Answer:
1674
Step-by-step explanation:
Answer:
1674
Step-by-step explanation:
if cos theta + sin theta = root 2 cos thetha prove that cos theta - sin theta = root 2 sin theta
Answer:
We have:
If:
Cos(θ) + Sin(θ) = √2*cos(θ)
We want to prove that:
Cos(θ) - Sin(θ) = √2*Sin(θ)
Well, let's start with the first relation:
Cos(θ) + Sin(θ) = √2*cos(θ)
Now we can subtract 2*Sin(θ) and we will get:
Cos(θ) + Sin(θ) - 2*Sin(θ) = √2*cos(θ) - 2*sin(θ)
Cos(θ) - Sin(θ) = √2*cos(θ) - 2*sin(θ)
Now, we also can rewrite the first equation as:
Cos(θ) + Sin(θ) = √2*cos(θ)
Cos(θ) - √2*cos(θ) = - Sin(θ)
Cos(θ)*( 1 - √2) = -Sin(θ)
Cos(θ) = -Sin(θ)/( 1 - √2) = Sin(θ)/(- 1 + √2)
We can replace this in the right side of theequation:
Cos(θ) - Sin(θ) = √2*cos(θ) - 2*sin(θ)
Cos(θ) - Sin(θ) = √2* Sin(θ)/(- 1 + √2) - 2*sin(θ)
Cos(θ) - Sin(θ) = (√2/(- 1 + √2) - 2)*Sin(θ)
Now we have this:
√2/(- 1 + √2)) - 2 = a
if we multiply all by (-1 + √2) we get:
√2 - 2*(-1 + √2) = a*(-1 + √2)
√2 + 2 - 2*√2 = a*(-1 + √2)
2 - √2 = a*(-1 + √2)
√2*(√2 - 1) = a*(-1 + √2)
√2*(√2 - 1)/(-1 + √2) = a
√2 = a
Then:
√2/(- 1 + √2)) - 2 = √2
If we replace this in the equation:
Cos(θ) - Sin(θ) = (√2/(- 1 + √2) - 2)*Sin(θ)
We get:
Cos(θ) - Sin(θ) = √2*Sin(θ)
Which is the thing we wanted to get.
Please find attached herewith the solution of your question.
If you have any query, feel free to ask.
Please help! Will mark brainliest if correct! Worth 20 points!
Identify the relationship between angles x and y
Answer:
Therefore the two angles labelled x are equal. Also, the two angles labelled y are equal. We know that x, y and z together add up to 180 degrees, because these together is just the angle around the straight line. So the three angles in the triangle must add up to 180 degrees.
Step-by-step explanation:
i have this question answer on my notebook good thing your lucky :D
Please help ASAP!!!!!!
Answer:
what are the answer choices. List them out and do the process of elimination and we could go from there ig
Step-by-step explanation:
Solve 2/3x -1/5> 1
x>
Answer:
Step-by-step explanation:
x>9/5
Let △ABC be a right triangle with m∠C = 90°. Given tan ∠B = 1, find tan ∠A.
The value of tan∠A form the right angled triangle ABC is 1.
Trigonometric ratioTrigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Given that △ABC be a right triangle with m∠C = 90°. Also, tan∠B = 1. Hence:
tan∠A = (tan∠B)⁻¹ = 1
The value of tan∠A form the right angled triangle ABC is 1.
Find out more on Trigonometric ratio at: https://brainly.com/question/4326804
Give one pair of vertical angles and one pair of supplementary angles shown in the figure below.
Answer:
Vertical : Angles 1 & 4 Supplementary: 5 & 6
Step-by-step explanation:
Vertical angels are angles that have the same measure that are opposites of each other (1 & 4) and supplementary angles are 2 angles that equal 180 degrees that are right next to each other or right above each other (5 & 6) (3 & 5)
Pleaseee helppp answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answer:
perimeter of any figure can be define the sum of all sides.
perimeter of the figure=33.4ft + 6.5ft + 9ft + 9ft + 9ft + 6.5ft + 7.7ft + 16.7ft
perimeter of the figure=97.8 ft.
Please help with this algebra
Answer:
A
Step-by-step explanation:
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BRAINLIEST
I forgot how to tell time so maybe show work?
Answer:
1 hour 37 mins
Step-by-step explanation:
finding measures of the numbered angles. no explanation.
Help me plssss!!!!!!!
PLEASE HELP ME WITH THIS!!
World Gym has an initial fee of $100 and $50 per month. Flex Gym has an initial fee of $200 and $25 per month. How many months will it take
until you would pay the same amount to join at both gyms?
a. 4 months
b. 5 months
C. 2 months
d. 6 months
answer:
a. 4 months
step-by-step explanation:
set up an expression for each and put them equal to each otherthis is the way you can use to solve these kinds of problemsbreak down the question into partsm stands for months
world gym = 100 + 50m
flex gym = 200 + 25m
now put them equal to each other to know how many months it will take to pay the same amount to join100 + 50m = 200 + 25m
50m = 100 + 25m
25m = 100
m = 4
this means it will take 4 months to pay the same amount to joina function whose graph forms a straight line
Answer:
linear
Step-by-step explanation:
brainliest please?
° • .°• ✯
★ * ° °·
. • ° ★ • ☄
▁▂▃▄▅▆▇▇▆▅▄▃▁▂
To prove that VWZ~ YXZ by the SAS similarity
theorem, which other sides or angles should be used?
To prove that △VWZ ~ △YXZ by SAS theorem, we must prove that two of the sides for each triangle is congruent, and the angle inbetween the sides are congruent. Depending on which side is given to you, choose the one that conforming to it.
A car travel 140 miles in 3 hours (with a constant speed). How far can it travel in 7 hours (with the same speed)?
Answer:
326.666miles
Step-by-step explanation:
v=distance/time (v=d/t)
d=140 miles
t=3hrs
v=d/t, v=140/3, v= 46.666mph
v=46.666mph
t=7hrs
d=?
v=d/t, d=vt, d=46.666mph x 7hrs, d= 326.666miles
A parallelogram has 2 congruent consecutive sides then it is a square. true or false
Answer:
true
Step-by-step explanation:
a parallelogram has 2 congruent consecutive sides then it is a square
Using distributive property what is the value of the expression for 2(-5 + 3)
Answer:
-4
Step-by-step explanation:
According to the rules of the distributive property, you have to multiply the term outside of the parentheses with the terms inside the parentheses first.
1. 2(-5)=-10
2. 2(3)=6
The terms that we have are now -10 and 6. Add them together to get the final answer.
-10+6=-4
0.6 ft.
216 in.
0.6 ft.
0.6 ft.
B
A
Given the conversion factor 17th, which has the
larger volume?
Answer:
B because of her size
I hope
PLEASE HELP ASAP! WILL MARK BRAINLIEST
Answer:
201.06
Step-by-step explanation:
https://rb.gy/xgo4xh
Answer:
A=64π
Step-by-step explanation:
A=π[tex]r^{2}[/tex]
radius=8
A=π[tex]8^{2}[/tex]
A=64π
≈201.06
Can someone help me with Q1 And Q2 please !!!!
Answer:
Q1.acceleration=3u/20
Q2.a=13.908m/s
b.50.069km/hr
Step-by-step explanation:
Q1.V=U+at
u=um/sv=4um/st=20sv=u+at
substituting we have a=3u/20m/s^2 in terms of u
Q2.velocity =distance/time
v=100/7.19=13.908m/s
whats the hcf of 108 and 308
Answer:
i think this should help
CAN SOMEONE PLEASE HELP ITS DUE SOON WILL MARK BRAINLIEST!!!
Answer:
6 bowls of ramen
Step-by-step explanation:
because $1.50 * 4 is 6
49.50 - 6 = 43.50
43.50/7.25 = 6
Answer:
a)2(1.50)+7.25x=47.50
b) about 6 bowls.
Step-by-step explanation:
Right off the bat, we know that each drink is $1.50. So buying two would be $3 so far. Subtract $3 from $49.50. Getting $47.50. Now we know the drinks so we must divide 47.50 by 7.25, equalling 6.5 and so on. To round it we can say 6 bowls.
What is the pattern here?
1, 3, 9, 27, 81, 243
Answer:
all number are multiply by 3 ( ×3)
plz follow me
Answer:
This sequence follows a geometric pattern
Step-by-step explanation:
1 x 3 = 3
3 x 3 = 9
3 x 27 = 81
and so on
Find the definition for Rectangle
Answer:
a plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square.
Step-by-step explanation:
please mark brainiest
Easton is trying to pick an outfit for the first day of school he can choose from two pairs of pants six T-shirts and two pairs of shoes how many different outfits does Easton have to choose from
Answer:
24 combinations
Step-by-step explanation:
Can someone help me find the rise over run in this?
Johnny is now 30% older than his sister Sarah. If Sarah is now 12 years old, how old is Johnny
Answer:
15.6 years old
Step-by-step explanation:
12 x 1.3 = 15.6
PLEASEE HELP I NEED HELP PROBLEM
Melinda takes readings of the depth of water in a
pond every day for 1 week. Here are her results in
meters:
6.5, 6.8, 7.2, 6.8, 6.6, 6.3, 6.4
What are the mean, median, and mode water levels
for the week, rounded to the nearest tenth?
Answer with supporting work:
Answer:
a) The Mean of the water levels for the week (μ) = 6.657
b) The Median of the water levels for the week = 6.6
c) Mode = 6.8
Step-by-step explanation:
Step(i):-
Given that the data per one week
6.5, 6.8 , 7.2 ,6.8 ,6.6 ,6.3 , 6.4
we have to find the mean of the given data
Solution:-
Mean = ∑x /n
[tex]Mean = \frac{6.5+6.8+7.2+6.8+6.6+6.3+6.4}{7}[/tex]
Mean = [tex]\frac{46.6}{7}[/tex]
Mean(μ) = 6.657
The Mean of the water levels for the week (μ) = 6.657
Step(ii):-
Given that the data per one week
6.5, 6.8 , 7.2 ,6.8 ,6.6 ,6.3 , 6.4
we have to find the Median of the given data
A median is the center value of a given data when arranged in an order
6.3 6.4 6.5 6.6 6.8 6.8 7.2
The Median = middle of the given data
The Median = 6.6
Step(iii):-
Given that the data per one week
6.5, 6.8 , 7.2 ,6.8 ,6.6 ,6.3 , 6.4
we have to find the Mode of the given data
Mode = Value repeated the most number of times
The value 6.8 repeated two times
∴ Mode = 6.8
n is an integer and - 2<n+3<4, write down the possible values of n from smallest to largest
Answer:
- 4, - 3, - 2, - 1, 0
Step-by-step explanation:
Given
- 2 < n + 3 < 4 ( subtract 3 from each interval )
- 5 < n < 1
This indicates that n ≠ - 5, 1 but all values in between, that is
n = - 4, - 3, - 2, - 1, 0 ← possible values of n