Answers
Step-by-step explanation:
Start by multiplying both sides by cosα:
1 + sinα + (cos²α)/(1+sinα) = 2
sinα + (cos²α)/(1+sinα) = 1
Now multiply both sides by 1+sinα:
sinα + sin²α + cos²α = 1 + sinα
sin²α + cos²α = 1 Q.E.D.
Thats the answer and method i used
Related Questions
Which values for A and B will create infiniely many solutions for this system of equations
Answers
Answer :
4x-ay=15
Step-by-step explanation:
At what point(s) does the parabola,
y
=
x
2
−
2
, intersect the line,
y
=
−
x
Answers
Answer:
Please check the formatting when posting. I'm assuming these are the equations:
y=x^2 - 2
y=−x
Step-by-step explanation:
We can either graph the equations or solve them. I use graphing - see the attachment. The lines intersect at (-2, 2) and (1,-1)
1. Graphing
See attached graph
(-2, 2) and (1,-1) are the intersection points
2. Solving
y=x^2 - 2 Use y=−x in this equation:
-x = x^2 - 2
0 = x^2 + x - 2
0 = (x+2)(x-1)
x = -2 and +1
(-2, 2) and (1,-1) are the intersection points
#1: Find the value of X. (GEOMETRY)
I will give brainliest to BEST answer! fake answers will be reported.
refer to attachment!
Answers
Answer:
x = 14
Step-by-step explanation:
1. We know that all angle measures in a triangle sum to 180 degrees.
This means that 7x - 11 + 5x - 2 + 2x - 3 = 180.2. (Solving)
Step 1: Combine like terms.
[tex](7x+5x+2x)+(-11-2-3)=180[/tex] [tex]14x -16 = 180[/tex]Step 2: Add 16 to both sides.
[tex]14x - 16 + 16 = 180 + 16[/tex] [tex]14x = 196[/tex]Step 3: Divide both sides by 14.
[tex]\frac{14x}{14}=\frac{196}{14}[/tex] [tex]x = 14[/tex]Step 2: Check if solution is correct.
[tex]7(14)-11+5(14)-2+2(14)-3=180[/tex] [tex]98-11+70-2+28-3=180[/tex] [tex]180=180[/tex]Therefore, the answer is x = 14.
Which of the following values could represent the probabilities of complementary events? StartFraction 1 over 7 EndFraction and StartFraction 2 over 7 EndFraction 28% and 82% Two-fifths and Three-fifths 10% and 80%
Answers
Answer:
a
Step-by-step explanation:
Answer:
2/5 and 3/5
Step-by-step explanation:
empat angka setelah angka tiga
Answers
Answer:
hindi ko po gets
yan sorry
Please help asap! I will mark brainliest for correct answer!!
a softball player hits a pitched ball when it is 4 feet above the ground. the initial velocity is 75 feet per second. Use the formula: h=-16t^2+vt+s. How long will it take for the ball to hit the ground?
Answers
Answer: Do the math, the positive solution
t = 5.0495 seconds (If it's wrong sorry, I havent done a problem like this one in awhile!)
Step-by-step explanation:
A large tank was filled with water at a constant rate. The time and amount were recorded in the table.
Complete the table below to show how many gallons of water are in the tank after 335 and 405 minutes?
Time (minutes) 5 110 215 260 335 405
Amount (gallons) 1 22 43 52
Answers
Answer:
67 gallons at 335 minutes
81 gallons at 405 minutes
Step-by-step explanation:
I plotted the points and determined they form a straight line, with a slope of 3 and a y-intercept of 0.
In the form of y=mx+b,
this fill behavior can be represented as y = (1/5)x + 0, or y = (1/5)x
y is the volume in gallons and x is the time in minutes. The slope, (1/5), is the rate of filling the tank, in gallons/minute.
The solutions for 335 and 405 minutes may be found either by marking them on the graph (attached), of by simple calculation:
At 335 minutes, y = (1/5)(335), or 67 gallons
At 405 minutes, y = (1/5)(405) = 81 gallons
1. Nathan bought a bicycle for $230 at an auction. He fixed it up and sold it at a 30% markup. How much did
Nathan sell the bike for?
Answers
Nathan bought a bicycle for $230 at an auction. Nathan sells the bike for $299 at a 30% markup.
What is the percentage?A percentage is a minimum number or ratio that is measured by a fraction of 100.
Nathan bought a bicycle for $230 at an auction. He fixed it up and sold it at a 30% markup.
So, the markup price, we get
30% of $230
= 30/100 x 230
= 3 x 23
= 69
Total selling price = 230 + 69
= 299
Thus, Nathan sells the bike for $299.
Learn more about percentages;
https://brainly.com/question/23111313
write an equation in slope intercept form for the line that passes through the point, and is perpendicular to the line y=-1/3x+9;(-6,-2)
Answers
Answer:
Step-by-step explanation:
y=-1/3x+9
This is written in the format y=mx+b, where m is the slope and b the y-intercept (the value of y when x=0).
Perpendicular lines have a slope that is the negative inverse of the slope of the reference line, in this case -(1/3). The new slope is 3. equation is:
y = 3x + b
To find b, enter the given point, (-6,-2) and solve for b:
y = 3x + b
-2 = 3(-6) + b
-2 = -18 + b
b = 16
The full equation is y=3x + 18
what is the recriprocal of 8
Answers
Answer:
answer = 1/8
Step-by-step explanation:
answer = 1/8
The ratio of three number is 5:6:7. If the sum of the numbers is 54. What
are the numbers?
Answers
[tex]5x + 6x + 7x = 54 \\ = > 18x = 54 \\ = > x = 3[/tex]
So, the numbers are (5 × 3) i.e., 15, (6 × 3), i.e., 18, (7 × 3), that is 21.Answer:
The numbers are 15, 18 and 21.
Hope you could get an idea from here.
Doubt clarification - use comment section.
Question 1
Without solving, what can you tell about the solution to
this equation?
b + 14
(b + 14)
2
1 / 116
There is no solution.
There are infinitely
many solutions.
b is equal to 1 only.
b is equal to 0 only.
Answers
Answer:
there are infinitely many solutions
Step-by-step explanation:
1/2(b+14) is the same as (b+14)/2, so no matter what number you plug in for b, both sides will always be equal. thus, there is infinitely many solutions.
hope this helps <3
Answer: there is no solution.
Step-by-step explanation:
We can see mentally that when we multiply both sides by 2, we will be left with b+14 on both sides which will cancel out ( “b” will cancel out) so there is no solution.
Johnathan is driving from Houston to Seattle. After 3 hours, he has traveled 150 miles. After 7 hours, he has traveled 350 miles. This information is also represented in the table below.
Driving Time
Time (hr) Distance (miles)
3 150
7 350
10 500
What is Johnathan’s average rate of speed?
Answers
Answer:
50mph
Step-by-step explanation:
first divide 150 by 3 and you get 50
then divide 350 by 7 you get 50
and finally divide 500 by 10 and you get 50
if each quadrilateral below is a square,find the missing measures
Answers
Answer:
∆EFG = 90°
∆GDH = 45°
∆FEG = 45°
∆DHG = 90°
The measure of the given angles are -
m ∠EFG = 90°
m ∠EFG = 45°
m ∠FEG = 45°
m ∠DHG = 45°
What is square?A square is a quadrilateral with all sides congruent to one another.
Given is to find the measure of angles given in the question.
We can write the measure of angles as -
m ∠EFG = 90°
m ∠EFG = 45°
m ∠FEG = 45°
m ∠DHG = 45°
Therefore, the measure of the given angles are -
m ∠EFG = 90°
m ∠EFG = 45°
m ∠FEG = 45°
m ∠DHG = 45°
To solve more questions on angle measurements, visit the link-
brainly.com/question/29014197
#SPJ2
WILL GIVE BRAINLIEST
Answers
Answer:
A) 1: linear; 2: exponential (see equations in part B)
B) the value of 2 will be almost 15% greater
Step-by-step explanation:
Part A:As is often the case with multi-part questions, later parts of the question answer earlier parts. The equations shown in Part B are linear for Option 1 and exponential for Option 2.
The table values for Option 1 have a common difference of (1200 -1100) = 100.
The table values for Option 2 have a common ratio of (1210/1100) = 1.10.
Linear functions produce sequential values with a common difference (the slope of the function). Option 1 is linear.
Exponential functions produce sequential values with a common ratio (the growth factor). Option 2 is exponential.
__
Part B:The investment values after 7 years will be ...
Option 1: f(7) = 100(7) +1000 = 1700
Option 2: g(7) = 1000(1.1^7) ≈ 1948.72
The value of Option 2 will be about $248.72 higher, or 14.6% higher than the value of Option 1. Whether that is significant or not is in the eye of the beholder. Many people might consider that to be significantly better performance. (It would take another 2 1/2 years for Option 1 to have that value.)
Find the value of x?
Answers
Answer:
145°
Step-by-step explanation:
See the attachment. Angles A, B, and C all belong to the triangle.
We know that A + B + C = 180° since the angles of a triangle always add to 180°. We also know that when two lines meet that their sum is also equal to 180°. So we can write for each interior angle the following:
Result
<A = (180 - 88) 72
<B = (180-x) 180-x
<C = (180 - 127) 53
The sum of angles A, B, and C is equal to 180:
72 + (180-x) + 53 = 180
x = 1454/7 + 21/30 x ((21 x 4) + (23 x 8)) = n
need in simplest form
Answers
the product of 20 and z
Answers
Answer:
20z
Step-by-step explanation:
just times 20*z which give you 20z
Write
48
:
132
:
84
in its simplest form.
Answers
Answer:
4:11:7
Step-by-step explanation:
Find the GCF, or greatest common factor of the 3 numbers. In this case it is 12. To simplify, divide each number by 12
Answer:
4:11:7
Step-by-step explanation:
please mark me as brainlest
7L of an acid solution was mixed with 3L of a 15% acid solution to make a 29% acid solution. Find the percent concentration of the first solution.
Answers
Answer:
hypotenuse Pythagoras property
According to question
(7x+3*15)/10=29
7x+45=290
x=35%
If I make 2,500 dollars a minute.How much money will I make in 8 hours?
Answers
Answer:
1200000
Step-by-step explanation:
First, convert the 8 hours into minutes 8 hours * 60 minutes = 480 minutes
Then just do 2500 dollars * 480 minutes = 1200000
Answer:
$1,200,000
Step-by-step explanation:
We 1st multiply 2,500 by 60 due to 60 minutes being in 1 hour and get 150,000
We now know that in 1 hour you make 150,000 and to find out how much you make in 8 we then multiply 150,000 by 8 which equals $1,200,000.
I hope this helps have a great day and happy holidays :)
How many factors does 60 have? A)10 B) 8 C) 12 D) 4
Answers
Answer:
60 have 12 factors :1,2,3,4,5,6,10,12,15,20,30,60
Write an equation in the form
Y = mx +b to represent the line on each
graphy
40
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리
2
st
14 - 2
T
IT
1
-2
3
다
ha
내
*
H
H
Sz
Answers
Number 45 is y= -x+5
given a1 = -1 and a4 = -8 what is a10
Answers
Answer:
The nth term of the sequence is given. Find the first 4 terms, a10, and a15 2 What is the first term? a1 = (Type an integer or a simplified fraction.) What is the second term? a2 = (Type an integer or a simplified fraction.) What is the third term? a,-| (Type an integer or a simplified fraction.) What is the fourth term? a4(Type an integer or a simplified fraction.) What is the tenth term❤
The graph below shows the
relationship between the distance a
car is driven and the number of
gallons of gas used. What is the slope
and what does it represent?
Answers
Answer:
The slope is 30 and it represents the distance the car can travel per gallon of gas used
Step-by-step explanation:
We just need to look at the x=1 and find the y in order to find the slope and here we see that when x=1, then the y=30 so, therefore, the slope is 30
It represents the number of miles the car can drive per gallons of gas used as we can see that we are comparing the gas used with the distance traveled, so therefore it is comparing the distance the car can travel based on the gas used.
Slope = 60 mi/2 gal
Slope = 30 mi/gal
The slope represents the distance a car travels and the gas used.
S is a geometric sequence.
a) (1x + 1), 1 and (rootx - 1) are the first three terms of S.
Find the value of x.
You must show all your working.
b) The 5 term of S can be written in the form a V2 + b
where a and b are integers
Find the value of a and the value of b
Answers
Answer: your answer would be 2
Step-by-step explanation:
Find EG
Please help
Answers
Answer:
EG = 12.2
Step-by-step explanation:
Since HG = HE = 14 then the triangle is isosceles.
HF is a perpendicular bisector of EG , then
EF = FG = 6.1 , so
EG = EF + FG = 6.1 + 6.1 = 12.2
PLZZ HELP
Order these numbers from least to greatest.
Answers
if <4=<6 then ____=____
Answers
Answer: #2 CD=CA
Step-by-step explanation:
So sorry if wrong but i think it may be right.
GOOD LUCK!!
The base of a triangular field is three times its height. If the cost of cultivating the feild at $36 per hectare is $486, find its base and height.
Please explain also
Answers
Answer:
Formula of the area of triangle = 1/2 × b × h (where 'b' is the base and 'h' is the height)
1 hectare = $36
$486 = 13.5 hectares
13.5 hectares = 1/2 × b × h
To get b × h, you use the reverse of the formula. Hence:
13.5 = 1/2 × b × h
13.5 ÷ 1/2 = b × h
= 27
27 is b × h.
The question states that the base is three times the height. Hence:
b = 3u
h = 1u
b × h = 27
= 3u × 1u
Thus, we need to find one value which is three times the other, in order to get a product of 27.
Factors of 27:
1 × 27
3 × 9
9 is three times of 3. Thus, the base is 9, while the height is 3.