Find the length of side x in simplest radical form with a rational denominator.
60
X
5
30
There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
Sin 30 = 5/x
Sin 30 = 1/2
x = 10
The length of the side x is 10.
What are trigonometric identities?
There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
We have,
The length of side x can be calculated using the trigonometric identities.
We know that,
Sin x = Perpendicular / Hypotenuse
Sin 30 = 5 / x
1/2 = 5/x
Multiply 2 on both sides.
1= 10/x
x = 10
Thus,
The length of the side x is 10.
Learn more about trigonometric identities here:
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this is a part of science too so pleae help
Please help it’s due in 10 minutes
I will also venmo you $5
Answer:
[tex] \arc{PNM} = 222 [/tex]
Step-by-step explanation:
Central angle = measure of the arc it subtends
Therefore:
[tex] \arc{PN} = \arc{PM} = 138 [/tex]
A full circle = 360°
So,
[tex] \arc{PN} + \arc{PM} + \arc{NM} = 360 [/tex]
Plug in the values
[tex] 138 + 138 + \arc{NM} = 360 [/tex]
[tex] 276 + \arc{NM} = 360 [/tex]
[tex] \arc{NM} = 360 - 276 [/tex] (subtraction property of equality)
[tex] \arc{NM} = 84 [/tex]
[tex] \arc{PNM} = \arc{NM} + \arc{PN} [/tex]
Plug in the values
[tex] \arc{PNM} = 84 + 138 [/tex]
[tex] \arc{PNM} = 222 [/tex]
Please help me !!!!!!
Answer:
A
Step-by-step explanation:
Hope it helps!
Answer:
i think its b
Step-by-step explanation:
John has a bag of marbles There are 3 green, 4 blue, 2 red and 1 yellow. What is the probability of him getting a green or blue?
Answer:
7/10 or 70%Step-by-step explanation:
Total marbles:
3 + 4 + 2 + 1 = 10Green and blue marbles:
3 + 4 = 7Probability of getting green or blue:
7/10What is the last digit of 777^777?
Answer:
7 I. guessing oh wait nah its fish
Reindeer are fed 2 cups of corn for every 3 cups of grain. If you have 12 cups of corn, how many cups of grain need to be added?
S cups
1 cup
9 cups
13 cups
please help asap!!!!
Answer:
z = 25
Step-by-step explanation:
adjacent angles in a rhombus are supplementary
3z - 15 + 7z - 55 = 180
10z - 70 = 180
10z = 250
z = 25
Please help by today
Answer:
hmmmmm
Step-by-step explanation:
Answer:
∠3 = 108
Step-by-step explanation:
∠1 + ∠2=180 because a straight line is 180°
∠1=5x+10 and ∠2=9x+2
5x+10 + 9x+2 = 14x+12
14x+12=180
180-12=168
168/14=12
x=12
∠2 = 9x+2 = 110
180-110 = 70
∠4 = 70
∠4 + ∠3 + ∠5 = 180
∠5 = 90 -5x = 30
i messed up the process here lol but the answer is for sure right
An air traffic controller is tracking two planes. To start, Plane A is at an altitude of 4385 feet and Plane B is at an altitude of 5000 feet. Plane A is gaining altitude at 55.5 feet per second and Plane B is gaining altitude at 45.25 feet per second.
How many seconds will pass before the planes are at the same altitude?
seconds
What will their altitude be when they're at the same altitude?
feet
Answer:
60 seconds, 7715 feet
Step-by-step explanation:
Plane A and B start out 615 feet apart, and we find this by subtracting the height of plane A from plane B, getting 5000-4385=615. Now we have to find how many more feet of altitude plane A is gaining per second over plane B.
To find this we subtract 45.25 from 55.5 and get 10.25 feet per second. Now to find out how many seconds until they'll be at the same altitude we simply divide 615 by 10.25, getting 60 seconds.
For the second part, to find the altitude at this point, we simply multiply the altitude gain of one of the planes per second by the time of 60 seconds to get how much altitude they gained over that time, and add it to the starting altitude. Doing this with plane B we get 45.25*60=2715, and we add that to 5000 to get the final answer of 7715.
if 2/5 cups of coconut shavings cover 1/4 of the cake, then how much coconut shavings are needed for the entire cake?
Answer:
24/20 cups or 6/5 cups.
Step-by-step explanation:
Good luck :)
HELP PLEASE
-9x + 3 > 39 OR - 5x + 6 < 16
9514 1404 393
Answer:
(-∞, -4) ∪ [-2, ∞)
Step-by-step explanation:
The solution to the first inequality is ...
-9x +3 > 39
-9x > 36 . . . . . subtract 3 from both sides
x < -4 . . . . . . . divide both sides by -9; reverse > to < because -9 is negative
__
The solution to the second inequality is ...
-5x +6 ≤ 16
-5x ≤ 10 . . . . . . . subtract 6 from both sides
x ≥ -2 . . . . . . divide both sides by -2; reverse ≤ to ≥ because -2 is negative
__
These solution sets are disjoint. The solution of the OR of these inequalities is the union of the solution sets. The graph is shown below. In interval notation, it is described by ...
(-∞, -4) ∪ [-2, ∞)
The -2 has a square bracket because it is included in the set. The curved bracket at -4 indicates it is not included.
If Maggie rides for 2 hours on a bicycle, what is her rate if she rides for 8 miles?
__________________ mph
Answer:
4 mph
Explanation:
8 miles / 2 hours = 4 miles each hour
7.43+9.25 Show Your Work
Answer:
16.68
Step-by-step explanation:
just add them like regular numbers then just put the decimal
simplify the expression (-6i)(-6i)
Answer:
36i^2 i think that's right
What is the value of the expression 3y−4 when y = 2?
Answer: 2
Step-by-step explanation:
we simply plug in 2 for y.
3(2) - 4
6 - 4
6 - 4 = 2
Answer:
3y-4=2
3×2-4
=6-4
2 the value of y is 2
Estimate the quotient 19 4/5 • 4 5/8
Answer:
-0.1692
Step-by-step explanation:
use your cakculator
PLEASE HELP ME~!!!!!!!
Answer: y= 5x + 3
Step-by-step explanation:
Lol literally so easy when you understand it so:
the formula for slope intercept form is:
y= mx + b
in this case just plug in the values
hope this helps ;)
also can I get brainliest pls?
Which expression is equivalent to 4.005−3.12?
Answer:
0.885
Step-by-step explanation:
The truck costs $ 9,068 including a 19% port tax. If the selling price is reduced by 20%. Find out the new car price before tax is added.
Answer:
$ 6096
Step-by-step explanation:
Let the cost of truck = x
x+19% of x = 9068
x + 0.19x = 9068
1.19 x = 9068
[tex]x = \frac{9068}{1.19}[/tex]
x = 7620.17
Reduction = 20% of 7620.17
= 0.20 * 7620.17
= $ 1524.03
New price = 7620.17 - 1524.03
= $ 6096.14
Cooper runs a farm stand that sells apples and grapes. Each pound of apples sells for $3 and each pound of grapes sells for $2.25. Cooper sold 3 times as many pounds of apples as pounds of grapes and he made $180 altogether. Graphically solve a system of equations in order to determine the number of pounds of apples sold, x,x, and the number of pounds of grapes sold, yy.
Answer:
The answer seems like it's 400 but i'm not 100% sure.
Step-by-step explanation:
Guess the rule and add the next number in the sequence.
6, 8, 12, 18, 26,
Answer:
The rule: Adds twice as much as the previous number added
Next number: 38
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
The rule is every time you add 2 so 6 plus 2 equals 8 them you would do 8+4=12. your counting by 2 as u go up the line.
Help please I will Brainly
Answer:
6 cm² is correct answer
because there aren't any halves, mostly quarters, we won't count quarters or lesser than that.
In the diagram of collin ear points, LP=27, LM=NP, and MN=3
16. LM=
17. NP=
18. MP=
19. NL=
Answer:
Step-by-step explanation:
Given:
LP = 27
LM = NP
MN = 3
16). LP = LM + MN + NP
27 = LM + 3 + LM
27 = 3 + 2(LM)
LM = 12
17). Since, LM = NP
NP = 12
18). Since, MP = MN + NP
MP = 3 + 12
MP = 15
19). NL = LM + MN
NL = 12 + 3
NL = 15
Jason keeps track of the money he earns and spends in the table below. A positive number
means money earned. A negative number means money spent. Which list shows the
amounts in dollars ordered from least to greatest?
please please please help
Answer:
I have no clue what part B is asking because I can't read it, but here is part A!
AB/PQ = 2/3
AC/PR = 2/3
BC/QR = 2/3
Step-by-step explanation:
Since it says that the tiangles are similar, then it means that AB=PQ, AC=PR, BC=QR.
So, AB/PQ = 6/9 = 2/3
And, AC/PR = 8/12 = 2/3
Also, BC/QR = 10/15 = 2/3
Will mark brainliest!!!Solve for x and round to the nearest tenth
Answer:
i think its 63
Elizabeth practices the piano 1470 minutes in 5 weeks. If t represents the total time she practices for any number of days, d, write a proportional equation for t in terms of d that matches the context.
Using proportions, it is found that the proportional equation for t in terms of d that matches the context is:
[tex]t = 42d[/tex]
Elizabeth practices the piano 1470 minutes in 5 weeks, hence, each day, consdering a week has 7 days, the amount of time she practices is:
[tex]a = \frac{1470}{35} = 42[/tex]
Hence, the proportional equation, considering t the time in minutes and d the number of days, is:
[tex]t = 42d[/tex]
You can learn more about proportions at https://brainly.com/question/24372153
WORTH 67 POINTS!! PLEASE HELP QUICK!!
A.
B.
C.
D.
Step-by-step explanation:
When m > -3.1, the line should extend towards the right and the point at 3.1 should be an empty circle. (as m = 3.1 is not included in the solution set)
Hence the answer is Option D.
P.S. The reason why A is wrong is because the number line is wrongly labelled. -3.3, -3.2 and -3.1 are all less than -3 and should be on the left of the number line.
The ratio of men to women working for a company is 5 to 8. If there are 232 women working for the company, what is the total number of employees?
Answer:
The total number of employees is 377.
Step-by-step explanation:
1. You divide total number of women (232) by the ratio of women. (8)
232/8 =29
2. You take 29 and multiply it by the amount of men in the ratio. (5)
29*5=145
3. Finally you just add the total amount of men (145) and the total amount of women. (232)
232+145=377
I hope this helps!
I tried to explain to the best of my ability.
Answer: 377 employees
Step-by-step explanation:
The ratio of men to women can be represented as [tex]\frac{5}{8}[/tex] where the numerator represents how many men are in the company, and the denominator represents how many women are in the company. Given that there are 232 women in the company, we can replace denominator with 232, and then cross multiply.
[tex]\frac{5}{8}= \frac{x}{232}[/tex] After cross multiplying, the expression left would be 8x = 1160. To get the final answer, we would only need to simplify this. It would give us a total of 145, which is how many men work in the company.
Lastly, add the the number or men and women working in the company, and that would be the total people that work in the company
