Step-by-step explanation:
sin²(x) + cos²(x) = 1
cos²(x) = 1 - sin²(x)
cos(x/2) = ±sqrt((1 + cos(x))/2)
in our case
sin(x) = 1/4, tan(x) > 0, so cos(x) is positive too.
sin²(x) = 1/4² = 1/16
cos²(x) = 1 - 1/16 = 15/16
cos(x) = sqrt(15)/4
cos(x/2) = sqrt((1 + sqrt(15)/4)/2) = sqrt(1/2 + sqrt(15)/8) =
= sqrt(8/16 + 2×sqrt(15)/16) =
= 1/4 × sqrt(8 + 2×sqrt(15))
so, D is correct
Jessica took out a Stafford loan worth $7,175 at the beginning of her six-year college career. The loan has a duration of ten years and an interest rate of 6. 3%, compounded monthly. How much greater will Jessica’s monthly payment be if the loan is unsubsidized than if the loan is subsidized? Round all dollar values to the nearest cent. A. $36. 98 b. $23. 07 c. $37. 67 d. $166. 37 Please select the best answer from the choices provided A B C D.
Answer:
It’s option A, Choi’s option A
Step-by-step explanation:
Can anyone solve this correctly?
Answer:
C. 113.04 ft²
Step-by-step explanation:
Area of a circle = π×radius²
Since diameter is 12, the radius is 6
π×(6)² = π×36 = 113.04
You and a friend are playing a game by tossing two coins. If both coins land on heads,
you win. If both land on tails, your friend wins. Otherwise, nobody wins. The table shows
the possible outcomes
Is this a fair game?
Answer:
yes
Step-by-step explanation:
this is because you both have to get 2 of them on a head or tails
The given game is fair, as both, you and your friend have equal probabilities of winning.
What is the probability of an event?The probability of an event is the fractional value showing how likely an event is to occur. It is determined by the formula,
The probability of an event
= the number of outcomes favorable to the event/total number of outcomes.
How do we solve the given question?All possible outcome when two coins are tossed is {HH, HT, TH, TT}
∴ The total number of outcomes = 4.
For you to win, we need both heads, that is {HH}.
∴ Number of outcomes in your favor = 1
Probability(you win) = 1/4
For a friend to win, we need both tails, that is {TT}.
∴ Number of outcomes in your friend's favor = 1
Probability(friend win) = 1/4
∵ Probability(you win) = Probability(friend win), we can say that the game is fair.
Learn more about Probability at
https://brainly.com/question/24756209
#SPJ2
205, 201, 197,...
Find the 35th term.
Answer:
the 35th term or a(35) is 69
Step-by-step explanation:
the first thing you must do to solve this equation is to write for the nth term
this is
a(n) = 209 - 4n
i got 209 by adding 4 to 205 to find the 0th term
so to solve the equation for the 35th term oyu just plug it in
a(35) = 209 - 4(35)
a(35) = 209 - 140
a(35) = 69
How do you write 3.5 × 10^3 in standard form?
Answer:
[tex]3500[/tex]
Step-by-step explanation:
Given the following question:
[tex]3.5\times10^3[/tex]
To convert a scientific notation into standard form we first need to keep in mind that the exponent in indeed a positive. Knowing this we know that the decimal point is going to move to the right.
Since the exponent is three, we know that the decimal point is going to move to the right THREE times.
[tex]3.5\times10^3[/tex]
[tex]3.5\times10^3=3.5.0.0.[/tex]
[tex]3.5.0.0.=3500[/tex]
[tex]=3500[/tex]
Your answer in standard form is "3500."
Hope this helps.
Find the number of diagonals in a regular polygon with 7 sides
Answer:
To find the total number of diagonals in a polygon, multiply the number of diagonals per vertex (n - 3) by the number of vertices, n, and divide by 2 (otherwise each diagonal is counted twice).
Step-by-step explanation:
Find the measure of the missing angle.
Answer:
a = 146
Step-by-step explanation:
The line is 180 degrees so one angle is 34 degrees and the other one would have to add up with it to make 180 degrees. This is where the 146 degrees comes in.
146 + 34 = 180 = degrees
place can help.
place
Answer:
30° , 60° , 90°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
sum the 3 angles and equate to 180
x + 2x + 3x = 180 , that is
6x = 180 ( divide both sides by 6 )
x = 30
2x = 2 × 30 = 60
3x = 3 × 30 = 90
the 3 angle measures are 30° , 60° , 90°
Which of the
following proves
these triangles are
congruent?
A. Neither, they are not congruent
B. ASA
C. AAS
Answer:
AAS
Step-by-step explanation:
you have the 90 degree angles in both triangles, then the vertical angles, and you have the one side congruent as well.
Kayla earns 80.00 per day at her job and spends 4.00 per day on transportation. What set of integers best represents these values?
A flag pole casts a shadow that’s 5 feet. A rope attached to the flag is 13 feet long . How tall is the flag poll
Explanation:
I'm assuming the rope is fully taut and connects the top of the flag pole with the tip of the shadow.
Draw a right triangle that has a horizontal leg of 5 feet and a hypotenuse of 13 feet. I'll call these a = 5 and c = 13.
Use the pythagorean theorem to find b
[tex]a^2 + b^2 = c^2\\\\5^2 + b^2 = 13^2\\\\25 + b^2 = 169\\\\b^2 = 169-25\\\\b^2 = 144\\\\b = \sqrt{144}\\\\b = 12[/tex]
The vertical leg of the right triangle is 12 feet, which is the height of the flag pole. We have a 5-12-13 right triangle.
Chef Alfredo has noticed some changes in his business. He usually sells 45 pizzas on Sunday afternoons. During football season, he has big television screens televising NFL games and he sells 72 pizzas. What is the percent change? is it an increase or decrease? show your work to solving the problem, write your answer in a complete sentance.
Answer:
110
Step-by-step explanation:
do you multiply 72 times 45 that equals 110
3(a+2)+-8=7Please who can solve the equation for me
Answer:
3
Step-by-step explanation:
3a + 6 - 8 = 7
3a - 2 = 7
3a = 9
a = 3
Let me know if this helped <3
Answer:
3+8+11-8=3x2=6=7
A=1
Step-by-step explanation:
My head just went crazy thinking about that so please mark me as brainliest
help please :(((((((((
Answer:
Im thinking a
Step-by-step explanation:
It cant be c, since you cant have "too many points" and it cant be d because it is a linear function thing, and i am leaning more towards a, because B just sounds weird to me. never seen an answer be that for a question like this.
Instruction:
Each box on this Map is 20 Degrees. Identify the absolute locations of each places named A, B, C, D, and E.
Answers:
A = 20° North, 20° WestB = 40° North, 120° EastC = 20° South, 120° WestD = 40° South, 60° EastE = 60° North, 40° West==========================================================
Explanation:
The equator is the middle-most horizontal line. This is the thickest horizontal line of the group.
The prime meridian is the thickest vertical line shown at the center.
Start where those two lines cross. We call this 0 degrees North and 0 degrees East.
Then move 20 degrees west and 20 degrees north to arrive at point A.
Therefore, we can describe the absolute location of point A by saying "20° N, 20° W". Always list the north/south coordinate first (aka the latitude) before listing the east/west coordinate (longitude).
You probably have come across this type of notation before if you have worked with GPS.
------------------------
Point B is located at the absolute position of 40° N, 120° E
The 40 is from moving 2 ticks up from the center. Each tick is 20 degrees, so 2*20 = 40 degrees total north. The 120 is from 6 movements to the east, so 6*20 = 120 degrees east in total.
Like with point A, and the rest of the points as well, we always start at the center.
-------------------------
Again start at the intersection of the equator and the prime meridian.
We then move 1 tick down, to move 1*20 = 20 degrees south.
We also move 6 tickmarks west to move 6*20 = 120 degrees west.
Therefore, point C's absolute location is 20° S, 120° W
-------------------------
The same idea will play out to locate points D and E.
PLEASE HELP THANK YOU
10.
At a bankruptcy sale, stereo sets were advertised at 60% off. Sales tax is l%. HOW
much would be paid in all for a stereo regularly selling for $68.95?
Answer:
27.86
Step-by-step explanation:
find percent off
68.95 × 0.60 = 41.37 amount percent off
68.95 - 41.37 = 27.58 total advertised price with out tax
sales tax
27.58 × 0.01 = 0.2758 tax amount
27.58 + 0.2758 = 27.8558 = 27.86 total with tqx
Line b has a slope of 8/3. Line c is perpendicular to b. What is the slope of line c
Answer: -3/8
Step-by-step explanation:
Perpendicular lines have slopes that are negative reciprocals of each other.
Marlon has 4 books to read for homework this week. if he reads 2/3 of a book each night, how many nights will it take to read all four books
How do I solve this question?
Answer:Find a pair of integers whose product is c c and whose sum is b b
Step-by-step explanation:
4. What is the probability that a randomly selected student likes to play video games but does not select math as their favorite subject?
41%
29%
70%
12%
Answer:
I think it would be 29% because it says that 41% of them like video games and math and that 29% of them do not like math but do like and the other two don't like math or video games
Step-by-step explanation:
Answer:
29%
Step-by-step explanation:
picked the box that was on the bottom left
Which of these are equal to 2100???
3^3
3^7
3^10
3^25
Answer: 3^7
Step-by-step explanation: done!
HELPPP MEEE
Solve 12/y = 4/3
The solution is y=__
Step-by-step explanation:
12/y = 4/3
y=9
hope it helps you
answer for a lot of points !!!!
Answer:
1. Simile
2. Stanza
Step-by-step explanation:
Simile has words such as: "like" and "as".
Stanza because they can set the structure, pattern, and mood of the poem that proses do for paragraphs.
I hope this helps!
Answer: smile and stanza
Step-by-step explanation:
ABC is a triangle, right-angled at A. If AB = 6 and AC = 8, find BC.
Given :
ABC is a right angled triangle at A where AB is 6cm, AC is 8cm.To Find :
BC.Solution :
Let the Base be AB cm, Perpendicular be AC cm and Hypotenuse be BC.We know that,
[tex] \qquad \sf{ \pmb{(Hypotenuse ) {}^{2} = (Base) {}^{2} + (Perpendicular) {}^{2} }}[/tex]
Substituting the given values in the formula :
[tex] \qquad\sf{ \dashrightarrow{ ( BC ) {}^{2} = (AB) {}^{2} + (AC ) {}^{2} }}[/tex]
[tex] \qquad\sf{ \dashrightarrow{ ( BC ) {}^{2} = (6) {}^{2} + (8 ) {}^{2} }}[/tex]
[tex] \qquad\sf{ \dashrightarrow{ ( BC ) {}^{2} = 36 + 64 }}[/tex]
[tex] \qquad\sf{ \dashrightarrow{ ( BC ) {}^{2} = 100 }}[/tex]
[tex] \qquad\sf{ \dashrightarrow{ BC {} = \sqrt{100} }}[/tex]
[tex] \qquad\sf{ \dashrightarrow{ BC {} = 10 }}[/tex]
⠀
Therefore, BC = 10 cmGiven the definitions of f(x) and g(x) below, find the value of (gºf)(-5).
-
f(x) = x2 + 6x + 3
g(x) = 2x + 8
-
Answer:
(g ○ f)(- 5) = 4
Step-by-step explanation:
evaluate f(- 5) then substitute the value obtained into g(x)
f(- 5) = (- 5)² + 6(- 5) + 3 = 25 - 30 + 3 = - 2 , then
g(- 2) = 2(- 2) + 8 = - 4 + 8 = 4
(g ○ f)(- 5) = 4
The art teacher spends $120 on art supplies for a class project. The art teacher spends $48 on poster boards and buys jars of paint that cost $6 each. How many jars of paint does the art teacher buy
please answer quick as possible
Answer:
The correct option is B
i just answer that on our test and i got A+
Answer:
p + 2
Step-by-step explanation:
[tex]A=lb \\ \\ \implies \: b = \frac{A}{l} \\ \\ \implies \: b = \frac{p(4 {p}^{2} - 16) }{4p(p - 2)} \\ \\ \implies \: b = \frac{4p({p}^{2} - 4) }{4p(p - 2)} \\ \\ \implies \: b = \frac{4p({p}^{2} - {(2)}^{2} ) }{4p(p - 2)} \\ \\ \implies \: b = \frac{\cancel{4p({p} - {(2)})}({p} + {(2)}) }{\cancel{4p(p - 2)}}\\ \\ \implies \huge \orange{ \: b =(p + 2)}[/tex]
0.5=1/3-|(x-3)/6+x| What is x?
Answer:
the answer here is x=2. it makes it 2/3 equivalent to 4/6 then 4/6-1/6 equals 3/6 which is equivalent to .5 or 1/2. i hope this Helps
Step-by-step explanation:
0.5=1/3-|(x-3)/6+x|
PART 3 OF ME ASKING FOR HELP
Answer:
c
Step-by-step explanation:
9. JKLM is a rhombus with diagonals JL and KM intersecting at N. JL = 18 cm and KL = 15 cm
Find MK.
Answer:
[tex] \tan( \beta ) [/tex]
here we go hope it helps