Answer:
See proof below
Step-by-step explanation:
show that
sinx/1+cosx=tanx/2
From LHS
sinx/1+cosx
According to half angle
sinx = 2sinx/2 cosx/2
cosx = cos²x/2 - sin²x/2
cosx = cos²x/2 - (1- cos²x/2)
cosx = 2cos²x/2 - 1
cos x + 1 = 2cos²x/2
Substitute into the expression;
sinx/1+cosx
= (2sinx/2 cosx/2)/2cos²x/2
= sinx.2/cos x/2
Since tan x = sinx/cosx
Hence sinx/2/cos x/2 = tan x/2 (RHS)
This shows that sinx/1+cosx=tanx/2
Juan is taking out a loan for 2,500 with an annual compound interest rate of 7% for 3 years. Juan will not make any additional deposits or withdrawals. How much interest will he have to pay at the end of the loan period?
Answer:
$ 3,062.61
Step-by-step explanation:
Account Balance= 2,500(1+ .07/1)^3
What is the slope of a line that is parallel to the line shown?
−4
-4/3
-2/3
-3/4
Answer:
-4/3 the slopes are always the same when lines are parallel
pleaseeee help me either no one is answering or they're wrong w no explanation:(
i realllyyy need the help :(((
will mark u brainliest if that helps
Answer:
Felicia, these questions are tough for a lot of reasons, so it makes sense to me that nobody is giving you the right answers. here is a right one :)
Step-by-step explanation:
1st we need a strategy. brainstorm :P we are given the cost of material for boxes in area, we are asked how much 12 boxes would cost. let's find the area of the material for one box multiply that by the given cost. and then multiply that by 12 for the total cost. seem good? Yes there are other good ways to solve this problem if you're thinking that. this is just how I'm arbitrarily choosing to solve it.
1) surface area of prism box
1a) triangles on ends
1/2* b*p ( I think 6.2 is P for you, not positive about that)
1/2*6.4*6.2= 19.84
1b) flat sides
6.4*25 =160 ( this is B )
1c) add up the 5 sides
160*3 + 19.84 * 2 = 839.68 [tex]cm^{2}[/tex]
2) find the cost on 1 box
839.68 [tex]cm^{2}[/tex] * $0.0001 = 0.8397
about $0.84
3) find the cost for 12 boxes
0.8397 * 12 = 10.076
about $10.08
try those answers :)
Which of the sets of terms below does NOT include like terms? *
9m, -9m, 7m
1p, -7p, 7p
30, 25, -25
6x, 6y, 6z
50 points! Mhanifa please help! I will mark brainliest! Random answers will be reported guys so don’t answer if you don’t know it!
Answer:
136
Step-by-step explanation:
For the second question, it is 136 because for triangles all side when added always equal to 180, so if you add 24 and 20 (which = 44) and subtract it from 180, it gives you 136, which is the answer and the angle of n.
Answer:
hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
Step-by-step explanation:
triangle KMZ~ triangle KDH; find x
equivalent equation for x/5+1=-6
Answer: -35
Step-by-step explanation:
Answer:
The LCD is 6, I think.
Step-by-step explanation:
imagine when u look in the mirror ur the reflection and what u think is the reflection is the real u
Find the value of c using the distributive property. Write your answers in the blanks
2 (19-c) = 2 (6C +2) + 3c
38 - __= 12c +4 +3c
38-2c =___+4
34=____. ____=c
Someone plssss help
Answer:
1. 2c
2. 15c
3. -17c , 2 = c
Step-by-step explanation:
Answer: 2c , 15c, -17c ( c=2)
Step-by-step explanation:
use the distributive property
Scott did an experiment in which he flipped a coin 100 times. His coin landed on heads 40 times and tails 60 times. What conclusions could your draw from Scott’s experiment?
Select all that apply:
A. Scott did not do the experiment right.
B. The experimental findings are close to the theoretical probability of 50%.
C. There must have been a mistake in Scott’s data since the experimental probability is not close to the theoretical probability.
D. You cannot draw a conclusion about the experiment unless you do it yourself.
E. If Scott performed more trials and flipped the coin 1000 times, the experimental probability would be expected to be closer to the theoretical probability of 50%
Giving 10 points!!!
Work out 62.4×0.06 using the (equivalent calculation).
Please!!!!!!!
Answer:
[tex] \boxed{3.744}[/tex]
Step-by-step explanation:
[tex]62.4 = \frac{624}{10} \\ 0.06 = \frac{6}{100} \\ 62.4 \times 0.06 = \frac{624}{10} \times \frac{6}{100} = \frac{468}{125} = 3.744[/tex]
Andrew jogs 25 5/6 kilometers a week. Yen jogs 13 3/4 kilometers a week. What is the total distance they jog in a week?
Answer: 39 7/12km
Step-by-step explanation:
From the question, we are informed that Andrew jogs 25 5/6 kilometers a week while Yen jogs 13 3/4 kilometers a week.
The total distance they jog in a week will be the addition of the distance that each person jogged. This will be:
= 25 5/6 + 13 3/4
= 25 10/12 + 13 9/12
= 38 19/12
= 38 + 1 7/12
= 39 7/12
The total Distance covered by both of them is 39 7/12 kilometers
How to fix this Inequalities
-2 (h - 3)> - 10
what is the value of x in the diagram below?
Fill in the blank with the correct term or number to complete the sentence.
The volume of a rectangular prism can be found by multiplying the length by the ______ by the height.
A.
width
B.
volume
C.
space
D.
side
WHOEVER ANSWERS FIRST GETS BRAINLEST FIRST PERSON BE THE LUCKY DUCK!!!!
Arrange the following numbers in ascending order:
34 566, 356 333, 3657, 305 760
Answer:
Step-by-step explanation:
ascending means going up so from smallest to biggest number
34, 305, 333, 356, 566, 760, 3657
Answer:
34,305,333,356,566,760,3657
You are looking to buy a new Chromebook that is normally $250 website is offering $50 off and website B is offering 25% off which is the better deal
Answer:
The better deal would be website B.
Step-by-step explanation:
Website A is offering $50 off so you would so $250 - $50 = $200
Website B is offering 25% off so you would do (250 · 25)/100 = $62.50
The final price would be $250 - $62.50 = $187.50
So, overall with website A you'd be saving $50 dollars, and with website B you'd be saving $62.50 dollars, with website B you'd be saving more, so therefore the answer is website B.
Hope this helps you :)
ASAP The first swing of a pendulum is 24cm. If each swing ia 3/4 of the previous swing, how many swings will it take till the pendulum swings only 4cm? (round to nearest whole number)
PLS ONLY ANSWER IF YOU KNOW THE ANSWER, do not put links in the answer. Pls do not answer with links.
Answer:
96
Step-by-step explanation:
24/ (1 - 3/4)
24 / (1/4)
24 x 4 = 96
What is (x^1/2+8)^1/2?
please help me on this question
Answer:
15 ounces left
Step-by-step explanation:
because 1/10 is 3 ounces and 2/5 is 12 ounces.
more in depth.
30×1/10 = 3
30×2/5 =12
and 3 + 12 is 15
and 30- 15 is 15 ounces
solve the systems of equations for
y=x+16
y=5x-12
Answer:
(7, 23).
Step-by-step explanation:
y=x+16
y=5x-12
Subtract the equations
0 = x - 5x + 16 - (-12)
-4x + 28 = 0
4x = -28
x = 7
plug x = 7 in first equation:
y = 7 + 16 = 23.
What is the area of this triangle?
PLEASE SOMEONE GIVE ME THE ANSWER IM STUCK ON IT I WILL GIVE BRAINLIEST.
Answer:
Step-by-step explanation:
area of triangle is 1/2xbasexheight.
So the answer would be 18. GL!
_______
1/2bh
so 1/2 12x3
1/2x36.
and that equals 18! <3
Answer:18
Step-by-step explanation:
Remember- area of triangle = bh/2
So, 12 x 3
36
–––
2
So, 18 inch ^2
20 cm
10 cm
20 cm
10 cm
10 cm 10 cm
Answer:
where is the question
Step-by-step explanation:
ok
The net of a square pyramid and its dimensions are shown in the diagram. 6 cm 4 cm Square Pyramid 8 cm Square Pyramid Net What is the total surface area of the pyramid in square centimeters?
Answer: Technically I would need to see the dimensions well I'm not that accurate without them but if I understand this correctly its 192 if I understand correctly
Step-by-step explanation:
Which fraction is the least? A. 12 B. 15 C. 17 D. 110
Answer:
a i think not for sure though
Step-by-step explanation:
Convert 315 degrees to radians.
Answer:
5.4977 radians or( 7/4)pie
Step-by-step explanation:
315* (pie/180)
5.4977 radians or( 7/4)pie
7π / 4 is equal to 315°
The area of the hardscape is 3x^2 + 13x + 4. what is the length and width of the hardscape
Answer:
[tex](3x+1)[/tex]
[tex](x+4)[/tex]
Step-by-step explanation:
Assuming that the given surface is two-dimensional, one can simply factor the given polynomial to find the dimensions of the surface.
[tex]3x^2 + 13x + 4[/tex]
Just by looking at the polynomial, it is fairly obvious that the factors are;
[tex](3x+1)(x+4)[/tex]
One can check this by distributing, multiply every term in one of the parenthesis by every term in the other. Then combine like terms,
[tex]3x^2 + 12x + x + 4\\\\3x^2 + 13x + 4[/tex]
Without further information, it is impossible to determine which is the length, and which is the width, one just knows that the dimensions of the surface are;
[tex](3x+1)\\\\(x+4)[/tex]
i really really need this answer PLSSSSSSSSS
Answer: x=112
Step-by-step explanation: If you add 35 and 33 you would get 68 and if you subtract 68 from 180 you will get 112. I hope this helps!
Answer:
- brainliest
Step-by-step explanation:
I’m totally confused can someone please help me!!!
After spending $5, Isaac had twice as much money as Luke. If Luke had $10, how much money did Isaac have at first?
Answer:
$25
Step-by-step explanation:
10*2=20
20+5=25