Answer:3.8
Step-by-step explanation:
Prove that:
[tex] \cos( \frac{3\pi}{2} + \theta) \cos(2\pi + \theta) [ \cot( \frac{3\pi}{2} - \theta) + \cot(2\pi + \theta) ] = 1 [/tex]
Please solve this problem because tomorrow is my maths exam.
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
Whenever the first and last day of a
month fall on the same day of the week,
that month has exactly how many days?
A. 28
B. 29
C. 30
D. 31
Step-by-step explanation:
I believe it would be 29days
Months with 31 days are the only ones where the first and last day of the month fall on the same day of the week. So, correct option is D.
The months with the same day of the week for their first and last day have either 30 or 31 days. This is due to the repeating pattern of days in a month.
Let's consider the possibilities:
If a month has 30 days and the first day falls on a Sunday, then the last day of the month would fall on a Tuesday, which is two days ahead. This means that the next month's first day would be a Wednesday. Since there are only 7 days in a week, the first and last day cannot be the same for a 30-day month.
If a month has 31 days and the first day falls on a Sunday, then the last day of the month would fall on a Monday, which is just one day ahead. This means that the next month's first day would also be a Monday, making the first and last day the same for this 31-day month.
Thus, the correct answer is D. 31
To learn more about days click on,
https://brainly.com/question/29513526
#SPJ2
An elevator was at the 4" floor. It traveled up 18 floors, down 7 floors, up 6 floors and down 2 floors. What floor did the elevator end up on?
Guys can u please help i can explain it so i gotta send a photo i always give hearts and 5 stars :D the photo is down below
Answer:
5x cm
Step-by-step explanation:
Total length of AE = 2x + 3x
= 5x cm
If (a + b)^2 = a^2 +n + b^2 , what is n?
Answer:
[tex] {(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2} \\ n = 2ab[/tex]
Find the area I will make you Brainliest (show working)
Answer:
Step-by-step explanation:
5 * 3 = 15
8 * 9 = 72
Add
Answer = 87 cm^2
please help me i’m being timed
if A (4x, y) and B (2x, 3y) are points on a grid, the coordinates of the midpoint line segment
AB are:
Answer:
...............c
Step-by-step explanation:
1 3x5 x 2 1x3 i don't know what eles to right but what is the answer
if Brian is driving 50 miles per hour how far did he drive
Answer:
2.5 km long after 59 miles
Answer:
50 miles
Step-by-step explanation:
Given h(x)=5x-1h(x)=5x−1, find h(1)h(1).
slope=0, goes through the point (0,6)
Answer:
y=6
Step-by-step explanation:
no slope means no X or M in y=mx+b
leaves you with y=b which is whatever y is in the cordinate (x,y)
in this case, 6
Answer:
y=6
Step-by-step explanation:
We can use point slope form
y-y1 = m(x-x1)
where m is the slope and (x1,y1) is a point on the line
y-6 = 0(x-0)
y-6 = 0
Add 6 to each side
y-6+6 = 0+6
y=6
2×[3+2×(10-3)]=
Pa helppppp
Step-by-step explanation:
2 × [3 + 2 × (10 - 3)] =
2 × (3 + 2 × 7) =
2 × (3 + 14) =
2 × 17 = 34
Answer:
34
Step-by-step explanation:
2 × [3 +2 × (10 - 3)]=
2 × (3 + 2 × 7)=
2 × ( 3 + 14)=
2 × 17=
34.
The product of three whole numbers is 120 how many different possibilities are there for the three whole numbers
9 different possibilities
Answer:
z. sjshshdbd.d.difffjfjfjf
If there are three black, four white, two blue, and four gray socks in a drawer, what would be the probability of picking a blue sock? Round your answer to the nearest tenth.
Answer:
3/13 which is 0.23 as a decimal
Step-by-step explanation:
HURRY PLEASE
What is the equation of the line in slope -intercept form ?
Write your answer using intergers , proper fractions , and improper fractions in simplest form .
3x - 2y = -14
Standard Form
Slope- Intercept Form
Help????
Avery and Carmen both have summer jobs. Avery gets paid $360 every 4 weeks. Carmen gets paid $480 every 6 weeks. summer break lasts a total of 12 weeks. who will earn more money during summer break?
Answer:
Avery
Step-by-step explanation:
12/4=3 so Avery will be paid 3 times
360×3= $1080
12/6=2 Carmen will be paid twice
480×2=$960
Avery earns more
The angle of perspective is important
because
explain and show how please ! and give answer someone pls answer asap !
Answer:
Both angels are 70 and both added are 140.
Step-by-step explanation:
Because of the rules, that's names i never remember angle 1 and angle 2 are both 70° and obiously they equal 140.
Area of sector is to
as arc measure is to 360 degrees.
diameter
circle area
semicircle
circumference of circle
Answer:
circle area
Step-by-step explanation:
A full circle contains 360 degrees. So, an arc of 360 degrees would just be a circle.
The area of a sector is to the circle area
How to complete the blank?The area of a circle is:
[tex]A = \pi r^2[/tex]
The area of a sector is:
[tex]a = \frac{\theta}{360} * \pi r^2[/tex]
Substitute [tex]A = \pi r^2[/tex] in the above equation
[tex]a = \frac{\theta}{360} * A[/tex]
The above means that the area of a sector is a fraction of the circle area
Hence, the area of a sector is to the circle area
Read more about sector and circle at:
https://brainly.com/question/16736105
#SPJ6
Mr. Brookins asked his students to plot an integer on a number line. Which two students could have represented the same number?
Makayla
A number line going from negative 10 to 0. A point is at negative 7.
Aaron
A number line going from negative 18 to positive 6. A point is at negative 5.
Serena
A number line going from negative 20 to positive 12. A point is at negative 5.
Dontae
A number line going from negative 8 to 0. A point is at negative 6.
Serena and Dontae
Makayla and Aaron
Serena and Aaron
Makayla and Dontae
Mark this and return
Answer:
Serena and Aaron.
Step-by-step explanation:
Answer:
Serena and Aaron.
Step-by-step explanation:
How do I do 7<1+x in linear equations
Answer:
7<1+x
1+x>7
x>7-1
x>6
Step-by-step explanation:
hope this helps a little
trying to figure it out
What is 191 divided by 5 with a remainder
Answer:
your answer is 38 with a remainder of 1
Step-by-step explanation:
Nominator
191
Denominator
5
38.2= 38 Remainder 1
The result of 191/5 is a terminating decimal with 1 digit to the right of the decimal point.
191 divided by 5 in decimal = 38.2
191 divided by 5 in fraction = 191/5
191 divided by 5 in percentage = 3820%
On dividing 191 by 5, the remainder is 1.
The divisor is the integer that divides a given number. The resultant number is sometimes referred to as the quotient. The residual is the number that the divisor leaves after partially dividing the original integer.
Dividend = Divisor x Quotient + Remainder
On dividing 191 by 5
Step 1: Divide 191 into 5 parts: 191/5 = 38(integer part only)
Step 2: Divide the quotient you just calculated by the divisor (5).
38 × 5 = 190
Step 3: Subtract the result from the initial dividend from step 2 (191) (191):
191 - 190 = 1
Step 4: The remainder is the outcome of step 3:
1 is the result of dividing 191 by 5.
Therefore, the remainder after dividing 191 by 5 is 1.
Learn more about the mathematical operation, here:
https://brainly.com/question/29635854
#SPJ6
Multi-step word problems are combination of fundamental which includes hidden questions. Here, you will be able to think deeply and improve your higher order thinking skills to solve the problems. Learning Task 2. Solve the given problems. Use the 4-steps inn solving word problems. A hidden questions should be incorporated in your answer Write your solution in your notebook. 1. Mr. Fernandez earns P 28.50 per hour as an office clerk. He earns 1.75 times as his regular rate for overtime. His regular work is 40 hours per week. He gets overtime pay if he works more than 40 hours. How much is his total earning if he works 45 hours in one week? 2. Lucy earns P 1,525.00 a week. She sets aside 15% of this for savings. How much does she save in a year? (Hint: 1 year = 52 weeks). 3. Mrs. Briones has a monthly pay of 50,000.00. The withholding tax de ducted from her monthly salary is P 5,275.75. What is the actual pay she receives in a year?
The solution to the word problems given are obtained by creating a mathematical expression from the questions given. Hence, the solutions are :
$1389.375$11895$5366911.)
Regular Earning per hour = $28.50Overtime earning = 1.75 × 28.50 = $49.875Regular work hour = 40 hoursTotal work hours = 45 hours
Total earning can be defined thus :
28.50(40) + 49.875(45 - 40)
1140 + 249.375
= $1389.375
2.)
Earning per week = $1525Percentage saving = 15%Yearly saving can be calculated thus :
Weekly saving = 15% × 1525 = $228.75
Amount saved per year = $228.75 × 52 = $11895
3.)
Monthly pay = $50000Withholding tax per month = P 5275.75Actual payment received per year can be calculated thus :
Actual weekly earning = $50000 - $5275.75 = $
Actual yearly earning = 52 × $44724.25 = $536691
Learn more : https://brainly.com/question/25257355
I believe the answer is 840, but need the work shown. Help my friend out!
Answer:
A
Step-by-step explanation:
Which of the following shows a correct estimate for 26% of 78?
Answer:answer is 13
Step-by-step explanation:
So, 26% multiplied by 78 = 2,028 But wait, we have to estimate, means less it.. So, 2,028 = 13 I have reduced 2,028 by dividing it. Answer = 13
Which type of parent function is f(x) =^3cubed x
—
A. Square root
O B. Cube root
O C. Reciprocal
D. Quadratic
Help quick!!!
Answer:
Cube Root
Step-by-step explanation:
Because there is a 3 outside the symbol.
That means the equation is stating: y * y * y = x
Hope this helps :)
the fastest recorded Hawaiian lava flow moved at an average speed of 6 miles per hour. The function y=6x describes the distance y the lava moved on average in x hours. graph the function. use the graph to estimate how many miles the lava moved after 4.5 hours
Answer:
The answer is 27 6 times 4.5 is 27 Welcome!!!
Step-by-step explanation:
Brainiest ????
If the fraction 396/x-10 is equivalent to -22, find the value of x
Answer:
-33
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
396/x-10-(-22)=0
Answer:
-33
Step-by-step explanation:
my work is done in the image below
