Simplify and write the trigonometric expression in terms of sine and cosine: sec t − cos t sec t = ( f ( t ) ) 2 sect-costsect=(f(t))2
Answer:
[tex]f(t) = 1 - cos^2\ t[/tex] and [tex]f(t) = sin^2\ t[/tex]
Step-by-step explanation:
Given
[tex]\frac{sec\ t - cos\ t}{sec\ t} = f(t)[/tex]
Required
Simplify
[tex]f(t) = \frac{sec\ t - cos\ t}{sec\ t}[/tex]
Split fraction
[tex]f(t) = \frac{sec\ t }{sec\ t} - \frac{cos\ t}{sec\ t}[/tex]
[tex]f(t) = 1 - \frac{cos\ t}{sec\ t}[/tex]
[tex]sec\ t = \frac{1}{cos\ t}[/tex]
So, we have:
[tex]f(t) = 1 - \frac{cos\ t}{\frac{1}{cos\ t}}[/tex]
[tex]f(t) = 1 - cos\ t * cos\ t[/tex]
[tex]f(t) = 1 - cos^2\ t[/tex]
In trigonometry:
[tex]1 - cos^2\ t = sin^2\ t[/tex]
So, we have:
[tex]f(t) = sin^2\ t[/tex]
A right triangle and some of its measurements are shown in this diagram. Based on the measurements shown in the diagram, what is the value of T? HELP HELP GOD IMMA FAIL PLZ THIS IS URGENT
Answer:
t = 6√3 mm
Step-by-step explanation:
The angles of the triangle are 30°, 60°, and 90°. That's lucky for you, because the sides of a 30°-60°-90° triangle are always in the ratio 1:√3:2
The side opposite the 90° angle is 12 mm, so the side opposite the 30° angle is 12/2 = 6 mm
t = side opposite the 60° angle = 6√3 mm.
The value of T is 6√3.
What is Trigonometry?One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.
We have,
Hypotenuse = 12 mm
Using Trigonometry
sin 60 = P/H
√3/2= P/12
12√3/2= P
P= 6√3
Thus, the value of T is 6√3.
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7n - 5
The polynomial is__
Answer:
polynomial have 7 side...
When the American Idol competition was down to the final two contestants, the winner was ahead of the second-place finisher by $12$ million votes. If the total number of votes was $90$ million, how many votes did the winner get?
Answer:
I know you go to aops...
Step-by-step explanation:
First show your thinking before you ask others how to solve a problem, and ASK YOUR TEACHER FOR HELP!!
7/8 Of the distance between two cities is 147 miles. How far apart are the two cities?
Answer:
168
Step-by-step explanation:
First, find the unit rate (the amount it increases with every 1/8)
147 ÷ 7 = 21
Next, multiply that by the denominator (8)
21 x 8 = 168
The answer is 168
Answer:
1/168
Step-by-step explanation:
hope this is right but you divide both of them
Solve for y 35 = 11y
Answer:
y=35/11
or
3.18 repeating
Step-by-step explanation:
Answer: 3.18181818182y
Step-by-step explanation:
You would do 11y divided by 11. Then 35 divided by 11.
That would get you 3.18181818182=y
Which statement is true about the polynomial 5s^6t^2 + 6st^2 - 8s^6t^2 - 6t^7 after it has been fully simplified?
Given:
The polynomial is
[tex]5s^6t^2+6st^2-8s^6t^2-6t^7[/tex]
To find:
The correct statement about the given polynomial.
Solution:
We have,
[tex]5s^6t^2+6st^9-8s^6t^2-6t^7[/tex]
On combining like term, we get
[tex]=(5s^6t^2-8s^6t^2)+6st^9-6t^7[/tex]
[tex]=-3s^6t^2+6st^9-6t^7[/tex]
Here, the terms are [tex]-3s^6t^2, 6st^9, 6t^7[/tex]. So, the number of terms is 3.
The degree of the polynomial is the highest power of the variable or the product of the variables.
Powers of [tex]-3s^6t^2, 6st^9, 6t^7[/tex] terms are 6+2=8, 1+9=10, 7.
Since the highest power of the product of the variable is 10, therefore, the degree of the polynomial is 10.
Hence the correct option is b.
El polinomio que se encuentra en orden descendiente es:
A) 4x2 + 12x + 9x2
B) 4x3+12x2 +9x+6
C)4+12x2+9x3
D)4x+12x2+9
Kelly wants to buy cupcakes for her family. The radius of the cupcake is 12
inches, what is the distance around the cupcake? *
Your answer
Answer:
75.4 inches
Step-by-step explanation:
circumference = 2πr = 24π ≅ 75.4 inches
It's really more of a tubcake than a cupcake.
What is an equation of the line that passes through the points (-7, 3)
and (-4, 3)?
Answer:
Step-by-step explanation:
(3-3)/(-4+7)= 0/3= 0
y - 3 = 0(x + 7)
y - 3 = 0
y = 3
What is the slope of the line below?
(5,5)
(5,-2)
A. zero
B. negative
C. undefined
D. positive
Answer:
Undefined
Step-by-step explanation:
Vertical lines cannot be functions, since they yield multiple y-values for one single x-value.
2. Write and solve an equation for each situation.
Justin and Marcus went for a bike ride. Together they rode a total of 28.6 miles. If Justin rode 14.4
miles, how many miles (m) did Marcus ride? * help plz
Answer:
14.2 miles
Step-by-step explanation:
14.4 + m = 28.6 is your equation
Then subtract 14.4 from both sides
m = 14.2
what 30 x 23 30 x 23
30 x 23 = 690
23 x 30 = 690
Answer: 690
Step-by-step explanation:
Now whats 34+35?
don’t understand, plz explain very urgent
find the sum of 9/10 and 5/6 write an equation?
Answer: 1 11/15
Step-by-step explanation:
9/10 + 5/6
=
9 × 3
+--------
10 × 3
5 × 5
-------
6 × 5
=
27/30 + 25/30
=
27 + 25
-----------
30
=
52/30
=
52 ÷ 2
----------
30 ÷ 2
=
26/15
=
1 11/15
Answer:
Step-by-step explanation:
9/10 + 5/6 = 16/20
Hal earns n dollars per hour. Next month he
will receive a 296 raise in pay per hour. The
expression n +0.02n is one way to represent
Hal's pay per hour after the raise Write an
equivalent simplified expression that will
represent his pay per hour after the raise.
Answer:
[tex]Total = 1.02n[/tex]
Step-by-step explanation:
Given
[tex]Earnings = n[/tex]
[tex]Raise = 2\%[/tex] --- not 296
[tex]Total = n + 0.02n[/tex]
Required
Simplify the expression for total earning
The total amount is derived from:
[tex]Total = Earnings + Raise * Earnings[/tex]
[tex]Total = n + 2\% * n[/tex]
Express percentage as decimal
[tex]Total = n + 0.02 * n[/tex]
Now, we can solve further:
[tex]Total = n + 0.02n[/tex]
[tex]Total = 1.02n[/tex]
Hence, the simplified expression is 1.02n
Answer:
1.02n
Step-by-step explanation:
In the year 2005, there were 100 rabbits in a particular region. Since then, the population has increased by 3.4% per year. Write an expression that represents the rabbit population in the year 2025, and solve it.
Answer:
Step-by-step explanation:
Your answer
Ok, lets do it systematically.
2005– 100 rabbits
3.4 % per year increasement.
So every year it increase 0.034 *100 = 3.4 per year
Total 2025-2005= 20 years
So expression is : 0.034*100*year(20)
Answer is : 3.4*20 = 68. So, in 2025, total rabbits will be 168
Mark it as Brainlist answer. Follow me.
Define/explain the Pythagorean theorem.
Answer: The Pythagorean theorem consists of a formula a^2+b^2=c^2 which is used to figure out the value of (mostly) the hypotenuse in a right triangle. It's a fundamental relation in Euclidean geometry among the three sides of a right triangle.
Step-by-step explanation:
Answer:
Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs.
Find: 1. three quartiles and 2. interquartile range (IQR).
1, 3, 9, 12, 12, 14, 18
The position of Q1 is the 2th number. Q1 is 3.
The position of Q2 is the 4th number. Q1 is 12.
The position of Q3 is the 6th number. Q1 is 14.
IQR is 11.
What are the required values?The first quartile, second quartile and the interquartile range are used to measure the variation of data. Median is a measure of central tendency. Median is the number at the center of the dataset.
Q1 = 1/4 x (n + 1)
1/4 x 8 = 2nd number = 3
Q2 = 1/2 x (n + 1)
1/2 x 8 = 4th number = 12
Q3 = 3/4 x (n + 1)
3/4 x 8 = 6th number = 14
IQR = Q3 - Q1
14 - 3 = 11
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At a football game, 35% of people attending were supporting the home team, while 65% were supporting the visiting team. If 455 people attending the game supported the home team, what was the total number of people attending the game? Help me plz:))
Answer:
1300
Step-by-step explanation:
A group of 28 students wants to go on a bus trip. The cost of the bus is $220. $94 dollars will be paid by one parent and the rest of the cost will be paid for by the students. Select the correct equation to represent this scenario from the options below. Group of answer choices LaTeX: 28x+94=22028 x + 94 = 220
LaTeX: 28x-94=22028 x − 94 = 220
LaTeX: 94x+28=22094 x + 28 = 220
LaTeX: 94x=22094 x = 220
Answer:
c
Step-by-step explanation:
the figure shows the dimension of a city park in feet what is the area of the park?
A 968 ft2
B 1,088 ft2
c 1,208 ft2
d 73,084
i need help on this one
3
What is the solution to the equation 9x = 54?
x = 6
B) x = 7
C
X = 8
x = 9
Answer:
6
Step to Step:
9x6=54
Answer:
Option A
Step-by-step explanation:
In order to find the answer to this equation you must remember to divide if there is a variable right next to the number.
[tex]9x=54[/tex]
[tex]\div9[/tex]
[tex]54\div9=6[/tex]
[tex]x=6[/tex]
Hope this helps.
hi to u famous girl !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
YEET
Step-by-step explanation:
Answer:kuktf
Step-by-step explanation:
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'd5r6sxfh;jhp
Which expression is equivalent to z2 + z + 4z3 + 4z2 ?
Group of answer choices
A.No answer text provided.
B.5z
C.4z3 + 5z2 + z
D.4z3 + 5z2
E.9z2 + z
2(a+11)= -3(16-a) one solution, no solution, or infinite solutions
Answer:
the answer is one solution (70)
Step-by-step explanation:
2(a+11)=-3(16-a)
distribute
2a+22=-48+3a
subtract 2a from both sides
22=-48+a
add 48 to both sides
70=a
the answer is one solution (70)
3 days 22 hours equals how many hours
Answer:
94 hoursStep-by-step explanation:
3 days = 3×24 =72total hours= 72 + 22 = 94How many strikeouts per inning if there were 36 strikeouts in 60 innings
Answer:
0.6 strikeouts per inning
Step-by-step explanation:
36 strikeouts in 60 innings = 36/60 = 6/10 = 0.6
Answer: 0.6 strikeouts per inning
Pls help me jenejfnnfnwndndbenjwjdndnwkjs
Answer:
I have no clue
Step-by-step explanation:
HAHA
Jeffrey needs $200 to buy a new iPod. Right now, he has $75. What percent of the $200 does he have?
PLEASE HELPPP
Answer:
40%
Step-by-step explanation:
Answer:
If you need help on further questions like this, divide what he has to what he needs or his goal
in order to get 37.5% you have to divide 75/ 200
You will get 0.357 and that is 37.5% this is ABOUT 40% but I reccomend putting 37.5% to be safe.