Answer:
621
629
Step-by-step explanation:
We know that
sin
(
x
+
y
)
=
sin
x
cos
y
+
sin
y
cos
x
If
cos
x
=
8
17
and
sin
y
=
12
37
We can use,
cos
2
x
+
sin
2
x
=
1
and
cos
2
y
+
sin
2
y
=
1
To calculate
sin
x
and
cos
y
sin
2
x
=
1
−
cos
2
x
=
1
−
(
8
17
)
2
=
225
17
2
sin
x
=
15
17
cos
2
y
=
1
−
sin
2
y
=
1
−
(
12
37
)
2
=
1225
37
2
cos
y
=
35
37
so,
sin
(
x
+
y
)
=
15
17
⋅
35
37
+
12
37
⋅
8
17
=
621
629
Answer link
Shwetank Mauria
Nov 22, 2016
sin
(
x
+
y
)
=
621
629
or
−
429
629
depending on the quadrant in which sine and cosine lie.
Explanation:
Before we commence further, it may be mentioned that as
cos
x
=
8
17
,
x
is in
Q
1
or
Q
4
i.e.
sin
x
could be positive or negative and as
sin
y
=
12
37
,
y
is in
Q
1
or
Q
2
i.e.
cos
y
could be positive or negative.
Hence four combinations for
(
x
+
y
)
are there and for
sin
(
x
+
y
)
=
sin
x
cos
y
+
cos
x
sin
y
, there are four possibilities.
Now as
cos
x
=
8
17
,
sin
x
=
√
1
−
(
8
17
)
2
=
√
1
−
64
289
=
√
225
289
=
±
15
17
and
as
sin
y
=
12
37
,
cos
y
=
√
1
−
(
12
37
)
2
=
√
1
−
144
1369
=
√
1225
1369
=
±
35
37
Hence,
(1) when
x
and
y
are in
Q
1
sin
(
x
+
y
)
=
15
17
×
35
37
+
8
17
×
12
37
=
525
+
96
629
=
621
629
(2) when
x
is in
Q
1
and
y
is in
Q
2
sin
(
x
+
y
)
=
15
17
×
−
35
37
+
8
17
×
12
37
=
−
525
+
96
629
=
−
429
629
(3) when
x
is in
Q
4
and
y
is in
Q
2
sin
(
x
+
y
)
=
−
15
17
×
−
35
37
+
8
17
×
12
37
=
525
+
96
629
=
621
629
(4) when
x
is in
Q
4
and
y
is in
Q
1
sin
(
x
+
y
)
=
−
15
17
×
35
37
+
8
17
×
12
37
=
−
525
+
96
629
=
−
429
629
Hence,
sin
(
x
+
y
)
=
621
629
or
−
429
629
Mr. Barrientos can run 2 ½ miles in 2 hours. How many miles can he run in 6 hours? Show your work.
Answer:
7 1/2 miles
Step-by-step explanation:
Complete the statement to illustrate the commutative property. (PLEASE ANSWER FAST FOR BRAINLIEST!!!)
10 + (9 + 11) = 10 + (11 + ___ )
a. 11
b. 20
c. 9
d. 10
Answer:
9
Step-by-step explanation:
What is the distance between (4, 3) and (9, 15) on the coordinate plane? Select two that apply.
V169 units
V144 units
5 units
13 units
12 units
Answer:
169 units
13 units
The distance between the two points (4, 3) and (9, 15) will be 13 units. Then the correct options are A and D.
What is the distance between two points?Let one point be (x, y) and another point be (h, k).
Then the distance between the points will be
D² = (x - h)² + (y - k)²
The coordinate of the points is given below.
(4, 3) and (9, 15)
Then the distance between the two points (4, 3) and (9, 15) will be given as,
D² = (9 - 4)² + (15 - 3)²
D² = 5² + 12²
D² = 25 + 144
D² = 169
D = 13 units
The distance between the two points (4, 3) and (9, 15) will be 13 units. Then the correct options are A and D.
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What is the equation of the line? (Lol please answer I didn’t pay attention in class)
The graph below represents a function.
what are the rate of change and the initial value of the function represented by the graph
A.the rate of change is 3 and the initial value is 5
B.the rate of change is 1/3 and the initial value is 5
C.the rate of change is 5 and the initial value is 3
D.the rate of change is 5 and the initial value is 1/3
Answer:
B
Step-by-step explanation:
A statistics student wants to determine if there is a relationship between a student's number of absences, x, and
their grade point average (GPA), y. The given data lists the number of absences and GPAs for 15 randomly selected
students
15
1
0
6
9
12
3
3
1
2
7
0
4
Number of
Absences
GPA
2.1
4.3 4.5
3.2
4.0
1.7
3.8
2.9
3.6
3
3.4
2
2.6
3.1
2.8
Using technology, what is the equation for the least-squares regression line?
O ý= 3.79 -0.10x
O ý= 0.10 + 3.79x
O ý= 16.15 – 3.28x
O ý= -3.28 + 16 15x
Answer: A. ÿ=3.79-0.10x
Step-by-step explanation:I’m a genius
Which function is increasing and has a vertical asymptote at x = 5?
A. f(x) = -In x + 5
B. f(x)= - In (x – 5)
C. f(x) = ln(x – 5)
D. f(x) = ln x + 5
help me do this please!!!
Answer:
Step-by-step explanation:
ok soo....
the area of the one like higher up would be 42
and then the area of the one like landscape would be 48
and then the area of like the box they make in the middle is 30
so ya i hope this helped
Elena swan 14 laps in 42 minutes.how many minutes per lap did Elena swim?round your answer to two decimal places must be a decimal answer.
Answer: 4
Step-by-step explanation:
Draw a model to show 3/4 of 16
If you can’t draw a model to show
You can explain it
Answer:
Answer Below
Step-by-step explanation:
3/4 of 16
Depends of what you want.
You can make a pie chart. So you have 4 sections and then you shade 3. Then you have the word 4 in each sector.
Answer:
Draw a box and split it into four pieces. Write 4 in each of those pieces. Put a "{" or "}" around 3 of them. Next to it write. 4 x 3 OR 4 + 4 + 4 = 12
Hope that helps!
Step-by-step explanation:
Right Triangle ABC has its right angle at C, BC = 4, and AC= 8.
What is the value of the trigonometric ratio?
cos B
csc B
tan A
Drag a value to each box to match the trigonometric ratio?
9514 1404 393
Answer:
cos B = (√5)/5
csc B = (√5)/2
tan A = 1/2
Step-by-step explanation:
The length of hypotenuse AB is given by the Pythagorean theorem:
AB² = AC² +BC²
AB² = 8² +4² = 64 +16 = 80
AB = √80 = 4√5
The mnemonic SOH CAH TOA can help you remember the needed ratios.
Cos = Adjacent/Hypotenuse
cos B = BC/AB = 4/(4√5)
cos B = (√5)/5
__
Sin = Opposite/Hypotenuse
csc = 1/sin = Hypotenuse/Opposite
csc B = AB/AC = (4√5)/8
csc B = (√5)/2
__
Tan = Opposite/Adjacent
tan A = BC/AC = 4/8
tan A = 1/2
Answer:
tan A = 1/2
cos B = √5/5
csc B = √5/2
Step-by-step explanation: I took the test
PLEASE HELP ON #3 ASAP!
9514 1404 393
Answer:
1a: x+3 = 5
1c: 6 = 2z
2b: x = 2
2d: 3 = z
3: the solutions make the hangars balance
Step-by-step explanation:
1. We can write the equations by listing the contents of the hangar and using an equal sign to show the balance between left side and right side. It can work well to put left side contents of the hangar on the left side of the equal sign.
A: x + 3 = 5
C: 1 + 1 + 1 + 1 + 1 + 1 = z + z simplifies to 6 = 2z
__
2. B: We can subtract 3 from both sides of the hangar (and equation) to find the value of x.
(x +3) -3 = 5 -3
x = 2 . . . . . hangar balances with 2 on the right
D: We can divide both sides of the hangar by 2, splitting the content into two equal parts. Then one of those parts can be removed from each side.
2(3) = 2(z)
3 = z . . . . . . hangar balances with 3 on the left
__
3. The found values will keep the hangar in balance when they are substituted for the corresponding variables.
A: 2 + 3 = 5
C: 1 + 1 + 1 + 1 + 1 + 1 = 3 + 3
What is the solution to the system of linear equations graphed below?
Answer:
Step-by-step explanation:
The solution is the point where the lines intersect! (3.5,-4)
anyone know what company has a greater rate per window and explain please.
Answer:
Company B
Step-by-step explanation:
Company A charges 25 per window, company b charges 40 per window, and company c charges 35 per window so company b has the highest rate
Answer:
company a the rate per window is $75
Step-by-step explanation:
the graph shows company a charges $75 for 1 window
company b (by the chart) charges $55
company c (using the equation) charges $60
35(1)+25=$60 (1 in the equation is the number of windows)
The graph show how the amount of fuel in the gas tank changes over time. Choose the graph that correctly combines the graphs of Car A and Car B to show when Car B has more fuel in its tank than Car A.
Answer:
its b
Step-by-step explanation:
Complete each equation so that it is true for no values of x.
x - 2 = -(__- x)
nswer:
(x +5)^2 = -2
Step-by-step explanation: w t f
We can subtract the constant to get ...
x^2 +10x = -27
Then add the square of half the x-coefficient:
x^2 +10x +5^2 = -27 +5^2
(x +5)^2 = -2 . . . . . . write as a square
Find the third term of a proportional if the first, second and fourth terms are 24, 36, 126
Answer:
The third term of a proportional is: 84
Step-by-step explanation:
We know that if a, b, c and d are in proportion, then:
a × d = b × c
In our case, we are given the first, second, and fourth terms are 24, 36, 126.
a = 24
b = 36
d = 126
and we have to determine the third term 'c'.
as we know that if a, b, c, and d are in proportion, then:
a × d = b × c
Thus,
substituting a = 24, b = 36, d = 126 to determine
24 × 126 = 36 × c
c = (24 × 126)/36
c = 3024/36
c = 84
Thus, the third term of a proportional is: 84
The value of y varies directly with x and y= 7.2 when x= 1.6, find y when x=2.4
Answer:
When x = 2.4, we have y = 10.8
Step-by-step explanation:
A direct variation of two variables, x, and y, can be written as:
y = k*x
Where k is a constant, called the constant of variation.
We know that y = 7.2, when x = 1.6
Then we can replace these two in the above equation to get:
7.2 = k*1.6
Now we can solve this for k:
7.2/1.6 = k = 4.5
Then our relation is:
y = 4.5*x
Now we want to find the value of y, when x = 2.4
Then we just need to replace x by 2.4 in the above equation:
y = 4.5*(2.4) = 10.8
y = 10.8
f(x) = -4x2 + 5x
Find f (6)
Marvin was buying soil for his flower garden. What would be the most reasonable amount of soil he would need to buy for a flower garden? A. 6 grams B. 60 liters C. 60 kilograms D. 6,000 kilograms
Answer:
60 liters
Step-by-step explanation:
Answer:
C. 60 kilograms
Step-by-step explanation:
The person above me is incorrect because liters is used on liquids
321. The lanes on the circular outdoor track are one meter wide. By running in the lane next to the innermost lane, Corey ran extra distance in an eight-lap race. How much
I need help please help me
Answer:
look below
Step-by-step explanation:
1*2=1
2^2=4
3^2=9
4^2=16
5^2=25
6^2=36
7^2=49
8^2=64
9^2=81
10^2=100
11^2=121
12^2=144
13^2=169
14^2=196
15^2=225
I had to memorize all of these up to 20 squared 2 years ago lol
X 1. Solve the equation
Atun
(x + 2) = 20
Answer:
hi
Step-by-step explanation:
Answer:
18 ?
Step-by-step explanation: What is Atun ?
Need help on this please
Answer:
157.08m²
Step-by-step explanation:
Since the area of a circle is A=πr²
The radius is 10, so
A=π10²
A=314.16 (rounded to nearest hundredth)
Half of that is 157.08.
Alejandro was curious if sample median was an unbiased estimator of population median. He placed ping pong balls numbered from 000 to 323232 in a drum and mixed them well. Note that the median of the population is 161616. He then took a random sample of 555 balls and calculated the median of the sample. He replaced the balls and repeated this process for a total of 505050 trials. His results are summarized in the dotplot below, where each dot represents the sample median from a sample of 555 balls. A dot plot for a sample median has a scale from 0 to 30. The number of dots for each is as follows. 0, 0. 1, 0. 2, 0. 3, 0. 4, 1. 5, 1. 6, 2. 7, 1. 8, 0. 9, 1. 10, 5. 11, 3. 12, 2. 13, 4. 14, 1. 15, 3. 16, 4. 17, 4. 18, 1. 19, 2. 20, 4. 21, 2. 22, 0. 23, 1. 24, 2. 25, 1. 26, 1. 27, 0. 28, 2. 29, 2. 30, 0. Based on these results, does sample median appear to be a biased or unbiased estimator of population median
Answer:
Sample median appears to be an unbiased estimator of the population median
Step-by-step explanation:
The sample median appears to be centered near 16
The required sample median appears to be an unbiased estimator of the population median
What are dot plots?A dot plot defined as a collection of plots or dot diagrams is a simple form of data illustration that consists of data points plotted in the form of dots on a graph with axes.
Here,
He placed ping pong balls numbered from 0 to 32 in a drum and mixed them well.
The median of the population is 16. So the sample median appears to be centered near the 16. He replaced the balls and repeated this process for a total of 50 trials.
When plotting the dot plot of the given system, it is summarised that the sample median appears to be an unbiased estimator of the population median.
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I need help ASAP with both
Answer:
No for the first one, yes for the second.
Step-by-step explanation:
Plug in the given numbers and see if it works.
15(1) + 3(4) = 10
15 + 12 = 10.
27 ≠ 10
Since 27 does not equal 10, we can already see that solution (1,4) will not work for these equations.
Now for the second problem, do the same thing.
10 = 1 + 9.
This is true, but remember to check the second equation just to be sure.
10 = 4(1) + 6
10 = 4 + 6
This is also true, so it (1,10) is a solution for the second system of equations.
b(x)=[x+4], what is b(-10)?
Step-by-step explanation:
b(x) = x + 4
b( -10) = - 10 + 4
= - 6
Hope it will help :)❤
Answer:
-6
Step-by-step explanation:
b(-10) = -10 +4
= -6
11.
(a) a radius 10.00
(bla diameter 17.5cm
2. Find the area in hectares of a rectangular piece of land
1.25km by 0.75km.
Answer:
Step-by-step explanation:
1.25 km × 0.75 km = 0.9375 km²
1 km = 100 hectares
0.9375 km² = 93.75 hectares²
factor the expression-15x +39
Answer:
3(5−13)
Step-by-step explanation:
..............
Answer:
-3(5x-13)
Step-by-step explanation:
The greatest common factor is 3 and you want the # with the variable to be positive, usually, so just factor -3 out and that's what you get.
-2 - 5r = 18
help mee
Answer:
r = -4
Step-by-step explanation:
-2 - 5r = 18
+2 +2
––––––––
-5r = 20
/5 /5
––––––
-r = 4
/-1 /-1
–––––
r = -4