Answer:
The identity sinA sin(A+2B) - sinB sin(B+2A) = (sinA)^2 - (sinB)^2 is proved below.
Step-by-step explanation:
sinA sin(A+2B) - sinB sin(B+2A) =
sinA ( sin(A) cos(2B) + sin(2B) cos(A) ) - sinB (sin(B)cos(2A) + sin(2A)cos(B) ) =
sinA( sinA [cos^2(B)- sin^2(B)] + 2 sin(B) cos(B) cosA ) - sinB( sinB(cos^2A-sin^2A)+2 sinA cosA cos(B) ) =
sin^2A(cos^2B-sin^2B) + 2 sinB cosB sin(A) cos(A) - sin^2B(cos^2A-sin^2A) - 2 sinA sinB cosA cosB =
sin^2A(cos^2B-sin^2B) - sin^2B(cos^2A-sin^2A) =
sin^2Acos^2B - sin^2Asin^2B - sin^2Bcos^2A + sin^2Bsin^2A =
sin^2Acos^2B - sin^2Bcos^2A =
(1 - cos^2A)(cos^2B) - (1 - cos^2B)(cos^2A) =
cos^2B - cos^2A cos^2B - cos^2A + cos^2B cos^2A =
cos^2B - cos^2A =
1 - sin^2B - (1 - sin^2A) =
sin^2 (A) - sin^2 (B)
What is the slope of the line passing through the points (3, -3) and (-5, 3)?
Answer:
acceleration
Step-by-step explanation:
it is slope
3.7% of 35 is what number?
Answer:
1,295
Step-by-step explanation:
35 - 100%
x - 3,7%
x= 35*3,7:100=1,295
Which line contains the points (1,-2) and (-3,2)?
A. Y= -x+1
B. Y= -x-1
C. Y= 1/2x-1
D. Y= -1/2x+1
Answer: y = -x1 - 1
Step-by-step explanation:
Do both points satisfy this equation?:
(1,-2): -2 = -1 -1 Yes
(-3,2): 2 = -(-3)-1 [or 3-1=2] Yes
The line contains the points (1,-2) and (-3,2) is Y= -x-1. The correct option is B.
What is coordinate geometry?A coordinate plane is a 2D plane which is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
Given that the points are (1,-2) and (-3,2). The equation of the line will be the line which satisfies the given points.
Y= -x-1
At points (1,-2),
Y= -x-1
-2=-1-2
-2=-2
At point(-3,2).
Y =-x-1
2=3-1
2 = 2
The line Y= -x-1 is passing through the points (1,-2) and (-3,2). The correct option is B.
To know more about coordinate geometry follow
https://brainly.com/question/18269861
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how is the graph of y = x different from the graph of y = |x|?
20. The sum of a number and 12. divided by 4.
is -7."
Answer:
The number is -40.
Step-by-step explanation:
Hope it helps!
The product of 3 and a number is at
most 21.
Answer:
n = 7
Step-by-step explanation:
3n = 21
n = 7
What's the missing side of this triangle
Answer:
20.25inches
Step-by-step explanation:
Using the Pythagorean theorem,
h^2=7^2 +19^2
h^2=410
h=sqr 410=20.25inches
does anybody know the awsner
Answer: C) Wanda converted the percent to a decimal incorrectly. It should be 0.73.
Step-by-step explanation:
To change a percent to a decimal, simply divide it by 100.
Answer:
cheese and are you in flordiada? i had the same program
Step-by-step explanation:
Which example represents a 25% increase? Group of answer choices The attendance at the local high school drama for Friday evening was 400. On Saturday, the attendance was 550. The price of gas Monday was $2.00 per gallon. On Tuesday, the price gas was $2.25 per gallon. Terri's grade on her math test was 50%. She was able to retake the test and score a 75%. Steve caught 8 fish on Friday. On Saturday, he was able to catch 10 fish.
Here is the screenshots for my question
Ques 8 From the graph the solution of the equations y = −2x and y = x +6 y=x+6 is
Answer:
the first option if you are looking for where they intercept
Step-by-step explanation:
6) Identify the graphed linear equation. A) y = 2 5 x - 5 B) y = 1 5 x - 5 C) y = 2 5 x + 5 D) y = 1 5 x + 5
Answer: There is no graph that I can see. I created one showing each line.
Step-by-step explanation: A straight line has the form y=mx+b, where m is the slope and b is the y-intercept (the value of y when x is zero). The two lines with slope 25 will rise much more quickly than the ones with a slope of 5. You could eliminate two lines based on that alone. With the two remaining lines, look at the y-intercept seen on the graph (the value of y when x=0). The options are 5 and -5. The correct line will be the one with the expected intercept.
Help me solve please!
To get to the camp in time, tourists had to go with a speed 4km/h. They went with that speed half of the road, but then they drove with a bus and arrived to the camp 2h 20min before the planned time. How many kilometers did tourists drive with the bus, if the speed of the bus was 60km/h?
Answer:
it is solved at jemrare dot com
Step-by-step explanation:
This problem can be solved using distance formula;
s=vt
Here we suppose;
Speed of Tourists=v1=4 km/h
speed of bus=v2=60km/h
Total time to be taken by the tourists to reach the camp without bus=t
Time taken by tourists when bus used=t-2h20min=t-140min
let the total distance is ‘x’ but half is travelled without bus and other half by bus!
for first half distance=s1 =x/2
for second half distance=s2=x/2
Using s=vt formula for first half;
.........................................
see or visit jemrare dot com
I need help pleaseee
Answer:
its too small, i cant read it, sorry
Step-by-step explanation:
science-fiction book is 180 pages long. She has read 135 pages so far. Brooke has read _____% of the book.
180-135=45
45/180 ×100
25%
Be sure to show your work and solve the following equation:
(26 + 4) = 6=
Answer:
I assume the extra = after 6 is a typo in that case the answer is
30≠6
False
No Solution
Step-by-step explanation:
26 + 4 = 30
30 = 6
is not a true statement therefore making it incorrect
Answer:
is 6
Step-by-step explanation:
26+4=6
30=6
Answer my question and give me the explanation clearly…
Please help! 10 points to solve it!
Suppose that NASA wants to launch a probe to study Mercury. It will take the probe 150 days to travel the 96,562,000 miles that planet.
How many miles per day does the probe need to travel? Round to the nearest hundredth, if needed.
Answer:
643746.67
Step-by-step explanation:
Simply divide 96,562,000 by 150 and round to nearest hundredth.
Answer:
yes he is right: )
Step-by-step explanation:
please mark me brainliest because i'm not a nerd..... no offence.
what is 9 + 10 - 11 + 23 and 12
Evaluate using suitable identity:
c). 98²
Step-by-step explanation:
★ Solution :-[tex]\sf \longmapsto 98^2[/tex]
[tex]\sf \longmapsto (a - b)^2 = a^2 - 2ab + b^2[/tex]
Here,
a = 100b = 2[tex]\sf \longmapsto (100 - 2)^2 = 100^2 - 2(100)(2) + 2^2[/tex]
[tex]\sf \longmapsto 100^2 - 2(100)(2) + 2^2[/tex]
[tex]\sf \longmapsto 10000 - 400 + 4[/tex]
[tex]\sf \longmapsto 9606[/tex]
Exercise 1.3 Write each of the following expressions, if possible, as a polynomial in the form
a.
[tex](x {}^{2} - x - 6)(x + 2)[/tex]
Answer:
In complete question please edit question
26 past due! last question!! ty for all you guys' help!!
Answer:
Slope = 3/2, or 1.5
Step-by-step explanation:
Pick out the lattice points ( points that intersect the graph markings)
I see 2 points, ( 3, 1), and ( 5, 4)
Slope = Δy/xΔ = 4 - 1/5 - 3 = 3/2
Slope is 3/2, or 1.5
-Chetan K
On Monday, the escalator was not working. It took Tom 18 seconds to reach the top, climbing two steps each second. By Tuesday the escalator had been repaired and Tom took only 12 seconds to reach the top climbing at the same rate. Wednesday Tom decided to ride the escalator without climbing at all. How long did it take to reach the top this time?
Answer:
15 seconds
Step-by-step explanation:
According to a U.S. news poll, 38% of students in the class of 2013 had done an internship during their time as an undergraduate student. Dana is interested in finding out whether students at her university had an internship rate that was higher than the national average. She obtained a list of 25 randomly selected students from the population of all students at her university by requesting this information from the university’s institutional research office. She collected the responses and calculated that the proportion for her university was 43%. Which one of the following statements about the z-test is correct?
It is not safe to use the z-test for p, since the sample is not a random sample from the entire population (or cannot be considered as one).
It is not safe to use the z-test for p, since n * (1 ? po) is not large enough.
It is safe to use the z-test for p.
It is not safe to use the z-test for p, since n * po is not large enough.
A national poll by the Institute for College Access and Success showed that in 69% of college graduates from public and nonprofit colleges in 2013 had student loan debt. Dr. Blackman wanted to find out if her public nonprofit university had a lower proportion of students who graduated with student loan debt in 2013.
For this survey, the null hypothesis was that the proportion of students with graduated with student loan debt equals 69% and the alternative hypothesis is that the proportion with student loan debt does not equal 69%. The significance level for this test was 0.05.
The results of the hypothesis test of the new survey showed a p-value of 0.039.
Which of the following statements is correct? Check all that apply.
The results were statistically significant.
The results were not statistically significant.
The null hypothesis should be rejected.
The null hypothesis should be accepted.
The null hypothesis cannot be rejected.
Answer: The null hypothesis should be accepted and The results were not statistically significant
Step-by-step explanation:
1. Use the conditional statement below to answer each question.
“If two angle measures add up to 90 degrees, then the angles are complementary.”
a. Write the converse, inverse, and contrapositive of the given conditional statement.
b. Can the conditional be written as a biconditional statement? Why or why not. Support your answer.
P.S. I already answered the first part, I just need help with part b
Answer:
can you explain it more and then I will know the answer
plz help will mark you as brainliest
(only brainliest for the person who answers the most answers) u don't have to answer all questions tho u can just answer one
Answer:
down there
Step-by-step explanation:
36.B
37.B
38.A
39.B
40.B
(correct me if im wrong<3)
Need help please explain
Answer:
nearest hundred= perimeter of the triagle= x metres= nearest hundred- 100
plz answer this, will give brainliest answer
Answer:
Similar - Yes
Similarity Statement - cdef ~ qrst
Scale factor - 3/4
Step-by-step explanation:
Hope this helps :)
At the city museum, child admission is S5.20 and adult admission is $9.50. On Friday, 167 tickets were sold for a total sales of $1255.40. How many adult
tickets were sold that day?
The correct answer is: 28 children and 122 adults
Find cos O if sinO = sqrt2/2 is in the second quadrant
Answer:
D. [tex]-\frac{\sqrt{2} }{2}[/tex]
Step-by-step explanation:
So, on a regular coordinate plane, coordinates are written (x,y)
well, in trig, coordinates are written (cosθ, sinθ).
if sinθ=[tex]\frac{\sqrt{2} }{2}[/tex] in the second quadrant, then look for the "y-value" that says
if you don't have a unit circle to look at, then it helps to know that the fraction [tex]\frac{\sqrt{2} }{2}[/tex] is ONLY found with ITSELF OR THE NEGATIVE OF ITSELF. it is never paired with another number.
this means that this number will only be seen in the coordinates
[tex](\frac{\sqrt{2} }{2} ,\frac{\sqrt{2} }{2})\\(-\frac{\sqrt{2} }{2},\frac{\sqrt{2} }{2})\\(-\frac{\sqrt{2} }{2},-\frac{\sqrt{2} }{2})\\(\frac{\sqrt{2} }{2},-\frac{\sqrt{2} }{2})[/tex]
use this knowledge along with knowing the signs in each quadrant:
Q1: (+,+)
Q2: (–,+)
Q3: (–,–)
Q4: (+,–)