Answer:
1
Step-by-step explanation:
A segment has only one midpoint because there is only one point in the exact middle of a segment.
Answer:
A line segmhas only one midpoint
Question: Using only reciprocal, Pythagorean, sum/difference, and/or half angle identities, prove the equation below. You must use angles A and B, do not replace with actual vales. Only work with the right side of the equation. You should use TEN steps to accomplish this proof! cosA+cosB= 2cos(A+B/2)cos(A-B/2)
Answer:
See explanation below
Step-by-step explanation:
Recall the identity for the cosine of an addition of angles:
[tex]cos(\theta+\gamma)= cos(\theta)*cos(\gamma)- sin(\theta)*sin(\gamma)[/tex]
and that for a subtraction of angles:
[tex]cos(\theta-\gamma)= cos(\theta)*cos(\gamma)+sin(\theta)*sin(\gamma)[/tex]
Now, use the property of addition of angles above to write :
[tex]cos(\frac{A+B}{2} +\frac{A-B}{2} )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )-sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )[/tex]
but since : [tex]\frac{A+B}{2} +\frac{A-B}{2}= A[/tex]
Then the cosine of addition of angles above can be written as:
[tex]cos(\frac{A+B}{2} +\frac{A-B}{2} )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )-sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )\\cos(A)=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )-sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )[/tex]
We do something similar now with the cosine of the subtraction of angles:
[tex]cos(\frac{A+B}{2} -\frac{A-B}{2} )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )+sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )[/tex]
and we notice that: [tex]\frac{A+B}{2} -\frac{A-B}{2}= B[/tex]
Then the cosine of subtraction of angles above can be written as:
[tex]cos(\frac{A+B}{2} -\frac{A-B}{2} )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )+sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )\\cos(B )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )+sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )[/tex]
and finally, we add term by term the expressions we got for cos (A) and for cos(B) and notice that the terms that contain the sine functions cancel each other because they have opposite signs, while the terms in cosine add up to double themselves:
[tex]cos(A )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )+sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )\\+\\cos(B )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )-sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )\\=\\cos(A) +cos(B)=2\,cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )[/tex]
which is what we wanted to prove.
Which equation represents a proportional relationship that has a constant of proportionality equal to One-fifth?
Answer:
y=1/5x or y=.2x
Step-by-step explanation:
the constant=k the equation is always y=kx and if the constant of proportionality is 1/5 you would do y=1/5x or y=.2x
Answer:
C. y = one-fifth x
Step-by-step explanation:
I took the quiz
PLZ HELP!!!!! WILL MARK BRAINLEST IF CORRECT!
Answer:
Its a+10
Step-by-step explanation:
Answer:
10 + a or a + 10, depending on multiple choice, or writing
Step-by-step explanation:
2 + 8 = 10
10 + a
detailed:
find like terms 8 and 2 = 10
plot the a 10 + a
will give brainliest!!!! The value of the 5 in the number 594,631 is how many times larger than the value of the 5 in the number 859,463? *
Answer:
It's 10 times larger.
Step-by-step explanation:
If you just have 500,000, and the other one is 50,000, That means 50,000 x 10 is 500,000.
Solve for x: 5x + 15 = 28 forty-three over five thirteen over five 13 43
Answer:
B
Step-by-step explanation:
i took the test and got it right
what is the factored form of x^-9
Answer:
1/x^9
Step-by-step explanation:
I don't actually understand this question, but if you are asking (x^(-9)), then its the answer above
Samantha invested $50,000 in an account paying an interest rate of 4.1% compounded daily. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 8 years?
Answer:
$69,408.17 = $69,410 rounded
Step-by-step explanation:
Final investment value
$69,408.17
Total interest earned
$19,408.17
Initial balance
$50,000.00
Total monthly deposits
$0.00
Effective Annual Rate (APY)
4.185%
The formula used in the compound interest calculator is A = P(1+r/n)^(nt)
A = the future value of the investment
P = the principal investment amount
r = the interest rate (decimal)
n = the number of times that interest is compounded per period
t = the number of periods the money is invested for
Captain America's circular shield has a diameter of 76.2 centimetres. What is the area of his shield?
Answer:
Its area is 370 square centimeters.
Step-by-step explanation:
To find the quotient of 4 divided by 1/5 multuply 4 by
Answer:
There is not enough information for me to solve what you want solved.
Step-by-step explanation:
Sorry
FIRST RIGHT ANSWER GETS BRAINLIEST!!!!
A chimpanzee has a lifespan of approximately 50 years. The average lifespan of a Galapagos tortoise is at least 4 times that of a chimpanzee. Write an inequality to represent the lifespan of a Galapagos tortoise.
Answer:
w h a t
Step-by-step explanation:
Answer:
Step-by-step explanation:
chimpanzees, including the eating of colobus monkeys, by calling them (p3) ... times before the last 40,000-odd years, a time period which may ... metabolic limitation for humans of no more than 50% of calories to ... the evolutionary life span of our species, Homo sapiens, which is ... dead animals, from turtles to elephants.
Mr. Wong was born in 1934. In what year was Mr. Wong 48 years old?
Answer:
1886 i think thats right if you do the math
Step-by-step explanation:
Replace the a , b , c , and d with the dighits 2,4,6,8 to form the greatest product. Each digit can only be used once. Explain your substitutions.
a0b
x c d
--------------------------
Answer:
2x4x6x8
Step-by-step explanation:
each one can only be used once so its only possible for 2x4x6x8
The three perpendicular bisectors of the sides of AABC intersect at point G. Point G is the
A)
centroid.
B)
circumcenter.
C)
incenter:
D)
orthocenter.
Answer: Circumcenter
Step-by-step explanation:
Please view the photo below for proof that it is accurate.
Evaluate with the given values
pls help. .............
Answer:
(4,2.5)
Step-by-step explanation:
What is 2÷1/7 equal to
A 14
B 7
C 7/2
D 15/7
E 2/7
Answer:
14! So a
Step-by-step explanation:
Answer:
aaaaaaaaa
Step-by-step explanation:
aaaaaaaaaaaaaaaa
which number are composite numbers-49,35,32,41,47
Answer:
49, 35, 32
Step-by-step explanation:
A prime number is a number whose factors are 1 and itself
Eg 7
7 is a prime number because it only comes in table one and 7
Or it’s only factors are 1 and itself
A composite number comes in 1, itself and other tables
Eg. 16
It comes in table 1, 2, 4 and 16
Answer: 49,32,35.
Hope this helps!
Please help fast!! Is this a function?
Answer:
It's not a function..
Step-by-step explanation:
Just take a look at it.
what did u studied about functions before doing this type of problem in math?
Does it look like it? no.
Answer:
That looks very hard .. sorry :(
Step-by-step explanation:
Solve five ninths plus four sixths. Answer this and ill give brainliest
Answer:
Step-by-step explanation:
(Decimal: 1.222222)
for the below question assume no duplicated units are allowed all the answers for a 5 question multiple choice test are a b c d find the number of possible answer keys a teacher could have
Answer:
4
Step-by-step explanation:
1 2 3 4 so 4 because 4 is the last number before 5
What is the slope of a line passing
through points (-6, 3) and (-3, -1)?
Answer:
-4/3
Step-by-step explanation:
you do change in y over change in x which is -1-3 over -3-(-6)
when you do the calculations you get -4/3
A customer buys a table on hire purchase.he makes a deposit of $306 and pays six monthly installments of $60 each. The TOTAL cost to the customer is
Answer: $666
Step-by-step explanation:
Deposit $306
Monthly payment $60 * 6 = 360
$306 + $360 = $666
Ina crespo rowed 7.5 miles down the Hanbashabee river in 1.5 hours ,but the return trip took her 2.5 hours.find the rate ina rows in still water and the rate of the current.
Answer:
rate of current=1 mph
Step-by-step explanation:
sergio must ride 7.5 miles in 1/4 hour to achieve this target speed, so he needs to ride an additional ____ mile per 1/4 hour
Answer: 7.0
Step-by-step explanation:
sergio must ride 7.5 miles in 1/4 hour to achieve this target speed so he needs to ride an addititonal 9.8 mile per1/4 hour
Answer:
30 mph
Step-by-step explanation:
since it is 1/4 you would multply 7.5 times 4, which adds up to 30.
Write in slope intercept form an equation of the line that passes through the given points. (0,4) (4,8) and (-2,3) (-4,4)
Answer:
y = 1.25x+4
Step-by-step explanation:
m = (y2-y1)/(x2-x1)
Substitute Values for one set of coordinates. I used (0,4) and (4,8)
Once you have derived what m is equal too, put it into your slope intercept form: y=mx+b
y=1.25x+b
b would be equal to 4 in this case (sorry i don't have enough time to explain why, but it is 4)
The final answer is y = 1.25x+4
nothing nothing nothing nothing
Answer:
nothing nothing nothing nothing
Step-by-step explanation:
nothing nothing nothing nothing nothing nothing nothing nothing
stream positons by ariana grande <3
please help need assistance
Answer:
18
Step-by-step explanation:
Keep in mind that anything with a subscript of 0 always comes out as a 1
16(1)+2(2)²(4⁻¹)
= 16+8(4⁻¹)
=16 + 8(1/4)
=16+2
=18
Hope this helps! :)
carpenter charges $45 for every 50 feet of fence he builds plus a travel charge of $37.50.
Answer:
350 feet
Step-by-step explanation:
352.50 - 37.50= 315
315 ÷ 45 = 7
7 × 50 = 350
there is only three options someone help
Answer:
Answer is Option 2
Step-by-step explanation:
Triangles equal to 180 degrees in total. So it is 55+54+x+74=180
The simplified version that I just wrote is Option 2
The radius of the circle is 13 what’s the diameter
Answer:
d = 26
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASGeometry
Diameter: d = 2rStep-by-step explanation:
Step 1: Define
Radius r = 13
Step 2: Find diameter
Substitute: d = 2(13)Multiply: d = 26