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
Hope this helps!!
Please show the process of how you got your answer. Thank you! Much appreciated. :)
Answer:
The answer is 2a^3\sqrt11a
Step-by-step explanation:
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
Answer:
2[tex]2\sqrt{11} a^{3} \sqrt{a}[/tex]
Step-by-step explanation:
Apply Radical rule: ([tex]\sqrt{ab}= \sqrt{a}\sqrt{b}[/tex])
Which gets you:
[tex]\sqrt{44a^{7} }=\sqrt{44}\sqrt{a^{7} }[/tex]
= [tex]\sqrt{44} \sqrt{a^{7} }[/tex]
Simplify and gets you the answer above
A line with a slope of 2 passes through the point (-8, 2). What is its equation in
point-slope form?
Hello!
y-y1=m(x-x1)
y-2=2(x-(-8)
y-2=2(x+8)
And that's our equation in point-slope form. Hope this helps!
~Just a joyful teen
[tex]SilentNature\\(GraceRosalia)[/tex]
Jimmy wants to enlarge a sign for his taco stand. He increases the height by a scale factor of 4 and the width by a factor of 2. What is the effect on the area of the sign? times greater
After the increase in the dimensions of the sign, the effect on the area of the sign is that the new area is 8 times larger than the initial area.
The sign has the shape of a rectangle. A rectangle has four sides. The opposite sides are equal in length.
The area of a rectangle = length x width.
Jimmy is making the sign bigger by increasing the size of the length and width. Let's imagine that the width is 8cm and the length is 10cm.
The initial area of the sign = 10 x 8 = 80 cm
After the increase in the dimensions, the length is are 40cm and 16cm for the width.
New area = 40 x 16 = 640
Number of times the new area is greater than the initial area = 640 / 80 = 8 times larger
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A cheetah runs 296 feet in 4 seconds. How far could a cheetah run in 10
seconds at this rate?
Answer:
740 feet
Step-by-step explanation:
The speed of the cheetah is 74 feet per second:
speed = distance ÷ time
= 296 ÷ 4 = 74 feet per second
In 10 seconds:
distance = speed × time
= 74 × 10
= 740 feet
Answer:
740 Feet
Step-by-step explanation:
Given: 296 ft= 4 sec
To Find: 10 sec = [tex]\left[?}\right][/tex] ft
First we need to Find How many feet are in 1 second.
To find that,
Do 296 divided by 4
=
74
So 1 second = 74 Feet.
Then 74 ft Times 10 second
Which gives you
740 Feet.
Therefore, at 10 second rate gives you 740 Feet.
Lakeside amusement park charges an entry fee plus $1.50 per ticket used to go on the rides. The entry fee is the same amount for everyone. Louisa spent a total of $30.75 on the entry fee plus 15 ride tickets. Click “show your work” below and show calculations to determine how much Louisa paid for the entry fee.
Answer:
The entry fee is $8.25
Step-by-step explanation:
Total together: $30.75
She bought 15 tickets * $1.50 cost per 1 ticket
= $22.50
$30.75 (total) - $22.50 (price of tickets)= $8.25
okay now i rlly need this done man
Answer:
x=9.5
EDIT: Its actually x=6Step-by-step explanation:
Brainliest?PLEASE?Answer:
4
8
+
2
{\color{#c92786}{\frac{4x}{8}}}+2
84x+2
2
+
2
Step-by-step explanation: please mark brainliest
Find the missing measure (simular figures)
Answer:
66m, 35in?, 12m, 2km, 26cm
Step-by-step explanation:
22/17 = 1.294x51 = 66m
7/3 = 2.333x15? = 35in not sure if the number on the pic is 15
18/12 = 1.5x8 = 12m
6/27 = .2222x9 = 2km
6.5/2.5 = 2.6x10 = 26cm
Find the value of 19-b when b=7
Answer:
12
Step-by-step explanation:
A rectangular painting's width is 2 inches more than twice
its length. The perimeter is 40 in. Find the dimensions.
Write an equation of the line in point-slope form that passes through the given points. (4,6) and (5,9)
Answer:
graph{x + 2 [-10, 10, -5, 5]}
Step-by-step explanation:
Which number is a constant in the algebraic expression?
Negative x squared minus 6 y + 13 x + 7
Negative 6
Negative 1
7
13
Answer:
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
-x^2 -6y+13x+7
The constant is the term with no variable attached to it
7 is the constant
Find the measures of a right triangle with one angle whose measure is 30
Answer:
The other measure is 60º
Step-by-step explanation:
a triangle= 180º total
a right triangle has one 90º angle
there is a 30º angle given
180-90=90
90-30=60
so 60º
what’s the mean of 8.3 9.1 8.1 8.7
Answer:
i don't know do you know
Step-by-step explanation:
please help I dont understand
Step-by-step explanation:
When it says y varies directly with x it just means that y and x are proportional/equal to each other. The constant of variation and the constant of proportionality are the same thing just different way of saying it so they can confuse you and make your life miserable. Since y and x are proportional to each other and the constant of proportionalty is -5 to make an equation that represents a line you use the formula y=mx+b. That is the slope of the line. With that formula let's first plus in the x so we have y=m2+b. The formula for direct variation is y=kx as well that's good to know and it's good to memorize all these formulas. Math becaomes easier when you have the process down pat and you just need to plug numbers into different equations, expressions, and scenarios. Do m = [y1 - y2] / [x1 - x2] and you'll get the answer.
Need help asap???????
Answer:
sorry man I dont know what it is
10(c–1)=80 i need help
Answer:
C =9
Step-by-step explanation:
10(c−1)=80
Step 1: Simplify both sides of the equation.
10(c−1)=80
(10)(c)+(10)(−1)=80(Distribute)
10c+−10=80
10c−10=80
Step 2: Add 10 to both sides.
10c−10+10=80+10
10c=90
Step 3: Divide both sides by 10.
10c
10
=
90
10
c=9
Find the difference in 14 5/10 - 12 9/10 please
Answer:
1 3/5
Step-by-step explanation:
14 5/10 - 12 9/10
I like to line them up vertically
14 5/10
- 12 9/10
-----------------
We need to borrow from the 14. 14 becomes 13 and the 1 becomes 10/10
13 10/10+5/10
- 12 9/10
-----------------
13 15/10
- 12 9/10
-----------------
1 6/10
Simplify
1 3/5
Answer Fast Plsssss please hellpppp me
Answer:
y = 2/3x
Step-by-step explanation:
Answer:
y=2/3m
Step-by-step explanation:
the slope, m, equals rise over run
the slope rises 2, then runs 3, making 2/3
Hope this helps!
in 2000 the population of India was around 1.053 billion , and in 2016 the population hit 1.327 billion people . if India's population continues to grow at this same rate in what year was the population of India reach 3 billion people.
Answer:
The population of India would reach 3 billion in about 112 years (year 2128)
Step-by-step explanation:
1. subtract 1.327 billion by 1.053 billion (1.327-1.053)
2. The answer you should get is 274,000,000 (two hundred seventy four million)
3. multiply 274,000,000 by 7 (amount of people required to reach about 3 billion)
4. add the product (ans to multiplication problem) to 1.327 billion. (you should get 3.245 billion (3245000000).
5. multiply 16 by 7 (16x7) to get the number of years to reach 3 billion (maybe 112)
6. Add the product to 2016
7. Therefore you get the year 2128.
. Only 2% of a large population of 100-ohm gold-band resistors have resistances that exceed 105 ohms. a. For samples of size 100 from this population, describe the sampling distribution of the sample proportion of resistors that have resistances in excess of 105 ohms. b. What is the probabilit
Using the information given above, the sampling distribution of the sample proportion of 100-ohm gold-band is 2.
Sampling distribution of proportion, P = 2% = 0.02 Sample size, n = 100The sampling distribution of the sample proportion can be calculated thus:
Distribution of sample proportion = npDistribution of sample proportion = (100 × 0.02) = 2
Therefore, there is a probability that only 2 of the samples will have resistances exceeding 105 ohms.
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One example of a mathematical model is an equation that describes the relationship between two quantities.
a. True
b. False
Answer:
True
Step-by-step explanation:
Linear equations are often used to model the relationship between the dependent variable that is affected by changes in the independent variable.
For instance, the linear function: f(x) = 2x + 3, where f(x) is the output (dependent variable) depends on the value of the input, x (independent variable).
Therefore, the correct answer is True.
12 can someone please explain this
Answer:
B = x = 44 degrees
Step-by-step explanation:
Interior angles of a triangle = 180 degrees.
There are 2 congruent sides so the angle to the right of 67 degrees is also 67 degrees
180 - 2(67) = 46 degrees (the third angle of the triangle)
x + 46 degrees = 90 degrees ( complementary angles)
x = 44 degrees
I need help solving #9 & #11! It's geometry but I'm just really stuck
Answer:
9)x=11 y=3
11)x=18 y=5
Step-by-step explanation:
9) 9x+25=13x+19 13x-19+17y+5=180
9x+44=13x 129+17y=180
44=4x 17y=51
11=x y=3
11) 49+3x=7x-23 3x=11y-1
What is the value of s?
Step-by-step explanation:
it is given r=s
then, t =100.
2s+t=180°
2s=180-100
2s=80°
s=40° = r
hope this helps you.
The function g(x) is a transformation of the quadratic parent function, f(x) =
x2. What function is g(x)?
a. g(x) = 1/2x^2
b. g(x) = -2x^2
c. g(x) = 2x^2
d. g(x) = -1/2x^2
The function g(x) is a transformation (flipped upside down and horizontally stretched) of the quadratic parent function, f(x) = x2. g(x) = -0.5x².
What is flipping upside down?Flipping upside down, is found by taking the negative of the original function; that is, the rule for this transformation is −f (x).
Since, g(x) is an upside down function of f(x), g(x) = -f(x).
What is stretching a graph?If we multiply a function by a coefficient, the graph of the function will be stretched.
A function h(x) represents a horizontal compression of f(x) if h(x) = f(cx) and c > 1.
A function h(x) represents a horizontal stretch of f(x) if h(x) = f(cx) and 0 < c < 1.
Since, g(x) is clearly a stretched transformation of f(x), c < 1.
The possible function g(x) = -0.5x².
Learn more about stretching a graph here
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2/3 = 4/x+3 what is x?
Answer:
-12/7
Step-by-step explanation:
2/3=4/x+3
2/3-3=4/x Subtract 3 from both sides
2/3-9/3=4/x Make them have a common denominator
-7/3=4/x
-7/3x=4
x=(4)/(-7/3)
x=[tex]\frac{-12}{7}[/tex]
6 383 to the nearest hundred ?
6,400 is the nearest hundred
1
Mr. Johnson wants to fill up his car's gas tank. The car has a 25 gallon gas tank and there are 4 gallons of gas already in the tank. Gas costs $3.04 for each gallon. Mr. Johnson has $50 to spend on gas. Will he have enough money. Show your work and justify your answer.
Based on the cost of filling of the car, we can infer that Mr. Johnson does not have enough to spend on gas.
The car can take 25 gallons of gas and already has 4 liters inside it. The quantity of gas Mr. Johnson has to buy is:
= 25 - 4
= 21 gallons
The price of a gallon is $3.04. The price of 21 gallons would be:
= Price of gas x Number of gallons
= 3.04 x 21
= $63.84
In conclusion, Mr. Johnson does not have enough to spend on gas because he has only $50 yet the gas will cost $63.84.
Find out more at https://brainly.com/question/21060271.
A local catering
company is offering a
Spring BBQ special that
feeds 30 people for
$195. How much would it
cost to feed 50 people?
Enter the value of x. The diagram is not to scale.
680
119°
.70
Answer: 51
119=68+x => x=51