Required value of (w²x−3)÷10⋅z when w=−6, x = 1.2, and z=−6/7 is (-4.69)
What is the value of of (w²x−3)÷10⋅z when w=−6, x = 1.2, and z=−6/7 ?
We know,
By BODMAS rule,
B - Bracket
O - Of
D - Division
M - Multiplication
A - Addition
S - Subtraction
We should maintain the following sequence,
Bracket - Of - Division - Multiplication - Addition - Subtraction
We are applying BODMAS rule.
Here,[tex]( {w}^{2} x - 3) \div 10 . z[/tex] and w=−6, x = 1.2, and z=−6/7
We are putting value of w,x,z in given expression and get
[tex]( {( - 6)}^{2} \times 1.2 - 3) \div 10 ( - \frac{6}{7} ) \\ = -(36 \times 1.2 - 3) \div \frac{60}{7} \\ = -(43.2 - 3) \div \frac{60}{7} \\ = -40.2 \div \frac{60}{7} \\= -40.2 \times \frac{7}{60} = -4.69[/tex]
Therefore, Required value of the given term is (-4.69)
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The coordinates of a reflected point is (9, 4). What were the coordinates of the original point if the point was reflected over the y-axis? Explain.
Answers
Answer:
The coordinates of the original point would be (-9,4). This is because, by reflecting over the way y-axis, the point is moving across the x-axis and therefore, makes the x-coordinate negative.
Write an equation in Point-Slope Form that passes through the points (2,-3) & (4,7)
Answers
Answer:
[tex]y=5x-13[/tex]
Step-by-step explanation:
Using the graph starting at -13 and going up 5 and over right 1 continuously, it tends to pass 2,-3 and 4,7.
0.5 : 3 (ratio) in its simplest form
Answers
Answer:
1:6
Step-by-step explanation:
5 divided by 5 and 30 divided by 6
5:30
1:6
5/30 = 1/6
Ans: 1:6
HELP PLS I’LL GIVE BRAINLIEST AND A THANKS!
A chef preheats an oven. It starts at room temperature, 68°F, and heats up 23°F per minute.
Write an equation that shows how the oven temperature in °F, y, depends on the number of
minutes it has been preheating, X.
y =
I
Submit
Answers
(23 F for every minute) + 68 F as the starting point
The equation showing the variation of the temperature would be y=(23x) + 68.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that A chef preheats an oven. It starts at room temperature, 68°F, and heats up to 23°F per minute.
The equation will be written as:-
y = 23x + 68
Here x is the time of preheating.
Therefore, the equation showing the variation of the temperature would be y=(23x) + 68.
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Assuming the scale drawing of the swimming pool is 10 cm long and 5 cm wide, how long and how wide is the actual swimming pool?
Answers
Answer:
50 ft by 15
Step-by-step explanation:
Solve the equation for s.
s2 = 10,000
is it 5,000 or 100?
Answers
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]s = \pm 100[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
I am assuming that the equation given is:
[tex]s^2 = 10,000[/tex]
⸻⸻⸻⸻
[tex]s^2 = 10,000\\\rule{150}{0.5}\\\rightarrow \sqrt{s^2}= \sqrt{10,000}\\\\\rightarrow s = \boxed{\pm 100}\\\rule{150}{0.5}[/tex]
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Nathaniel is building a rectangular shed. The length of the shed is 5 feet less than 3 times the width. The perimeter of the shed is 158 feet. What is the width of the shed?
Answers
Answer:
w = 21 feet
Step-by-step explanation:
The width of the given rectangular shed is such that the length of the shed is 5 feet less than 3 times the width formed the perimeter of 158 feet is 21 feet.
What is a rectangle?A rectangle is a geometrical figure in which opposite sides are equal.
The angle between any two consecutive sides will be 90 degrees.
Area of rectangle = length × width.
Let's say the length of a rectangle is L while the width is W.
According to the given, L = 3W - 5
The perimeter of the rectangle is given as 2( length + width)..
Perimeter = 2(L + W)
2(3W - 5 + W) = 158
4W - 5 = 79
W = 21 feet.
Hence "The width of the given rectangular shed is such that the length of the shed is 5 feet less than 3 times the width formed the perimeter of 158 feet is 21 feet".
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PLS HELP WILL MARK BRAINLIEST!
Answers
Answer:
25 - n
Step-by-step explanation:
n is a variable. It can represent any number. For example, 5 years ago, Mario would be 20 years old since 25-5 is 20.
So, if n is 8, you have to do 25 - 8 to find the answer to how old Mario was 8 years ago.
So his age n years ago, is 25 - n.
Hope this helps!
what is 5 divided by 8,350 (long division)
Answers
Answer:
0.625
the pictures I attached are the work. the pictures are in order from 1 to 5 in red.
45c-60=75 what is the value of c
Answers
Answer:
[tex]45c - 60 = 75 \\ 45c = 75 + 60 \\ 45c = 135 \\ \\ c = \frac{135}{45} \\ \\ c = 3[/tex]
I hope I helped you^_^
Aidan practiced his foot skills during soccer practice. He began at the center
line, dribbled the ball 6 yards forward and 9 yards back, then 3 yards forward.
How far from the starting line was Aidan when he ended the drill?
Answers
Answer:
Aidan traveled 0 yards from the starting line
Step-by-step explanation:
Set up problem: 6-9+3
Solve
Hope this help! Have a great day!!
You can solve the equation 2x – 3 = 1 by graphing y = 2x – 3 and y = 1 and finding their point of intersection. Use the drop-down menus to complete the statements below.
Answers
Answer:
2 and it is the solution to both
Step-by-step explanation:
i just did it lol
The point of intersection of y = 2x – 3 and y = 1 is (2,1).
Here, we have,
given that,
the equations are:
y = 2x – 3 ....1
and y = 1 .....2
now, we have to solve them.
so, putting the value of y from 2, in 1,
we get,
2x – 3 = 1
or, 2x = 4
or, x = 2
so, we have,
their point of intersection is (2,1).
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Rút gọn biểu thức sau
(2/2-√5 - 2/2+√5):√20
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
let's solve for value of (2/2-√5 - 2/2+√5) :
[tex] \dfrac{2}{2 - \sqrt{5} } - \dfrac{2}{2 + \sqrt{5} } [/tex][tex] \dfrac{2(2 + \sqrt{5} ) - 2(2 - \sqrt{5} )}{ {2}^{2} - 5} [/tex][tex] \dfrac{4 + 2 \sqrt{5} - 4 + 2 \sqrt{5} }{4 - 5}[/tex][tex] \dfrac{4 \sqrt{5} }{ - 1} [/tex][tex] - 4 \sqrt{5} [/tex]now, let's simply the ratio :
[tex] - 4 \sqrt{5} : \sqrt{20} [/tex][tex] \dfrac{ - 4 \sqrt{5} }{ \sqrt{20} } [/tex][tex] \dfrac{ - 4}{ \sqrt{4} } [/tex][tex] - \sqrt{4} [/tex]Therfore , the required ratio is :
[tex] - \sqrt{4} :1[/tex]find the equation of a line that is parallel to y= 4-x and cuts the Y axis at (0,1)
Answers
Answer:
y=-x+1
Step-by-step explanation:
y=-x+4
Substitute (0,1)
1=0+1
-1 is the gradient, if parallel then the gradient stays the same
Answer:
y = - x + 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept
y = 4 - x , that is y = - x + 4 ← in slope- intercept form
with slope m = - 1
The slope crosses the y- axis at (0, 1 ) ⇒ c = 1
y = - x + 1 ← equation of parallel line
what's 58 divided by 78 will mark brainliest
Answers
The Answer will be: 1.3
Step-by-step explanation:
when 58 is divided by 78 the answer comes out to be 0.7435
58/78 = 0.7435.
hope this helps you, my dear.
Bricks are stacked according to the pattern shown below.
Each row contains one more brick than the row above it.
Part A
Determine a quadratic function to model the total number of bricks in the stack,
f(x), given a number of rows, m.
Answers
Answer:
Part A
The Quadratic Function to model the total number of bricks the stack is f(x) = x²
Part B
The number of bricks we will have for 50 rows is 2500 bricks
Step-by-step explanation:
Part A
Let the Quadratic Function to model the total number of bricks the stack, f(x), where x is the number of rows be f(x) = a·x² + b·x + c
We have;
When x = 0, f(x) = 0, therefore, f(0) = a×0² + b×0 + c = 0 + 0 + c = 0
∴ c = 0
When x = 1, f(x) = 1, therefore, f(1) = a×1² + b×1 + 0 = 1
∴ a + b = 1...(1)
When x = 2, f(x) = 4, therefore, f(2) = a×2² + b×2 = 4
∴ 4·a + 2·b = 4...(2)
Multiply equation (1) by 2, and subtract it from equation (2) gives;
4·a + 2·b - 2×(a + b) = 4 - 2 × 1
2·a = 2
a = 1
From equation (1), we have;
b = 1 - a = 1 - 1 = 0
b = 0
∴ f(x) = a·x² + b·x + c = 1·x² + 0·x + 0 = x²
Therefore, the Quadratic Function to model the total number of bricks the stack, f(x), where x is the number of rows be f(x) = x²
Part B
If there are 50 rows in the stack, then we have, x = 50
Therefore;
f(50) = 50² = 2500
The number of bricks we will have for 50 rows is f(50) = 2500 bricks
(just found it on brainly)
You will pay tax on a purchase of $27.89. The tax
rate is 6.5%. How much will your total be?
Answers
27.89 x 1.065= 29.70!
Which set of fractions is ordered from least to greatest?
Answers
Answer:
answer is A
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
The bigger the denominator is the samller the fraction is.
Ex:[tex]\frac{1}{32}[/tex] is way smaller than [tex]\frac{1}{3}[/tex]
I need help! And fast !!!!
Answers
Answer:
the answer is 12
Step-by-step explanation
i figured out that 12 times 20 is 240 so i multiplied all of the numbers by 12 and that's how i got my answer
What is an equation of the line that passes through the points (0, -1)(0,−1) and (6, 1)(6,1)?
Answers
[tex]slope = y2 - y1 \div x2 - x1[/tex]
[tex]1 - - 1 \div 6 - 0[/tex]
[tex]2 \div 6[/tex]
[tex]1 \div 3[/tex]
[tex]y = mx + c[/tex]
[tex]1 = 1 \div 3 \times 6 + c[/tex]
[tex]1 = 2 + c[/tex]
[tex]c = 3[/tex]
[tex]y = 1 \div 3x + 3[/tex]
please i need help with this
Answers
Answer:
=6^7-5
=6²
plz mark me as brainliest
Answer:
36
67
65
=
67
65
=
6*6*6*6*6*6*6
6*6*6*6*6
=6*6
=62
=36
An iPhone costs £699 in London, €799 in Paris and $1,099 in New York. Using £1 = €1.13 and £1 = $1.37, state the lowest price of the iPhone in £. Give your answer to 2 dp.
Answers
Answer:
£699 in London
£902.87 in Paris
£1505.63 in New York
The lowest price of the iPhone is £699 in London.
HELLPPPP WILL GIVE BRAINLIEST
Answers
Answer:
[tex]\frac{-1+-\sqrt{41} }{4}[/tex] (Third Option)
Step-by-step explanation:
Step 1: Use quadratic formula with a = 2, b = 1, c = -5.
[tex]x = \frac{-b+-\sqrt{b^2-4ac} }{2a}[/tex] [tex]x = \frac{-(1)+-\sqrt{(1)^2-4(2)(-5)} }{2(2)}[/tex] [tex]x = \frac{-1+-\sqrt{1-8(5)}}{4}[/tex] [tex]x = \frac{-1+-\sqrt{1-40} }{4}[/tex] [tex]x = \frac{-1+-\sqrt{41} }{4}[/tex]Therefore, the answer is the third option, [tex]\frac{-1+-\sqrt{41} }{4}[/tex].
A website sells a dress at £50 and shoes at £35.
The website has an offer:
Buy a dress and shoes together and get
1
5
off the price.
There is also a shipping and handling charge of £6 added at the end, after any discount.
If Ruth buys both a dress and shoes, how much will she actually pay?
Answers
Answer:
$74
Step-by-step explanation:
1/5 of 85 is 17
85-17=68
68+6=74
Akiba Ellis deposits the following in her checking account: 6 five-dollar bills, 5 two dollar bills, 12 one dollar bills, 9 half dollars, 6 quarters, 42 dimes, 10 nickels, 15 pennies, and a check for $97.23. what is her total deposit?
Answers
Answer:
$106.08
Step-by-step explanation:
Given:
6x $5.00
5x $2.00
12x $1.00
9x= 0.50
6x25 cent
42x10 cent
10x5 cent
15=15cent
$97.23
----------------------------------------------------------------------------------
6 five dollar bill is $30.00
so 5 two dollar bill is $10.00
12 one dollar bills is $12.00
9 half dollar bill mean 0.50 cent since it Half and that would make $4.50
6 quarter so 6x25 which equal $1.50
42 dimes and dimes =10 cent so 42x10 which equal $4.20
10 nickels and nickels = 5 cent so 10x5=0.50
15=15 pennies
-------------------------------------------------------------------------------------
30.00+10.00+12.00+4.50+1.50+4.20+0.50+0.15+97.23 =
$106.08 Total Deposit
What's a distributive property equation the =3
Answers
Answer:
4/16 ( 1 + 11) = 3
could be many answers as fractions see below
The last fraction seems more likely out the three or make it harder fraction.
Step-by-step explanation:
1/2 (2 + 4) = 3 as 1/2 of 4 is 2 1+2 = 3
or
1/4 (4 + 8) = 3 as 1/4 of 8 is 2 1+2 = 3
or
3/4 ( 2 + 2) = 3 as 3/4 of 2 is 1 1/2 1.5 + 1.5 = 3
or harder fraction
4/16 ( 1 + 11) = 3