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]
Help plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzxzzxzzzzzzzzzz
Answer:
21 2121212121212121212121
Carter went shopping for a new pair of pants. Sales tax where he lives is 3.75%. The
price of the pair of pants is $36. Find the total price including tax. Round to the
nearest cent.
Answer:
$37.35
Step-by-step explanation:
You find the sales tax by turning 3.65% to 0.0375. Then you multiply that by 36. Then you will get 1.35. You add 1.35 to 36 and get your answer of $37.35.
Solve the equation
-7=y/7
Answer:
y=-49
Step-by-step explanation:
What is the answer plwese help!?!"!.!
Answer:
768 in.
Step-by-step explanation:
Alexia drank 2/3 L of water Monday before going jogging she drank 3/8 L of water after her dog how much did Alexis a drink all together right answer as a mixed number
Answer:
5/11
Step-by-step explanation:
&add up the decimals I think
Pls help will mark brainlest
Answer:
15 bags
Step-by-step explanation:
She can fill 5 bags per each pound (because there are 5 [tex]\frac{1}{5}ths[/tex] per pound)
Since there are 3 pounds, and , again, each pound can fill 5 bags, she will need 15 bags.
Another way too look at it is to ask how many 1/5ths are in 3 pounds. To find this answer mathematically:
3 ÷ 1/5 = 15 because when we divide by a fraction, we need to flip it and then multiply (so 3 ÷ 1/5 is actually 3×5)
Y=-2x+6 what is the y intercept
Answer:
the Y intercept is 6
Step-by-step explanation:
the Y intercept of a linear equation like that equation
any equation formed as: y=mx+b
B of the equation would always be the Y intercept
The y-intercept of the equation y = -2x + 6 is 6. It means that the line intersects the y-axis at the point (0, 6), where the y-coordinate is 6.
In the equation y = -2x + 6, the y-intercept represents the value of y when x is equal to zero.
To find the y-intercept, we substitute x = 0 into the equation:
y = -2(0) + 6
y = 0 + 6
y = 6
Therefore, the y-intercept of the equation y = -2x + 6 is 6. It means that the line intersects the y-axis at the point (0, 6), where the y-coordinate is 6.
To know more about coordinate:
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I WILL MARK BRAINLIST IF YOU ANSWER CORRECTLY OR IF YOU JUST TRY BUT IF YOU ANSWER FOR THE POINTS IM REPORTING btw I CAN tell
Answer:
What's the question tho
Need help fast! Solve for y and a if possible please
Which expression has the same value as -4(5 - x)?
A. -4.5 + 4.x
B. -4.5 - 4.x
C. (-4 + 5).(-4 + ( - x))
D. (4 - 5)(-4 - x)
Write 1378 in expanded form
1378=
Answer:
1000+ 300+ 70+ 8=1378
Step-by-step explanation:
Answer:
1,378 dollars yessssssssssssssssss
please help
Professor Ivy’s students have the following scores on her Exam.
61 88 67 88 91 69 45 92 52 38 98
Find the mode value.
Answer:
88
Step-by-step explanation:
The mode is the number that occurs the most in a data set, and 88 is the only number that occurs twice.
On a number line, the directed line segment from Q to S has endpoints Q at -14 and S at 2. Point R partitions the
directed line segment from Q to Sin a 3:5 ratio.
Which expression correctly uses the formula [m/m+n](x2-x1)+x1 to find the location of point R?
9514 1404 393
Answer:
A
Step-by-step explanation:
Using m=3, n=5, x2=2, x1=-14, the only match is the first one.
The correct expression for the point on the line is [tex]M=\frac{3}{3+5} (2-(-14))+(-14)[/tex]
Midpoint of a lineThe formula for expressing the midpoint of a line is expressed as:
[tex]M=\frac{m}{m+n} (x_2-x_1)+x_1[/tex]
Given the following parameters
m=3,
n=5,
x2=2,
x1=-14,
Substitute
[tex]M=\frac{3}{3+5} (2-(-14))+(-14)[/tex]
This given the correct expression for the point on the line
Learn more on midpoint here: https://brainly.com/question/18315903
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Find the indicated side of the right triangle
Answer:
i dont know what youretalking about there isnt a triangle there
a Step-by-step explanation: the total degree of a triangle is 180 degrees
Evaluate the function rule below when x= -2
F(x)=3x+2
Help me pls I do not want to fail math.
Answer:
2a=3b
Step-by-step explanation:
b/a=2/3 not b/a =3/2
b/3=a/2 not b/2=a/3
2a/3=b not 3a/2=b
hope it's helpful ❤❤❤
THANK YOU
Suppose your friends have the following ice cream flavor preferences: 70% of your friends like chocolate (C). The remaining do not like chocolate. 40% of your friends like sprinkles (S) topping. The remaining do not like sprinkles. 25% of your friends who like Chocolate (C) also like sprinkles (S). Of the friends who like sprinkles, what proportion of this group likes chocolate
Answer:
The proportion of this group that likes chocolate is 0.625.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Likes sprinkles
Event B: Likes chocolate
25% of your friends who like Chocolate (C) also like sprinkles (S).
This means that [tex]P(A \cap B) = 0.25[/tex]
40% of your friends like sprinkles (S) topping.
This means that [tex]P(A) = 0.4[/tex]
Of the friends who like sprinkles, what proportion of this group likes chocolate
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.25}{0.4} = 0.625[/tex]
The proportion of this group that likes chocolate is 0.625.
There are 285 sixth graders going on a class trip to the museum.each bus can hold
25 students. How many buses will be needed to transport all the students? Will all the buses be fuller? If not how many students will be on the last bus.
the buses be filled? If not, how many stuc
Answer:
11bus fuller last bus 10
Step-by-step explanation:
25×11=275
10
What is the value of b?
25-15
3b +25
Answer:
B=34
Step-by-step explanation:
2b-15+3b+25=180
5b+10=180
5b=170
b=34
27 points! please help me if you can <3 and yes I have been working on this for almost 4 hours
Answer:
330 milkshakes
Step-by-step explanation:
240 divided by 8 = 90
90 = number of large milkshakes
240 + 90 = 330
I can’t figure this out for the life of me.
Answer:
d
Step-by-step explanation:
ur answer is answer d
Which ordered pair is a solution of y>2x-3?
A. (-1,-5)
B. (1,-5)
C. (2,3)
D. (2,-2)
Answer:
C. (2, 3)Step-by-step explanation:
Given
y > 2x - 3Substitute the values to verify which is correct
A. (-1, -5)
-5 > 2(-1) - 3 ⇒ - 5 > -5 FalseB. (1, -5)
-5 > 2(1) - 3 ⇒ -5 > -1 FalseC. (2, 3)
3 > 2(2) - 3 ⇒ 3 > 1 TrueD. (2, -2)
-2 > 2(2) - 3 ⇒ - 2 > 1 FalseAnswer:
we have
y>2x-3
now
For
A. (-1,-5)
-5>-2-3
-5>-5
It is equal. So false.
B. (1,-5)
-5>2-3
-5>-1
-1 is not greater than -5
So false
For
C. (2,3)
3>2-3
3>-1
3 is greater than -1
So True
For
D. (2,-2)
-2>2-3
-2>-1
-2 is not greater than -1
So false
The radius of a circle is 7 centimeters. What is the circle’s circumference?
Use 3.14 for pi
Answer:
43.96
Step-by-step explanation:
Circumference formula: 2 x r x pi
2 x 7 x 3.14= 43.96
I need help please. thank you
Answer:
the answer is b I'm pretty sur3
You and your brother collect baseball cards.He has 15 more cards in his collection than you have.Expression Information.
Answer:
x+15
Step-by-step explanation:
X stands for the number of cards the one person represent add 15 to the whatever number of cards you have.
Answer:
mep
Step-by-step explanation:
mep
please help.................
Answer:
Is that thick line an equal or a minis sign? I cant see it.
Raj is 3 inches taller than Howard. Let h represent Howard’s height. Write an algebraic expression to represent Raj’s height.
Answer:
h + 3
Step-by-step explanation:
Since Raj is 3 inches taller than Howard (h), Raj would be h + 3 inches taller than Raj, giving you your answer.
Answer:
h + 3
Step-by-step explanation:
h + 3
3 = they are 3 inches TALLER which means you need to add 3
h = Howards height
So all you would need to do is add Howards age by 3, and you will get Raj's height. They said that " Raj is 3 inches taller than Howard", so that means when you get Howard (h) you would need to add it by 3 (3 inches taller), and you will be able to get Raj's height.
Hope this helped!
Have a supercalifragilisticexpialidocious day!
By rounding to 1 significant figure, estimate
361.42 / 79.45
Answer: 5
Step-by-step explanation:
To solve this, we would have to divide 361.42 by 79.45. This will be:
= 361.42 / 79.45
= 4.549
We can see that 4.549, has 4 significant digits. By the time we round it off to 1 significant number, we would have 5.
I need help finding the answer to this:
Nathan opens a new savings account and makes an initial deposit of $400. If the account earns 2% annual interest, how much interest will he earn in 9 months?
Answer:
He will earn $6 in interest in 9 months.
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:
[tex]E = P*I*t[/tex]
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:
[tex]T = E + P[/tex]
Initial deposit of $400.
This means that [tex]P = 400[/tex]
2% annual interest
This means that [tex]I = 0.02[/tex]
How much interest will he earn in 9 months?
An year has 12 months, this means that [tex]t = \frac{9}{12} = \frac{3}{4} = 0.75[/tex]
This is E. So
[tex]E = P*I*t = 400*0.02*0.75 = 6[/tex]
He will earn $6 in interest in 9 months.
Choose all that apply: 4/6 + 2/3 =
Answer:
1.3 & 1/3
Step-by-step explanation: