Explanation:
On taking LHS
Cos[(3π/2)+θ]Cos(2π+θ)[Cot{(3π/2)-θ}+Cot(2π+θ)]
We know that
π = 180°
2π = 2×180° = 360°
3π/2 = (3×180°)/2 = 540°/2 = 270°
Now
LHS becomes
Cos(270°+θ)Cos(360°+θ)[Cot(270°-θ)+Cot(360°+θ)]
We know that
Cos (270°+θ) = Sin θ
Cos (360°+θ) = Cos θ
Cot (270°-θ) = Tan θ
Cot (360°+θ) = Cot θ
→ Sin θ Cos θ [Tan θ + Cot θ]
→ Sinθ Cosθ[(Sinθ/Cosθ)+(Cosθ/Sinθ)]
→ Sinθ Cosθ[(Sin²θ+Cos²θ)/(SinθCosθ)]
→ Sin θ Cos θ [1/(Sin θ Cos θ)]
Since Sin²θ+Cos²θ = 1
→ (Sin θ Cos θ)/(Sin θ Cos θ)
→ 1
→ RHS
→ LHS = RHS
Hence, Proved.
Here are the formulae that I have used:
→ π = 180°
→ Cos (270°+θ) = Sin θ
→ Cos (360°+θ) = Cos θ
→ Cot (270°-θ) = Tan θ
→ Cot (360°+θ) = Cot θ
Here are the Trigonometric Identities that I have used:
→ Sin²θ+Cos²θ = 1
Andrew is hiking in a mountainous area of a state park. Use the given key features to sketch a graph.
y-intercept: Andrew starts at an elevation of 0 feet.
Extrema: Andrew's maximum elevation is 800 feet.
Increasing: At the start of the hike, Andrew's elevation increases steadily for 30 minutes. Then he stops to rest for 5 minutes.
Decreasing: Andrew hikes back to his starting point for the final 20 minutes.
Using the features, a piece-wise function is defined, and the graph is sketched at the end of this answer.
A piece-wise function is a function that has multiple definitions, depending on the value of the input.
He starts at 0 feet, and reaches a maximum elevation of 800 feet in 30 minutes, with a steady(linear) increase thus, for the first 30 minutes, the definition is:
[tex]h(t) = \frac{800}{30}t, 0 \leq t < 30[/tex]
For the next 5 minutes, he stops to rest, at the maximum elevation of 800 feet, thus, the definition is:
[tex]h(t) = 800, 30 \leq t < 35[/tex]
For the final 20 minutes, he descends 800 meters, at a linear rate, thus:
[tex]h(t) = 800 -\frac{800(t-35)}{20} = 800 - 40(t - 35), 35 \leq t \leq 55[/tex]
Using these definitions, the graph is sketched at the end of this answer.
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is the answer C, E, A, B, or D?
Answer:
the answer is B hope this helps
please mark mw brainalist
Which number produces a rational number when multiplied by 1/2
Step-by-step explanation:
all odd numbers
that should be the answer
a shop only buys bananas with length between 13cm and 20cm. Estimate the fraction of the 80 bananas that the shop buys
Answer:
[tex]\frac{44}{80}[/tex]
Step-by-step explanation:
We know that the shop only buys Banana with lengths between 13 cm and 20 cm.
So, the fraction of the 80 bananas is actually a ratio between the y-values of each length (13 and 20 cm) and the total 80. First, let's see which y-values belong to each length.
Notice that 13 below to 20 at Cumulative Frequency. And 20 belongs to 62. So, the pairs are (13,20) and (20,62).
[tex]\frac{62-20}{80} =\frac{42}{80}[/tex]
Therefore the shop only buys 42 bananas out of 80, because those are between 13 cm and 20 cm.
Answer:
44/80
Step-by-step explanation:
How Do i get the correct answer for this?
Simple way :-
If a function has co-ordinates (x,y) then it's inverse has co-ordinates (y,x)
Now
(0,4)->(4,0)(1,6)->(6,1)(2,8)->(8,2)(3,10)->(10,3).The sum of the angles of a polygon is 900⁰ .How many sides does it have
Answer:
heptagon
Step-by-step explanation:
The window below has an area of 64 inches squared. What is the length of each side?
Answer:
The answer would be 8.
Step-by-step explanation:
how do you write y - 2 = -(x - 3) in slope-intercept form? A) y = x + 3 B) y = x - 1 C) y = -x + 5 D) y = -3x - 1
[tex]( - 2 \\ \times \frac{1}{5} )[/tex]
[tex] \times [/tex]
[tex] ( - 5 \frac{3}{4} )[/tex]
put the answer as a mixed number please
Answer:
Step-by-step explanation:
[tex](-2)*\dfrac{1}{5}*(-5\dfrac{3}{4})=(-2)*\dfrac{1}{5}*\dfrac{-23}{4}\\\\ = \dfrac{23}{5*2}\\\\=\dfrac{23}{10}\\\\=2\dfrac{3}{10}[/tex]
Sheila has investments totaling $8000 in two
accounts. The savings account pays 6% interest and the
other account is in bonds paying an interest rate of
11%. If the annual interest from the two investments
totaled $780, how much did she invest in each account?
The amount she invested in each account is:
$6,000 invested at 11%
$6,000 invested at 6%
Let x represent the amount invested at 11%
Hence:
.11x+.06(8000-x)=780
.05x+480=780
Collect like terms
.05x=300
Divide both side by .05x
x=300/.05
x=$6,000
Inconclusion the amount she invested in each account is: $6,000 invested at 11% and $6,000 invested at 6%.
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this is algebra 1 id appreciate it if you could help me thx!
Transpose for p
w = p + cg
Answer:
p = w - cg
Step-by-step explanation:
w = p + cg ( isolate p by subtracting cg from both sides )
w - cg = p
. Excel Secondary School wants to send its students for an educational trip and has found an organisation that is willing to sponsor up to an amount of $2 500 for the trip. Given that the cost of sending a student for the trip is $12, what is the maximum number of students the school can send for the trip if it relies only on the sponsorship?
Answer:
208 students I think that's the answer
negative2 - 7 is equvilent to
Answer:-5
Step-by-step explanation:
Answer:
-9
Step-by-step explanation:
-2 - 7
Picture a number line in your head, you begin at negative 2, which is less than 0 and you further go left 7 points, so you will end at -9
In football, the path that a defender must run to tackle the ball carrier is called the path of pursuit. If the ball carrier runs 40 yards to the end zone and the path of pursuit is 45 yards, how far apart were the ball carrier and defender when they started? Answer with appropriate precision. (Hint: Use the Pythagorean Theorem.)
Answer:
Step-by-step explanation:
The ball carrier and defender were 20.62 ft apart
Let the path the ball carrier runs = x and y = path of pursuit and L = distance between defender and ball carrier when they started.
x, L and y form a right angled triangle with y being the hypotenuse side of the triangle.
From Pythagoras' theorem,
x² + L² = y²
So, L² = y² - x²
L = √(y² - x²)
Since x = 40 yards and y = 45 yards,
#substituting the values of the variables into the equation, we have
L = √(y² - x²)
L = √(45² - 40²)
L = √(2025 - 1600)
L = √425
L = 20.62 ft
So, the ball carrier and defender were 20.62 ft apart
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find the area
(not to scale)
Answer: no
Step-by-step explanation: no
5x+6=61 Show Step By Step
Answer:
x=11
Step-by-step explanation:
5x+6=61
61-6=5x
55=5x
x=11
Doug entered a canoe race. He rowed 3 ½ miles in ½ hour. What is his average speed in miles per hour
Answer:
7 miles per hour
Step-by-step explanation:
3.5 times 2.
Solve for x.
X +1/2=3/4
O X = - 1/2
O X = 1/2
O X = -1/4
O X = 1/4
Can I get steps on how to solve this?
Answer:divided the total buy 9 and if I’m reading correctly the total is two
Step-by-step explanation:
What is the value of the correlation coefficient r of the data set?
Scatter Plot Correlation Data Table
−0.81
−1
0.66
0.81
in need of desperate help, lol not super desperate, just confused, thanks so much!
Answer:
Step-by-step explanation:
The km/minute is different for segment, so "The train does not always go . . ."
Tha average speed in km/minute of the 3 points is 3.2km/min. 10 minutes would be 32km.
===
Divide the cost by the number of people. It is $7/person in each case. The cost for each person appears to be the same. If Sam knew more math, he could charge each person $10 and end the evening $3/person richer. He would need at least 3 people to cover his own expense, and have $2 left for a tip to the attentive waitress who approved his strategy for profiting from his math skills.
The magnitude of an earthquake measured on the Richter scale is given by:
R(L) = log (l/l0), where l = amplitude.
Find the Richter scale rating of an earthquake with amplitude 1. 80 X 10 l0.
HELP ME PLEASEEEEEEEEEEE
Answer:
1.26
Step-by-step explanation:
R(L)=log((1.8 ×10)=log(18)=1.26
I really need some help
Answer:
y-2=2(x-12)
the alternative is
y+3=2(x-2)
Step-by-step explanation:
NEED HELP ASAPfind the missing number and fill in the blank to make it true35 + ?? = 7(5 + 3)
Answer:
x = 21
Step-by-step explanation:
35 + ?? = 7(5 + 3)
1. Expand the brackets on the right:
35 + x = 35 + 21
2. Cancel out 35 from both sides
x = 21
Which statement is true about 737
O A) It is a prime number
OB) It is a composite number,
OC) It is a whole number that is neither prime nor composite
OD) It is not a whole number,
Answer:
A) It is a prime numberStep-by-step explanation:
Option A, is true about 73
As it is a prime number because it has only two distinct divisors: 1 and itself (73)
I'm pretty sure it's B because 737 isn't a prime number but 73 is a prime number
Helpppp plsssssssdssssssssss
Answer:
y = x + 2
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 )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 1) and (x₂, y₂ ) = (- 1, 2) ← 2 points on the line
m = [tex]\frac{2-1}{-1-(-2)}[/tex] = [tex]\frac{1}{-1+2}[/tex] = [tex]\frac{1}{1}[/tex] = 1
The line crosses the y- axis at (0, 2 ) ⇒ c = 2
y = x + 2 ← equation of line
submarine titan descended 93 meters into the ocean to look for fish. Submarine Odyssey descended 3 times as deep. What is Odyssey's depth below sea level in meters?
Answer:
279 meters
Step-by-step explanation:
This is just some simple multiplication. 93*3=279
Submarine Odyssey's depth below sea level is 279 meters.
Given that two submarines titan and odyssey, titan descended 93 meters and odyssey descended 3 times as deep.
We need to find the depth of the submarine odyssey.
To find Odyssey's depth below sea level, we can start by determining the depth that Submarine Titan descended.
According to the given information, Submarine Titan descended 93 meters into the ocean to look for fish.
Now, we need to find the depth that Submarine Odyssey descended, which is three times as deep as Submarine Titan.
We can calculate this by multiplying the depth of Submarine Titan (93 meters) by 3:
Depth of Submarine Odyssey = 93 meters x 3 = 279 meters
Therefore, Submarine Odyssey's depth below sea level is 279 meters.
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if Ax and 60b 30c find its unknown sizes of angle
Step-by-step explanation:
3360832553 pass wZE2XQ
Can someone solve the whole thing for me please it isnt a test its an online assignment and ill give you brainliest if you solve all of them correctly
Answer: do you have a email so i can send it to you??
Step-by-step explanation:
