sin^2(x)/1 + cos(x) = 1 - cos(x)
We know that sin^2 x = 1 - cos^2 x. It is one of our trig identities.
We now have this:
(1 - cos^2 x)/(1 + cos x) = 1 - cos x
Take note:
1 - cos^2 x is a perfect square difference in terms of cosine.
So, (1 - cos^2 x) = (1 + cos x)(1 - cos x).
We now have this:
[(1 + cos x)(1 - cos x)]/(1 + cos x) = 1 - cos x
Do you see what happens on theft side?
On the left side, (1 + cos x) cancels out on the top and bottom.
We are now left with this:
1 - cos x = 1 - cos x
Done!!
8.
Find the selling price of a $450 painting with a 45%
markup.
PLS HELPP!! thank you
Answer:
$20.71/[tex]ft^{2}[/tex]
Step-by-step explanation:
290 ÷ 14 = 20.71 (rounded)
Erik transformed the equation y = 2(x − 2)2 + 5 from vertex form to standard form. His steps are shown below. Is Erik's work correct? If not, identify and correct his error.
y = 2(x − 2)2 + 5
y = 2(x2 − 4x + 4) + 5
y = 2x2 − 8x + 8 + 5
y = 2x2 − 8x + 13
answer choices
No. The error is in the second line: the expanded form of (x − 2)2 is x2 − 4.
No. The error is in the third line: the product of 2 and x2 − 4x + 4 is 2x2 − 4x + 4.
No. The error is in the fourth line: the sum of 8 and 5 is 12.
Yes. Erik is correct in his transformation from vertex form to standard form.
Plz help me it’s my last question giving brainliest
Answer:
1) A
This is your last one?
Hope this Helps!Hope this Helps!:)
Which expressions are equivalent to 4/7x + 4?
A. 1 + 3/7x +3
B. 5/7x - 1/7x + 4
C. 3/7x + 4 1/7x
D. 1 + 4/7x + 3
E. 1 + x/7 + 3
F. 3/7x + 4 4/7x - 1
Answer:
4+28x
_____
7x
i think...
What can be concluded about the sphere? Check all that apply. The sphere has a radius of 10 cm. The diameter measure is substituted into the formula to find the volume. The radius is half the diameter. The formula to apply is V = four-thirds B h The volume of the sphere is two-thirds the volume of a cylinder with the same radius and height.
Answer: Its C and E on engenuity
Step-by-step explanation:
The radius is half the diameter.
The volume of the sphere is two-thirds the volume of a cylinder with the same radius and height.
Answer: C, E
Step-by-step explanation: Got it right on edge
2x + 2 = -14
What’s the value of x
Answer:
x=-8
Step-by-step explanation:
2x+2=-14
2x=-16
x=-8
Answer: x = -8
Step-by-step explanation:
Find the exact value of each trigonometric function using the unit circle
Answer:
Step-by-step explanation:
use the co-terminal idea Scarlett, 990° = 270 °. You can see this just by looking at the picture.
Tan(270 ) = sin(270) / cos(270) = -sin(90) / cos(90) so now we know that Tan(270) is one of the non-existant angles b/c cos(90) = 0 and that would mean that we have some number over 0... and then the universe blows up.. like my calc II professor liked to say :| I think he was being a bit dramatic. :P anyway, you want answers not long boring stories.. :D so Tan(270) DNE ( does not exist )
If we were to look at a graph of Tan , we'd see that at 270° or 3[tex]\pi[/tex]/2 , Tan runs off to infinity. So there isn't a number to represent it. :/ I'm attaching a picture of the graph
notice in the graph, that when tan gets to 3/2, it's running off to infinity ??
How would I solve 8n-5=139?
Answer:
18
Step-by-step explanation:
8n=144
divide the both side of the equation by 8
and you will get
n=18
Answer:
8n-5=139
Add 5 to each side.
8n=144
Divide each side by 8.
n=18
Miss Gonzales opened an account with a deposit of $2,000,
The account earned annual simple interest.
She did not make any additional deposits or withdrawals.
At the end of 6 years, the balance of the account was $2,696.
What is the annual interest rate on this account?
Answer:
i think its 18%
Help please please help help please help!!!!
Answer:
14Explanation:
8.13×10¹⁴
The length of Side C D is 11 inches and the length of Side C F is 11 StartRoot 3 EndRoot inches. What is the length of Side D F? Round to the nearest tenth.
11 inches
15.6 inches
19.1 inches
22 inches
Answer:
b
Step-by-step explanation:
Expresa en unidades las siguientes cantidades: cinco decenas cuarenta decenas de mil siete centenas de mil veintitrés unidades de mil ayúdenme plis :3
Jackie weeded the neighbors' gardens all summer. The 6 neighbors paid:
$4.00 $6.00 $6.00 $5.00$ 8.00 7.00
What was the mean amount paid?
Answer:
7.2
Step-by-step explanation:
(4+6+6+5+8+7)/6=
=7.2$
What is the equation of the line that passes through the point (2,-4) and has a
slope of 2?
Answer:
y = 2x - 8
Step-by-step explanation:
Point(2 , -4) ; slope = 2
Point- slope form:
y - y1 = m(x - x1)
y - [-4] = 2(x - 2)
y + 4 = 2x - 2*2
y + 4 = 2x - 4
y= 2x - 4 - 4
y = 2x - 8
You invest $500 in an account that pays 6% interest compounded continuously. How
much will be in the account after 6 years?
=====================================================
Explanation:
We'll apply this formula
A = P*e^(r*t)
where,
A = account balance after t yearsP = initial deposit, aka principale = special constant roughly equal to 2.718 but it goes on forever without a pattern; it's better to let the calculator handle this value rather than type the decimal digits in.r = annual interest rate in decimal formt = number of yearsIn this case, we have
P = 500r = 0.06t = 6Again we won't type "2.718..." for 'e', and we'll just type it into the calculator as shown below. That way the calculator can handle the digits instead.
So...
A = P*e^(r*t)
A = 500*e^(0.06*6)
A = 716.66470728026
A = 716.66 dollars is the final answer
8. Does the equation show a proportional relationship?
y = x + 9
O Yes
O No
6 x 10 5 is how many times the value of 3 x 10 (Hint: Write your answer in standard form.)
Answer:
0.000036
Explanation:
When multiplying a number by 10 to the power of a positive exponent (e.g.
10
3
), move the decimal in the number that many spaces to the right (e.g.
4.5
⋅
10
3
=
4500
).
When multiplying a number by 10 to the power of a negative exponent (e.g.
10
−
4
), move the decimal in the number (the absolute value of) that many spaces to the left (e.g.
4.5
⋅
10
−
4
=
0.00045
).
For
3.6
⋅
10
−
5
, move the decimal five spaces to the left:
0.000036
Step-by-step explanation:
Which number is located between 19 and 20 on a number line?
A. √298
B. √340
C.√ 391
D. √ 402
Answer:
C. 391
Step-by-step explanation:
The number located between 19 and 20 is, C.√ 391
What are surds and indices?We know there are two types of radicals one is surds when the number has been raised by such power that it is greater than zero and less than one,
The other type of radicals are indices where a number is raised to such power that is greater than one.
We know, √400 is 20.
Given, We have to find an irrational number between 19 and 20.
Now, From the given options the closest number to √400 is √402 but it is not between 19 and 20.
Therefore, The number whose square root is between 19 and 20 is,
√ 391.
learn more about surds and indices here :
https://brainly.com/question/1369233
#SPJ3
. 3m = 16.8. what does m equal to?
Answer:
m = 56
Step-by-step explanation:
.3m = 16.8
3m = 168
m = 168/3
m = 56
PLEASE HELP!!! I WILL GIVE 30 POINTS!
Write a verbal statement that represents the expression h ÷ 8.
My teacher told me to write out the words for the symbols and numbers.
Please help.
Answer:
If I have "h" amount of cookies and I have 8 friends with me, How much would each friend get?
Step-by-step explanation:
The run is the__
change between two points on a line.
A. rising
B. horizontal
C. average
D. vertical
Answer:
Horizontal
Step-by-step explanation:
The mathematical definition of slope is very similar to our everyday one. In math, slope is the ratio of the vertical and horizontal changes between two points on a surface or a line. The vertical change between two points is called the rise, and the horizontal change is called the run.
Pat is three times as old as she was 14 years ago. In seven years, she will be four times as old as she was 14 years ago. How old is she now?
Jay tossed two coins several times and then
recorded the results in the table below.
Coin Toss Results
Toss 1
H;H
Toss 2
H;T
Toss 3
T;T
Toss 4
T;T
Toss 5
T;H
What is the experimental probability that
the coins will land on different sides on his
next toss?
A.1/5
B.2/5
C.3/5
D.4:5
Answer: I'm pretty sure that the answer is a
Hope this helps :)
Step-by-step explanation:
Please explain and answer quickly, links will be reported
Answer:
Adults = 325
Students = 612
Step-by-step explanation:
2(325) + 0.75(612) = $1,109
612 + 325 = 937
Can someone please help me with this math problem:):)
Answer:
i dont understand
Step-by-step explanation:
6,10,14 ... Find the 30th term.
Answer:
a₃₀ = 120Step-by-step explanation:
[tex]a_n=a_1+d(n-1)\\\\\\10-6=4 \ \ and\ \ 14-10=4\quad\implies\qquad d=4\\\\a_1=6\\\\\\a_{30}=6+4(30-1)=122[/tex]
I have 0.0254 it and they say approximately to 2 decimal place will I include the 0 after the decimal point
Yes. You have to include 0.
If we round off this value to 2 decimal places then it is
0.03
Reason: after decimal point or before decimal point if you have to drop some digits and if the digit to be droped are 5 followed by non zero digit then previous digit is increased by 1.
Here, the digits to be droped are 5 and 4 after 0.02 so we increase 2 by 1 that is 3.
The density of water is 1000 kilograms per cubic meter, and the density of ice is about 916 kilograms per cubic meter. If 575 kilograms of water and 275 kilograms of ice is combined in a container, about how much volume would the mixture take up?
A)5.0 m^3
B)2.3 m^3
C)0.9 m^3
D)0.4 m^3
Answer:
Step-by-step explanation:
Its c
Use a proportion to estimate each population. (Please solve both questions, thank you) (I’ll reward you with brainliest :)
20.
total counted: 102
tagged counted: 38
total tagged: 56
21.
total counted: 958
tagged counted: 210
total tagged: 305
Answer:
Step-by-step explanation:
Step 1. (The capture) Capture a sample total counted =958, and them back tagged counted=38,total tagged=56
The idea is to estimate the proportion p = m/N of tagged =102.
Step 2. (The recapture) After everything has settled down, capture a new sample of n fish. Count the number of tagged fish. Suppose that k of them are tagged.
It is reasonable that, k/n would be a good estimante for p = m/N.
Accordingly, for an estimate N of N, se solve the equation m/N= k/n.