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
What is arctan(−1)?
Negative StartFraction 3 pi Over 4 EndFraction
Negative StartFraction pi Over 4 EndFraction
StartFraction pi Over 4 EndFraction
StartFraction 3 pi Over 4 EndFraction
Answer: -pi/4 and 3pi/4
Step-by-step explanation:
Whenever you're given an inverse trig function like this, think "tangent of what gives me -1?" There are multiple ways in which you can solve this; knowing how tangent work, guess checking sin/cos to get -1, or using a calculator. The only way tangent can be an integer is if the sine and cosine of the angle are equal.
The only spots on the pi circle where this happens is pi/4, 3pi/4, 5pi/4, and 7pi/4. Answers B and D are correct
Answer:
b
Step-by-step explanation:
just did it on edg 2020
Evaluate: xy+2x^2, if x=0.1 and y=9.8
Answer: 1
Step-by-step explanation:
[tex](0.1)(9.8)+2(0.1)^2\\0.98+0.02=1[/tex]
A rectangular garden has a width of 10 feet and a length of 14 feet. A cement walkway is added around the outside of the garden. The area of the garden and the walkway together are 320 square feet. What is the width of the walkway
Answer:
The width of the walkway is of 12.86 feet.
Step-by-step explanation:
Area of a rectangle:
The area of a rectangle of length l and width w is given by:
A = lw
A rectangular garden has a width of 10 feet and a length of 14 feet.
So the area of the rectangular garden is of 10*14 = 140 square feet.
The area of the garden and the walkway together are 320 square feet.
So the area of the walkaway is of 320 - 140 = 180 square feet.
What is the width of the walkway
It has the same length of the garden, of 14. So
[tex]14w = 180[/tex]
[tex]w = \frac{180}{14}[/tex]
[tex]w = 12.86[/tex]
The width of the walkway is of 12.86 feet.
PLZ help me with this question
Answer:
A
Step-by-step explanation:
:))
Find this value for brainiest
1+9^14
Answer: 2.2876792e+13
Step-by-step explanation: calculator
(4/5)-2 solution
simplify the equation
Step-by-step explanation:
first we will take comman then
[tex] \frac{4}{5} - \frac{2 \times 5}{5} [/tex]
then 4 - 10
it will be
[tex] \frac{6}{5} [/tex]
or
[tex]1 \frac{1}{5} [/tex]
i hope it will help
Answer:
Solution is [tex]\frac{-6}{5}[/tex]
Step-by-step explanation:
[tex]\frac{4}{5} - 2[/tex]
Set common denominators
[tex]\frac{4}{5} - \frac{10}{5}[/tex]
Subtract
[tex]\frac{4}{5} - \frac{10}{5} = \frac{-6}{5}[/tex]
Triangle EFG is dilated by a scale factor of į to form triangle E'F'G'. What is the
measure of side FG?
4 cups to 8 pints write each ratio in simplest form
Answer:
1:4
Step-by-step explanation:
Convert 8 pints into cups which we can do this by 8x2=16 we can do this because 1 pint=2 cups. So know we have 4:16 which we can simplify to 1:4
Hope this helps :)
Can someone help me with 13-16 I’ll mark brainliest please guys I’m begging
How to solve your problem:
2a+13−0+65b
Simplify:
1. Add the numbers -
2a+13+0+65b = 2a+13+65b
2. Rearrange terms
2a+13+65b = 2a+65b+13
Solution: 2a+65b+13
The answer is B.
1/3y-13=8? What is the answer
Answer:
y=63
Step-by-step explanation:
Start off by adding 13 to both sides:
1/3y-13=8
+13 +13
Now you have this:
1/3y=21
Now multiply each side by 3/1 (3) to get your answer:
(3) 1/3y=21 (3)
Y=63
Check your answer:
63/3=21 21-13=8
I hope this helps, and have a great day! <3 :)
A freight train travels 50 miles per hour. Write a linear function that describes the distance the train travels over time. Then make a graph to show the distance the train travels in 5 hours.
Answer:
d = 50h
d = distance traveled
h = hours
Step-by-step explanation:
an = n2- 5
A) {1, -4, 4, 11, 116...}
B) {1, 2, 3, 4, 5, 6, ...}
C) { -4, 11, 116, 13451,...}
D) { -4, -1, 4, 11, 20,...}
Answer:
D
Step-by-step explanation:
if to substitute values of n=1;2;3;4;5 into
[tex]a_n=n^2-5[/tex]
then a₁=-4; a₂=-1; a₃=4; a₄=11; a₅=20.
It means the answer {-4, -1, 4, 11, 20,...} is correct.
At the not much fun amusement park, Otaka Shawa paid $25.75 for three game of mini-marbles-golf and two rides on the slow-go-karts,while Soren Derkeister paid $35.75 for four games of mini-marbles-golf and three rides on the slow-go-karts. How much did each activity cost?
Pls help I’ll brainlest
Answer:
8
Step-by-step explanation:
Jeremiah bought x toy sets for $20 each and then a video game for $60. Jeremiah spent a total of $220. How may toy sets did he buy?
To find our answer, we can solve the equation:
20x + 60 = 220
-60 -60
20x = 160
/20 /20
x = 8
Jeremiah bought 8 toy sets!
I hope this helps :)
write the following sets in explicit form and determine the cardinality of
each set.
a) μ = {x: x is a positive counting number less 25}
Answer:
As the givens set μ has 24 elements.
Therefore,
Cardinality = 24Step-by-step explanation:
Given
μ = {x: x is a positive counting number less 25}
The set of natural numbers is often termed as the Counting number set.
As the counting numbers are less than 25.
Thus, the set μ is:
μ = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24}
We know that cardinality of the set is the number of elements in a given set.
As the givens set μ has 24 elements.
Therefore,
Cardinality = 243 1/2 + 8 3/4 + 7 5/12 + 1 1/5 =
Answer:
25 3/5
Step-by-step explanation:
i think
Answer:
7/2+35/4+89/12+6/5=210+525+445+72/60=1252/60=313/15
Step-by-step explanation:
Square root of. 100
Answer:
10
Step-by-step explanation:
10 squared is 100
What is the 3rd number in the sequence 2n +2?
Answer:
it would be 2 right by the question mark
Step-by-step explanation:
so 2 is a number the n is going to be a number and then that leaves the last 2 left
How do u do this one ???
Which expression is equivalent to , if y > 0?
A.
B.
C.
D.
Answer:
D. 126y²Step-by-step explanation:
Given expression:
3[tex]\sqrt{2y^3}[/tex]· 7[tex]\sqrt{18y}[/tex]Simplify:
21 [tex]\sqrt{2*18*y^{3+1}}[/tex] = 21[tex]\sqrt{36y^4}[/tex] = 21(6y²) = 126y²Correct choice is D
Answer:
D. 126y²
Step-by-step explanation:
Convert the fraction to a decimal 5/15
What’s the value of X on the parallelogram below?
Answer:
I think x is 34.75.
Step-by-step explanation:
Same side interior angles are supplementary to each other. Angle C and angle E are congruent to each other.
(4x-20)+61=180
4x+41=180
subtract 41 from both sides
4x=139
x=34.75
A force of 90 Newtons is applied to a 20 cm2 surface.
The force applied is then increased by 5 Newton’s and the surface area is increased by 5 cm^2
The given question is incomplete. The complete question is:
A force of 90 Newton's is applied to a [tex]20cm^2[/tex] surface. The force applied is then increased by 5 Newton's and the surface is increased by [tex]5cm^2[/tex]. What percentage does the outcome decrease by
Answer: The outcome decreases by 15.5 %
Step-by-step explanation:
Pressure is defined as the ratio of force per unit area.
[tex]Pressure=\frac{Force}{Area}[/tex]
Case 1: [tex]P_1=\frac{90N}{20cm^2}=4.5Ncm^{-2}[/tex]
Case 2: [tex]P_2=\frac{95N}{25cm^2}=3.8Ncm^{-2}[/tex]
Decrease in pressure = [tex]P_1-P_2[/tex] = [tex](4.5-3.8) Ncm^{-2}=0.7Ncm^{-2}[/tex]
Percentage decrease = [tex]\frac{0.7}{4.5}\times 100\%=15.5\%[/tex]
Thus the outcome decreases by 15.5 %
I need help on this ?
Answer:
The Void
Step-by-step explanation:
no one can help you now
1) x² + x + 3 = 0 use the discriminant to tell whether the equation has two solution
Answer:
The equation does not have any real solutions.
The equation only has two imaginary solutions.
Step-by-step explanation:
Step 1
Use Discriminant to check how many solutions does the equation have.[tex] \large{D = {b}^{2} - 4ac}[/tex]
Let a = 1, b = 1 and c = 3 from the given equation.
[tex]D = {(1)}^{2} - 4(1)(3) \\ D = 1 - 12 \\ D = - 11[/tex]
Since the value of D is in negative. Therefore, the equation does not have any solutions.
Discriminant
[tex]D > 0 \longrightarrow \sf{two \: \: real \: \: solutions} \\ D = 0 \longrightarrow \sf{one \: \: real \: \: solution} \\ D < 0 \longrightarrow \sf{two \: \: imaginary \: \: solutions} [/tex]
(6x2 - 10x +9)+(-5x2 + 9x-5)=
Answer:
x² - x + 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
(6x² - 10x + 9) + (-5x² + 9x - 5)
Step 2: Simplify
Combine like terms (x²): x² - 10x + 9 + 9x - 5Combine like terms (x): x² - x + 9 - 5Combine like terms (Z): x² - x + 4MARKING BRAINLIEST
Which sentence is an example of an objective summary from Cynthia Crossen's "A Culinary Wasteland"?
A. Furthermore, Mr. Schlosser's appraisal is not comprehensive but a hodgepodge of impressions, statistics, anecdotes and prejudices.
B. As a stickler about statistics, I was disturbed by Mr. Schlosser's cavalier manipulation of data, which produced some startling — and, frankly, unbelievable — "facts."
C. Americans are addicted to cheap, bad food, he argues, and like all addictions, this one exacts broad and often unseen costs from the community.
D. Taking individual responsibility for one's impact on the global economy is far more complicated than just saying no to fast food, as Mr. Schlosser advises.
please help me . i'm trying to get my grades up and i'm struggling
Answer:
D
Step-by-step explanation:
just took that test
To make an international telephone call, you need the for the country you are calling. The codes for country A, country B, and C are three consecutive integers whose sum is 90. Find the code for each country.
Answer: 3 consecutive integers
x = 1st integer (country A)
x + 1 = 2nd integer (country B)
x + 2 = 3rd integer (country C)
whose sum is 114
x + (x + 1) + (x + 2) = 114...combine like terms
3x + 3 = 114
3x = 114 - 3
3x = 111
x = 111/3
x = 37 <== country A
x + 1 = 37 + 1 = 38 <==country B
x + 2 = 37 + 2 = 39 <== country C
Step-by-step explanation:
Answer:
29, 30, 31
Step-by-step explanation:
(x) + (x+1) + (x + 2) = 90
3x + 3 = 90
x = 29
(29) + (30) + (31) = 90
Which ordered pair is a solution of y > 2x - 3?
a. (-1, -5)
b. (1, -5)
c. (2, 3)
d. (2, -2)