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!!
If Sally purchases a car for $22,000 with a 5 year loan having a 2.5% interest rate, how much simple
interest will she have to pay on the loan?
A.$2,750.00
B.$19,250.00
C.$24,750.00
D.$275,000.00
Please help BY tomorrow
A truck leaves a garage and travels east at a rate of 55 miles per hour. A car leaves the same garage 15 minutes later and travels east at a rate of 66 miles per hour. After how many minutes from the time the car leaves does the car overtake the truck?
Answer:
think yourself........
Step-by-step explanation:
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Select an equation that is equivalent to a^2-144b^2 a) (a-12b)^2 B) (a+12b)^2 C) (a-12b)(a+12b) C) a^2-24ab+144b^2
Answer:
C) (a-12b)(a+12b)
Step-by-step explanation:
a^2-144b^2 = (a-12b)(a+12b)
This is the formula that when two terms squared are written with a minus sign between them their factors are the product of the original numbers once with a plus sign and once with the minus sign.
This can be explained by multiplying them.
(a-12b)
*(a+12b)
a²- 12ab
+12ab - 144b²
a² +0 - 144b²
We see we get the same answer as applying the formula above.
A triangle has three angles that measure 20 degrees. 60 degrees and
(3x - 25). What is the value of x? Please help due in 10 minutes
all triangles have 180 total degrees, we know this
80 degrees are accounted for, so there's 100 left
3x - 25 = 100
3x = 125
x = 41.67
Find the shaded angle
Answer:
332°
Step-by-step explanation:
Given is an isosceles triangle,
Measures of base angles of an isosceles triangle are equal.
Therefore,
Measure of central angle
= 180° - ( 76° + 76°)
= 180° - 152°
= 28°
Measure of shaded angle
= 360° - 28°
= 332°
   pls help ( only the 4th ignore the other questions, you’ll need the line plot for 4 )
And pls don’t give me any zip files, just give me the answer
Answer:
When the imposter is sus da da da da da da dada ding
Step-by-step explanation:
One airplane is approaching an airport from the north at 164 km/hr. A second airplane approaches from the east at 271 km/hr. Find the rate at which the distance between the planes changes when the southbound plane is 28 km away from the airport and the westbound plane is 17 km from the airport.
Answer:
The rate of change of the distance between the airplanes is approximately 316.760 kilometers.
Step-by-step explanation:
The distance between both airplanes (r), in kilometers, can be determined by the Pythagorean Theorem, that is:
[tex]r^{2} = x^{2}+y^{2}[/tex] (1)
Where:
[tex]x[/tex] - Distance of the westbound airplane from airport, in kilometers.
[tex]y[/tex] - Distance of the southbound airplane from airport, in kilometers.
By Differential Calculus, we derive an expression for the rate of change of the distance between the airplanes ([tex]\dot r[/tex]), in kilometers per hour:
[tex]2\cdot r\cdot \dot r = 2\cdot x \cdot \dot x + 2\cdot y \cdot \dot y[/tex]
[tex]\dot r = \frac{x\cdot \dot x + y\cdot \dot y}{\sqrt{x^{2}+y^{2}}}[/tex] (2)
Where:
[tex]\dot x[/tex] - Rate of change of the distance of the westbound airplane, in kilometers per hour.
[tex]\dot y[/tex] - Rate of change of the distance of the southbound airplane, in kilometers per hour.
If we know that [tex]x = 17\,km[/tex], [tex]y = 28\,km[/tex], [tex]\dot x = -164\,\frac{km}{h}[/tex] and [tex]\dot y = -271\,\frac{km}{h}[/tex], then the rate of change of the distance between the airplanes is:
[tex]\dot r = \frac{x\cdot \dot x + y\cdot \dot y}{\sqrt{x^{2}+y^{2}}}[/tex]
[tex]\dot r \approx -316.760\,km[/tex]
The rate of change of the distance between the airplanes is approximately 316.760 kilometers.
Chad boughtsome things at the store he paid for them was $6 he received $4.52 in change how much did the things that he bought cost
Answer:$1.08 cents.
Step-by-step explanation:
$6 - $4.52 = $1.08.
Using the net below, find the surface area
of the pyramid.
3\in.
2 in.
2 in.
Surface Area =
[?] in.2
Enter
Answer:
16
Step-by-step explanation:
Base: 2x2=4
The 4 Triangles: 2x3x1/2 (for each triangle), each triangle equals 3
3x4=12
12+4=16
16 is the final answer
What is 20.0384 rounded to the nearest hundredth?
Answer:
20.04
Step-by-step explanation:
Answer:
20.04
Step-by-step explanation:
The three is in the hundredths place:
find your place (3)
look next door (8)
5 or greater add one more so 4
please I need help i will give 30 points
Answer:
250π OR 785.398
Step-by-step explanation:
Just plug in the values given to you in the image into the formula for volume.
Your answer can either be 250π or it can be 785.398
Both are correct
Ruby uses 3/8 of a cup of blueberries for her smoothie. If she has 4
cups of blueberries, how many smoothies can she make?
plz help quick
Answer:
10 smoothies
Step-by-step explanation:
because each 3/8th yields 2 smoothies and the leftovers from each cup made 2 more.
Find the proportion.
A local school took a random sample of 500 students, in which 323 carried backpacks. Find the
proportion of students who carry backpacks with a 95% confidence interval. Round your answers to
the nearest hundredth.
Answer:
Step-by-step explanation:
11.3
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Given:
In triangle [tex]EFG, m\angle E = 5x, m\angle F=6x[/tex] and extirior angle G is 110 degrees.
To find:
The measure of angle FEG.
Solution:
Exterior angle theorem, the sum of two interior angles of a triangle is equal to the opposite extirior angle.
Using extrior angle theorem in triangle EFG, we get
[tex]m\angle E+m\angle F=\text{Measure of extirior angle }G[/tex]
[tex]5x+6x=110^\circ[/tex]
[tex]11x=110^\circ[/tex]
[tex]x=\dfrac{110^\circ}{11}[/tex]
[tex]x=10^\circ[/tex]
Now,
[tex]m\angle FEG=5x[/tex]
[tex]m\angle EFG=5(10^\circ)[/tex]
[tex]m\angle EFG=50^\circ[/tex]
Therefore, the measure of angle FEG is 50 degrees. So, option C is correct.
Which measurement is the best estimate of the area of the field in square feet? A:12717 B:8100 C:27176 D:19074
Answer: You forgot to include a photo
Step-by-step explanation:
If m2 BOE = 130° and m2 COB = 80°, find the measure of the indicated arc in circle o. D С E B mCBE = [ ? 1°
HELP ME NO ANSWER RANDOM STUFF FOR POINT WILL GET REPORTED
Answer: 210
Step-by-step explanation:
Find the distance between A(0, 1) and B(-4, 6) to the nearest tenth.
Answer
you have to use distance formula witch is square root of y1,y2 and x1,x2 squared. after you use the formula you should get 6.4 as your answer
d=6.4
Step-by-step explanation:
Why is the median better to represent the data of a stem and leaf plot? I NEED THE ANSWER NOW PLSSSS
Answer:
The median value is better because it is not affected by the skewness of the data
Step-by-step explanation:
The median is better in representing the data of a stem and leaf plot because the median value is not affected so much by outliers and skewness of the data. for example: for a downward skewed stem and leaf plot the value of the median is greater than the mean value
Hence the median value is a better representation of the central tendency
What is 3 1/4 x( -12.2)
Also pls answer it asap
Answer:
-39.65
Step-by-step explanation:
3 1/4 ⋅ (-12.2)
First, we must change the first fraction to a decimal.
3 1/4 = 3.25.
Now, we just multiply using standard algorithm.
3.25 ⋅ (-12.2) = -39.65.
Anytime you multiply a positive number by a negative number, the answer will ALWAYS be negative.
What is the solution to the equation?
f(x)=3x-7 and g(x)=-2x-6. Find (fog)(4).
*Picture of Problem Below*
Answer:
-49
Step-by-step explanation:
fog=f(g(x))=3(-2x-6)-7=-6x-18-7=-6x-25=-6(4)-25=-49
What is 0.14 4 recurring as a fraction
Answer:
0.1414... in a fraction is 14/99
Step-by-step explanation:
Given the number 0.1414...
we have to represent the above in terms of fraction
Let x=0.1414.... → (1)
Multiplying by 100 on both sides
100x=14.1414.... → (2)
Subtract (1) from (2), we get
99x=14
x=14/99
hence, 0.1414... in a fraction is 14/99
Mary is applying for a credit card. Which of the following will not determine if she has a high credit limit or not.
A. Credit score
B. Payment history
C. Salary
D. Age
PLS HELP URGENT AND EASY (FIND AREA)
Answer:
72.26 cm²
total area = 145.49 cm²
small tri = 12.99cm²
large tri = 23.38 cm²
so shaded area = 145.49 -(2x12.99)-(2x23.88)=72.26cm²
what can i add to 1,663,134 to make 2,148,431
Answer:
485297
Step-by-step explanation:
A store purchased model railroad sets for 400 and sold them for 444 what percentage is the mark-up
Answer:
9.91%
Step-by-step explanation:
cost price= 400
selling price=444
profit made= 444-400
= 44
profit percentage= 44/444 ×100
=9.91%
What is the domain of the graph below?
Answer:
-1 < x < 5
Step-by-step explanation:
Domain is left to right, so look at the x-axis.
The farthest it can go left is -1
The farthest it can go right is 5
WILL GIVE BRAINLIEST.
Given the sequence in the table below, determine the sigma notation of the sum for term 4 through term 15.
n an
1 4
2 −12
3 36
the summation of 4 times negative 3 n, from n equals 4 to 15
the summation of 4 times negative 3 n, from n equals 1 to 15
the summation of 4 times negative 3 to the n minus 1 power, from n equals 1 to 15
the summation of 4 times negative 3 to the n minus 1 power, from n equals 4 to 15
Answer:
option D
Step-by-step explanation:
Took the test
Answer: the summation of 4 times negative 3 to the n minus 1 power, from n equals 1 to 15 (option D)
Step-by-step explanation: I took the test and got it right :)
Help please I need help
Answer:
EI SONA
Step-by-step explanation:
Which list shows these numbers in order from least to greatest?
37
6
-5.17, 33,
26
5
Answer:
The answer to this question should be H
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
The answer would be letter C