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:
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.
What is 70% of 150?........
Answer:
105%
Step-by-step explanation:
I hope this helped.
Answer:
105
Step-by-step explanation:
iI just pulled up a percentage calculator...
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
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
based on the regression output which of the following is the predicted time in minutes that it took to gather the items if the order had 22 items
Answer:
63.89
Step-by-step explanation:
my teacher went over this in class
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
I need help desperately
Answer:
B is the answer
Step-by-step explanation:
Look at where the decimal is placed and the value of the numbers
Rewrite the expression in the form a^n
Answer:
a7/5
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:
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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
I need help hhhhhhhhhheeeeeeellllllppppp
Answer:
with what
Step-by-step explanation:
1. If OQ and RT are parallel lines which statement is true?
A) OPS is congruent to RSU
B) OPS is congruent to RSP (my answer)
C) OPS is congruent to OPN
D) OPS is congruent to TSU
-----------------------------------------
2. If OQ and RT are parallel lines which statement is true?
A) RSP is congruent to RSU
B) RSP is congruent to PST
C) RSP is congruent to TSU
D) RSP is congruent to OPS (my answer)
Answer:
Step-by-step explanation:
Question (1).
OQ and RT are the parallel lines and UN is a transversal intersecting these lines at two different points P and S.
A). ∠OPS ≅ ∠RSU [corresponding angles]
B). m∠OPS + m∠RSP = 180° [Consecutive interior angles]
C). m∠OPS + m∠OPN = 180° [Linear pair of angles]
D). Since, ∠OPS ≅ ∠TSP [Alternate interior angles]
And m∠TSP + m∠TSU = 180° [Linear pair of angles]
Therefore, Option (A) is the correct option.
Question (2).
A). m∠RSP + m∠RSU = 180° [Linear pair of angles]
B). m∠RSP + m∠PST = 180° [Linear pair of angles]
C). ∠RSP ≅ ∠TSU [Vertically opposite angles]
D). m∠RSP + m∠OPS = 180° [Consecutive interior angles]
Therefore, Option (C) will be the answer.
Answer:
C
Step-by-step explanation:
OQ and RT are parallel lines, while UN is a transversal that crosses both lines at two points. P and S are a couple.
A). RSU [corresponding angles] OPS
B). [Consecutive interior angles] mOPS + mRSP = 180°
C). [Linear pair of angles] mOPS + mOPN = 180°
D.) Since then, OPS TSP [Alternate Interior Angles] has been implemented.
And [Linear pair of angles] mTSP + mTSU = 180°
As a result, Option (A) is the right one.
Inquiry (2).
A). [Linear pair of angles] mRSP + mRSU = 180°
B). [Linear pair of angles] mRSP + mPST = 180°
C). [Vertically opposite angles] RSP TSU
D). [Consecutive interior angles] mRSP + mOPS = 180°
so it’s gonna have to be C
The current temperature is 54 °F, convert the temperature to Celsius.
Answer:
b) 12.2222
Step-by-step explanation:
(54°F − 32) × 5/9 = 12.222°C
Answer:
The answer is
B ) 12.2
Step-by-step explanation:
(54°F − 32) × 5/9 = 12.222°C
I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)
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
What expression represents the decimal 72.603?
7 x 10 + 2 x 1 + 6 x 1/100 + 3 x 1/1000
7 x 1 + 2 x 10 + 6 x 1/10 + 3 x 1/100
7 x 10 + 2 x 1 + 6 x 1/10+ 3 x 1/1000
7 x 1 + 2 x 1 + 6 x 1/10+ 3 x 1/100
Answer:
C or 7 x 10 + 2 x 1 + 6 x 1/10+ 3 x 1/1000
Step-by-step explanation: just had this on the test
The correct expression for the expansion of 72.603 is 7 x 10 + 2 x 1 + 6 x 1/10 + 3 x 1/1000 (option 3rd)
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given is a decimal number, 72.603
On expanding it, we get,
72.603 = 72 + 0.603
= 7 x 10 + 2 x 1 + 6 x 1/10 + 3 x 1/1000
Hence, the correct expression for the expansion of 72.603 is 7 x 10 + 2 x 1 + 6 x 1/10 + 3 x 1/1000
Learn more about expressions, click;
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which set of ordered pairs does not show y as a function of x
Answer:
b does represent a function
Answer:
c
Step-by-step explanation:
a funtion cannot have and x coordinate repeatin g. there fore, because 2 repeats in c, c is the answer
What is the solution to the equation represented by the model below?
II
X=-14
X-2
X-2
X=14
Answer:
X=14
Step-by-step explanation:
if the number of different schedules is represented by three consecutive even integers, what is the expression for that total number of schedules they have to choose from?
Answer:
s
Step-by-step explanation:
s
Could i get any help here?
Answer:
You will need to figure out how much it is going up by
Step-by-step explanation:
Determine if each line is proportional non-proportional or non-liner
Step-by-step explanation:
non-proportiona
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 visit her grandmother, Jessica takes a horse 3.31 kilometers and a motorcycle 1 kilometer.
How many kilometers is Jessica's journey in total?
Total journey of Jessica is 4.31 kilometer.
To visit her grandmother, Jessica takes a horse 3.31 kilometer and a motorcycle 1 kilometer.
What is Total distance?
The actual distance between the places from which the material is transported to the destination place is called Total distance.
Total journey of Jessica = 3.31 + 1
=4.31 kilometer
So total journey travel by Jessica is 4.31 kilometer.
Learn more about the Total distance visit:
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Solve five ninths plus four sixths. Answer this and ill give brainliest
Answer:
Step-by-step explanation:
(Decimal: 1.222222)
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.
A number decreased by 22 is 44. Which equation can be used to solve this problem
Answer:
44+22=x or x-22=44
Step-by-step explanation:
X is the unknown, and so x decreased (minus) 22 is(equals) 44, so x-22=44.
Hope this helps please mark brainliest :D
1. When developing an interval estimate for the difference between two sample means, with sample sizes of n1 and n2, A. n1 must be equal to n2 B. n1 must be smaller than n2 C. n1 must be larger than n2 D. n1 and n2 can be of different sizes
Answer:
D. n1 and n2 can be of different sizes
Step-by-step explanation:
When we are trying to develop interval estimate for difference between two populations, we first select two samples from these populations. We get the interval using the required statistic.
These are:
- Sample size of both populations. Which are n1 and n2 respectively.
- then the Sample mean of two populations
- sample standard deviation.
The samples of different sample sizes can be used and we are not obligated to make use of the same sample size.
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
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:
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.