The value of the equation sin 170° cos 55° + cos 170° sin 55° is given by
C = sin 225° and the value of C = -0.70710678118
What are trigonometric relations?
Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the equation be represented as C
Now , the value of A is given by the equation ,
A = sin 170° cos 55° + cos 170° sin 55°
And let the first angle be = 170°
Let the second angle be = 55°
So , value of A = 170° and value of B = 55°
From the trigonometric relations , we know that
sin ( A + B ) = sin A cos B + cos A sin B be equation (1)
Substitute the values of A and B in the equation , we get
sin 170° cos 55° + cos 170° sin 55° = sin ( 170° + 55° )
So , value of equation A = sin ( 170° + 55° )
On simplifying the equation , we get
sin ( 170° + 55° ) = sin 225°
The value of sin 225° = -0.70710678118
Hence , The value of the equation sin 170° cos 55° + cos 170° sin 55° is given by C = sin 225° and the value of C = -0.70710678118
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Answer: C
Step-by-step explanation:
ur welcome
What is 8 divide 1/5?
What is 8 divide by 1/5
Answer:
40
Step-by-step explanation:
Solve the formula C = ud for d
Answer:
C/u = d
Step-by-step explanation:
Divide u in both sides
Answer:
if you meant rearrange then:
c=ud
divide both sides by u to get d on its own:
c/u=d
orrrr d=c/u
fill in the blanks thanks
Answer:
Um threre is no blanks or there is no question.
Step-by-step explanation:
Consider the transformations performed on quadrilateral WXYZ.
. Translate 7 units to the right and 4 units up.
• Then, rotate 180° about the origin.
Do yk the answer ? Now ?
Answer:
(-4, -5)Step-by-step explanation:
Point Z has coordinates: (-3, 1)
Translate 7 units to the right and 4 units up: (x + 7, y + 4)
Z(-3, 1) → Z'(-3 + 7, 1 + 4) = (4, 5)Then, rotate 180° about the origin: (x, y) → (-x, -y)
Z'(4, 5) → Z''(-4, -5)4 hours worked for $12; 7 hrs worked for $28 are the pair of ratios equal?
Answer:
no they're not equal
Step-by-step explanation:
you can find the ratio by dividing 12/4 and 28/7. 12/4 = 3 and 28/7 = 4. 3 and 4 are not equal, so no.
What’s the answer to this? (2 * 198) - 1073 + 20/92 divided by 173/28
Answer:
if you have and piece of clothing that was left behind.
Step-by-step explanation:
the least common multiple of 14 and 22
Answer:
Least Common Multiple (LCM) of 14 and 22 is 154.
Answer:
Least Common Multiple (LCM) of 14 and 22 is 154.
Somebody help me answer the question please
Answer:
yes i have finished it done
Step-by-step explanation:
Anyone know this or could help me out?
Find the slope of the line that passes
through these two points.
Answer:
1/5
Step-by-step explanation:
[tex]\frac{2-1}{3--2} = \frac{1}{5}[/tex]
Answer: 1/5
Step-by-step explanation: Following our hint,
let's start with the slope formula.
m = y₂ - y₁ / x₂ - x₁
We take the second y minus the first y over the second x minus the first x.
So we have m = 2 - 1 / 3 - (-2) or 1 / 5.
So our slope is 1/5.
After 10 years, the principal on this mortgage is $136,683. How much of the next payment will go towards interest
Answer:
26123 is the answer have a good day
enter decimal numbers in the boxes to complete the order pair that locates point Q on the coordinate plane
Answer:
(1.5,-1.5)
Step-by-step explanation:
Hope this helps you
Can someone solve this equation for me? 34 + 12x = 3x - 22
Thanks. Any help is appreciated! :)
Answer: x= -56/9
Step-by-step explanation:
34+12x=3x-22
Subtract 12x from both sides
34=-9x-22
Add 22 to both sides
56=-9x
Divide -9 by both sides to get x alone
56/-9=x
So
x=-56/9
In a direct variation, y= -1/6 when x=4/3. Write a direct variation equation that shows the relationship between x and y.
Please answer ASAP!
Answer: y = 3x
Step-by-step explanation: For example, if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = = 3. Thus, the equation describing this direct variation is y = 3x.
How much would 7 bottles of water cost
Answer:
$5.25
Step-by-step explanation:
Fred can paint a 30-foot fence in 5 hours. Which of the following is true?
Answer:
lol
Step-by-step explanation:
Factor by Grouping
2y2 + 7yz + 5z2
Enter the value of the expression p(12+q)−3
p
(
1
2
+
q
)
−
3
when p = 4 and q=34
q
=
3
4
.
Answer:
=pq+12p
Step-by-step explanation:
p(12+q)
=(p)(12+q)
=(p)(12)+(p)(q)
=12p+pq
Answer:
Its 2
Step-by-step explanation:
Just did this, please give brainliest!
Solve for x
Enter the solutions from least to greatest.
(x – 7)(-4x − 2) = 0
lesser x =
greater x =
Answer:
X= -1/2 X= 7
Answer:
lesser x= -5 Greater X= 5
Step-by-step explanation:
−x
2
−8
−x
2
x
2
=−33
=−25
=25
Hint #22 / 3
Now we can take the square root of both sides, not forgetting to take both the positive and negative roots of the right-hand side:
\begin{aligned} \sqrt{x^2}&=\sqrt{25} \\\\ x&=\pm 5 \end{aligned}
x
2
x
=
25
=±5
Hint #33 / 3
In conclusion,
\begin{aligned} \text{lesser }x &= -5 \\\\ \text{greater } x &= 5 \end{aligned}
lesser x
greater x
=−5
=5
Geometry
What is the range of possible values for x? The diagram is not to scale.
What is the REMAINDER of 15,908 divided by 13?
Answer: 1223 and the remainder is 9
Step-by-step explanation:
Find the surface area of the figure L=6 W=15 H=4
A. 154 m2
B. 308 m2
C. 203 m2
D. 357 m2
Answer:
Step-by-step explanation:
Given
L=6
W=15
H=4
Solution surface area of the figure=2(lb+bh+hl)
=2(6×15+15×4+4×6)
=2(90+60+24)
=2(174)
=348m^2
How many ways are there to pick 5 people from a committee be of 9 people?
Answer: 3024 ways
Step-by-step explanation: 9*8*7*6*5=3024
Manny rolls a number cube labeled 1-6 and spins a spinner with four equal sections, labeled 1, 2, 3, and 4. If both numbers are odd, he wins. Otherwise, Gabriel wins. Use a list to find the sample space. Then find the probability that Gabriel wins.
a.
1, 1; 1, 2; 1, 3; 1, 4; 2, 1; 2, 2; 2, 3; 2, 4; 3, 1; 3, 2; 3, 3; 3, 4; 4, 1; 4, 2; 4, 3; 4, 4; 5, 1; 5, 2; 5, 3; 5, 4; 6, 1; 6, 2; 6, 3; 6, 4;
b.
1, 1; 1, 2; 1, 3; 1, 4; 2, 1; 2, 2; 2, 3; 2, 4; 3, 1; 3, 2; 3, 3; 3, 4; 4, 1; 4, 2; 4, 3; 4, 4; 5, 1; 5, 2; 5, 3; 5, 4; 6, 1; 6, 2; 6, 3; 6, 4;
c.
1, 1; 1, 2; 1, 3; 1, 4; 2, 1; 2, 2; 2, 3; 2, 4; 3, 1; 3, 2; 3, 3; 3, 4; 4, 1; 4, 2; 4, 3; 4, 4; 5, 1; 5, 2; 5, 3; 5, 4; 6, 1; 6, 2; 6, 3; 6, 4;
d.
1, 1; 1, 2; 1, 3; 1, 4; 2, 1; 2, 2; 2, 3; 2, 4; 3, 1; 3, 2; 3, 3; 3, 4; 4, 1; 4, 2; 4, 3; 4, 4; 5, 1; 5, 2; 5, 3; 5, 4; 6, 1; 6, 2; 6, 3; 6, 4;
Answer:
b
Step-by-step explanation:
Answer:
b.
1, 1; 1, 2; 1, 3; 1, 4; 2, 1; 2, 2; 2, 3; 2, 4; 3, 1; 3, 2; 3, 3; 3, 4; 4, 1; 4, 2; 4, 3; 4, 4; 5, 1; 5, 2; 5, 3; 5, 4; 6, 1; 6, 2; 6, 3; 6, 4;
Step-by-step explanation:
IT'S B
WILL GIVE BRAINLIEST Katya is wanting to put artificial turf in her back yard. Her yard is 20 feet by 30 feet. She figures that she will need the drainage rock under the turf to be 1 foot deep. She goes to the home improvement store and sees the following signs for rock. What is the unit rate of brand B?
What is the y-intercept?
Juan's book has 248 pages this is 10 more pages than there are in Kevin's book how many pages are in Kevin's book
Answer:
238
Step-by-step explanation:
juans has 10 more than kevin's, so you just subtract 10 from 248, getting 238
Replace the with <, >, or = to make the statement true.
5 0-3
5>0-3
Step By Step- 5 is greater than 0-3 because 0-3 would equal a negative number, and all positive numbers are greater than negative numbers
Answer:
5>0-3
Step-by-step explanation:
0.5x = 3
What is the value of x?
Answer:
x = 6
Step-by-step explanation:
To solve this equation, we need to isolate x. To do that, we need to divide both sides of the equation by 0.5. That gives us:
0.5x=3
x=3/0.5 = 6
Answer:
x=6
Step-by-step explanation:
0.5x÷0.5=3÷0.5
x=3÷0.5
x=6
The weekly amount spent by a small company for in-state travel has approximately a normal distribution with mean $1450 and standard deviation $220. What is the probability that the actual expenses will exceed $1560 in 20 or more weeks during the next year?
Answer:
0.0903
Step-by-step explanation:
Given that :
The mean = 1450
The standard deviation = 220
sample mean = 1560
[tex]P(X > 1560) = P( Z > \dfrac{x - \mu}{\sigma})[/tex]
[tex]P(X > 1560) = P(Z > \dfrac{1560 - 1450}{220})[/tex]
[tex]P(X > 1560) = P(Z > \dfrac{110}{220})[/tex]
P(X> 1560) = P(Z > 0.5)
P(X> 1560) = 1 - P(Z < 0.5)
From the z tables;
P(X> 1560) = 1 - 0.6915
P(X> 1560) = 0.3085
Let consider the given number of weeks = 52
Mean [tex]\mu_x[/tex] = np = 52 × 0.3085 = 16.042
The standard deviation = [tex]\sqrt {n \time p (1-p)}[/tex]
The standard deviation = [tex]\sqrt {52 \times 0.3085 (1-0.3085)}[/tex]
The standard deviation = 3.3306
Let Y be a random variable that proceeds in a binomial distribution, which denotes the number of weeks in a year that exceeds $1560.
Then;
Pr ( Y > 20) = P( z > 20)
[tex]Pr ( Y > 20) = P(Z > \dfrac{20.5 - 16.042}{3.3306})[/tex]
[tex]Pr ( Y > 20) = P(Z >1 .338)[/tex]
From z tables
P(Y > 20) [tex]\simeq[/tex] 0.0903