Answer:
-3>-4 is correct
Step-by-step explanation:
Mathematics question (Optional math)
Answer:
Hi mate!
To prove:-[tex] \bf \sqrt{ \frac{1 + \sin( \theta)}{1 - \sin( \theta)} } = \sec( \theta) - \tan( \theta) [/tex]
Step-by-step explanation:
By taking LHS,
[tex] \maltese \: \: \large \bf \sqrt{ \frac{1 + \sin( \theta)}{1 - \sin( \theta)} } [/tex]
By rationalisation method,[tex] : \longrightarrow \bf \sqrt{ \frac{1 + \sin( \theta)}{1 - \sin( \theta)} \times \frac{1 + \sin( \theta)}{1 + \sin( \theta)} } \\ \\ : \longrightarrow \frac{ {( \sqrt{1 + \sin\theta }) }^{2} }{( \sqrt{1 - \sin( \theta)})(\sqrt{1 + \sin( \theta)}) } \\ \\ : \longrightarrow \frac{ {( \sqrt{1 + \sin\theta }) }^{2} }{ \sqrt{ {1}^{2} - { \sin}^{2} \theta } } \: \\ \\ : \longrightarrow \: \frac{1 + \sin \theta}{ \cos \theta } \\ \\ \longrightarrow \: \frac{1}{ \cos \theta } + \frac{ \sin \theta}{ \cos \theta} [/tex]
[tex] \: \: \: \: \: \bigg\lgroup \because \: \frac{1}{ \cos \theta }\: = \sec \theta \: \\ \: \: \: \: \: \: \: \: \: \: \: \frac{ \sin \theta}{ \cos \theta} = \tan \theta \bigg \rgroup[/tex]
[tex] \implies \boxed{\pink{ \sec \theta + \tan \theta }}[/tex]
Now taking RHS
[tex] \sf \sec \theta + \tan \theta [/tex]
[tex]\implies \: \: \frac{1}{ \cos \theta } + \frac{ \sin \theta}{ \cos \theta} \\ \\ \implies \frac{1 + \sin \theta }{ \cos \theta } [/tex]
Hence, proved
Answer:
[tex]\large{\pink{\underline\textsf{To Prove :-}}}[/tex]
[tex] \sqrt{ \frac{1 + \sin \theta }{1 - \sin \theta } } = \sec \theta + \tan \theta[/tex]
[tex] \huge{\orange{\underline{\textsf{Solution :-}}}}[/tex]
[tex] \sf \sqrt{ \frac{1 + \sin \theta }{1 - \sin \theta } } [/tex]
First we have to rationalize it to remove the square rootNow we will multiply √1+sinθ both sides[tex] \sqrt{ \frac{1 + \sin \theta }{1 - \sin \theta } } \times \sqrt{ \frac{1 + \sin \theta }{1 - \sin \theta } } \\ \sqrt{ \frac{ {(1 + \sin \theta) }^{2} }{(1 + \sin \theta)(1 - \sin \theta) } } \\ \sqrt{ \frac{ {(1 + \sin \theta) }^{2} }{1 - { { \sin}^{2} \theta } } }[/tex]
We know that sin²θ + cos²θ = 1so cos²θ = 1 - sin²θ[tex] \sqrt{ \frac{( {1 + \sin \theta })^{2} }{ { \cos}^{2} \theta} } \\ \frac{1 + \sin \theta }{ \cos \theta } \\ \frac{1}{ \cos \theta} + \frac{ \sin \theta }{ \cos \theta } [/tex]
[tex]\sf{\red { \sec \theta + \tan \theta}}[/tex]
[tex] \sf \huge \purple {HENCE \: \: PROVED! }[/tex]
A dealership paid $8,000 for a car at an
auction. A salesman at the dealership sold
the car for 40% more than the auction
price. If he received a 15% commission on
the difference between the auction price
and sales price, what was his commission?
A. $415
B. $430
C. $465
D. $480
Answer:
D
Step-by-step explanation:
[tex]1.40(8000) = 11200[/tex]
[tex].15(11200 - 8000) = .15(3200) = 480[/tex]
16. Higher Order Thinking
a. Find the value of x given that rls.
m21 = (63 - x)º
m22 = (72 - 2x)
2
b. Find mz1 and m22.
Answer:
[tex]\red{ \bold{m \angle \: 1 = 54 \degree}} \\\: \purple{ \bold{m \angle \: 2 = 54 \degree}} [/tex]
Step-by-step explanation:
[tex](a) \: \: \: \\ r || s \: \: \: (given) \\ \implies \: m \angle \: 1 = m \: \angle \: 2 \\ (corresponding \: \angle s) \\ \implies \: (63 - x) \degree = (72 - 2x) \degree \\ \implies \: 63 - x = 72 - 2x \\ \implies \: 2x - x = 72 - 63 \\ \implies \: \huge \orange{ x = 9} \\ \\ (b) \\ m \angle \: 1 = (63 - x) \degree \\ \implies \: m \angle \: 1 = (63 - 9) \degree \\ \implies \: \red{ \bold{m \angle \: 1 = 54 \degree}} \\ \implies \: \purple{ \bold{m \angle \: 2 = 54 \degree}} \\ ( \because \: m \angle \: 1 = m \: \angle \: 2)[/tex]
help
Use the diagram to complete the statement.
m∠ECF=
Answer:
37°
Step-by-step explanation:
Angle ECF is vertical to angle ACG, so has the same measure. Angle ACG is the second acute angle in right triangle ACG, so is complemetary to angle CAG. It has measure ...
∠ECF = ∠ACG = 90° -∠CAG = 90° -53°
∠ECF = 37°
A 4-column table with 3 rows. the first column has no label with entries students, teachers, total. the second column is labeled wear glasses with entries 32, 4, 36. the third column is labeled do not wear glasses with entries 97, 2, 99. the fourth column is labeled total with entries 129, 6, 135. which statements are correct about the two-way frequency table? check all that apply. the table displays qualitative data. the row categories are "wears glasses" and "do not wear glasses." two teachers do not wear glasses. thirty-six students wear glasses. a total of 6 teachers were polled.
The correct statements about the two-way frequency table are:
Option A, Option C, and Option E.
What is a two-way frequency table?In Mathematics and statistics, A two-way frequency table is a tabular method for displaying relative data for two categories of variables. (See the attached).
The question (attached) shows that:
The frequency of teachers that don't wear glasses is two.The table indicates that the data is qualitative data because it is collected via surveys,The table also shows that a total of 6 teachers were surveyed.Learn more about a two-way frequency table at:
https://brainly.com/question/17284360
Answer:
The answer is a,c, e
Step-by-step explanation:
.......................
what is the value of x?
Answer:
k=10
Step-by-step explanation:
The reason is that we should solve the following equation:
4k+5 + 6k+10 + (180-115) = 180
by doing some basic algebra we get:
10k = 100
thus: k=10
pls helpT-T
(3rd periodical test in mathematics)
where are u from and why u need thes answer
Donald bought 2 game controllers at Gamestop for $36. Each one cost the same amount. What is the unit rate for a single controller? & Jake was offered the following amounts of an entire pizza: 0.6, 4/5, or 0.75. Jake really likes pizza and wants the largest amount of pizza he can get. Which of the amounts should he select?
Don’t add all together
There’s two answers
Answer:
Answer to question 1 is 18
Answer to question 2 is 4/5
Step-by-step explanation:
Question one simply asks how much one controller is
Being that both controllers = 36$
And to find one controller price you would just divide the price by the number of units
36/2= 18
The second question asks how much pizza would be more .6, 4/5 or .8, or .75
Since .8 has the most value or in this case pizza 4/5ths is the answer
A shark's depth in meters relative to sea level over time in minutes, x, is modeled as a parabola. At time 1 minute the shark is swimming upwards and is at a depth of 7 meters. The shark continues to swim toward the surface for another minute and then turns and begins to swim downwards and returns to a depth of 7 meters at time 3 minutes. What is the axis of symmetry of the graph of the parabola?
Answer:
The axis of symmetry of the graph of the parabola is -2
Step-by-step explanation:
Since the sharks depth in meters is relative to sea level over time in minutes we need to model this as x= 7-2x so 2 times 3 is 6 7-6=1
1 plus 1 equals 2
85, 58, 72, 85, 46, 93 Mean:? Median:? Mode:? Range:?
Answer:
Mean is 73.2. Median is 85. Mode is 85. Range is 47.
Step-by-step explanation:
First order the numbers. 46, 58, 72, 85, 85, 93. The mode is all of these numbers added up to get 439. divided by the amount of numbers there are. there are 6. so 439 divided by 6 is 73.166 or 73.2. Median is the middle of the data set which is 85. the mode is the number that appears the most in a data set which is also 85. the range is the highest number minus the lowest number so we get 93 - 46 to get 47.
Answer:
Step-by-step explanation:mode 85
mean 73.2
median 85
range 47
For every $1 increase in the price per scarf, Sofie's profit changes by an average of $
Answer:
True, because if price changes, dod oes average of money. So if you get 5 bucks per 10 scarfs, you'll get 5.50$ for 11 scarfs
Step-by-step explanation:
Lets just say she gets half of what the actual cost is. In total.
Answer:
This is true
Step-by-step explanation:
Nic is making chocolate chip cookies. The recipe requires 3/4 cups of brown sugar and 1 1/8 teaspoons of salt. Nic wants to make the recipe using 1 cup of brown sugar. To maintain the ratio, how much salt is required when 1 cup of brown sugar is used?
To maintain the ratio, the amount of salt required when 1 cup of brown sugar is used is 1.5teaspoon
Ratio and proportion
Fractions are written as a ratio of two integers.
From the gven question, we are told that a recipe requires 3/4 cups of brown sugar and 1 1/8 teaspoons of salt, this can be expressed as:
3/4 cups = 1 1/8 teaspoons
To maintain the ratio, the amount of salt that is required when 1 cup of brown sugar is used is given as:
amount of salt required = (1 1/8)/3/4
amount of salt required =9/8 * 4/3
amount of salt required = 3/2
amount of salt required = 1 1/2 teaspoon
Hence to maintain the ratio, the amount of salt required when 1 cup of brown sugar is used is 1.5teaspoon
Learn more on ratio and proportion here: https://brainly.com/question/2914376
What is the purpose of tax deffered retirement accounts
The two common retirement accounts that allow people to minimize their tax bills are tax-deferred and tax-exempt accounts. Just to be clear, both types of retirement account minimize the amount of lifetime tax expenses someone will incur, which provides incentives to start saving for retirement at an early age.
Hope this helps :)
Factor 35x + 7
F. 7(1 + 5x)
G. 7(1 + 35x)
J. 7(x + 5x)
Answer:
Did this at school today… the answer is F. 7(1+5x)
Step-by-step explanation:
rewrite 35 as 7x5
Rewrite 7 as 7x1
That will be 7(5x+7x1) factor out the 7 and the answer will be 7(5x+1)
What is the next term of the following sequence? 20, 10, 5, 2, ...
Answer:
40/2 = 20
20/2 = 10
10/2 = 5
5/2 = 2.5
2.5/2 = 1.25
30 points Helppppp!! Find the value of
x
xx in the triangle shown below.
x
=
x=x, equals
∘
∘
degrees
Answer:
please see photo above for details
Please help and explain.
Answer: Plant A
Step-by-step explanation: In the graph for plant A, the X axis is the months and the Y Axis is the inches. You can compare the data for Plant B in the graph for Plant A and see that Plant A has a larger number of inches for each number of months. For example, if you look at 6 months. The chart for Plant B says Plant B is 3 inches, while if you look at 6 months on the graph for Plant A, Plant A is at 10 inches.
graph the line y=3x-7
Lisa built a rectangular flower garden that is 444 meters wide and has a perimeter of 262626 meters.What is the length of Lisa's flower garden
Answer:
9
Step-by-step explanation:
4+4=8, 26-8=18, 18 / 2 = 9, and this is 100% right becuase I got it right on Khan Academy
answer please it would help
Answer: x=99.54
Step-by-step explanation:
Answer:
94.2
Step-by-step explanation:
We are given a reference angle of 34, we are also given opposite and hypotenuse side of the triangle, following SOHCAHTOA, We know that to solve this question, we have to use sine.
sin(34) = x/178
Get x alone
178sin34 = x
178sin34 is equal to 94.17, since we are looking for one decimal, we can round to the tenths place. The number next to the tenths is seven so we round up.
Our answer is 94.2
Write a paragraph describing your zipline. Include the 5 components below. * Zipline's Name *Setting *Description of point A and how the zipliner would get to that height. (climbing ladder , higher ground , etc) Zipline Safety Landing (How would the zipliner land safely? Stop block, brakes, etc) *Names of Three Locations for points A, B and C. The zipliner will move through these 3 locations marked by these 3 points. A:(5, 25), B / (65, 19) and C: (105, 14) .
Answer:
A
Step-by-step explanation:
because it A because I can done that fast
What is the capacity of a cylinder if it’s 2.60m high and has a diameter of 160.0cm
Answer:
Step-by-step explanation:
pi = 3.14
h = 2.60 m
d = 160.0 cm
Radius
r = d/2
r = 160.0 / 2
r = 80.0 cm
height
There are 100 cm in 1 meter. The units have to agree.
2.6 m * 100 cm / m
2.6 * 100 = 260 cm
Formula
V = pi * r^2 * h
V = 3.14 * 80^2 * 260
V = 5224960 cm^3
If you want a more manageable number, you could convert this into m^3
That's done by
V = 5224960 / 1000000 = 5.22 m^3
Melissa is driving a sports utility vehicle along the interstate at a constant speed of 55 mph. A sports car one-half mile behind her that is moving at a constant speed passes her in 60 seconds. How many miles per hour is the speed of the sports car
Using proportions, it is found that the speed of the sports car is of 85 miles per hour.
What is a proportion?A proportion is a fraction of a total amount.
The cars are moving in the same direction, hence their relative speed is the difference of them.
The sports car is 0.5 miles faster over one minute, hence over one hour the difference is:
60 x 0.5 = 30 miles per hour.
Considering that the utility vehicle has a speed of 55 mph, the speed of the sports car is given by:
55 + 30 = 85 miles per hour.
More can be learned about proportions at https://brainly.com/question/24372153
6 - v = 260
Solve for V.
Answer:
............
Step-by-step explanation:
Liz flips a coin 60 times. The coin lands heads up 36 times and tails up 24 times. Complete each statement.
Answer: 58.33%
Step-by-step explanation:
So, Liz flipped the coin a total of 60 times
Let this be the denominator.
Probability of coin landing up: 35/60
Probability of coin landing down: 24/60
We need the probability of the coin landing up.
So, convert 35/60 into a percentage
To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator by 1003560 × 100100= (35 × 10060) × 1100 = 58.33/100
So, the probability is 58.33%
Find Mitch's mistake.
Answer:
C
Step-by-step explanation:
Step 1
7.7 - 2 = w - 2 + 2Step 2
LHS ⇒ 7.7 - 2 = 5.7RHS ⇒ w - 2 + 2 = w [-2 and 2 cancel out = 0]⇒ 5.7 = 2Mitch did not make a mistakeSimplify the following (x+3y)(x-3y)
Answer:x^2-9y^2
Step-by-step explanation:
x timesx +x(-3y)+3yx+3y(-3y)
Then simplify
X^2-9y^2
Find the equation of a line that passes through the point (-3,-4) and has a gradient of 5.
Leave your answer in the form
y=mx+c
i will mark brainly
Answer:
Y=5X+11Step-by-step explanation:
x1= -3
y1= -4
m=5
y-y1=m(x-x1)
y-(-4)=5(x-(-3))
y+4=5(x+3)
y+4=5x+15
y=5x+15-4
y=5x+11
What is the surface area of this shape?
I tried getting the answer twice and both times I got 228, which the teacher said was wrong.
(each cube is one inch squared)
Step-by-step explanation:
the answer shoukd be 324
because in cube there are 6 sides
and one side contain 54 box
so... 54 × 6 = 324